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Artemon [7]
3 years ago
11

One pump can empty a pool in 4 days, whereas a second pump can empty the pool in 10 days. How long will it take the two pumps, w

orking together, to empty the pool? (Fractional answers are OK.)
Mathematics
1 answer:
gtnhenbr [62]3 years ago
7 0

Answer:

20/7 days (just less than 3 days)

Step-by-step explanation:

Recall that (1 job) = (rate)(time), so time = (1 job) / (rate).

Set up and solve the following equation:

  1 job

------------------------------- = time required for 2 pumps working together

1 job         1 job

---------- + -------------

4 days      10 days

This comes out to:

              1 job

------------------------------------------- = time required

10 job-days      4 job-days

------------------ + -----------------

   40 days           40 days

or:

    1 job

-------------------- = (40/14) days, or 20/7 days (just less than 3 days)

14 job·days

-----------------

   40 days  

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3 years ago
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The function f(x) = 2x 26 represents the distance a flock of birds travels in in miles. The function g(x) = x − 1 represents the
nydimaria [60]

Speed is the ratio of distance and time. When we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.

<h3>What is speed?</h3>

Speed can be defined as the rate of change in the position of an object. It is given as,

Speed = \dfrac{Distance}{Time}

Given to us

Distance traveled, f(x) = 2x+26

Time, g(x) = x − 1

As we know that the ratio of distance and time is equal to the speed of the object. Since the distance traveled by the flock of birds is given also, the time needed for them to travel the distance is also given.

We need to find f divided by g of 5, which is the speed of the flock,

Speed = \dfrac{Distance}{Time} = \dfrac{f(x)}{g(x)}

Speed = \dfrac{f(x)}{g(x)}  = \dfrac{2x +26}{x-1}

Speed = \dfrac{f(5)}{g(5)}  = \dfrac{2(5) +26}{(5)-1}\\\\Speed = 9 \rm\ miles/ hour

Hence, when we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.

Learn more about Speed:

brainly.com/question/7359669

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2 years ago
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Answer:

Estimate of population 0.61

(b) Margin of error = 0.07 The real population interval estimation is ± 7%.

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d) The real population's interval estimation is ± 15%

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A rational number stops and can be turned into a fraction and doesn’t repeat while an irrational number does the opposite
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here is your answer mate.

in triangle ABC

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90 + 58 + angle ACB = 180 degree.

148 + angle ACB = 180 degree.

angle ACB = 180 - 148

angle ACB = 32 degree

the angle of elevation is 32 degrees

5 0
3 years ago
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