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3 years ago

Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.

Mathematics

1 answer:

andrezito [222]3 years ago

4 0

Answer:

Step-by-step explanation:

(I don't know how to type exponents so they will be written like s3, (23)3, or ft3)

The equation given is V =s3

You have given the value of s (edge length of the cube)

That s value is 23 ft.

you substitute that into the equation to get:

V = (23)3

solve (23)3

the long way is 23*23*23

this all equals 12167

the volume is 12167 ft3

However if you need it as a fraction you can say 12167/1

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The volume V of a gas varies inversely as the pressure P and directly as the temperature A certain gas has a volume of 10 liters

Ad libitum [116K]

Answer:

Joint variation states that:

If z is directly proportional to x and inversely proportional to y,

i.e, $z \propto x$ , $z \propto \frac{1}{y}$

then the equation is in the form: $z = k\frac{x}{y}$ where k is the constant of variation.

From the given information: The volume V of a gas varies inversely as the pressure P and directly as the temperature

i.,e $V \propto T$ , $V \propto \frac{1}{P}$

by definition of joint variation:

$V = k\frac{T}{P}$ .....[1] where k is the constant of variation.

It is also given that a certain gas has a volume of 10 liters(L) , a temperature of 300 kelvins(K), and a pressure of 1.5 atmosphere(atm).

Substitute these given values in [1] to solve for k;

$10 = k\frac{300}{1.5}$

Simplify:

$10 = 200k$

Divide by 200 both sides we have;

$k = \frac{10}{200} =\frac{1}{20}$

Now, if a gas has a temperature of 400 kelvins and a pressure of 5 atm.

To find the volume (V);

Now substitute the given data and value of k in [1] we have;

$V = \frac{1}{20} \cdot \frac{400}{5} = \frac{20}{5} = 4$

Therefore, the Volume of a gas is, 4 liters

5 0

3 years ago

In a seventh grade class, 14 out of 30 students are boys. In simplest terms, what is the ratio of the number of boys to the numb

Grace [21]

14 boys : 16 girls

but this would have to be simplified also

7:8

5 0

3 years ago

Read 2 more answers

PLEASE HELP ME SOLVE THIS ILL GIVE BRAINLIST ❗️

neonofarm [45]

Answer:

x=money

Step-by-step explanation:

3<=x<=4 (<= means greater than or equal to)

4 0

2 years ago

A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and

Alona [7]

Answer:

1 Chair= $1.25 1 table= $8.25

Step-by-step explanation:

5c+3t=31

2c+6t= 52

-2(5c+3t=31)

-10c-6t=-62

2c+6t=52

= -8c=-10

/-8 /-8

c= 1.25 or 1 1/4

2c+6t=52

2(1.25)+6t=52

2.5+6t=52

-2.5 -2.5

6t= 49.5

/6 /6

t= 8 1/4

5 0

2 years ago

Which expression is equivalent to -9(x – 4) – 6x?

kvv77 [185]

= -9(x – 4) – 6x
Multiply -9 by everything in parentheses first

= (-9*x) + (-9*-4) - 6x
= -9x + (36) - 6x

Combine like terms
= (-9x-6x) + 36

= -15x + 36

The middle choice is the answer:
-15x + 36

Hope this helps! :)

3 0

3 years ago