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son4ous [18]
3 years ago
15

The water from one outlet, flowing at a constant rate, can fill a swimming pool in 9 hours. The water from a second outlet, flow

ing at a constant rate, can fill the same pool in 5 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool?
(A) 0.22
(B) 0.31
(C) 2.50
(D) 3.21
(E) 4.56
Mathematics
1 answer:
seropon [69]3 years ago
3 0

Answer: (D) 3.21

Step-by-step explanation:

Let t_A= Time taken by one outlet to fill the pool.

t_B=Time taken by second outlet to fill the pool.

Given : The time taken by one outlet to fill the entire pool : t_A= 9 hours

The time taken by second outlet to fill the entire pool : t_B= 5 hours

Now , if both outlets are used at the same time, approximately what is the number of hours required to fill the pool (T) , then the time required to fill the pool will be :_

\dfrac{1}{T}=\dfrac{1}{t_A}+\dfrac{1}{t_B}\\\\\Rightarrow =\dfrac{1}{T}=\dfrac{1}{9}+\dfrac{1}{5}\\\\\Rightarrow\ \dfrac{1}{T}=\dfrac{9+5}{(9)(5)}=\dfrac{14}{45}\\\\\Rightarrow\ T=\dfrac{45}{14}=3.21428571429\approx3.21

Hence, the approximate time taken by both outlets to fill the pool together = 3.21 hours.

Thus , the correct option is  (D) 3.21

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Step-by-step explanation:

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Donna has ridden 28 miles of a bike course. The course is 35 miles long. What percentage of the course has Donna ridden so far?​
ZanzabumX [31]

Answer:

Use a calculator to divide the two values (small over big) to get 14/35 = 0.4

Now multiply that result by 100 to convert to a percentage

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7 0
3 years ago
a container of coffee is 1/6 full.The container contains 2/3 of a pound of coffee.write division expression that represents the
zimovet [89]

Answer:

capacity of the container is 4 pound

Step-by-step explanation:

We have given that a container of the coffee is \frac{1}{6} full

And it contains \frac{2}{3} of a pound so \frac{2}{3} pound

It means \frac{1}{6} f of container contain  \frac{2}{3}  pound coffee

So capacity of the container is \frac{\frac{2}{3}}{\frac{1}{6}}=4pound

So capacity of the container is 4 pound

8 0
3 years ago
Suppose a miniature golf player sinks a hole-in-one about 12% of the time on any given hole and is going to play 8 games at 18 h
vladimir2022 [97]

A) The probability the golfer got zero or one hole-in-one during a single game is between 10.01% and 11.38%.

B) The probability the golfer got exactly two holes-in-one during a single game is 8.57%.

C) The probability the golfer got six holes-in-one during a single game is close to 0%.

<h2 /><h2><u>How to determine probabilities</u></h2>

Since a miniature golf player sinks a hole-in-one about 12% of the time on any given hole and is going to play 8 games at 18 holes each, to determine A) what is the probability the golfer got zero or one hole -in-one during a single game, B) what is the probability the golfer got exactly two holes-in-one during a single game, and C) what is the probability the golfer got six holes-in-one during a single game , the following calculations must be performed:

  • 1 - 0.12 = 0.88
  • 0.88 ^ 17 = 0.1138
  • 0.88 ^ 18 = 0.1001

Therefore, the probability the golfer got zero or one hole-in-one during a single game is between 10.01% and 11.38%.

  • 0.88 ^ 18 - 0.12 ^ 2 = X
  • 0.0857 = X

Therefore, the probability the golfer got exactly two holes-in-one during a single game is 8.57%.

  • 0.12 ^ 6 x 0.88 ^ 12 = X
  • 0.0000000001 = X

Therefore, the probability the golfer got six holes-in-one during a single game is close to 0%.

Learn more about probabilities in brainly.com/question/25273534

3 0
3 years ago
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