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SCORPION-xisa [38]
3 years ago
6

The diagram shows the dimensions of a storage container. Rectangular prism with height as 8 feet and area of base as 108 sqaure

feet.
Which expression can be used to find the volume of the container?


A. 108 × 8

B. 108 ÷ 8

C. 108 × 8 × 8

D. (108 × 2) + (8 × 2)

Mathematics
1 answer:
Alexxx [7]3 years ago
4 0

Answer:

A

Step-by-step explanation:

Volume of rectangular prism = Area of base * height

                                                = 108 * 8

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|12x + 1| = 10

Remove the absolute value term and make two equations:

12x +1 = 10

12x +1 = -10

Now solve for both x values:

12x +1 = 10

Subtract 1 from both sides:

12x = 9

Divide both sides by 12:

x = 9/12

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Subtract 1 from both sides:

12x = -11

Divide both sides by 12:

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The answer would be (-11/12, 912)

8 0
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​Joe's annual income has been increasing each year by the same dollar amount. The first year his income was ​$17 comma 90017,900
Vedmedyk [2.9K]

Answer:

In 17th year, his income was $30,700.

Step-by-step explanation:

It is given that the income has been increasing each year by the same dollar amount. It means it is linear function.

Income in first year = $17,900

Income in 4th year = $20,300

Let y be the income at x year.

It means the line passes through the point (1,17900) and (4,20300).

If a line passes through two points (x_1,y_1) and (x_2,y_2), then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The equation of line is

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y-17900=\frac{2400}{3}(x-1)

y-17900=800(x-1)

y-17900=800x-800

Add 17900 on both sides.

y=800x-800+17900

y=800x+17100

The income equation is y=800x+17100.

Substitute y=30,700 in the above equation.

30700=800x+17100

Subtract 17100 from both sides.

30700-17100=800x

13600=800x

Divide both sides by 800.

\frac{13600}{800}=x

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Therefore, in 17th year his income was $30,700.

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Answer: 6 wagons will be needed

Step-by-step explanation:

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