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Makovka662 [10]
3 years ago
6

Solve for x: 5x + 13 = 1/3(9x – 6) + 7x

Mathematics
1 answer:
Bezzdna [24]3 years ago
3 0

Step-by-step explanation:

5x + 13 = 1/3(9x – 6) + 7x

5x + 13 = 3x-2+7x

5x-3x= -2-13

2x= -15

x= -7.5

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barxatty [35]

Problem 1

<h3>Answer:  104 cubic inches</h3>

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

Explanation:

The prisms are similar so they have the same shape, but different sizes.

The linear scale factor from small to large is:

large/small = 10/4 = 2.5

Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism

4*2.5 = 10

This linear scale factor is then cubed to get the volume scale factor

(2.5)^3 = 15.625

Which tells us:

larger volume = 15.625*(smaller volume)

smaller volume = (larger volume)/15.625

smaller volume = (1625)/15.625

smaller volume = 104 cubic inches

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

Problem 2

<h3>Answer:  650 square inches</h3>

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

Explanation:

We will go back to the linear scale factor of 2.5

This time, we square it to get (2.5)^2 = 6.25

This is the surface area scale factor.

larger surface area = 6.25*(smaller surface area)

larger surface area = 6.25*(104)

larger surface area = 650 square inches

4 0
2 years ago
Kendra used these steps to solve the equation 2x + 5 = 3 + 2(x + 1). Which choice describes the meaning of her result, 5 = 5?
11Alexandr11 [23.1K]
Hello!

We can solve this algebraically

2x + 5 = 3 + 2(x+1)

Distribute the 2

2x + 5 = 3 + 2x + 2

combine like terms

2x + 5 = 2x + 5

Since both sides of the equation is the same all values of x make the equation true

The answer is A

Hope this helps!

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Answer:

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3 years ago
Read 2 more answers
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