Lauren goes to a store and buys an item that costs x dollars. She has a coupon for 5% off, and then a 9% tax is added to the discounted price. Write an expression in terms of x that represents the total amount that Lauren paid at the register. Answer:

Question

Lauren goes to a store and buys an item that costs  x dollars. She has a coupon for  5% off, and then a  9% tax is added to the discounted price. Write an expression in terms of  x that represents the total amount that Lauren paid at the register. Answer:

Bytelearn · Accepted Answer

Calculate Discount Amount: Calculate the amount of discount Lauren gets with her coupon. The discount is 5% of x, so the discount amount is 0.05 * x.Find Discounted Price: Subtract the discount from the original price to find the discounted price. The discounted price is x - 0.05 * x.Simplify Discounted Price: Simplify the expression for the discounted price. The discounted price simplifies to 0.95 * x (since x - 0.05 * x = 1x - 0.05x = 0.95x).Calculate Sales Tax: Calculate the sales tax on the discounted price. The sales tax is 9% of the discounted price, so the tax amount is 0.09 * (0.95 * x).Find Total Amount Paid: Add the sales tax to the discounted price to find the total amount paid. The total amount paid is 0.95 * x + 0.09 * (0.95 * x).Simplify Total Amount Paid: Simplify the expression for the total amount paid. The total amount paid simplifies to 0.95 * x + 0.0855 * x (since 0.09 * 0.95 = 0.0855).Combine Like Terms: Combine like terms to get the final expression. The final expression for the total amount paid is (0.95 + 0.0855) * x, which simplifies to 1.0355 * x.

Lauren goes to a store and buys an item that costs $x$ dollars. She has a coupon for $5 \%$ off, and then a $9 \%$ tax is added to the discounted price. Write an expression in terms of $x$ that represents the total amount that Lauren paid at the register. $\newline$ Answer:

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Lauren goes to a store and buys an item that costs x x x dollars. She has a coupon for 5% 5 \% 5% off, and then a 9% 9 \% 9% tax is added to the discounted price. Write an expression in terms of x x x that represents the total amount that Lauren paid at the register.\newlineAnswer:

Lauren goes to a store and buys an item that costs $x$ dollars. She has a coupon for $5 \%$ off, and then a $9 \%$ tax is added to the discounted price. Write an expression in terms of $x$ that represents the total amount that Lauren paid at the register. $\newline$ Answer: