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Darina [25.2K]
3 years ago
15

Madison bought a dress priced at $98.25. The dress was 20% off. If she purchases the dress, what would the discounted price be?

Mathematics
1 answer:
RoseWind [281]3 years ago
7 0

Answer:

C. $19.65

Step-by-step explanation:

You have to find 20% of $98.25

This is equal to,

20% * $98.25                Because of usually means multiplication

= .20 * 98.25                 Because .20 = 20%

= 19.65!

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Answer:

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Step-by-step explanation:

To solve this equation, we need the formula for perfect squares:

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or

  • (a - b)^2 = a^2 - 2ab + b^2 <em>this is the formula we will use because the signs match the one in the question</em>.

Knowing these, we can set up an equation that assumes that the answer we will end up with is a perfect square.

Work:

(v - x)^2 = v^2 -8v + x^2

  • this is the setup for being able to solve for the unknown x, now we need to solve for x.

(v - x)^2 = v^2 - 8v + x^2 (I replaced 2ab with 8v because I'm setting up this question to be a perfect square).

(v - x) (v - x) = v^2 - 8v + x^2

  • multiply the left side. Remember that your answer will not be v^2 + x^2, but v^2 - 2vx +x^2.

v^2 - 2vx + x^2 = v^2 + 8v + x^2

  • Divide like terms and isolate the variable. In this case, v^2 and x^2 are on both sides, so dive them and they will be canceled out.

2vx = 8v

  • divide by 2v and you will have your value for x.

x = 4

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(v - 4)^2 = v^2 - 8v + 16

Our final answer is 16.

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