{"id":1392,"date":"2020-09-18T18:47:43","date_gmt":"2020-09-18T18:47:43","guid":{"rendered":"https:\/\/weberbooks.com\/asvab\/?page_id=1392"},"modified":"2020-09-18T18:47:43","modified_gmt":"2020-09-18T18:47:43","slug":"mathematics-knowledge-test-3","status":"publish","type":"page","link":"https:\/\/weberbooks.com\/asvab\/index.php\/mathematics-knowledge-test-3\/","title":{"rendered":"Mathematics Knowledge &#8211; Test 3"},"content":{"rendered":"            <div class='ays-quiz-container  '                 data-quest-effect='fade'                  data-hide-bg-image='false'                 id='ays-quiz-container-24'>                <div class='ays-live-bar-wrap'><div class='ays-live-bar-fill' style='width: 0%;'><span><span class='ays-live-bar-percent'>0<\/span>%<\/span><\/div><\/div>                                <div class='ays-questions-container'>                    <span class='ays_quizn_ancnoxneri_qanak'><i class='ays_fa ays_fa_users'><\/i> 34<\/span>                    <form                         action=''                         method='post'                         autocomplete='off'                        id='ays_finish_quiz_24'                         class='enable_correction enable_questions_result '                    >            <input type='hidden' value='list' class='answer_view_class'>            <input type='hidden' value='' class='ays_qm_enable_arrows'><section  style='display:none;'  class='ays_quiz_timer_container'>                <div class='ays-quiz-timer' data-timer='1200'><\/div>                <div class='ays-quiz-after-timer '><p>Time Expired<\/p><\/div>                <hr style='height:1px;'>            <\/section>                                    <div class='step active-step'>                <div class='ays-abs-fs ays-start-page'>                                                                                <div class='ays-fs-subtitle'><p><strong>This subtest has 16 questions and a time limit of 20 minutes<\/strong><\/p><\/div>                    <input type='hidden' name='ays_quiz_id' value='24'\/>                    <input type='hidden' name='ays_quiz_questions' value='388,384,380,374,371,367,363,359,355,351,347,343,340,336,332,328'>                                        <div class='ays_buttons_div'>                        <input type='button'   name='next' class='ays_next start_button action-button' value='Start' data-enable-leave-page=\"false\" \/>                    <\/div>                                                        <\/div>            <\/div><div class='step  ' data-question-id='343'>                                                <p class='ays-question-counter animated'>1 \/ 16<\/p>                        <div class='ays-abs-fs'>                                                        <div class='ays_quiz_question'>                                <p>Find the slope of 10x=2y+7<\/p>                            <\/div>                                                        <div class='ays-quiz-answers ays_list_view_container'>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-343]' id='ays-answer-1244-24' value='1244'\/>                <label for='ays-answer-1244-24' class='  ays_position_initial '>7.5<\/label><label for='ays-answer-1244-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='1'\/>                <input type='radio' name='ays_questions[ays-question-343]' id='ays-answer-1242-24' value='1242'\/>                <label for='ays-answer-1242-24' class='  ays_position_initial '>5<\/label><label for='ays-answer-1242-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-343]' id='ays-answer-1245-24' value='1245'\/>                <label for='ays-answer-1245-24' class='  ays_position_initial '>3<\/label><label for='ays-answer-1245-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-343]' id='ays-answer-1243-24' value='1243'\/>                <label for='ays-answer-1243-24' class='  ays_position_initial '>10<\/label><label for='ays-answer-1243-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div><\/div>                                                        <div class='ays_buttons_div'>                                                <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_previous action-button ays_display_none' value='Prev' \/>                                                <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>                    <\/div>                            <div class='wrong_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">This is a linear equation. In order to graph it, \"y\" must be on one side of the equation by itself. The equation for a linear equation is y=mx+b, where m is the slope and b is the y-intercept. So the number next to \"x\" after you solve the equation for \"y\" is the slope of the line. Here are the steps on how to do this:<\/p><p style=\"text-align: left;\">1. First you have to solve for \"y\" so rearrange the equation so that it says y=5x-7\/2.<\/p><p style=\"text-align: left;\">a) To do this, first subtract 7 from each side, making the equation look like this--&gt; 2y=10x-7.<\/p><p style=\"text-align: left;\">b)Then divide each term by 2 on each side, changing the equation to y=5x-7\/2. (2y divided by 2 =y)(10x divided by 2 =5x) and (-7 divided by 2 =-7\/2)<\/p><p style=\"text-align: left;\">2.Since the equation for linear equations is y=mx+b, the slope of the linear equation is 5. This is because 5 is the number being multiplied by \"x\". The -7\/2 is the y-intercept, but you don't need to know that.<\/p><p style=\"text-align: left;\">Here it's laid out so it's simpler to visualize:<\/p><p style=\"text-align: left;\">2y+7=10x<\/p><p style=\"text-align: left;\">2y+7-7=10x-7<\/p><p style=\"text-align: left;\">2y=10x-7<\/p><p style=\"text-align: left;\">2y\/2=(10x-7)\/2 (\/ is division)<\/p><p style=\"text-align: left;\">y=5x-7\/2 (don't simplify -7\/2 because it makes the equation harder if you need to graph it.<\/p><p style=\"text-align: left;\">Slope=5<\/p>                            <\/div>                            <div class='right_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">This is a linear equation. In order to graph it, \"y\" must be on one side of the equation by itself. The equation for a linear equation is y=mx+b, where m is the slope and b is the y-intercept. So the number next to \"x\" after you solve the equation for \"y\" is the slope of the line. Here are the steps on how to do this:<\/p><p style=\"text-align: left;\">1. First you have to solve for \"y\" so rearrange the equation so that it says y=5x-7\/2.<\/p><p style=\"text-align: left;\">a) To do this, first subtract 7 from each side, making the equation look like this--&gt; 2y=10x-7.<\/p><p style=\"text-align: left;\">b)Then divide each term by 2 on each side, changing the equation to y=5x-7\/2. (2y divided by 2 =y)(10x divided by 2 =5x) and (-7 divided by 2 =-7\/2)<\/p><p style=\"text-align: left;\">2.Since the equation for linear equations is y=mx+b, the slope of the linear equation is 5. This is because 5 is the number being multiplied by \"x\". The -7\/2 is the y-intercept, but you don't need to know that.<\/p><p style=\"text-align: left;\">Here it's laid out so it's simpler to visualize:<\/p><p style=\"text-align: left;\">2y+7=10x<\/p><p style=\"text-align: left;\">2y+7-7=10x-7<\/p><p style=\"text-align: left;\">2y=10x-7<\/p><p style=\"text-align: left;\">2y\/2=(10x-7)\/2 (\/ is division)<\/p><p style=\"text-align: left;\">y=5x-7\/2 (don't simplify -7\/2 because it makes the equation harder if you need to graph it.