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3 years ago

Three of four numbers have a sum of 22. If the average of the four numbers is 8, what is the fourth number?

1 answer:

6 0

Let $x_1,\ldots,x_4$ be the four numbers. Their average is 8, so

$\dfrac{x_1+x_2+x_3+x_4}4=8$

You know that three of the numbers have a sum of 22, so

$\dfrac{22+x_4}4=8$

Solve for $x_4$ :

$\dfrac{22+x_4}4=8\implies22+x_4=32\implies x_4=10$

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Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

step 1

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step 2

The volume of a square pyramid is equal to

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3 years ago

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2 years ago

Which pairs of variables have a linear relationship? Select

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Answer:

Side length and perimeter of 1 face

Area of 1 face and surface area

Step-by-step explanation:

Suppose you are given cube with side length of x units.

Then

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Area of 1 face $=x^2$ square units

Surface area $=6x^2$ square units

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A linear relationship is any equation that, when graphed, gives you a straight line.

Consider all options:

A. Side length and perimeter of 1 face is a linear relationship, because the graph of the function $y=kx$ is a straight line.

B. Perimeter of 1 face and area of 1 face is not a linear relationship, because the graph of this relationship is a quadratic parabola with equation $y=kx^2$ .

C. Surface area and volume is not a linear relationship, because the graph of this relationship is a curve with equation $y=kx^{\frac{3}{2}}$ .

D. Area of 1 face and surface area is a linear relationship, because the graph of the function $y=kx$ is a straight line.

E. Side length and volume is not a linear relationship, because the graph of this relationship is a cubic parabola with equation $y=kx^3$ .

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3 years ago

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