{"id":280286,"date":"2025-08-04T17:28:02","date_gmt":"2025-08-04T17:28:02","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=280286"},"modified":"2025-08-04T17:28:04","modified_gmt":"2025-08-04T17:28:04","slug":"which-expression-is-equivalent-to-2-8k-8-47","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/08\/04\/which-expression-is-equivalent-to-2-8k-8-47\/","title":{"rendered":"Which expression is equivalent to 2.8k 8.47"},"content":{"rendered":"\n<p>Which expression is equivalent to 2.8k 8.47<br>0.07(4k-12) A<br>B 0.7(4k-12)<br>C 5.6k<br>D -5.6k<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Let&#8217;s solve the expression:<br>2.8k+8.47\u22120.07(4k\u221212)2.8k + 8.47 &#8211; 0.07(4k &#8211; 12)<\/p>\n\n\n\n<p>First, distribute \u22120.07-0.07 across the terms inside the parentheses:<br>0.07(4k\u221212)=0.07\u00d74k\u22120.07\u00d7120.07(4k &#8211; 12) = 0.07 \\times 4k &#8211; 0.07 \\times 12<br>=0.28k\u22120.84= 0.28k &#8211; 0.84<\/p>\n\n\n\n<p>Now, substitute this back into the original expression:<br>2.8k+8.47\u2212(0.28k\u22120.84)2.8k + 8.47 &#8211; (0.28k &#8211; 0.84)<\/p>\n\n\n\n<p>Next, remove the parentheses and simplify:<br>2.8k+8.47\u22120.28k+0.842.8k + 8.47 &#8211; 0.28k + 0.84<\/p>\n\n\n\n<p>Combine like terms:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Combine the kk-terms:<br>2.8k\u22120.28k=2.52k2.8k &#8211; 0.28k = 2.52k<\/li>\n\n\n\n<li>Combine the constant terms:<br>8.47+0.84=9.318.47 + 0.84 = 9.31<\/li>\n<\/ul>\n\n\n\n<p>So the simplified expression becomes:<br>2.52k+9.312.52k + 9.31<\/p>\n\n\n\n<p>Now, let&#8217;s compare this with the provided options:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A) 0.7(4k\u221212)0.7(4k &#8211; 12) simplifies to 0.7\u00d74k\u22120.7\u00d712=2.8k\u22128.40.7 \\times 4k &#8211; 0.7 \\times 12 = 2.8k &#8211; 8.4, which is not the same.<\/li>\n\n\n\n<li>B) 0.7(4k\u221212)0.7(4k &#8211; 12) also simplifies to 2.8k\u22128.42.8k &#8211; 8.4, which is incorrect.<\/li>\n\n\n\n<li>C) 5.6k5.6k is simply a linear term and doesn&#8217;t match our expression.<\/li>\n\n\n\n<li>D) \u22125.6k-5.6k is a negative linear term and doesn&#8217;t match either.<\/li>\n<\/ul>\n\n\n\n<p>None of the answers exactly match, but it seems that the closest match or correct simplified version would be derived by adjusting or re-checking the provided options, possibly in terms of simplifications not shown here. If this is the intended final exam question, please double-check the problem details.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which expression is equivalent to 2.8k 8.470.07(4k-12) AB 0.7(4k-12)C 5.6kD -5.6k The correct answer and explanation is: Let&#8217;s solve the expression:2.8k+8.47\u22120.07(4k\u221212)2.8k + 8.47 &#8211; 0.07(4k &#8211; 12) First, distribute \u22120.07-0.07 across the terms inside the parentheses:0.07(4k\u221212)=0.07\u00d74k\u22120.07\u00d7120.07(4k &#8211; 12) = 0.07 \\times 4k &#8211; 0.07 \\times 12=0.28k\u22120.84= 0.28k &#8211; 0.84 Now, substitute this back into the [&hellip;]<\/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-280286","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/280286","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=280286"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/280286\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=280286"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=280286"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=280286"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}