<\/p><p style=\"text-align: left;\">Slope=5<\/p>                            <\/div>                            <div class='ays_questtion_explanation' style='display:none'>                                                            <\/div>                                                    <\/div>                    <\/div><div class='step  ' data-question-id='359'>                                                <p class='ays-question-counter animated'>2 \/ 16<\/p>                        <div class='ays-abs-fs'>                                                        <div class='ays_quiz_question'>                                <p style=\"text-align: left;\">An isosceles triangle has area of 110 ft2. If the base is 14 ft, what is the length of the legs? Round your answer to the nearest tenth.<\/p>                            <\/div>                                                        <div class='ays-quiz-answers ays_list_view_container'>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='1'\/>                <input type='radio' name='ays_questions[ays-question-359]' id='ays-answer-1308-24' value='1308'\/>                <label for='ays-answer-1308-24' class='  ays_position_initial '>17.2<\/label><label for='ays-answer-1308-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-359]' id='ays-answer-1307-24' value='1307'\/>                <label for='ays-answer-1307-24' class='  ays_position_initial '>15.7<\/label><label for='ays-answer-1307-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-359]' id='ays-answer-1309-24' value='1309'\/>                <label for='ays-answer-1309-24' class='  ays_position_initial '>21<\/label><label for='ays-answer-1309-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-359]' id='ays-answer-1306-24' value='1306'\/>                <label for='ays-answer-1306-24' class='  ays_position_initial '>11<\/label><label for='ays-answer-1306-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div><\/div>                                                        <div class='ays_buttons_div'>                                                <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_previous action-button ays_display_none' value='Prev' \/>                                                <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>                    <\/div>                            <div class='wrong_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">(a) 0.5 x base x height equals area. We know the area is 110 and the base is 14. So : 0.5 x 14 x height = 110. Solve for height, you get 110\/7.<\/p><p style=\"text-align: left;\">(b) Consider a line from the top of the triangle to the base. That line forms a right triangle. I know one leg of the right triangle is 7 (half the base) and I know the other leg is 110\/7 (from part a).<\/p><p style=\"text-align: left;\">(c) use the pythagorean theorem to determine the length of a side: sqrt((7)^2 + (110\/7)^2) = 17.2<\/p>                            <\/div>                            <div class='right_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">(a) 0.5 x base x height equals area. We know the area is 110 and the base is 14. So : 0.5 x 14 x height = 110. Solve for height, you get 110\/7.<\/p><p style=\"text-align: left;\">(b) Consider a line from the top of the triangle to the base. That line forms a right triangle. I know one leg of the right triangle is 7 (half the base) and I know the other leg is 110\/7 (from part a).<\/p><p style=\"text-align: left;\">(c) use the pythagorean theorem to determine the length of a side: sqrt((7)^2 + (110\/7)^2) = 17.2<\/p>                            <\/div>                            <div class='ays_questtion_explanation' style='display:none'>                                                            <\/div>                                                    <\/div>                    <\/div><div class='step  ' data-question-id='336'>                                                <p class='ays-question-counter animated'>3 \/ 16<\/p>                        <div class='ays-abs-fs'>                                                        <div class='ays_quiz_question'>                                <p style=\"text-align: left;\">Solve 5-6x&lt;7<\/p>                            <\/div>                                                        <div class='ays-quiz-answers ays_list_view_container'>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='1'\/>                <input type='radio' name='ays_questions[ays-question-336]' id='ays-answer-1214-24' value='1214'\/>                <label for='ays-answer-1214-24' class='  ays_position_initial '>x&gt;(-1\/3) -- x  is less than negative one third<\/label><label for='ays-answer-1214-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-336]' id='ays-answer-1215-24' value='1215'\/>                <label for='ays-answer-1215-24' class='  ays_position_initial '>x=3<\/label><label for='ays-answer-1215-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-336]' id='ays-answer-1217-24' value='1217'\/>                <label for='ays-answer-1217-24' class='  ays_position_initial '>3=5.4<\/label><label for='ays-answer-1217-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-336]' id='ays-answer-1216-24' value='1216'\/>                <label for='ays-answer-1216-24' class='  ays_position_initial '>x&lt;1.3<\/label><label for='ays-answer-1216-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div><\/div>                                                        <div class='ays_buttons_div'>                                                <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_previous action-button ays_display_none' value='Prev' \/>                                                <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>                    <\/div>                            <div class='wrong_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">5-6x&lt;7<\/p><p style=\"text-align: left;\">-5+(5-6x)&lt;7-5 subtract 5 from both sides to get rid of the 5 on the left<\/p><p style=\"text-align: left;\">(-6x)\/6&lt;2\/6 divide each side by six<\/p><p style=\"text-align: left;\">-x&lt;(1\/3) here is the tricky part when ever you divide and ineqaulity by a negative number you always flip the inequality (&gt; becomes &lt;)<\/p><p style=\"text-align: left;\">Answer: x&gt;(-1\/3) x is less than negative one third<\/p>                            <\/div>                            <div class='right_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">5-6x&lt;7<\/p><p style=\"text-align: left;\">-5+(5-6x)&lt;7-5 subtract 5 from both sides to get rid of the 5 on the left<\/p><p style=\"text-align: left;\">(-6x)\/6&lt;2\/6 divide each side by six<\/p><p style=\"text-align: left;\">-x&lt;(1\/3) here is the tricky part when ever you divide and ineqaulity by a negative number you always flip the inequality (&gt; becomes &lt;)<\/p><p style=\"text-align: left;\">Answer: x&gt;(-1\/3) x is less than negative one third<\/p>                            <\/div>                            <div class='ays_questtion_explanation' style='display:none'>                                                            <\/div>                                                    <\/div>                    <\/div><div class='step  ' data-question-id='332'>                                                <p class='ays-question-counter animated'>4 \/ 16<\/p>                        <div class='ays-abs-fs'>                                                        <div class='ays_quiz_question'>                                <p>You want to buy a $200,000 home. You plan to pay 10% as a down payment, and take out a 30 year loan for the rest. How much is the loan amount going to be?