MATHEMATICS HIGH SCHOOL

A swimming pool can be filled using either a pipe, a hose, or both. Using the pipe alone takes 12 hours. Using both it takes 8(4)/(7) hours. How long does it take using the hose alone?

Answers

Answer 1
Answer: (1)/(x)+(1)/(12)=(1)/(8(4)/(7))\n(1)/(x)=(1)/((60)/(7))-(1)/(12)\n(1)/(x)=(7)/(60)-(1)/(12)\n(1)/(x)=(7)/(60)-(5)/(60)\n(1)/(x)=(2)/(60)\n(1)/(x)=(1)/(30)\nx=30

30 hrs
Answer 2
Answer:

Final answer:

The time it would take to fill the pool using the hose alone is 15 hours. This was calculated using the information given on the time it takes to fill the pool using the hose and the pipe together, and the time it takes to fill the pool using just the pipe, to find the individual rates of filling and then solve for the time for the hose alone.

Explanation:

The subject of this problem is rates, specifically the rate at which the pool is being filled with water. Let's denote the rate of the pool filling with the pipe as P, and the rate of the pool filling with the hose as H. We know that the pool fills in 12 hours with only P, so P = 1/12 pools/hour.

Additionally, we know that it takes 8 4/7 hours to fill the pool with both P and H. So, the rate of P + H = 1/(8 4/7) pools/hour, which simplifies to 7/60.

Given that we know P, we can solve for H by subtracting P from the combined rate. H = P + H - P = 7/60 - 1/12 = 1/15 pools/hour. Therefore, to fill the pool using the hose alone, it will take 1/H = 1/(1/15) = 15 hours.

Learn more about Rates here:

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Answers

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Carmen is using the quadratic equation (x + 15)(x) = 100 where x represents the width of a picture frame. Which statement about the solutions x = 5 and x = –20 is true?

Answers

The correct solution should be x = 5 for the reason that we are calculating for the width which is always a positive value. 

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No statements have been posted here actually that is why I have given an interpretation of your answers. 

Describe how to decide if 94 is a prime number or composite number

Answers

94 is a composite number.

If 94 were a prime number, 94 would only have 2 factors, which are 1 and itself. Since 94 has another factor other than 1 and itself (which is 2), 94 is a composite number.

Hope this helps~
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A triangular region of the community college parking lot was measured. The measure of the first angle of this triangle is double the measure of the second angle. The measure of the third angle is 19° greater than double the measure of the first angle. What are the measurements of all three angles?

Answers

The key to word problems like this is to turn them into an equation, then they are much simpler to solve.
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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Mr Jones is 4 years older than his wife and 31 years older than his son. their ages add up to 82 years. if Mr Jones is x years old, find the value of x and the ages of his wife and son.​first person here gets the brainiest award thingy!

Answers

Answer:

39 Mr Jones

35 Mrs. Jones

8 Son

Step-by-step explanation:

x       ----> Mr. Jones

x - 4  ----> His wife

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x - 4

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35 Mrs. Jones

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8 Son
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