All categories

3 years ago

7 pipes fill a tank in 50 minutes. How many minutes does it take if there are 11 pipes?

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

5 0

Answer: With 11 pipes, you need 31.82 minutes to fill the tank.

Step-by-step explanation:

Let's define R as the rate at which one single pipe can fill a tank.

We know that 7 of them can fill a tank in 50 minutes, then we have the equation:

7*R*50min = 1 tank

Whit this equation, we can find the value of R:

R = 1 tank/(7*50min) = (1/350) tank/min.

Now that we know the value of R, we can do the same calculation but now with 11 pipes.

Then the time needed to fill the tank, T, is such that:

11*(1/350 tank/min)*T = 1 tank

We need to isolate T.

T = 1 tank/(11*(1/350 tank/min)) = 31.82 min

With 11 pipes, you need 31.82 minutes to fill the tank.

You might be interested in

70 POINTS!!!!!!!!!! Given: E, F, Q, D∈k(O),O ∈ ED, m∠DFQ = 10°, measure of arc EF = 28° Find: Angles of △EFQ

Likurg_2 [28]

Answer:

The measures of angles of triangle EFQ are

1) $m\angle EFQ=100\°$

2) $m\angle FEQ=66\°$

3) $m\angle EQF=14\°$

Step-by-step explanation:

step 1

Find the measure of arc QD

we know that

The inscribed angle is half that of the arc it comprises.

$m\angle DFQ=\frac{1}{2}(arc\ QD)$

substitute the given value

$10\°=\frac{1}{2}(arc\ QD)$

$20\°=(arc\ QD)$

$arc\ QD=20\°$

step 2

Find the measure of arc FQ

we know that

$arc\ QD+arc\ FQ+arc\ EF=180\°$ ---> because ED is a diameter (the diameter divide the circle into two equal parts)

substitute the given values

$20\°+arc\ FQ+28\°=180\°$

$arc\ FQ=180\°-48\°=132\°$

step 3

Find the measure of angle EFQ

we know that

The inscribed angle is half that of the arc it comprises.

$m\angle EFQ=\frac{1}{2}(arc\ QD+arc\ ED)$

substitute the given value

$m\angle EFQ=\frac{1}{2}(20\°+180\°)=100\°$

step 4

Find the measure of angle FEQ

we know that

The inscribed angle is half that of the arc it comprises.

$m\angle FEQ=\frac{1}{2}(arc\ FQ)$

substitute the given value

$m\angle FEQ=\frac{1}{2}(132\°)=66\°$

step 5

Find the measure of angle EQF

we know that

The inscribed angle is half that of the arc it comprises.

$m\angle EQF=\frac{1}{2}(arc\ EF)$

substitute the given value

$m\angle EQF=\frac{1}{2}(28\°)=14\°$

5 0

4 years ago

A regular ice cream cone is 5 inches tall and has a diameter of 2.5 inches. A waffle cone is 7 inches tall and has a diameter of

Lorico [155]

Answer:

a) 8.2 in^3 b) 25.8 in^3 c) 17.6 in^3

Step-by-step explanation:

volume of cone=(1/3)π(r^2)*h

a) 8.2 in^3

regular ice cream cone=(1/3)π(1.25^2)*5=8.18=8.2 in^3

b) 25.8 in^3

waffle cone=(1/3)π(1.875^2)*7=25.77=25.8 in^3

c) 17.6 in^3

waffle cone-regular ice cream cone= 25.8-8.2=17.6 in^3

8 0

3 years ago

The area of a circle is 28.26 square centimeters. What is its diameter (use 3.14 for ð)?

horsena [70]

Area for circle is πr² so πr² =28.26 and we can sub 3.14 as pi
3.14*r²=28.26 we can divide by 3.14 to get r² on it's own
r²=28.26/3.14
then we root both sides to get r on it's own
28.26/3.14=9 √9=3
and the diameter is double the radius 3*2=6 so the diameter is 6

5 0

3 years ago

Find the area of the figure in the image attached. Round to the nearest tenth if necessary.

tatyana61 [14]

Answer: 15in^2

Step-by-step explanation:

first you need to find the area of the rectangle, so you would multiply 7 and 3, which gives you 21, (A=L•W). So now you need to find the area of the triangles, the formula for that is A= 1/2 b•h, so you get 3in for the area of the triangle, but since there are two and they are the exact same triangle you would just combine them, so the area for both triangles is 6in, so then you would need to subtract the 6 from the 21 so that you can find the area of the shape, and your final answer would be 15in(squared). hopefully you understand

8 0

3 years ago

Read 2 more answers

A store bought pants at a wholesale price of $15. They retail the pants for $45. What is the amount of change? What is the perce

9966 [12]

Answer: Amount of change : $30

percent increase : 200%

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

<em>Wholesale price: $15 </em>
<em>Retail price: $45 </em>

To obtain the amount of change we have to subtract the wholesale price to the retail price:

Mathematically speaking:

45 -15 = $30

For the percent increase, the amount of change (30) is some percent of the original price (15). So:

30 / 15 =2 (decimal form)

If we multiply it by 100, the percentage is:

200%

3 0

4 years ago