<\/p>                            <\/div>                                                        <div class='ays-quiz-answers ays_list_view_container'>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-332]' id='ays-answer-1201-24' value='1201'\/>                <label for='ays-answer-1201-24' class='  ays_position_initial '>$155,000<\/label><label for='ays-answer-1201-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-332]' id='ays-answer-1199-24' value='1199'\/>                <label for='ays-answer-1199-24' class='  ays_position_initial '>$189,000<\/label><label for='ays-answer-1199-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-332]' id='ays-answer-1198-24' value='1198'\/>                <label for='ays-answer-1198-24' class='  ays_position_initial '>$175,000<\/label><label for='ays-answer-1198-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='1'\/>                <input type='radio' name='ays_questions[ays-question-332]' id='ays-answer-1200-24' value='1200'\/>                <label for='ays-answer-1200-24' class='  ays_position_initial '>$180,000<\/label><label for='ays-answer-1200-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div><\/div>                                                        <div class='ays_buttons_div'>                                                <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_previous action-button ays_display_none' value='Prev' \/>                                                <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>                    <\/div>                            <div class='wrong_answer_text ' style='display:none'>                                <p><img class=\"alignnone size-full wp-image-1373\" src=\"https:\/\/weberbooks.com\/asvab\/wp-content\/uploads\/2020\/09\/17-scaled.jpg\" alt=\"\" width=\"2560\" height=\"104\" \/><\/p>                            <\/div>                            <div class='right_answer_text ' style='display:none'>                                <p><img src=\"https:\/\/weberbooks.com\/asvab\/wp-content\/uploads\/2020\/09\/17-scaled.jpg\" alt=\"\" width=\"2560\" height=\"104\" class=\"alignnone size-full wp-image-1373\" \/><\/p>                            <\/div>                            <div class='ays_questtion_explanation' style='display:none'>                                                            <\/div>                                                    <\/div>                    <\/div><div class='step  ' data-question-id='347'>                                                <p class='ays-question-counter animated'>5 \/ 16<\/p>                        <div class='ays-abs-fs'>                                                        <div class='ays_quiz_question'>                                <p style=\"text-align: left;\">Anna, Bob, and Chris will not disclose their weights but agree to be weighed in pairs. Anna and Bob together weigh 224 pounds. Bob and chris together weigh 209 pounds. Anna and Chris together weigh 200 pounds. How much does Bob weigh?<\/p>                            <\/div>                                                        <div class='ays-quiz-answers ays_list_view_container'>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='1'\/>                <input type='radio' name='ays_questions[ays-question-347]' id='ays-answer-1258-24' value='1258'\/>                <label for='ays-answer-1258-24' class='  ays_position_initial '>116.5<\/label><label for='ays-answer-1258-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-347]' id='ays-answer-1259-24' value='1259'\/>                <label for='ays-answer-1259-24' class='  ays_position_initial '>124<\/label><label for='ays-answer-1259-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-347]' id='ays-answer-1261-24' value='1261'\/>                <label for='ays-answer-1261-24' class='  ays_position_initial '>155<\/label><label for='ays-answer-1261-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-347]' id='ays-answer-1260-24' value='1260'\/>                <label for='ays-answer-1260-24' class='  ays_position_initial '>98<\/label><label for='ays-answer-1260-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div><\/div>                                                        <div class='ays_buttons_div'>                                                <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_previous action-button ays_display_none' value='Prev' \/>                                                <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>                    <\/div>                            <div class='wrong_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">A + B = 224<\/p><p style=\"text-align: left;\">B + C = 209<\/p><p style=\"text-align: left;\">A + C = 200<\/p><p style=\"text-align: left;\">B = 209 - C<\/p><p style=\"text-align: left;\">A + (209 - C) = 224<\/p><p style=\"text-align: left;\">A = 15 + C<\/p><p style=\"text-align: left;\">15 + C + C = 200<\/p><p style=\"text-align: left;\">2C = 185<\/p><p style=\"text-align: left;\">C = 92.5 lbs<\/p><p style=\"text-align: left;\">B + 92.5 = 209<\/p><p style=\"text-align: left;\">B = 116.5<\/p>                            <\/div>                            <div class='right_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">A + B = 224<\/p><p style=\"text-align: left;\">B + C = 209<\/p><p style=\"text-align: left;\">A + C = 200<\/p><p style=\"text-align: left;\">B = 209 - C<\/p><p style=\"text-align: left;\">A + (209 - C) = 224<\/p><p style=\"text-align: left;\">A = 15 + C<\/p><p style=\"text-align: left;\">15 + C + C = 200<\/p><p style=\"text-align: left;\">2C = 185<\/p><p style=\"text-align: left;\">C = 92.5 lbs<\/p><p style=\"text-align: left;\">B + 92.5 = 209<\/p><p style=\"text-align: left;\">B = 116.5<\/p>                            <\/div>                            <div class='ays_questtion_explanation' style='display:none'>                                                            <\/div>                                                    <\/div>                    <\/div><div class='step  ' data-question-id='367'>                                                <p class='ays-question-counter animated'>6 \/ 16<\/p>                        <div class='ays-abs-fs'>                                                        <div class='ays_quiz_question'>                                <p>If an isosceles triangle has a perimeter 345 cm and base length 85 cm, what is the length of each length of each leg?\"<\/p>                            <\/div>                                                        <div class='ays-quiz-answers ays_list_view_container'>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-367]' id='ays-answer-1338-24' value='1338'\/>                <label for='ays-answer-1338-24' class='  ays_position_initial '>30 cm<\/label><label for='ays-answer-1338-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-367]' id='ays-answer-1339-24' value='1339'\/>                <label for='ays-answer-1339-24' class='  ays_position_initial '>230 cm<\/label><label for='ays-answer-1339-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='1'\/>                <input type='radio' name='ays_questions[ays-question-367]' id='ays-answer-1341-24' value='1341'\/>                <label for='ays-answer-1341-24' class='  ays_position_initial '>130 cm<\/label><label for='ays-answer-1341-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-367]' id='ays-answer-1340-24' value='1340'\/>                <label for='ays-answer-1340-24' class='  ays_position_initial '>110 cm<\/label><label for='ays-answer-1340-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div><\/div>                                                        <div class='ays_buttons_div'>                                                <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_previous action-button ays_display_none' value='Prev' \/>                                                <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>                    <\/div>                            <div class='wrong_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">Write what you know.