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Deffense [45]
4 years ago
8

Marcella divided 40.8 gallons of paint among 8 containers. How much paint is in each container?

Mathematics
2 answers:
den301095 [7]4 years ago
8 0
40.8/8 = 5.1

5.1 gallons per container

hope this helps :D

Ipatiy [6.2K]4 years ago
8 0
5.1 gallons in each container

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Use proportional reasoning to solve for the missing value in each of the following scenarios. Enter a numerical answer only.A bu
yuradex [85]

Q1. A business jet burns 300 gallons of gasoline per hour. How many gallons of gasoline will the jet burn in a three hour flight?

Let the number of gallons required in 3 hours be = x

\frac{x}{3}=\frac{300}{1}

x=900 gallons.

Answer: The business jet burns 900 gallons of gasoline in a three hour flight.

Q2. On average, one gallon of gasoline weights approximately six pounds. How many pounds does fifty gallons of gasoline weigh?

Let the weight in pounds of 50 gallons be = x

\frac{1}{6}=\frac{50}{x}

x=300 pounds

Answer: Fifty gallons of gasoline weighs 300 pounds.

Q3. For every one yard, there are thirty-six inches. Convert 2,124 inches to an equivalent number of yards.

Let the number of yards be = x

\frac{1}{36}=\frac{x}{2124}

36x=2124

x=\frac{2124}{36}=59 yards

Answer: 2,124 inches = 59 yards

Q4.  A person who weighs 240 pounds burns 180 calories per mile of running. If a person burns thirty-six calories by running one mile, how much does the person weigh?

Let the weight of the person be = x

\frac{240}{180}=\frac{x}{36}

180x=240\times36

180x=8640

x=48 pounds

Answer: A person who weighs 48 pounds, burns thirty-six calories while running one mile.

Q5. A rice casserole recipe serves four people and requires two tablespoons of butter. How many people will the rice casserole serve if the recipe is scaled to require six tablespoons of butter?

Let the number of people who can be served be = x

\frac{4}{2}=\frac{x}{6}

2x=24

x=12

Answer: A rice casserole that requires six tablespoons of butter serves 12 people.



5 0
3 years ago
which of the following is not a way to represent the solution of the inequality 8x − (5x 4) greater than or equal to −31? a. x g
IgorLugansk [536]
8x - (5x + 4) ≥ -31

8x -5x - 4 ≥ -31

3x ≥ -31 + 4

3x ≥ -27

x ≥ - 9

Answer: a numbe line with a circle on - 9 and shading to the left.

Because that drawing represents the number that are less or equel than -9 and the answer is the numbers greater or equal than -9.
7 0
3 years ago
Define cultural identity in your own words
Semenov [28]

Simply put, cultural identity is what identifies one with a group of shared identities such as music, traditions, among others.

<h3>What is Cultural Identity?</h3>

Cultural identity can be defined as the self-perception of an individual which gives them a sense of belonging to an identical group that shares same qualities which may included music, food, traditions, social class, beliefs, ethnicity, among others.

In summary, we can say that cultural identity is what identifies one with a group of shared identities such as music, traditions, among others.

Learn more about cultural identity on:

brainly.com/question/25729774

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4 0
2 years ago
The product of two consecutive positive integers is 19 more than their sum. Find the integers.
strojnjashka [21]
The crucial part of the wording of the problem tells us that the two integers are consecutive. So, let's call the first term x. Then the other term must be x + 1 since it comes right after it and is an integer. Now we can solve:

x(x + 1) = x  + (x + 1) + 19

x^2 + x = 2x + 20

x^2 - x - 20 = 0

Now we factor:

(x - 5)(x + 4) = 0

This means x either equals 5 or x = -4 to satisfy the above equation. We know that x is positive from the question itself, so x must be 5. The number consecutively after it then must be 6.
6 0
3 years ago
Use any method to solve the equation. If necessary, round to the nearest hundredth.
vlada-n [284]

Here, in order to find the solutions to the quadratic equation - x² + x - 30 = 0, we will use factorization method.

In the method, we will split 30, in such factors, which when added or subtracted gives us 1,  and when multiplied gives us -30.

So, we will use, -5 and 6. When they are added they will give us 1 and when multiplied they will give us -30 as answer.

Now, the equation will be written as -

x² - 5x + 6x - 30 = 0

Taking common, we get

x(x - 5) +6(x-5) = 0

(x-5)(x+6) = 0

So, x - 5 = 0 and x +6 = 0, we will get, x = 5 and x = - 6

<u>Thus, the correct option is C). x = 5 and -6</u>

4 0
4 years ago
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