{"id":212841,"date":"2025-05-08T13:34:03","date_gmt":"2025-05-08T13:34:03","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=212841"},"modified":"2025-05-08T13:34:04","modified_gmt":"2025-05-08T13:34:04","slug":"harriet-earns-the-same-amount-of-money-each-day-13","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/08\/harriet-earns-the-same-amount-of-money-each-day-13\/","title":{"rendered":"Harriet earns the same amount of money each day."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">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<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To find Harriet\u2019s <strong>gross pay each day<\/strong>, we need to divide her total gross pay over 7 days by 7. Her total gross pay is given as: 35h+5635h + 56<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, we divide this total by 7: 35h+567\\frac{35h + 56}{7}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now, we simplify this expression by dividing each term in the numerator by 7: 35h7+567=5h+8\\frac{35h}{7} + \\frac{56}{7} = 5h + 8<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 <strong>Correct answer: 5h+8\\boxed{5h + 8}<\/strong><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83e\udde0 Explanation (300+ words):<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">This is a problem involving <strong>algebraic expressions and division of a polynomial by a constant<\/strong>. Harriet earns the <strong>same amount each day<\/strong>, which means her daily pay is consistent. If we are given her total gross pay over a number of days, we can find the amount she earns each day by dividing that total by the number of days she worked.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In this case, her total pay over 7 days is given as 35h+5635h + 56. This expression includes a variable term (35h), which could represent hours worked or a rate based on hours, and a constant term (56), which could be a fixed bonus or base amount.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To determine how much she earns <strong>each day<\/strong>, we divide this total by 7: 35h+567\\frac{35h + 56}{7}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This is known as <strong>distributive division<\/strong> in algebra. We apply the division separately to each term:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Divide 35h35h by 7: 35h7=5h\\frac{35h}{7} = 5h<\/li>\n\n\n\n<li>Divide 5656 by 7: 567=8\\frac{56}{7} = 8<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Add these two results together: 5h+85h + 8<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This final expression represents her <strong>daily gross pay<\/strong>. It means Harriet earns <strong>5h dollars plus 8 dollars<\/strong> each day. The variable hh likely stands for a number of hours worked per day or a variable rate of pay. The &#8220;+8&#8221; suggests a fixed additional amount is added daily.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Understanding how to divide polynomials by constants is an essential skill in algebra, especially for real-life applications like budgeting and payroll. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>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 gross pay each day, we need to divide her total gross pay over 7 days by 7. 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