<\/p><p style=\"text-align: left;\">Variables:<\/p><p style=\"text-align: left;\">a = first isosceles leg<\/p><p style=\"text-align: left;\">b = second isosceles leg<\/p><p style=\"text-align: left;\">c = base<\/p><p style=\"text-align: left;\">Given: perimeter 345 cm<\/p><p style=\"text-align: left;\">Means: a + b + c = 345<\/p><p style=\"text-align: left;\">Given: base length 85<\/p><p style=\"text-align: left;\">Means: c = 85<\/p><p style=\"text-align: left;\">Implied: You know that the non-base legs have the same lenght.<\/p><p style=\"text-align: left;\">Means: a = b<\/p><p style=\"text-align: left;\">You have 3 equations.<\/p><p style=\"text-align: left;\">a + b + c = 345<\/p><p style=\"text-align: left;\">c = 85<\/p><p style=\"text-align: left;\">a = b<\/p><p style=\"text-align: left;\">Substitute c with 85 and a with b in the first equation.<\/p><p style=\"text-align: left;\">a + b + c = 345<\/p><p style=\"text-align: left;\">b + b + 85 = 345<\/p><p style=\"text-align: left;\">2b + 85 = 345<\/p><p style=\"text-align: left;\">2b = 345 - 85<\/p><p style=\"text-align: left;\">2b = 260<\/p><p style=\"text-align: left;\">b = 260 \/ 2<\/p><p style=\"text-align: left;\">b = 130<\/p><p style=\"text-align: left;\">Since a = b, a is also 130.<\/p><p style=\"text-align: left;\">ANSWER: Each leg is 130 cm. The base is 85 cm (given).<\/p>                            <\/div>                            <div class='right_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">Write what you know.<\/p><p style=\"text-align: left;\">Variables:<\/p><p style=\"text-align: left;\">a = first isosceles leg<\/p><p style=\"text-align: left;\">b = second isosceles leg<\/p><p style=\"text-align: left;\">c = base<\/p><p style=\"text-align: left;\">Given: perimeter 345 cm<\/p><p style=\"text-align: left;\">Means: a + b + c = 345<\/p><p style=\"text-align: left;\">Given: base length 85<\/p><p style=\"text-align: left;\">Means: c = 85<\/p><p style=\"text-align: left;\">Implied: You know that the non-base legs have the same lenght.<\/p><p style=\"text-align: left;\">Means: a = b<\/p><p style=\"text-align: left;\">You have 3 equations.<\/p><p style=\"text-align: left;\">a + b + c = 345<\/p><p style=\"text-align: left;\">c = 85<\/p><p style=\"text-align: left;\">a = b<\/p><p style=\"text-align: left;\">Substitute c with 85 and a with b in the first equation.<\/p><p style=\"text-align: left;\">a + b + c = 345<\/p><p style=\"text-align: left;\">b + b + 85 = 345<\/p><p style=\"text-align: left;\">2b + 85 = 345<\/p><p style=\"text-align: left;\">2b = 345 - 85<\/p><p style=\"text-align: left;\">2b = 260<\/p><p style=\"text-align: left;\">b = 260 \/ 2<\/p><p style=\"text-align: left;\">b = 130<\/p><p style=\"text-align: left;\">Since a = b, a is also 130.<\/p><p style=\"text-align: left;\">ANSWER: Each leg is 130 cm. The base is 85 cm (given).<\/p>                            <\/div>                            <div class='ays_questtion_explanation' style='display:none'>                                                            <\/div>                                                    <\/div>                    <\/div><div class='step  ' data-question-id='340'>                                                <p class='ays-question-counter animated'>7 \/ 16<\/p>                        <div class='ays-abs-fs'>                                                        <div class='ays_quiz_question'>                                <p>Solve for x:<\/p><p>x\/4 - x\/7 = 3<\/p>                            <\/div>                                                        <div class='ays-quiz-answers ays_list_view_container'>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-340]' id='ays-answer-1230-24' value='1230'\/>                <label for='ays-answer-1230-24' class='  ays_position_initial '>30<\/label><label for='ays-answer-1230-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-340]' id='ays-answer-1232-24' value='1232'\/>                <label for='ays-answer-1232-24' class='  ays_position_initial '>10<\/label><label for='ays-answer-1232-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='1'\/>                <input type='radio' name='ays_questions[ays-question-340]' id='ays-answer-1231-24' value='1231'\/>                <label for='ays-answer-1231-24' class='  ays_position_initial '>28<\/label><label for='ays-answer-1231-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-340]' id='ays-answer-1233-24' value='1233'\/>                <label for='ays-answer-1233-24' class='  ays_position_initial '>25<\/label><label for='ays-answer-1233-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div><\/div>                                                        <div class='ays_buttons_div'>                                                <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_previous action-button ays_display_none' value='Prev' \/>                                                <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>                    <\/div>                            <div class='wrong_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">Rewrite Problem<\/p><p style=\"text-align: left;\">X\/4 - X\/7 = 3<\/p><p style=\"text-align: left;\">Multiply each side by 7, then by 4<\/p><p style=\"text-align: left;\">7X - 4X = 84<\/p><p style=\"text-align: left;\">Subtract<\/p><p style=\"text-align: left;\">3X = 84<\/p><p style=\"text-align: left;\">Divide by 3<\/p><p style=\"text-align: left;\">X = 28<\/p>                            <\/div>                            <div class='right_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">Rewrite Problem<\/p><p style=\"text-align: left;\">X\/4 - X\/7 = 3<\/p><p style=\"text-align: left;\">Multiply each side by 7, then by 4<\/p><p style=\"text-align: left;\">7X - 4X = 84<\/p><p style=\"text-align: left;\">Subtract<\/p><p style=\"text-align: left;\">3X = 84<\/p><p style=\"text-align: left;\">Divide by 3<\/p><p style=\"text-align: left;\">X = 28<\/p>                            <\/div>                            <div class='ays_questtion_explanation' style='display:none'>                                                            <\/div>                                                    <\/div>                    <\/div><div class='step  ' data-question-id='351'>                                                <p class='ays-question-counter animated'>8 \/ 16<\/p>                        <div class='ays-abs-fs'>                                                        <div class='ays_quiz_question'>                                <p style=\"text-align: left;\">A family determined the average cost of maintaining and operating the family car to be about $ .30 per mile. On one trip the family drove at an average rate of 50 miles per hour for a total of 6.5 hours. On a second trip they drove at an average rate of 55 miles per hour for a total of 6 hours. Which trip cost more, and how much more?