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postnew [5]
3 years ago
10

One pipe can fill a pool in 9 hours. Another pipe can fill the pool in 6 hours. How long would it take them to fill the pool if

they were working together?

Mathematics
1 answer:
kow [346]3 years ago
3 0

Answer:

3.6 hours or 3 hours and 36 minutes.

Step-by-step explanation:

If the first pipe can fill the pool in 9 hours that means that in 1 hour it fills \frac{1}{9} of the pool, we use the same logic for the second pipe and conclude that in 1 hour it feels up \frac{1}{6} of the pool. If both were to fill the pool together that means that in 1 hour they would fill...

\frac{1}{9} +\frac{1}{6} = \frac{5}{18} of the pool in 1 hour.

Now to find how many hours it will take divide the pool by the speed with which it is getting filled.

1 / \frac{5}{18} = 3.6 hours

3.6 hours in other words is 3 hours and 36 minutes.

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The sum of the ages of Kristen and Ben is 32. Four years ago Kristen was twice as old as Ben. How old are they both now?
Elan Coil [88]

Let us say that:

K = age of Kristen

B = age of Ben

 

From the problem, we make the equations:

eqtn 1: K + B = 32

eqtn 2: (K – 4) = 2 (B – 4)

 

Simplifying eqtn 2:

K – 4 = 2 B – 8

K = 2 B – 4

 

Plugging in this to eqtn 2:

(2 B – 4) + B = 32

3 B – 4 = 32

3 B = 36

B = 12

 

From eqtn 2:

K = 2 B – 4 = 2 (12) – 4 = 20

 

So Kristen is 20 while Ben is 12.

5 0
4 years ago
This shape is made up if the following
Alex

Answer:

a. 100.48

b. 1,004.8

c. 1,105.28

Step-by-step explanation:

a. a cone with volume = ⅓×3.14×4²×6=

100.48

b. a cylinder with volume = 3.14×4²×20=

1,004.8

c. total volume = 100.48+1,004.8

= 1,105.28

5 0
3 years ago
Sharon wants to buy a shirt that costs $55. The sales tax is 5%. How much is the sales tax? What is her total cost for the shirt
Simora [160]
5% of $55 is $2.75 so the total should be $57.75??
7 0
3 years ago
(pts) What are the next three numbers in the pattern: 2, -4, 6, -8, 10. <br> Thanks!
Serhud [2]

Answer and Step-by-step explanation

\huge\boxed{-12, 14, -16}

2, -4, 6, -8, 10, -12, 14, -16

These are the next three numbers in the pattern :-12, 14, -16

4 0
3 years ago
Read 2 more answers
What is 1 2/3 multiple 2/3
Flauer [41]

Answer:

1\frac{1}{9}

Step-by-step explanation:

Given the following question:

1\frac{2}{3} \times\frac{2}{3}

In order to multiply the two, we have to convert the mixed number into a improper fraction and then multiply the numerator by the numerator, the denominator by the denominator.

1\frac{2}{3} =3\times1=3+2=\frac{5}{3}
\frac{5}{3} \times\frac{2}{3}
5\times2=10
3\times3=9
=\frac{10}{9}

<u>Convert the improper fraction into a mixed number:</u>

\frac{10}{9}
\frac{10}{9} =10\div9=1\frac{1}{9}
=1\frac{1}{9}

Your answer is "1 1/9."

Hope this helps.

7 0
2 years ago
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