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Deondra goes to a store and buys an item that costs 
x dollars. She has a coupon for 
35% off, and then a 
5% tax is added to the discounted price. Write an expression in terms of 
x that represents the total amount that Deondra paid at the register.
Answer:

Deondra goes to a store and buys an item that costs x x dollars. She has a coupon for 35% 35 \% off, and then a 5% 5 \% tax is added to the discounted price. Write an expression in terms of x x that represents the total amount that Deondra paid at the register.\newlineAnswer:

Full solution

Q. Deondra goes to a store and buys an item that costs x x dollars. She has a coupon for 35% 35 \% off, and then a 5% 5 \% tax is added to the discounted price. Write an expression in terms of x x that represents the total amount that Deondra paid at the register.\newlineAnswer:
  1. Calculate discount amount: Calculate the discount amount.\newlineTo find the discount amount, multiply the original price by the discount percentage.\newlineDiscount amount == Original price * Discount percentage\newlineSince the discount is 35%35\%, we write this as 0.350.35 (since 35%=35100=0.3535\% = \frac{35}{100} = 0.35).\newlineDiscount amount =x0.35= x * 0.35
  2. Calculate discounted price: Calculate the discounted price.\newlineSubtract the discount amount from the original price to get the discounted price.\newlineDiscounted price = Original price - Discount amount\newlineDiscounted price = x(x×0.35)x - (x \times 0.35)
  3. Calculate tax amount: Calculate the tax amount on the discounted price.\newlineTo find the tax amount, multiply the discounted price by the tax percentage.\newlineTax amount = Discounted price ×\times Tax percentage\newlineSince the tax is 5%5\%, we write this as 0.050.05 (since 5%=5100=0.055\% = \frac{5}{100} = 0.05).\newlineTax amount = (x(x×0.35))×0.05(x - (x \times 0.35)) \times 0.05
  4. Calculate total amount paid: Calculate the total amount paid at the register.\newlineAdd the tax amount to the discounted price to get the total amount paid.\newlineTotal amount paid =Discounted price+Tax amount= \text{Discounted price} + \text{Tax amount}\newlineTotal amount paid =(x(x×0.35))+((x(x×0.35))×0.05)= (x - (x \times 0.35)) + ((x - (x \times 0.35)) \times 0.05)

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