<\/p>                            <\/div>                                                        <div class='ays-quiz-answers ays_list_view_container'>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-351]' id='ays-answer-1277-24' value='1277'\/>                <label for='ays-answer-1277-24' class='  ays_position_initial '>Trip two cost more by $5.10<\/label><label for='ays-answer-1277-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-351]' id='ays-answer-1276-24' value='1276'\/>                <label for='ays-answer-1276-24' class='  ays_position_initial '>Trip two cost more by $1.99<\/label><label for='ays-answer-1276-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-351]' id='ays-answer-1275-24' value='1275'\/>                <label for='ays-answer-1275-24' class='  ays_position_initial '>Trip one cost more by $1.50<\/label><label for='ays-answer-1275-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='1'\/>                <input type='radio' name='ays_questions[ays-question-351]' id='ays-answer-1274-24' value='1274'\/>                <label for='ays-answer-1274-24' class='  ays_position_initial '>Trip two cost more by $1.50<\/label><label for='ays-answer-1274-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div><\/div>                                                        <div class='ays_buttons_div'>                                                <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_previous action-button ays_display_none' value='Prev' \/>                                                <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>                    <\/div>                            <div class='wrong_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">Trip one: (50 mph)( 6.5 hrs) = 325 miles<\/p><p style=\"text-align: left;\">(325miles)($0.30 per mile) = $97.50<\/p><p style=\"text-align: left;\">Trip two: (55mph)(6.0 hrs) = 330 miles<\/p><p style=\"text-align: left;\">(330 miles)($0.30 per mile) = $99.00<\/p><p style=\"text-align: left;\">Trip two cost more by ($99.00 - $97.50) = $1.50<\/p>                            <\/div>                            <div class='right_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">Trip one: (50 mph)( 6.5 hrs) = 325 miles<\/p><p style=\"text-align: left;\">(325miles)($0.30 per mile) = $97.50<\/p><p style=\"text-align: left;\">Trip two: (55mph)(6.0 hrs) = 330 miles<\/p><p style=\"text-align: left;\">(330 miles)($0.30 per mile) = $99.00<\/p><p style=\"text-align: left;\">Trip two cost more by ($99.00 - $97.50) = $1.50<\/p>                            <\/div>                            <div class='ays_questtion_explanation' style='display:none'>                                                            <\/div>                                                    <\/div>                    <\/div><div class='step  ' data-question-id='374'>                                                <p class='ays-question-counter animated'>9 \/ 16<\/p>                        <div class='ays-abs-fs'>                                                        <div class='ays_quiz_question'>                                <p style=\"text-align: left;\">Band Practice lasted 1 1\/4 hours. Two thirds of the time was spent marching. How much times was spent marching?<\/p>                            <\/div>                                                        <div class='ays-quiz-answers ays_list_view_container'>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-374]' id='ays-answer-1369-24' value='1369'\/>                <label for='ays-answer-1369-24' class='  ays_position_initial '>30 minutes<\/label><label for='ays-answer-1369-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='1'\/>                <input type='radio' name='ays_questions[ays-question-374]' id='ays-answer-1366-24' value='1366'\/>                <label for='ays-answer-1366-24' class='  ays_position_initial '>50 minutes<\/label><label for='ays-answer-1366-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-374]' id='ays-answer-1367-24' value='1367'\/>                <label for='ays-answer-1367-24' class='  ays_position_initial '>20 minutes<\/label><label for='ays-answer-1367-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-374]' id='ays-answer-1368-24' value='1368'\/>                <label for='ays-answer-1368-24' class='  ays_position_initial '>2 hours<\/label><label for='ays-answer-1368-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div><\/div>                                                        <div class='ays_buttons_div'>                                                <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_previous action-button ays_display_none' value='Prev' \/>                                                <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>                    <\/div>                            <div class='wrong_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">In hours:<\/p><p style=\"text-align: left;\">= 2\/3(1 1\/4)<\/p><p style=\"text-align: left;\">= 2\/3(5\/4)<\/p><p style=\"text-align: left;\">= 10\/12 or 5\/6<\/p><p style=\"text-align: left;\">In minutes:<\/p><p style=\"text-align: left;\">= 60(5\/6)<\/p><p style=\"text-align: left;\">= 300\/6 or 50<\/p><p style=\"text-align: left;\">Answer: 5\/6 hour OR 50 minutes<\/p>                            <\/div>                            <div class='right_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">In hours:<\/p><p style=\"text-align: left;\">= 2\/3(1 1\/4)<\/p><p style=\"text-align: left;\">= 2\/3(5\/4)<\/p><p style=\"text-align: left;\">= 10\/12 or 5\/6<\/p><p style=\"text-align: left;\">In minutes:<\/p><p style=\"text-align: left;\">= 60(5\/6)<\/p><p style=\"text-align: left;\">= 300\/6 or 50<\/p><p style=\"text-align: left;\">Answer: 5\/6 hour OR 50 minutes<\/p>                            <\/div>                            <div class='ays_questtion_explanation' style='display:none'>                                                            <\/div>                                                    <\/div>                    <\/div><div class='step  ' data-question-id='355'>                                                <p class='ays-question-counter animated'>10 \/ 16<\/p>                        <div class='ays-abs-fs'>                                                        <div class='ays_quiz_question'>                                <p style=\"text-align: left;\">In a room with 35 men, 80% of the occupants are women. How many women are in this room?<\/p>                            <\/div>                                                        <div class='ays-quiz-answers ays_list_view_container'>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-355]' id='ays-answer-1293-24' value='1293'\/>                <label for='ays-answer-1293-24' class='  ays_position_initial '>200<\/label><label for='ays-answer-1293-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-355]' id='ays-answer-1291-24' value='1291'\/>                <label for='ays-answer-1291-24' class='  ays_position_initial '>100<\/label><label for='ays-answer-1291-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='1'\/>                <input type='radio' name='ays_questions[ays-question-355]' id='ays-answer-1290-24' value='1290'\/>                <label for='ays-answer-1290-24' class='  ays_position_initial '>140<\/label><label for='ays-answer-1290-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-355]' id='ays-answer-1292-24' value='1292'\/>                <label for='ays-answer-1292-24' class='  ays_position_initial '>75<\/label><label for='ays-answer-1292-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div><\/div>                                                        <div class='ays_buttons_div'>                                                <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_previous action-button ays_display_none' value='Prev' \/>                                                <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>                    <\/div>                            <div class='wrong_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">35 men makes 20% so 35\/.2 gives the number of people in the room, so that makes 175 people. 