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Agata [3.3K]
3 years ago
5

A designer enlarged both the length and the width of a rectangular carpet by 60 percent. The new carpet was too large so the des

igner was asked to reduce its length and its width by 25 percent. By what percent was the area of the final item greater than the area of the original?
(A) 20% (B) 35% (C) 44% (D) 82% (E) 85%
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
5 0

x= length, y=width

Both the length and width were increased by 60% so now they are:

1.6x and 1.6y

Then they were both reduced by 25% so now they are 75%(100-25) of their previous size so they are:

0.75(1.6x) and 0.75(1.6y)

Their area would be length * width so it would be:

0.75(1.6x) * 0.75(1.6y)

Simplified this would be:

1.2x * 1.2y

Simplified more it would be :

1.44xy which is also 144% of xy which is a 44% increase of the original area (xy)


So the answer is:

44%



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Claire buys a jacket that originally cost $76, the price is marked down 25%and Claire has a coupon to further reduce the price b
Sauron [17]

Answer:

$51.30

Step-by-step explanation:

76 decrease 25% =

76 × (1 - 25%) = 76 × (1 - 0.25) = 57

57 decrease 10% =

57 × (1 - 10%) = 57 × (1 - 0.1) = 51.3

5 0
3 years ago
Simplify 8^x/4^y x 2^z
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Answer:

The answer is 8x.

Step-by-step explanation:

It is 8x.

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Is it 2^{z} or 2^{2}

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2 years ago
Find the least positive angle measurement that is coterminal with - 70°
Evgesh-ka [11]

Answer:

292

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5 0
3 years ago
Please help, need for math hw and cant figure it out
swat32

The standard form of the quadratic function f(x) = -3x^2 + 6x - 2 is f(x) = -3x^2 + 6x - 2

<h3>How to represent the quadratic function in standard form?</h3>

The quadratic function is given as

f(x) = -3x^2 + 6x - 2

The standard form of a quadratic function is represented as:

f(x) = ax^2 + bx + c

When both equations are compared, we can see that the function f(x) = -3x^2 + 6x - 2 is already in standard form

Where

a = -3

b = 6

c = -2

Hence, the standard form of the quadratic function f(x) = -3x^2 + 6x - 2 is f(x) = -3x^2 + 6x - 2

Read more about quadratic function at

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7 0
1 year ago
Could you please answer this question?
Juli2301 [7.4K]

Answer:

.

Step-by-step explanation:

3x - y = 17 .......A

10 × [x/5 + y/2] = 10 × 0

2x + 5y = 0 .......B

......A× 5 both 2 sides of equation

15x - 5y = 85 .....C

......B + ........C

2x + 15x = 0 + 85

17x = 85

x = 85/17

x = 5

put x value in ........A or .......B or ......C

you will receive y = -2

5 0
3 years ago
Read 2 more answers
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