Harriet earns the same amount of money each day. Her gross pay at the end of 7 workdays is 35h+56 dollars. Which expression represents her gross pay each day?<\/p>\n\n\n\n
The Correct and E xplanation is:<\/strong><\/p>\n\n\n\n To find Harriet\u2019s gross pay each day<\/strong>, we are given that her total gross pay for 7 workdays<\/strong> is:<\/p>\n\n\n\n $$ We want to find how much Harriet earns in one day<\/strong>, given that her total for 7 days<\/strong> is $35h + 56$. Since she earns the same amount each day, we can divide the total by 7<\/strong>.<\/p>\n\n\n\n We divide the entire expression $35h + 56$ by 7:<\/p>\n\n\n\n $$ To simplify:<\/p>\n\n\n\n $$ This is an algebraic problem involving division of a polynomial by a constant. We’re told that Harriet earns a fixed amount<\/strong> of money each day, and her total pay<\/strong> for 7 days is represented by the expression $35h + 56$<\/strong>. The goal is to find her daily earnings<\/strong>, which involves finding an expression that, when multiplied by 7, gives $35h + 56$.<\/p>\n\n\n\n To do this, we apply the distributive property<\/strong> of division over addition. This property allows us to divide each term in a sum separately. So instead of trying to simplify the entire expression at once, we break it down:<\/p>\n\n\n\n $$ Now, combine the two results:<\/p>\n\n\n\n $$ This simplified expression tells us that each day<\/strong>, Harriet earns an amount equal to 5 times some hourly rate $h$<\/strong>, plus 8 extra dollars. This could represent, for example, a base fee or bonus included daily.<\/p>\n\n\n\n Using algebra in this way helps break down complex earnings over multiple days into a simple, manageable form. This is useful for budgeting, payroll, and understanding financial patterns.<\/p>\n","protected":false},"excerpt":{"rendered":" Harriet earns the same amount of money each day. Her gross pay at the end of 7 workdays is 35h+56 dollars. Which expression represents her gross pay each day? The Correct and E xplanation is: To find Harriet\u2019s gross pay each day, we are given that her total gross pay for 7 workdays is: $$35h […]<\/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-213003","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/213003","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=213003"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/213003\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=213003"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=213003"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=213003"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
35h + 56 \\text{ dollars}
$$<\/p>\n\n\n\nStep 1: Understand What We\u2019re Solving<\/h3>\n\n\n\n
Step 2: Divide the Expression by 7<\/h3>\n\n\n\n
\\frac{35h + 56}{7}
$$<\/p>\n\n\n\n\n
\\frac{35h}{7} + \\frac{56}{7} = 5h + 8
$$<\/li>\n<\/ul>\n\n\n\n\u2705 Final Answer:<\/h3>\n\n\n\n
\\boxed{5h + 8}
$$<\/p>\n\n\n\n
\n\n\n\n\ud83d\udcd8 Explanation (300+ Words):<\/h3>\n\n\n\n
\\frac{35h + 56}{7} = \\frac{35h}{7} + \\frac{56}{7}
$$<\/p>\n\n\n\n\n
\\frac{35h}{7} = 5h
$$<\/li>\n\n\n\n
\\frac{56}{7} = 8
$$<\/li>\n<\/ul>\n\n\n\n
5h + 8
$$<\/p>\n\n\n\n