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soldier1979 [14.2K]
3 years ago
12

What is the volume of the following rectangular prism?

Mathematics
2 answers:
galben [10]3 years ago
5 0

Answer:

8 1/8 units³

Step-by-step explanation:

V = lwh

Since the area is already given to you, just multiply that by the other number.

V=(16\frac{1}{4})(\frac{1}{2})\\\\V=\frac{65}{8}=8\frac{1}{8}

Rainbow [258]3 years ago
4 0
Answer:

8 1/8

Step-by-step explanation:

V = 16 1/4 • 1/2

V = 8 1/8
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Answer:

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Step-by-step explanation:

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What is the constant of proportionality between y/x
Y_Kistochka [10]

Answer:

3.5

Step-by-step explanation:

To find the constant of proportionality between y/x you investigate the trend in values of x with corresponding values of y

For this case, when x =1, y=3.5

                       when x=2, y=7

                       

Taking in case 1, y/x = 3.5/1 = 3.5

In case 2, y/x= 7/2 = 3.5

But you know that the constant of proportionality k is given by;

y=kx------------------------making k subject of formula

y/x=k

Hence in this case, your constant of proportionality is 3.5

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3 years ago
What is (8 + 56) ÷ 4 + 3 2?
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Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12
Inessa05 [86]

Answer:

The solution of the equations are -6 and 1

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- We want to find the solution of the equation (x + 2) (x + 3) = 12

- <em>At first lets use the Foil method to multiply the two brackets</em>

 (x + 2) (x + 3) = (x)(x) + (x)(3) + (2)(x) + (2)(3)

 (x + 2) (x + 3) = x² + 3x + 2x + 6 ⇒ add the like term

 (x + 2) (x + 3) = x² + 5x + 6

∵ (x + 2) (x + 3) = 12

∴ x² + 5x + 6 = 12

- Subtract 12 from both sides

∴ x² + 5x - 6 = 0

- <em>Factorize the left hand side</em>

∵ x² = (x)(x)

∵ -6 = 6 × -1

∵ 6x + -1x = 5x

∴ (x + 6)(x - 1) = 0

- <em>Lets use the zero product property </em>

∵ (x + 6)(x - 1) = 0

∴ x + 6 = 0 ⇒ <em>OR</em> ⇒ x - 1 = 0

∵ x + 6 = 0

- Subtract 6 from both sides

∴ x = -6

∵ x - 1 = 0

- Add 1 to both sides

∴ x = 1

∴ The solution of the equations are -6 and 1

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