80% of that is 140 women.<\/p>                            <\/div>                            <div class='right_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">35 men makes 20% so 35\/.2 gives the number of people in the room, so that makes 175 people. 80% of that is 140 women.<\/p>                            <\/div>                            <div class='ays_questtion_explanation' style='display:none'>                                                            <\/div>                                                    <\/div>                    <\/div><div class='step  ' data-question-id='380'>                                                <p class='ays-question-counter animated'>11 \/ 16<\/p>                        <div class='ays-abs-fs'>                                                        <div class='ays_quiz_question'>                                <p style=\"text-align: left;\">Solve:<\/p><p style=\"text-align: left;\">8\/20 = 30\/x<\/p>                            <\/div>                                                        <div class='ays-quiz-answers ays_list_view_container'>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-380]' id='ays-answer-1392-24' value='1392'\/>                <label for='ays-answer-1392-24' class='  ays_position_initial '>x = 85<\/label><label for='ays-answer-1392-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='1'\/>                <input type='radio' name='ays_questions[ays-question-380]' id='ays-answer-1391-24' value='1391'\/>                <label for='ays-answer-1391-24' class='  ays_position_initial '>x = 75<\/label><label for='ays-answer-1391-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-380]' id='ays-answer-1390-24' value='1390'\/>                <label for='ays-answer-1390-24' class='  ays_position_initial '>x = 70<\/label><label for='ays-answer-1390-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-380]' id='ays-answer-1393-24' value='1393'\/>                <label for='ays-answer-1393-24' class='  ays_position_initial '>x = 65<\/label><label for='ays-answer-1393-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div><\/div>                                                        <div class='ays_buttons_div'>                                                <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_previous action-button ays_display_none' value='Prev' \/>                                                <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>                    <\/div>                            <div class='wrong_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">8\/20=30\/x<\/p><p style=\"text-align: left;\">..8.......30<\/p><p style=\"text-align: left;\">----- = -------- we cross multiply<\/p><p style=\"text-align: left;\">.20.......x<\/p><p style=\"text-align: left;\">8x=600 divide both sides by 8<\/p><p style=\"text-align: left;\">x=75<\/p>                            <\/div>                            <div class='right_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">8\/20=30\/x<\/p><p style=\"text-align: left;\">..8.......30<\/p><p style=\"text-align: left;\">----- = -------- we cross multiply<\/p><p style=\"text-align: left;\">.20.......x<\/p><p style=\"text-align: left;\">8x=600 divide both sides by 8<\/p><p style=\"text-align: left;\">x=75<\/p>                            <\/div>                            <div class='ays_questtion_explanation' style='display:none'>                                                            <\/div>                                                    <\/div>                    <\/div><div class='step  ' data-question-id='384'>                                                <p class='ays-question-counter animated'>12 \/ 16<\/p>                        <div class='ays-abs-fs'>                                                        <div class='ays_quiz_question'>                                <p style=\"text-align: left;\">Solve:<\/p><p style=\"text-align: left;\">[(1\/3)(1\/4)] + [(1\/6)\/(8\/3)]<\/p>                            <\/div>                                                        <div class='ays-quiz-answers ays_list_view_container'>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-384]' id='ays-answer-1408-24' value='1408'\/>                <label for='ays-answer-1408-24' class='  ays_position_initial '>5\/11<\/label><label for='ays-answer-1408-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='1'\/>                <input type='radio' name='ays_questions[ays-question-384]' id='ays-answer-1406-24' value='1406'\/>                <label for='ays-answer-1406-24' class='  ays_position_initial '>7\/48<\/label><label for='ays-answer-1406-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-384]' id='ays-answer-1407-24' value='1407'\/>                <label for='ays-answer-1407-24' class='  ays_position_initial '>7\/39<\/label><label for='ays-answer-1407-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-384]' id='ays-answer-1409-24' value='1409'\/>                <label for='ays-answer-1409-24' class='  ays_position_initial '>9\/32<\/label><label for='ays-answer-1409-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div><\/div>                                                        <div class='ays_buttons_div'>                                                <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_previous action-button ays_display_none' value='Prev' \/>                                                <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>                    <\/div>                            <div class='wrong_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">The first half of the problem:<\/p><p style=\"text-align: left;\">[(1\/3)(1\/4)]<\/p><p style=\"text-align: left;\">When you multiply fractions, you multiply the two numerators (the numbers on the top of the fractions) and you multiply the two denominators (the numbers on the bottom of the fractions).<\/p><p style=\"text-align: left;\">So,<\/p><p style=\"text-align: left;\">1\/3 times 1\/4 =<\/p><p style=\"text-align: left;\">1x1 \/ 3x4 =<\/p><p style=\"text-align: left;\">1\/12<\/p><p style=\"text-align: left;\">And the second half of the problem:<\/p><p style=\"text-align: left;\">[(1\/6)\/(8\/3)]<\/p><p style=\"text-align: left;\">Now, when you DIVIDE BY a fraction, you can flip the fraction you are dividing by (in this case, the fraction you are dividing by is 8\/3) and multiply it to the first fraction.<\/p><p style=\"text-align: left;\">So,<\/p><p style=\"text-align: left;\">(1\/6) divided by (8\/3) is the same thing as<\/p><p style=\"text-align: left;\">(1\/6) times (3\/8)<\/p><p style=\"text-align: left;\">And what is (1\/6) x (3\/8)? it's going to be:<\/p><p style=\"text-align: left;\">(1 times 3) divided by (6 times 8).<\/p><p style=\"text-align: left;\">which equals:<\/p><p style=\"text-align: left;\">3\/48<\/p><p style=\"text-align: left;\">Alright, so now you need to add (1\/12) + (3\/48). To do this, we need to find a common denominator. In other words, a common denominator is a number that is a multiple of all the denominators of a set of fractions. We're trying to get all the denominators to be the same number before we add.<\/p><p style=\"text-align: left;\">The lowest common denominator of 12 and 48 is 48, since 12 times 4 = 48. So we can leave the 3\/48 alone, but we need to change the 1\/12.<\/p><p style=\"text-align: left;\">When we change fractions, all we can do is multiply both the numerator and denominator by the same number. So our new fraction will reduce to the same fraction as before, the same way 6\/3 = 2\/1. If you multiply 2 by 3 and multiply 1 by 3, you get 6 and 3.