If there are four quarts in a gallon, how many quarts are in 101/2 gallons?

Answers

Answer 1

Answer:

Answer:

202

Step-by-step explanation:

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If the perimeter of an equilateral triangle is 24 inches, find a side of the triangle

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Divide 24/3 since it's an equilateral triangle, all sides and angles are equal. THe answer is 8.

It is 8 because you take 24 and divide it by 3

How many gallons of water will it take to fill a tank measuring 8' long 28" wide and 3' deep

Answers

You're looking for the volume function here. V=LWH

In this case the length is 8 feet
L=8
Width is 28 inches, and since there's twelve inches in a foot, it's 28/12 feet
W=28/12=2 $(1)/(3)$
Height, or in this case depth, is 3 feet
H=3

V=LWH
V=(8)(2 $(1)/(3)$ )(3)
V=56ft $^(3)$

Now you know how many cubic feet are in your tank. There are just around 7.5 gallons in a cubic foot. An estimated answer then would be the volume times 7.5

56·7.5=420

There's an estimated answer. If you need exact EXACT, then using the exact amounts and everything the answer comes out to 418.909 gallons.

(b) Kevin ran 4 miles more than Steve ran. The sum of their distances is 26 miles. How far did Steve run? The domain of the solution is .(c) Define your variable.

(d) Write algebraic expressions for the distances each person ran.

(e) Write an equation that can help you solve the problem.

Answers

Using a system of equations, it is found that:

b) The domain of the solution is that Steve ran 11 miles.

c) Variable S gives the distance ran by Steve.

d) The algebraic expressions are: K = 4 + S, K + S = 26.

e) The equation is: 4 + S + S = 26.

What is a system of equations?

A system of equations is when multiple variables are related, and equations are built to find the numeric values of each variable, according to the relations built in the problem.

In the context of this situation, the variables are given as follows:

Variable K: Distance ran by Kevin.

Variable S: Distance ran by Steve.

Kevin ran 4 miles more than Steve ran, hence:

K = 4 + S.

The sum of their distances is 26 miles, hence:

K + S = 26.

Replacing the first equation K = 4 + S on the second, we have that:

4 + S + S = 26

2S = 22

S = 11 miles.

More can be learned about a system of equations at brainly.com/question/24342899

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Help on similar triangles #14

Answers

To find the volume of a cube, the equation is V=s^3, where s is the side length of the figure.

The lengths of the cubes in this problem are 8 and 6

8^3=512
6^3=216

512:216 is the ratio of the larger cube to the smaller cube
Simplify the ratio

512:216=128:54=64:27

64:27

PLSSSS HELP IF YOU TRULY KNOW THISSSS

Answers

Just divide the original number by 1 to make the exponent positive!

Make a conjecture about the next item in the sequence.
1, 4, 16, 64, 256

Answers

1024 , multiply the last number by 4

1024 is the next in sequence

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