\n\n\n\n
Given:<\/strong><\/h3>\n\n\n\n\n- Alexia spends 3 minutes per math problem<\/strong> \u2192 Let xx be the number of math problems.<\/li>\n\n\n\n
- She spends 4 minutes per science problem<\/strong> \u2192 Let yy be the number of science problems.<\/li>\n\n\n\n
- Her total time is more than 60 minutes<\/strong> \u2192 This gives us the inequality: 3x+4y>603x + 4y > 60<\/li>\n<\/ul>\n\n\n\n
\n\n\n\nWe are given 4 options to test:<\/strong><\/h3>\n\n\n\n\n- 8 math, 9 science \u2192 3(8)+4(9)=24+36=603(8) + 4(9) = 24 + 36 = 60 \u2192 Not greater than 60<\/strong>
\u274c Doesn’t satisfy the inequality.<\/li>\n\n\n\n- 4 math, 6 science \u2192 3(4)+4(6)=12+24=363(4) + 4(6) = 12 + 24 = 36<\/strong>
\u274c Less than 60. Doesn’t satisfy the inequality.<\/li>\n\n\n\n- 20 math, 10 science \u2192 3(20)+4(10)=60+40=1003(20) + 4(10) = 60 + 40 = 100<\/strong>
\u2705 Greater than 60. Satisfies the inequality<\/strong>.<\/li>\n\n\n\n- 0 math, 15 science \u2192 3(0)+4(15)=0+60=603(0) + 4(15) = 0 + 60 = 60<\/strong>
\u274c Exactly 60. Not more than<\/em> 60.<\/li>\n<\/ol>\n\n\n\n
\n\n\n\n\u2705 Correct Answer:<\/strong><\/h3>\n\n\n\nAlexia completed 20 math problems and 10 science problems.<\/strong><\/p>\n\n\n\n
\n\n\n\nExplanation<\/strong><\/h3>\n\n\n\nThis problem involves an inequality that represents the total time Alexia spent on her homework. Since she spends 3 minutes per math problem and 4 minutes per science problem, the time spent can be expressed as 3x+4y3x + 4y, where xx is the number of math problems and yy is the number of science problems.<\/p>\n\n\n\n
The condition “Her homework took her more than 60 minutes” translates to the inequality: 3x+4y>603x + 4y > 60<\/p>\n\n\n\n
This means the total minutes she spent must be greater than 60<\/strong> \u2014 not equal to or less than.<\/p>\n\n\n\nTo find which scenario could be true, we plug in the values from each of the four answer choices into the inequality.<\/p>\n\n\n\n
\n- In the first option, 8 math and 9 science give exactly 60 minutes. Since the inequality demands more than 60, this option is not valid.<\/li>\n\n\n\n
- The second option, with 4 math and 6 science, results in just 36 minutes \u2014 well below the minimum requirement.<\/li>\n\n\n\n
- The third option has Alexia completing 20 math and 10 science problems. This totals 100 minutes, which is well above 60<\/strong>, making this the only choice that satisfies the condition.<\/li>\n\n\n\n
- The fourth option again totals exactly 60 minutes, which is not<\/strong> greater than 60.<\/li>\n<\/ol>\n\n\n\n
Therefore, the only possible and valid scenario<\/strong> is:<\/p>\n\n\n\n\nAlexia completed 20 math problems and 10 science problems.<\/strong><\/p>\n\n\n\n![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner4-92.jpeg\")
<\/figure>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"PLEASE HELP !!!!!!!!!! Alexia spent 3 minutes working on each of her math problems and 4 minutes on each of her science problems. Her homework took her more than 60 minutes to complete. The boundary line for the inequality 3x + 4y > 60 is shown. Which statement could be true in this situation? Alexia […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-223536","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223536","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=223536"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223536\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=223536"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=223536"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=223536"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\n
We are given 4 options to test:<\/strong><\/h3>\n\n\n\n\n- 8 math, 9 science \u2192 3(8)+4(9)=24+36=603(8) + 4(9) = 24 + 36 = 60 \u2192 Not greater than 60<\/strong>
\u274c Doesn’t satisfy the inequality.<\/li>\n\n\n\n- 4 math, 6 science \u2192 3(4)+4(6)=12+24=363(4) + 4(6) = 12 + 24 = 36<\/strong>
\u274c Less than 60. Doesn’t satisfy the inequality.<\/li>\n\n\n\n- 20 math, 10 science \u2192 3(20)+4(10)=60+40=1003(20) + 4(10) = 60 + 40 = 100<\/strong>
\u2705 Greater than 60. Satisfies the inequality<\/strong>.<\/li>\n\n\n\n- 0 math, 15 science \u2192 3(0)+4(15)=0+60=603(0) + 4(15) = 0 + 60 = 60<\/strong>
\u274c Exactly 60. Not more than<\/em> 60.<\/li>\n<\/ol>\n\n\n\n
\n\n\n\n\u2705 Correct Answer:<\/strong><\/h3>\n\n\n\nAlexia completed 20 math problems and 10 science problems.<\/strong><\/p>\n\n\n\n
