If a quantity increases by 25% and then decreases by 25%, will that result be the original quantity? Explain.

1 answer:

alexandr1967 [171]3 years ago

3 0

If a quantity increases by 25% and then decreases by 25%, will that result be the original quantity? Explain.
Let’s try to be able to know the answer:
=> Let’s have 10 as the value
Increase by 25%
=> 10 + 25%
=> 10 * .25 = 2.5
=> 10 + 2.5 = 12.5 the new value
Now, decrease this by 25%
=> 12.5 – 25%
=> 12.5 * .25 = 3.125
=> 12.5 – 3.125 = 9.375 or 9.4
Thus, the given statement is false.

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Carrie wished to build a rectangular dog run along theside of her garage. The garage will serve as one side of the fence. If she

Nat2105 [25]

Given:

Carrie has 180 ft of the fencing and wishes the fence to be 4times as long as it is wide.

To Find:

The area in square feet that the fencing encloses.

Answer:

The fence encloses 3600 sq ft.

Step-by-step explanation:

Let x denote the length of the dog run and y denote the width of the dog run.

Given that the garage wall serves as one side of the dog run, we are left with 3 other sides to instal the fence.

Carrie has 180ft of fencing with her, so the sum of the lengths of the 3 sides has to be equal to 180. We can represent this in the form of an equation as

$x+y+y=180\\\\x+2y=180\\\\x=180-2y$

We are also given that Carrie wishes the fence to be 4 times as long as it is wide.

So,

$x=4y$

Replacing this value into the first equation, we have

$4y=180-2y\\\\
6y=180\\\\
y=30$

Therefore,

$x=(4)(30)=120$

Thus, the length of the dog run is 120ft and the width is 30ft.

The area enclosed will be equal to the length multiplied with the width. So,

$(120)(30)=3600$

The fence encloses 3600 sq ft.

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3 years ago

3x + 2(4x - 4) = 3 What’s the answer?

Darya [45]

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