PLEASE HELP Victors swimming pool hold 3,000 gallons. He filled the pool using two hoses. The larger hose filled the pool four times as fast as the smaller one. How many gallons of water came from the smaller hose?

Answers

Answer 1
Answer:

The amount of gallons of water from the smaller hose is 2400 gallons

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of gallons of water from the hose = x

Now , The total amount of water the pool can hold = 3000

And , the larger hose fills the pool 4 times faster than smaller one

So , The amount of water larger hose can fill = x

The amount of water smaller hose can fill = 4x

Total amount of water = 4x + 1x

                                     = 5x

Now , the equation will be

5x = total amount of water the pool can hold

5x = 3000

Divide by 5 on both sides , we get

x = 600

Now , substituting the value of x in the equation , we get

The amount of water smaller hose can fill = 4x

The amount of water smaller hose can fill = 4 x 600 gallons

                                                                     = 2400 gallons

Hence ,

The amount of gallons of water from the smaller hose is 2400 gallons

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Answer 2
Answer: We know that there are 3,000 gallons in the swimming pool and that one hose filled it in x minutes (or hours, doesn't matter), while the second hose filled it 4x minutes. Together we have 5x (five parts that hoses have filled), so all we need to do is to divide 3,000 by 5:

3,000 ÷ 5 = 600

Now we can see that one hose filled 600 gallons, while the other one filled 4 * 600 = 2,400 gallons.

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The answer would be closest to the first multiple choice answer

Answer:

Did anyone get the answer to this?

Step-by-step explanation:

What is the answer to 2 3/8 ÷ 1 1/4

Answers

2(3)/(8) ÷ 1(1)/(4) equals 1(9)/(10).

First, convert 2 (3)/(8) to improper fraction. Use this rule: a (b)/(c)(ac+b)/(c). Your problem should look like: (2x8+3)/(8) ÷ 1(1)/(4).
Second, simplify 2 x 8 to get 16. Your problem should look like: (16+3)/(8) ÷ 1 (1)/(4).
Third, simplify 16 + 3 to get 19. Your problem should look like: (19)/(8) ÷ 1 (1)/(4).
Fourth, convert 1(1)/(4) to improper fraction. Use the same rule as earlier. Your problem should look like: (19)/(8) ÷ (4+1)/(4).
Fifth, simplify 4 + 1 to get 5. Your problem should look like: (19)/(8) ÷ (5)/(4).
Sixth, apply this rule: a ÷ (b)/(c) = a × (c)/(b). Your problem should look like: (19)/(8) × (4)/(5).
Seventh, apply this rule: (a)/(b) × (c)/(d)(ac)/(bd). Your problem should look like: (19x4)/(8x5).
Eighth, simplify 19 × 4 to get 76. Your problem should look like: (76)/(8x5).
Ninth, simplify 8 × 5 to get 40. Your problem should look like: (76)/(40).
Tenth, simplify. Your problem should look like: (19)/(10).
Eleventh, convert to mixed fraction. Your problem should look like: 1 (9)/(10) which is the answer.

Answer as mixed number form: 1(9)/(10).
Answer as exact form: (19)/(10).
Answer as decimal form: 1.9.


The simplification of the given mixed number expression is equal to 1 9/10.

To perform the division of mixed numbers 2 3/8 ÷ 1 1/4, follow these steps:

Convert the mixed numbers to improper fractions.

2 3/8 = (2 × 8 + 3) / 8 = 19 / 8

1 1/4 = (1 ×4 + 1) / 4 = 5 / 4

Take the reciprocal of the divisor (the second fraction) to turn the division into multiplication.

Reciprocal of 5 / 4 is 4 / 5.

Multiply the dividend (the first fraction) by the reciprocal of the divisor.

(19 / 8) × (4 / 5) = (19 × 4) / (8 × 5) = 76 / 40

Simplify the result if possible.

To simplify the fraction 76 / 40, divide both the numerator and denominator by their greatest common factor (GCF), which is 4.

76 ÷ 4 = 19

40 ÷ 4 = 10

The simplified fraction is 19/10.

Convert the improper fraction back to a mixed number (if needed).

19/10 can be written as 1 9/10.

Therefore , the answer  of the simplification to 2 3/8 ÷ 1 1/4 is 1 9/10.

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Answers

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