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Gabriella goes to a store and buys an item that costs x dollars. She has a coupon for 35% off, and then a 8% tax is added to the discounted price. Write an expression in terms of x that represents the total amount that Gabriella paid at the register.

User StickyCube
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2 Answers

4 votes

Answer: 0.702x

Explanation:

Discounted price = x - (0.35 * x)

Now, let's calculate the 8% tax on this discounted price:

Tax = 0.08 * (x - 0.35x)

Finally, let's add the tax to the discounted price to find the total amount Gabriella paid at the register:

Total = (x - 0.35x) + 0.08(x - 0.35x)

Simplifying the expression:Total = x(1 - 0.35) + 0.08(x - 0.35x)

Total = 0.65x + 0.08x - 0.028

xTotal = 0.702x

User Jaroslav
by
8.0k points
5 votes

Answer:

0.702x

Explanation:

Let's first find the discounted price Gabriella received with the 35% off coupon:

Discounted price = x - (0.35 * x)

Now, let's calculate the 8% tax on this discounted price:

Tax = 0.08 * (x - 0.35x)

Finally, let's add the tax to the discounted price to find the total amount Gabriella paid at the register:

Total = (x - 0.35x) + 0.08(x - 0.35x)

Simplifying the expression:

Total = x(1 - 0.35) + 0.08(x - 0.35x)

Total = 0.65x + 0.08x - 0.028x

Total = 0.702x

Therefore, the expression that represents the total amount Gabriella paid at the register is 0.702x.

User Shiladitya
by
8.3k points

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