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3 years ago

Find the volume of each figure. Simplify your answers.

Mathematics

1 answer:

Lerok [7]3 years ago

6 0

Answer:

$98.28\:\mathrm{ft^3}$

Step-by-step explanation:

The volume of a rectangular prism is given by $V=l\cdot w\cdot h$ , where $l$ is the length of the prism, $w$ is the width of the prism, and $h$ is the height of the prism.

Substituting given values, we get:

$V=2.5\cdot 4.25\cdot 9.25=98.28125\approx \boxed{98.28\:\mathrm{ft^3}}$

Since "Simplify your answers" is very subjective, I've rounded to the nearest hundredth as that is reasonably universal, but you may need to adjust the rounding as desired.

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How to solve the equation 9v = 8 + v

zloy xaker [14]

Here are some things you should know when solving algebraic equations.

If you add an expression to both sides of an equation, the resulting equation will have the same solution set as the original equation. In other words, they will be equivalent. This is true for all operations. As long both sides are treated the same, the equation will stay balanced.

You will also need to know how to combine like terms. But what are like terms to begin with? Like terms are defined as two terms having the same variable(s) (or lack thereof) and are raised to the same power. In mathematics, something raised to the first power stays the same. So, 5x and 10x are like terms because they both have the same variable and are raised to the first power. You don’t see the exponents because it doesn’t change the value of the terms.

To combine like terms, simplify add the coefficients and keep the common variable(s) and exponent.

The distributive property is another important rule you will need to understand.

The distributive property is used mostly for simplifying parentheses in expressions/equations.

For example, how would you get rid of the parentheses here?

6(x + 1)

If there wasn’t an unknown in between the parentheses, you could just add then multiply. That is what the distributive property solves. The distributive property states that a(b + c) = ab + ac

So, now we can simplify our expression.

6(x + 1) = 6x + 6

Now let's solve your equation.

9v = 8 + v
8v = 8 <-- Subtract v from each side
v = 1 <-- Divide both sides by 8

So, v is equal to 1.

5 0

2 years ago

PlsHurry Blanck Is 7 times as much as 4

erma4kov [3.2K]

Answer:

Step-by-step explanation:

7 x 4 = 28

hopefully this helps you :)

pls mark brainlest ;)

3 0

3 years ago

Helppp!!!! please!!!

Vitek1552 [10]

Answer:

d. 15 square yard

Step-by-step explanation:

$area \: of \: shape \\ = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 10 \times 3 \\ \\ = \frac{1}{2} \times 30 \\ \\ = 15 \: {yd}^{2}$

4 0

3 years ago

Read 2 more answers

Select the correct answer,

ivanzaharov [21]

Answer:

D. 81

Step-by-step explanation:

Raise

to the power of

Rewrite the equation as

7 0

2 years ago

17. Which of the following equations would graph a line parallel to 3y = x + 5? (

Naddik [55]

The equation 3y = x + 1 would graph a line parallel to 3y = x + 5 ⇒ 1st

Step-by-step explanation:

Parallel lines have same slopes and different y-intercepts

To find which equation would graph a line parallel to 3y = x + 5

1. Put the equation in the form of y = mx + c

2. m is the slope of the line and c is the y-intercept

3. Look for the equation which has the same values of m and different

values of c

∵ 3y = x + 5

- Divide each term of the equation by 3 to put the equation in the

form of y = mx + c

∴ y = $\frac{1}{3}$ x + $\frac{5}{3}$

∴ m = $\frac{1}{3}$

∴ c = $\frac{5}{3}$

The first answer:

∵ 3y = x + 1

- Divide each term of the equation by 3

∴ y = $\frac{1}{3}$ x + $\frac{1}{3}$

∴ m = $\frac{1}{3}$

∴ c = $\frac{1}{3}$

∵ The two equations have same slope m = $\frac{1}{3}$

∵ The two equations have different y-intercepts c = $\frac{5}{3}$

and c = $\frac{1}{3}$

∴ 3y = x + 5 and 3y = x + 1 represent two parallel lines

The equation 3y = x + 1 would graph a line parallel to 3y = x + 5

Learn more:

You can learn more about slope of a line in brainly.com/question/12954015

#LearnwithBrainly

8 0

3 years ago