<\/p><p style=\"text-align: left;\">So, since 12 times 4 = 48, we can multiply both the numerator and denominator of 1\/12 by 4.<\/p><p style=\"text-align: left;\">So, 1\/12 = (1 x 4) \/ (12 x 4) = 4\/48<\/p><p style=\"text-align: left;\">Does 4\/48 still equal 1\/12? Yes.<\/p><p style=\"text-align: left;\">Now we can finally add the two numbers.<\/p><p style=\"text-align: left;\">4\/48 + 3\/48 =<\/p><p style=\"text-align: left;\">7\/48<\/p><p style=\"text-align: left;\">And 7\/48 is your final answer.<\/p>                            <\/div>                            <div class='right_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">The first half of the problem:<\/p><p style=\"text-align: left;\">[(1\/3)(1\/4)]<\/p><p style=\"text-align: left;\">When you multiply fractions, you multiply the two numerators (the numbers on the top of the fractions) and you multiply the two denominators (the numbers on the bottom of the fractions).<\/p><p style=\"text-align: left;\">So,<\/p><p style=\"text-align: left;\">1\/3 times 1\/4 =<\/p><p style=\"text-align: left;\">1x1 \/ 3x4 =<\/p><p style=\"text-align: left;\">1\/12<\/p><p style=\"text-align: left;\">And the second half of the problem:<\/p><p style=\"text-align: left;\">[(1\/6)\/(8\/3)]<\/p><p style=\"text-align: left;\">Now, when you DIVIDE BY a fraction, you can flip the fraction you are dividing by (in this case, the fraction you are dividing by is 8\/3) and multiply it to the first fraction.<\/p><p style=\"text-align: left;\">So,<\/p><p style=\"text-align: left;\">(1\/6) divided by (8\/3) is the same thing as<\/p><p style=\"text-align: left;\">(1\/6) times (3\/8)<\/p><p style=\"text-align: left;\">And what is (1\/6) x (3\/8)? it's going to be:<\/p><p style=\"text-align: left;\">(1 times 3) divided by (6 times 8).<\/p><p style=\"text-align: left;\">which equals:<\/p><p style=\"text-align: left;\">3\/48<\/p><p style=\"text-align: left;\">Alright, so now you need to add (1\/12) + (3\/48). To do this, we need to find a common denominator. In other words, a common denominator is a number that is a multiple of all the denominators of a set of fractions. We're trying to get all the denominators to be the same number before we add.<\/p><p style=\"text-align: left;\">The lowest common denominator of 12 and 48 is 48, since 12 times 4 = 48. So we can leave the 3\/48 alone, but we need to change the 1\/12.<\/p><p style=\"text-align: left;\">When we change fractions, all we can do is multiply both the numerator and denominator by the same number. So our new fraction will reduce to the same fraction as before, the same way 6\/3 = 2\/1. If you multiply 2 by 3 and multiply 1 by 3, you get 6 and 3.<\/p><p style=\"text-align: left;\">So, since 12 times 4 = 48, we can multiply both the numerator and denominator of 1\/12 by 4.<\/p><p style=\"text-align: left;\">So, 1\/12 = (1 x 4) \/ (12 x 4) = 4\/48<\/p><p style=\"text-align: left;\">Does 4\/48 still equal 1\/12? Yes.<\/p><p style=\"text-align: left;\">Now we can finally add the two numbers.<\/p><p style=\"text-align: left;\">4\/48 + 3\/48 =<\/p><p style=\"text-align: left;\">7\/48<\/p><p style=\"text-align: left;\">And 7\/48 is your final answer.<\/p>                            <\/div>                            <div class='ays_questtion_explanation' style='display:none'>                                                            <\/div>                                                    <\/div>                    <\/div><div class='step  ' data-question-id='371'>                                                <p class='ays-question-counter animated'>13 \/ 16<\/p>                        <div class='ays-abs-fs'>                                                        <div class='ays_quiz_question'>                                <p style=\"text-align: left;\">A parent died and left an estate to four children. One inherited 1\/9 of the estate, the second inherited 11\/81, and the third inherited 16\/27. How much did the fourth inherit?<\/p>                            <\/div>                                                        <div class='ays-quiz-answers ays_list_view_container'>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-371]' id='ays-answer-1354-24' value='1354'\/>                <label for='ays-answer-1354-24' class='  ays_position_initial '>9\/21<\/label><label for='ays-answer-1354-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-371]' id='ays-answer-1356-24' value='1356'\/>                <label for='ays-answer-1356-24' class='  ays_position_initial '>13\/98<\/label><label for='ays-answer-1356-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-371]' id='ays-answer-1357-24' value='1357'\/>                <label for='ays-answer-1357-24' class='  ays_position_initial '>9\/30<\/label><label for='ays-answer-1357-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='1'\/>                <input type='radio' name='ays_questions[ays-question-371]' id='ays-answer-1355-24' value='1355'\/>                <label for='ays-answer-1355-24' class='  ays_position_initial '>13\/81<\/label><label for='ays-answer-1355-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div><\/div>                                                        <div class='ays_buttons_div'>                                                <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_previous action-button ays_display_none' value='Prev' \/>                                                <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>                    <\/div>                            <div class='wrong_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">First you need to get common denominators<\/p><p style=\"text-align: left;\">1\/9 + 11\/81 + 16\/27 + x\/? = ?\/? or 100 %<\/p><p style=\"text-align: left;\">9\/81 + 11\/81 + 48\/81 + x\/81 = 81\/81<\/p><p style=\"text-align: left;\">68\/81 + x\/81 = 81\/81<\/p><p style=\"text-align: left;\">x\/81 = 81\/81 - 68\/81<\/p><p style=\"text-align: left;\">x\/81 = 13\/81<\/p><p style=\"text-align: left;\">13\/81 is the inheritance of the 4th child.<\/p>                            <\/div>                            <div class='right_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">First you need to get common denominators<\/p><p style=\"text-align: left;\">1\/9 + 11\/81 + 16\/27 + x\/? = ?\/? or 100 %<\/p><p style=\"text-align: left;\">9\/81 + 11\/81 + 48\/81 + x\/81 = 81\/81<\/p><p style=\"text-align: left;\">68\/81 + x\/81 = 81\/81<\/p><p style=\"text-align: left;\">x\/81 = 81\/81 - 68\/81<\/p><p style=\"text-align: left;\">x\/81 = 13\/81<\/p><p style=\"text-align: left;\">13\/81 is the inheritance of the 4th child.<\/p>                            <\/div>                            <div class='ays_questtion_explanation' style='display:none'>                                                            <\/div>                                                    <\/div>                    <\/div><div class='step  ' data-question-id='363'>                                                <p class='ays-question-counter animated'>14 \/ 16<\/p>                        <div class='ays-abs-fs'>                                                        <div class='ays_quiz_question'>                                <p style=\"text-align: left;\">If RS=8y+4, ST=4y+8, and RT= 15y-9 , find the value of y.