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 given her total gross pay after 7 workdays as:<\/p>\n\n\n\n Total gross pay: 35h + 56 dollars<\/strong><\/p>\n\n\n\n Since Harriet earns the same amount each day<\/strong>, we can find her daily pay by dividing the total pay by 7<\/strong>: Daily pay=35h+567\\text{Daily pay} = \\frac{35h + 56}{7}<\/p>\n\n\n\n Now, divide each term in the numerator by 7: 35h7+567=5h+8\\frac{35h}{7} + \\frac{56}{7} = 5h + 8<\/p>\n\n\n\n This problem involves algebraic expressions and the concept of evenly distributing a total amount over a number of units\u2014in this case, the total earnings over 7 workdays. The total amount Harriet earned over 7 days is given as 35h + 56<\/strong> dollars. This expression tells us that her pay includes a variable component (likely based on hours worked, represented by h<\/strong>) and a fixed component of 56 dollars.<\/p>\n\n\n\n Since Harriet earns the same amount every day, we can assume that her daily pay multiplied by 7 gives the total expression<\/strong>. To find the amount she earns in one day, we simply need to divide the total expression by 7<\/strong>, just as you would divide a total number evenly among a group.<\/p>\n\n\n\n We apply the distributive property of division over addition: 35h+567=35h7+567\\frac{35h + 56}{7} = \\frac{35h}{7} + \\frac{56}{7}<\/p>\n\n\n\n Next, we simplify each term:<\/p>\n\n\n\n So the simplified expression becomes 5h + 8<\/strong>, which means each day Harriet earns 5h dollars based on hours worked<\/strong>, plus an additional $8<\/strong>\u2014possibly representing a fixed daily allowance or bonus.<\/p>\n\n\n\n This method helps break down complex expressions into understandable parts and shows how algebra helps solve real-world problems like pay and time.<\/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 given her total gross pay after 7 workdays as: Total gross […]<\/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-207702","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/207702","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=207702"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/207702\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=207702"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=207702"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=207702"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\u2705 Correct answer: 5h + 8<\/strong><\/h3>\n\n\n\n
\n\n\n\n\ud83e\udde0 Explanation (300 words):<\/h3>\n\n\n\n
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