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masya89 [10]
2 years ago
15

Alice Correa bought three yards of cloth to make a dress. The cloth was on sale for $1.93 per yard. How much did Alice pay for t

he cloth if the sales tax was 5 percent?
Mathematics
2 answers:
vitfil [10]2 years ago
4 0
<span>The correct answer for this question is that Alice Correa will have spent $6.07 on the cloth overall. This can be worked out through first considering what 5% of the original price will be, so $5.79 / 100 = 0.0579 x 5 = $0.28, so $5.79 + $0.28 = $6.07</span>
Helen [10]2 years ago
4 0

The answer is $6.07.

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How do I solve for x
Alchen [17]
Greetings!

To find the length of any side of a right triangle, you can use the Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
a^2+b^2=c^2

Input the information from the diagram into the formula: 
(x)^2+(x+7)^2=(13)^2

Expand each term:
(x)^2+(x+7)^2=(13)^2

x^2+((x+7)(x+7))=169

x^2+(x(x+7)+7(x+7))=169

x^2+x^2+7x+7x+49=169

Combine like terms:
2x^2+14x+49=169

Add -169 to both sides:
(2x^2+14x+49)+(-169)=(169)+(-169)

2x^2+14x-120=0

Factor out the Common Term (2):
2(x^2+7x-60)=0

Factor the Complex Trinomial:
2(x^2-5x+12x-60)=0

2(x(x-5)+12(x-5))=0

2(x-5)(x+12)=0

Set Factors to equal 0:
x-5=0

x=5

or

x+12=0

x=-12

However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)

The Solution Is: 
\boxed{x=5}

I hope this helped!
-Benjamin

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