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Sedbober [7]
3 years ago
10

Match each equivalent expression with the property that it represents.

Mathematics
1 answer:
OlgaM077 [116]3 years ago
6 0

Answer:

Associative Property of Multiplication

[ 3(5) (4) = (3) 5(4)]

Identity Property of Multiplication

5(1) = 5

Identity Property of Addition

(3 + 5) + 0 = (3+5)

Commutative Property of Addition

3 + 5 = 5 + 3

Associative Property of Addition

3 + (5 + 7) = (3 + 5) + 7  

​

Step-by-step explanation:

The associative property states that you can re-group numbers and you will get the same answer and the commutative property states that you can move numbers around and still arrive at the same answer.

The identity property of 1 says that any number multiplied by 1 keeps its identity.

Hoped this helped!

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Ignore the writing but someone help please
vazorg [7]

Part (a)

The picture alone, without the frame, is 16 by 20

When accounting for the frame, the larger rectangle is 16+2x by 20+2x

We add up all four sides to get the perimeter

(16+2x)+(20+2x)+(16+2x)+(20+2x)

8x+72

or you can use this perimeter of a rectangle formula

P = 2(L+W)

P = 2(20+2x+16+2x)

P = 2(4x+36)

P = 8x+72

Answer: 8x+72

=========================================

Part (b)

Multiply the length and width to find the area of the rectangle.

area = length*width

A = L*W

A = (20+2x)*(16+2x)

A = 20(16+2x) + 2x(16+2x)

A = 320+40x + 32x + 4x^2

A = 4x^2 + 72x + 320

Answer: 4x^2 + 72x + 320

=========================================

Part (c)

Plug x = 2 into the perimeter equation found in part (a)

P = 8x+72

P = 8*2+72

P = 16+72

P = 88

Now plug x = 2 into the area equation found in part (b)

A = 4x^2 + 72x + 320

A = 4(2)^2 + 72(2) + 320

A = 4(4) + 72(2) + 320

A = 16 + 144 + 320

A = 160+320

A = 480

-------------

Answers:

Perimeter = 88 inches

Area = 480 square inches

3 0
3 years ago
Please help with theses two questions.
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4 years ago
The heights of 20-year-old females are normally distributed with a mean of 64 inches 
Oduvanchick [21]

Answer:

1.5

Step-by-step explanation:

Applying,

Z = (x-μ)/σ................. Equation 1

Where Z = Z score for a height of 67 inches, x = height, μ = mean of the height, σ = standard deviation of the height.

From the question,

Given: x = 67 inches, μ = 64 inches, σ = 2 inches.

Substitute these values into equation 1

Z = (67-64)/2

Z = 3/2

Z = 1.5

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3 years ago
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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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