<\/p>                            <\/div>                                                        <div class='ays-quiz-answers ays_list_view_container'>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='1'\/>                <input type='radio' name='ays_questions[ays-question-363]' id='ays-answer-1322-24' value='1322'\/>                <label for='ays-answer-1322-24' class='  ays_position_initial '>7<\/label><label for='ays-answer-1322-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-363]' id='ays-answer-1325-24' value='1325'\/>                <label for='ays-answer-1325-24' class='  ays_position_initial '>5<\/label><label for='ays-answer-1325-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-363]' id='ays-answer-1323-24' value='1323'\/>                <label for='ays-answer-1323-24' class='  ays_position_initial '>14<\/label><label for='ays-answer-1323-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-363]' id='ays-answer-1324-24' value='1324'\/>                <label for='ays-answer-1324-24' class='  ays_position_initial '>21<\/label><label for='ays-answer-1324-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div><\/div>                                                        <div class='ays_buttons_div'>                                                <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_previous action-button ays_display_none' value='Prev' \/>                                                <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>                    <\/div>                            <div class='wrong_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">Using the segment addition postulate, RS+ST=RT you can add the first two equations together and set them equal to the third. then just solve for y.<\/p><p style=\"text-align: left;\">8y+4<\/p><p style=\"text-align: left;\">4y+8<\/p><p style=\"text-align: left;\">12y+12=15y-9<\/p><p style=\"text-align: left;\">12=3y-9<\/p><p style=\"text-align: left;\">21=3y<\/p><p style=\"text-align: left;\">7=y<\/p>                            <\/div>                            <div class='right_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">Using the segment addition postulate, RS+ST=RT you can add the first two equations together and set them equal to the third. then just solve for y.<\/p><p style=\"text-align: left;\">8y+4<\/p><p style=\"text-align: left;\">4y+8<\/p><p style=\"text-align: left;\">12y+12=15y-9<\/p><p style=\"text-align: left;\">12=3y-9<\/p><p style=\"text-align: left;\">21=3y<\/p><p style=\"text-align: left;\">7=y<\/p>                            <\/div>                            <div class='ays_questtion_explanation' style='display:none'>                                                            <\/div>                                                    <\/div>                    <\/div><div class='step  ' data-question-id='388'>                                                <p class='ays-question-counter animated'>15 \/ 16<\/p>                        <div class='ays-abs-fs'>                                                        <div class='ays_quiz_question'>                                <p style=\"text-align: left;\">Dan worked for 8 1\/2 hours at $8.20 an hour. How much did he earn?<\/p>                            <\/div>                                                        <div class='ays-quiz-answers ays_list_view_container'>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-388]' id='ays-answer-1423-24' value='1423'\/>                <label for='ays-answer-1423-24' class='  ays_position_initial '>$80<\/label><label for='ays-answer-1423-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-388]' id='ays-answer-1424-24' value='1424'\/>                <label for='ays-answer-1424-24' class='  ays_position_initial '>$61.58<\/label><label for='ays-answer-1424-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-388]' id='ays-answer-1425-24' value='1425'\/>                <label for='ays-answer-1425-24' class='  ays_position_initial '>$52.75<\/label><label for='ays-answer-1425-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='1'\/>                <input type='radio' name='ays_questions[ays-question-388]' id='ays-answer-1422-24' value='1422'\/>                <label for='ays-answer-1422-24' class='  ays_position_initial '>$69.70<\/label><label for='ays-answer-1422-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div><\/div>                                                        <div class='ays_buttons_div'>                                                <i class=\"ays_fa ays_fa_arrow_left ays_previous action-button ays_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_previous action-button ays_display_none' value='Prev' \/>                                                <i class=\"ays_fa ays_fa_arrow_right ays_next action-button ays_arrow ays_next_arrow ays_display_none\"><\/i>                        <input type='button' name='next' class='ays_next action-button ' value='Next' \/>                    <\/div>                            <div class='wrong_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">You're multiplying 8.20 times 8 1\/2.<\/p><p style=\"text-align: left;\">Since you're going to end up with a money answer, change the fraction 8 1\/2 to 8.5. Set up the problem with 8.2 on top and 8.5 on the bottom. Work it as a 2-digit multiplication problem, but when you get to your answer, don't forget where to put the decimal. Count 2 decimal digits in the problem (2, 0 and 5) and count over 2 places from the right.<\/p><p style=\"text-align: left;\">$69.70.<\/p>                            <\/div>                            <div class='right_answer_text ' style='display:none'>                                <p style=\"text-align: left;\">You're multiplying 8.20 times 8 1\/2.<\/p><p style=\"text-align: left;\">Since you're going to end up with a money answer, change the fraction 8 1\/2 to 8.5. Set up the problem with 8.2 on top and 8.5 on the bottom. Work it as a 2-digit multiplication problem, but when you get to your answer, don't forget where to put the decimal. Count 2 decimal digits in the problem (2, 0 and 5) and count over 2 places from the right.<\/p><p style=\"text-align: left;\">$69.70.<\/p>                            <\/div>                            <div class='ays_questtion_explanation' style='display:none'>                                                            <\/div>                                                    <\/div>                    <\/div><div class='step  ' data-question-id='328'>                                                <p class='ays-question-counter animated'>16 \/ 16<\/p>                        <div class='ays-abs-fs'>                                                        <div class='ays_quiz_question'>                                <p style=\"text-align: left;\">You deposit $300 in an account earning 5% interest compounded annually.\u00a0 How much will you have in the account in 10 years?<\/p>                            <\/div>                                                        <div class='ays-quiz-answers ays_list_view_container'>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-328]' id='ays-answer-1182-24' value='1182'\/>                <label for='ays-answer-1182-24' class='  ays_position_initial '>418.67<\/label><label for='ays-answer-1182-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field ays_list_view_item'>                <input type='hidden' name='ays_answer_correct[]' value='0'\/>                <input type='radio' name='ays_questions[ays-question-328]' id='ays-answer-1185-24' value='1185'\/>                <label for='ays-answer-1185-24' class='  ays_position_initial '>388.25<\/label><label for='ays-answer-1185-24' class='ays_answer_image ays_empty_before_content'><\/label>                <\/div>            <div class='ays-field 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