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Vilka [71]
3 years ago
8

One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 12 hours. How long will it take the pipe to

fill the pool if the drain is left open?
Mathematics
1 answer:
Ainat [17]3 years ago
5 0

Answer: 12 hours

Step-by-step explanation:

Let x = time it takes to fill the pool if the inlet pipe and drain pipe are both open

1/6 = portion of pool filled per hour by the inlet pipe

1/12 = portion of pool emptied per hour by the drain

1/x = portion of pool filled per hour if the inlet pipe and drain are both open

Then, 1/6 - 1/12 = 1/x

Multiply by the LCD, 12x, to obtain

2x - x = 12

x = 12 hours

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Three friends went to the movies. Each movie ticket cost $8.50. Each person ordered a drink for $4.75. Two friends also bought p
vfiekz [6]

Answer:

P = $7.00

Step-by-step explanation:

Movie tickets = $8.50

Drink = $4.75

Two friends also bought popcorn

Total spent by the group = $53.75

Given equation:

3(8.50 + 4.75) + 2p = 53.75

Where,

P = cost of one order of popcorn

3(8.50 + 4.75) + 2p = 53.75

25.50 + 14.25 + 2p = 53.75

39.75 + 2p = 53.75

2p = 53.75 - 39.75

2p = 14

p = 14 / 2

p = 7

p = $7.00

8 0
3 years ago
THERE WAS A HALF CLASS OF WATER IN A FRACTION HOW MUCH WATER WOULD 3 PEOPLE GET?
kkurt [141]

Answer:

0.16

Step-by-step explanation:

you divide 1/2 by 3 to 0.16666666 but it would recuce to 0.16

6 0
3 years ago
Your neighbor will pay you $9.00 to wash his car. How many full hours will you now have to babysit (at $10.00 an hour) so you ca
Ber [7]
Will you will have to babysit like 6 hours cause you got pay only 9 from the car wash and 10x5=50 + the 9 car wash is 59 only and u will need the .95 so u will need 6 hours of babysitting for the .96
8 0
2 years ago
Read 2 more answers
.At a certain animal shelter, the ratio of puppies to adult dogs is 7 to 4. This week there are a total of55 dogs in the shelter
Advocard [28]

Answer:

There are 35 adult dogs and 20 puppies

<em></em>

Step-by-step explanation:

<em>Represent the puppies with P and the Adult dogs with A</em>

Given

A : P = 7 : 4

Dogs = 55

Required

Determine A and P

First, we need to sum the ratios;

Total = A + P

Total = 7 + 4

Total = 11

Adult Dogs is then calculated as follows;

A = \frac{A\ Ratio}{Total} * Dogs

A = \frac{7}{11} * 55

A = \frac{385}{11}

A = 35

Puppies is calculated by subtracting the number of adult dogs from the total

P = Dogs - Adult\ Dogs

P = 55 - 35

P = 20

<em>Hence;</em>

<em>There are 35 adult dogs and 20 puppies</em>

3 0
3 years ago
Which is the correct answer?
gayaneshka [121]

Answer:

The correct answer is y = 12x + 9

Step-by-step explanation:

There is a formula called y = mx + b where m is the slope and b is the y-intercept

The y-intercept is 9 so y = mx + 9

The slope is 12/1 or just 12 so y = 12x + 9

5 0
2 years ago
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