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Oduvanchick [21]
3 years ago
11

A pool has 2 pipes, one to fill and one to empty it. Ms.Charles wants to fill the pool, but she mistakenly turns on both pipes a

t the same time. The pipe that fills the pool can fill in 6 hours and the one that drains it can do that job in 10 hours. How long will it take to fill the now that both pipes are filling and emptying it at the same time?
Mathematics
1 answer:
dolphi86 [110]3 years ago
6 0

-- The filler pipe can fill 1/6 of the pool every hour.

-- The drainer pipe can drain 1/10 of the pool every hour.

-- When they're filling and draining at the same time, the filler pipe
will win eventually, because it finishes more of the pool in an hour
than what the drain pipe can finish in an hour.

-- When they're filling and draining at the same time, then every hour,
1/6 of the pool fills and 1/10 of it empties.  The difference is   (1/6) - (1/10).

To do that subtraction, we need a common denominator.
The smallest denominator that works is 30.

       1/6  =  5/30

     1/10  =  3/30 .

So in every hour,  5/30 of the pool fills, and  3/30 of the pool empties.
The result of both at the same time is that  2/30 = 1/15  fills each hour.

If nobody notices what's going on and closes the drain pipe, it will take
<em><u>15 hours</u></em> to fill the pool.


If the drain pipe had <em><u>not</u></em> been open, the filler pipe alone could have filled
the pool <em><u>2-1/2 times</u></em> in that same 15 hours.  With both pipes open,
1-1/2 pool's worth of water went straight down the drain during that time,
and it was wasted. 

I would say that the school should take the cost of 1-1/2 poolsworth out
of Ms. Charles' pay at the rate of $5 a week.  I would, but that would
guarantee her more job security than she deserves after pulling a stunt
like that.

I hope this did not take place in California.


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olga_2 [115]

The value of a = 2.17 and b = 1.95.

<h3>What is regression line?</h3>

A regression line is a graphic representation of the regression equation expressing the hypothesized relationship between an outcome or dependent variable and one or more predictors or independent variables;

y=2.01*1.93^{x}

Correlation:

r=0.964

R-squared:

r²=0.9292

Hence, value of a and b is 2.17 and 1.95.

learn more about regression line here:

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8 0
2 years ago
Could someone please help me solve this?
ryzh [129]

Answer:

40

Step-by-step explanation:

(2/5)*n - 6 = 10                         Add 6 to both sides

(2/5)*n - 6 + 6 = 10 + 6             Combine

(2/5)*n = 16                               Multiply both sides by 5/2

(5/2)(2/5)n = 16*(5/2)

n = 80 / 2

n = 40  

6 0
2 years ago
A girl has 3 shirts (red, yellow, blue) and 6 pairs of socks (red, blue, green, orange, white, black). What is the probability h
tatiyna

Answer:

1/18

Step-by-step explanation:

P(Orange AND Red)

= P(Orange socks)*P(Red shirt)

= 1/3*1/6

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5 0
1 year ago
A farmer wants to plant an apple orchard. His design consists of 10 rows of trees, where each row is 29.79 feet long. When he ge
Elis [28]
First divide 29.79 feet by 6
\frac{29.79}{6} = 4.97
But since you can't plant only a fraction of a tree, you can plant a maximum of 4 trees per row.
Now there are ten rows so...
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3 years ago
Which of these is the algebraic expression for "3 times the sum of 2 and y?"
max2010maxim [7]

Answer:

the answer is 3(2+y)

Step-by-step explanation:

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7 0
2 years ago
Read 2 more answers
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