To find the expression representing Harriet’s gross pay each day, we need to break down the problem carefully.<\/p>\n\n\n\n
Step 1: Understanding the given information<\/strong><\/p>\n\n\n\n The problem states that Harriet’s gross pay at the end of 7 workdays is represented by the expression:<\/p>\n\n\n\n [ This is her total pay for 7 workdays. The goal is to find the amount she earns each day. Since Harriet earns the same amount each day, her total pay for 7 days is the product of her daily earnings and 7. Let\u2019s define her daily earnings as d<\/strong> (in dollars).<\/p>\n\n\n\n So, her total pay for 7 workdays can be written as:<\/p>\n\n\n\n [ Step 2: Solve for d (her daily earnings)<\/strong><\/p>\n\n\n\n To find the daily earnings, we need to solve for d<\/strong>. To do this, we simply divide both sides of the equation by 7:<\/p>\n\n\n\n [ Now, we simplify the right-hand side of the equation:<\/p>\n\n\n\n [ [ So, Harriet earns 5h + 8<\/strong> dollars each day.<\/p>\n\n\n\n Step 3: Conclusion<\/strong><\/p>\n\n\n\n The expression representing Harriet’s gross pay each day is:<\/p>\n\n\n\n [ This means that for each day she works, Harriet earns an amount that is 5 times h<\/strong> plus 8 dollars.<\/p>\n\n\n\n Explanation of the solution<\/strong><\/p>\n\n\n\n The key to solving this problem was recognizing that Harriet’s total pay for 7 workdays, 35h + 56<\/strong>, is the result of multiplying her daily pay by 7. From there, we solved for her daily pay by dividing the total by 7 and simplifying the expression. The solution 5h + 8<\/strong> indicates that her daily pay depends on some factor h<\/strong>, and it is always 8 dollars more than 5 times h<\/strong>.<\/p>\n\n\n\n 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 the expression representing Harriet’s gross pay each day, we need to break down the problem carefully. 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35h + 56 \\, \\text{dollars}
]<\/p>\n\n\n\n
7d = 35h + 56
]<\/p>\n\n\n\n
d = \\frac{35h + 56}{7}
]<\/p>\n\n\n\n
d = \\frac{35h}{7} + \\frac{56}{7}
]<\/p>\n\n\n\n
d = 5h + 8
]<\/p>\n\n\n\n
5h + 8
]<\/p>\n\n\n\n![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/04\/image-226.png\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"