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Sveta_85 [38]
2 years ago
7

A 2400 gallon pool is being filled at a rate of 40 gallons per minute. At this rate, how many minutes will it take to fill this

pool 1/2 full?
Mathematics
2 answers:
ira [324]2 years ago
6 0
After 30 minutes the pool will be half full
seropon [69]2 years ago
5 0
2400/2 to find out half of the pool size then divide by 40 to find out how fast it's filling up per minute.

30 gallons per minute
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Feliz [49]

Answer:

Therefore the mass of the of the oil is 409.59 kg.

Step-by-step explanation:

Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).

The area of the disk

=The area of the outer circle - The area of the inner circle

= \pi (r+\triangle r)^2- \pi r^2

=\pi [r^2+2r\triangle r+(\triangle r)^2-r^2]

=\pi [2r\triangle r+(\triangle r)^2]

Since (Δr)² is very small, So it is ignorable.

∴A=2\pi r\triangle r

The density \delta (r)= \frac{40}{1+r^2}

We know,

Mass= Area× density

        =(2r \pi \triangle r)(\frac{40}{1+r^2}})

Total mass M=\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i

Therefore

\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i=\int_0^5 \frac{80r\pi }{1+r^2}dr

                      =40\pi[ln(1+r^2)]_0^5

                      =40\pi [ln(1+5^2)-ln(1+0^2)]

                     =40\pi ln(26)

                     = 409.59 kg (approx)

Therefore the mass of the of the oil is 409.59 kg.

3 0
2 years ago
Name 2 same side interior angles
nasty-shy [4]

Answer:

Lines a and b are parallel to each other! ... The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary, or add up to 180 degrees.

Step-by-step explanation:

Study.com

3 0
2 years ago
A bag contains 7 red marbles, 8 blue marbles and 4 green marbles. If three marbles
labwork [276]

Answer:

answers is 19cscscsvss

6 0
2 years ago
Rasheed bought two kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each. He handed out 2/3 of the cho
Contact [7]

Answer:

9 packages of chocolate bars

Step-by-step explanation:

Let he bought c packages of chocolate bars and t packages of toffee bars,

Since, he bought 1 fewer package of chocolate bars than toffee bars.

⇒ c = t - 1  -----(1)

Also, he handed out out \frac{2}{3} of the chocolate bars and \frac{3}{5} of the toffee bars,

If he handed out the same number of each kind of candy bar.

\implies \frac{2}{3}\times c=\frac{3}{5}\times t

10c = 9t     ( By cross multiplication )

\implies t=\frac{10}{9}c    ( Division property of equality )

From equation (1),

c=\frac{10}{9}c-1

1=\frac{10}{9}c-c

1=\frac{10c-9c}{9}

1=\frac{c}{9}

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Hence, he bought 9 packages of chocolate bars.

4 0
2 years ago
If 3x+2=5/9, what is the value of −3x+8?<br><br>Group of answer choices
allsm [11]

Answer:

= 4

Step-by-step explanation:

first lets find the value of x in 3x+2=5/9

3x+2=5/9

3x = \frac{5}{9} -2

3x = \frac{3}{9}

3x = \frac{1}{2}

x = \frac{1}{2 * 3\\ }

x = \frac{1}{6}

\frac{1}{6} can also be written as 6^{-1}

−3x+8

-3 (\frac{1}{6}) +8

\frac{-3}{6} +8

= 4

3 0
2 years ago
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