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 answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n To find Harriet\u2019s daily gross pay, we are told that over 7 workdays<\/strong> she earns a total of 35h + 56 dollars<\/strong>. Since she earns the same amount each day<\/strong>, we can simply divide the total gross pay by 7 to find her daily pay.<\/p>\n\n\n\n Total gross pay for 7 days: To find her daily<\/strong> pay, divide this expression by 7: Now divide each term separately: [ In this problem, we\u2019re working with an algebraic expression that represents a total amount of money Harriet earns over 7 days. We are told she earns the same amount each day<\/strong>, and the total amount she earns is given as 35h + 56 dollars<\/strong>. This expression likely includes a variable (h) that could represent something like hourly wage or hours worked per day, but we don\u2019t need to know exactly what h means to solve the problem\u2014we just need to divide the total evenly over 7 days.<\/p>\n\n\n\n When dividing an algebraic expression like 35h + 56<\/strong> by a constant (in this case, 7), we can divide each part (or term) of the expression separately. This follows the distributive property of division over addition<\/strong>, which states: So: We simplify:<\/p>\n\n\n\n Putting it all together, the expression for Harriet\u2019s daily gross pay is 5h + 8<\/strong>.<\/p>\n\n\n\n This new expression means that every day<\/strong>, Harriet earns an amount made up of 5 times h plus 8 dollars<\/strong>. This helps break down her total weekly pay into a consistent daily amount.<\/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 answer and explanation is : To find Harriet\u2019s daily gross pay, we are told that over 7 workdays she earns a total of 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-207564","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/207564","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=207564"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/207564\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=207564"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=207564"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=207564"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\nStep-by-Step Solution:<\/strong><\/h3>\n\n\n\n
[
35h + 56
]<\/p>\n\n\n\n
[
\\frac{35h + 56}{7}
]<\/p>\n\n\n\n
[
\\frac{35h}{7} + \\frac{56}{7} = 5h + 8
]<\/p>\n\n\n\n
\n\n\n\n\u2705 Correct Answer:<\/strong><\/h3>\n\n\n\n
\\boxed{5h + 8}
]<\/p>\n\n\n\n
\n\n\n\n\ud83d\udcd8 Explanation (Approx. 300 words):<\/strong><\/h3>\n\n\n\n
[
\\frac{a + b}{c} = \\frac{a}{c} + \\frac{b}{c}
]<\/p>\n\n\n\n
[
\\frac{35h + 56}{7} = \\frac{35h}{7} + \\frac{56}{7}
]<\/p>\n\n\n\n\n