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Charra [1.4K]
3 years ago
12

Marcia is at a store with a 20% off sale. She also has a coupon for an additional 10% off the sale price. Prove or disprove the

following statement: A 20% discount on the original price of an item followed by the use of a 10% coupon, results in a total discount of 30%.
Mathematics
1 answer:
AysviL [449]3 years ago
7 0

is it multipuction then do that the rest

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Answer:

The rug should be 15 ft wide and 28 ft long.

Step-by-step explanation:

I have attached a figure that represents the situation.

The the rug is l by h, the width of the strip of floor is w.

We are told that Cynthia can only afford 420 square feet of carpeting; therefore, it must be that

l*h=420 <em>(this says the area of the rug must be 420 square feet)</em>

From the figure we see that

l= 32-2w

h=19-2w

Therefore,

l*h=420\\\\(32-2w)(19-2w)=420

We expand this equation and get:

4w^2-102w+608=420\\\\4w^2-102w+188=0

using the quadratic equation we get two solutions:

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since the second solution, namely w=23.5, is larger than one of the dimensions of the room (is greater than 19 ft) it cannot be the width of the strip; therefore, we take w=2 to be our solution.

Now we find the dimensions of the rug:

l=32-2(2)=28\\\\h=19-2(2)=15

The rug is 15 ft wide and 28 ft long.

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What is the formula for area of a circle? 100 points
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