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Madeline goes to a store and buys an item that costs 
x dollars. She has a coupon for 
15% off, and then a 
4% tax is added to the discounted price. Write an expression in terms of 
x that represents the total amount that Madeline paid at the register.
Answer:

Madeline goes to a store and buys an item that costs x x dollars. She has a coupon for 15% 15 \% off, and then a 4% 4 \% tax is added to the discounted price. Write an expression in terms of x x that represents the total amount that Madeline paid at the register.\newlineAnswer:

Full solution

Q. Madeline goes to a store and buys an item that costs x x dollars. She has a coupon for 15% 15 \% off, and then a 4% 4 \% tax is added to the discounted price. Write an expression in terms of x x that represents the total amount that Madeline paid at the register.\newlineAnswer:
  1. Calculate Discount Amount: First, we need to calculate the discount amount that Madeline gets with her coupon. The discount is 15%15\% of the original price xx.\newlineDiscount Amount = Original price ×\times Discount percentage\newline= x×15100x \times \frac{15}{100}\newline= x×0.15x \times 0.15
  2. Find Discounted Price: Next, we subtract the discount amount from the original price to find the discounted price Madeline has to pay before tax.\newlineDiscounted price = Original price - Discount Amount\newline= x(x×0.15)x - (x \times 0.15)\newline= x0.15xx - 0.15x\newline= 0.85x0.85x
  3. Calculate Tax Amount: Now, we need to calculate the tax amount that will be added to the discounted price. The tax is 4%4\% of the discounted price.\newlineTax Amount = Discounted price ×\times Tax percentage\newline= 0.85x×41000.85x \times \frac{4}{100}\newline= 0.85x×0.040.85x \times 0.04\newline= 0.034x0.034x
  4. Calculate Total Cost: Finally, we add the tax amount to the discounted price to find the total amount Madeline paid at the register.\newlineTotal cost = Discounted price + Tax Amount\newline= 0.85x+0.034x0.85x + 0.034x\newline= 0.884x0.884x

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