\n\n\n\nExplanation<\/strong><\/h3>\n\n\n\nThis problem involves an inequality that represents the total time Alexia spent on her homework. Since she spends 3 minutes per math problem and 4 minutes per science problem, the time spent can be expressed as 3x+4y3x + 4y, where xx is the number of math problems and yy is the number of science problems.<\/p>\n\n\n\n
The condition “Her homework took her more than 60 minutes” translates to the inequality: 3x+4y>603x + 4y > 60<\/p>\n\n\n\n
This means the total minutes she spent must be greater than 60<\/strong> \u2014 not equal to or less than.<\/p>\n\n\n\nTo find which scenario could be true, we plug in the values from each of the four answer choices into the inequality.<\/p>\n\n\n\n
\n- In the first option, 8 math and 9 science give exactly 60 minutes. Since the inequality demands more than 60, this option is not valid.<\/li>\n\n\n\n
- The second option, with 4 math and 6 science, results in just 36 minutes \u2014 well below the minimum requirement.<\/li>\n\n\n\n
- The third option has Alexia completing 20 math and 10 science problems. This totals 100 minutes, which is well above 60<\/strong>, making this the only choice that satisfies the condition.<\/li>\n\n\n\n
- The fourth option again totals exactly 60 minutes, which is not<\/strong> greater than 60.<\/li>\n<\/ol>\n\n\n\n
Therefore, the only possible and valid scenario<\/strong> is:<\/p>\n\n\n\n\nAlexia completed 20 math problems and 10 science problems.<\/strong><\/p>\n\n\n\n<\/figure>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"PLEASE HELP !!!!!!!!!! Alexia spent 3 minutes working on each of her math problems and 4 minutes on each of her science problems. Her homework took her more than 60 minutes to complete. The boundary line for the inequality 3x + 4y > 60 is shown. Which statement could be true in this situation? Alexia […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-223536","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223536","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=223536"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223536\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=223536"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=223536"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=223536"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\u274c Doesn’t satisfy the inequality.<\/li>\n\n\n\n
\u274c Less than 60. Doesn’t satisfy the inequality.<\/li>\n\n\n\n
\u2705 Greater than 60. Satisfies the inequality<\/strong>.<\/li>\n\n\n\n
\u274c Exactly 60. Not more than<\/em> 60.<\/li>\n<\/ol>\n\n\n\n
\n\n\n\n
\u2705 Correct Answer:<\/strong><\/h3>\n\n\n\nAlexia completed 20 math problems and 10 science problems.<\/strong><\/p>\n\n\n\n
\n\n\n\nExplanation<\/strong><\/h3>\n\n\n\nThis problem involves an inequality that represents the total time Alexia spent on her homework. Since she spends 3 minutes per math problem and 4 minutes per science problem, the time spent can be expressed as 3x+4y3x + 4y, where xx is the number of math problems and yy is the number of science problems.<\/p>\n\n\n\n
The condition “Her homework took her more than 60 minutes” translates to the inequality: 3x+4y>603x + 4y > 60<\/p>\n\n\n\n
This means the total minutes she spent must be greater than 60<\/strong> \u2014 not equal to or less than.<\/p>\n\n\n\nTo find which scenario could be true, we plug in the values from each of the four answer choices into the inequality.<\/p>\n\n\n\n
\n- In the first option, 8 math and 9 science give exactly 60 minutes. Since the inequality demands more than 60, this option is not valid.<\/li>\n\n\n\n
- The second option, with 4 math and 6 science, results in just 36 minutes \u2014 well below the minimum requirement.<\/li>\n\n\n\n
- The third option has Alexia completing 20 math and 10 science problems. This totals 100 minutes, which is well above 60<\/strong>, making this the only choice that satisfies the condition.<\/li>\n\n\n\n
- The fourth option again totals exactly 60 minutes, which is not<\/strong> greater than 60.<\/li>\n<\/ol>\n\n\n\n
Therefore, the only possible and valid scenario<\/strong> is:<\/p>\n\n\n\n\nAlexia completed 20 math problems and 10 science problems.<\/strong><\/p>\n\n\n\n<\/figure>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"PLEASE HELP !!!!!!!!!! Alexia spent 3 minutes working on each of her math problems and 4 minutes on each of her science problems. Her homework took her more than 60 minutes to complete. The boundary line for the inequality 3x + 4y > 60 is shown. Which statement could be true in this situation? Alexia […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-223536","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223536","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=223536"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223536\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=223536"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=223536"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=223536"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\n
Explanation<\/strong><\/h3>\n\n\n\nThis problem involves an inequality that represents the total time Alexia spent on her homework. Since she spends 3 minutes per math problem and 4 minutes per science problem, the time spent can be expressed as 3x+4y3x + 4y, where xx is the number of math problems and yy is the number of science problems.<\/p>\n\n\n\n
The condition “Her homework took her more than 60 minutes” translates to the inequality: 3x+4y>603x + 4y > 60<\/p>\n\n\n\n
This means the total minutes she spent must be greater than 60<\/strong> \u2014 not equal to or less than.<\/p>\n\n\n\nTo find which scenario could be true, we plug in the values from each of the four answer choices into the inequality.<\/p>\n\n\n\n
\n- In the first option, 8 math and 9 science give exactly 60 minutes. Since the inequality demands more than 60, this option is not valid.<\/li>\n\n\n\n
- The second option, with 4 math and 6 science, results in just 36 minutes \u2014 well below the minimum requirement.<\/li>\n\n\n\n
- The third option has Alexia completing 20 math and 10 science problems. This totals 100 minutes, which is well above 60<\/strong>, making this the only choice that satisfies the condition.<\/li>\n\n\n\n
- The fourth option again totals exactly 60 minutes, which is not<\/strong> greater than 60.<\/li>\n<\/ol>\n\n\n\n
Therefore, the only possible and valid scenario<\/strong> is:<\/p>\n\n\n\n\nAlexia completed 20 math problems and 10 science problems.<\/strong><\/p>\n\n\n\n<\/figure>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"PLEASE HELP !!!!!!!!!! Alexia spent 3 minutes working on each of her math problems and 4 minutes on each of her science problems. Her homework took her more than 60 minutes to complete. The boundary line for the inequality 3x + 4y > 60 is shown. Which statement could be true in this situation? Alexia […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-223536","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223536","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=223536"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223536\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=223536"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=223536"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=223536"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
To find which scenario could be true, we plug in the values from each of the four answer choices into the inequality.<\/p>\n\n\n\n
- \n
- In the first option, 8 math and 9 science give exactly 60 minutes. Since the inequality demands more than 60, this option is not valid.<\/li>\n\n\n\n
- The second option, with 4 math and 6 science, results in just 36 minutes \u2014 well below the minimum requirement.<\/li>\n\n\n\n
- The third option has Alexia completing 20 math and 10 science problems. This totals 100 minutes, which is well above 60<\/strong>, making this the only choice that satisfies the condition.<\/li>\n\n\n\n
- The fourth option again totals exactly 60 minutes, which is not<\/strong> greater than 60.<\/li>\n<\/ol>\n\n\n\n
Therefore, the only possible and valid scenario<\/strong> is:<\/p>\n\n\n\n
\n
Alexia completed 20 math problems and 10 science problems.<\/strong><\/p>\n\n\n\n
<\/figure>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"PLEASE HELP !!!!!!!!!! Alexia spent 3 minutes working on each of her math problems and 4 minutes on each of her science problems. Her homework took her more than 60 minutes to complete. The boundary line for the inequality 3x + 4y > 60 is shown. Which statement could be true in this situation? Alexia […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-223536","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223536","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=223536"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223536\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=223536"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=223536"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=223536"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
- The fourth option again totals exactly 60 minutes, which is not<\/strong> greater than 60.<\/li>\n<\/ol>\n\n\n\n