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Svetllana [295]
3 years ago
8

Your pump empties the water from a swimming pool in 8 hours. When your friend's pump is used together with your pump, the pool i

s emptied in 2
hours and 40 minutes. How long (in hours) does it take your friend's pump to empty the pool when working alone?
Mathematics
1 answer:
Lelu [443]3 years ago
4 0

Answer:

4 Hr.

Step-by-step explanation:

Given,

Your pump alone can empties the water in = 8 hrs

With the help of friend pump it take = 2.67 hr

time taken by friends to empty the whole tank = t = ?

We have,

\dfrac{1}{8}+\dfrac{1}{t}= \dfrac{1}{2.67}

\dfrac{1}{t}= \dfrac{1}{2.67}-\dfrac{1}{8}

\dfrac{1}{t}=0.2499

t = \dfrac{1}{0.2499}

t = 4\ hrs

Time taken to empty the tank by the friends pump alone is equal to 4 Hr.

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She walks 6/5 of a mile in 1 hour

So, she walks 1.2 miles per hour
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1/5 of a box of erasers and youneed to share with 3 people including yourself what fraction of the box would each person get
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Lincoln middle school plans to collect more than 2,000 cans of food in a food drive. So far, 668 cans have been collected. WRITE
AURORKA [14]
Let x be the unknown number.

7x + 668 < 2000     => 7x plus 668 is less than 2000

where:
7x => x represents the number of cans to be collected in 7 days
668 is the number of cans already collected.
2000 is the target number of cans.

7x  +  668    <    2000
 <u>       - 668           -668</u>
7x                <   1332
<u>÷7                        ÷7</u>
x                  <    190.30
or
x < 190

To check:

7x + 668 < 2000
7(190) + 668 < 2000
1330 + 668 < 2000
1998 < 2000
8 0
3 years ago
Read 2 more answers
The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f
WITCHER [35]

Answer:

Part 1) A=36(\pi-2)\ cm^2

Part 2) P=6(\pi+2\sqrt{2})\ cm

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

so

A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)

we have that the base and the height of triangle is equal to the radius of the circle

r=12\ cm\\b=12\ cm\\h=12\ cm

substitute

A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2

simplify

Factor 36

A=36(\pi-2)\ cm^2

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r

substitute the given values

C=\frac{1}{2}\pi (12)\\C=6\pi\ cm

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm

simplify

AC=12\sqrt{2}\ cm

Find the perimeter

P=(6\pi+12\sqrt{2})\ cm

simplify

Factor 6

P=6(\pi+2\sqrt{2})\ cm

4 0
3 years ago
A function is shown f(x) = 2/3x +3 what is the value of f (6)?
Katena32 [7]

Answer:

The answer is 28/9

Step-by-step explanation:

Step one

Given information

We are given that the function is

f(x) = 2/3x +3

And we are expected to find f(6), that is substitute the value of x with 6

Step two:

f(6)= 2/3(6)+3\\\\f(6)=2/18+3\\\\f(6)=1/9+3\\\\f(6)=1+27/9\\\\f(6)= 28/9

5 0
3 years ago
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