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Leviafan [203]
3 years ago
6

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.

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aleksandr82 [10.1K]
It took 22 $20 bills . $86 x5= $430
Then $430 divide by 20 = 21.5
So you can’t have half a bill do the answer has to be rounded up to 22 twenty dollar bills
3 0
3 years ago
12.5 of what number is 150
Y_Kistochka [10]

Answer: 1,200


Step-by-step explanation:

1,200 x .125 = 150


4 0
3 years ago
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Determine the distance between the points plotted on the graph. Round to the nearest tenth, if necessary.
777dan777 [17]

Answer:

d= 4\sqrt{2} or 5.66

Step-by-step explanation:

(-2,7) and (2,3)

d = \sqrt{(x2-x1)^{2} + (y2-y1)^{2} }

d= \sqrt{(2-(-2))^{2} + (3-7)^{2}  }

d = \sqrt{16 + 16}

d= 4\sqrt{2} or 5.66

7 0
2 years ago
Solve 3x + 23 + x = 7. x = −4 x = 4 x = −0.25 x = 0.25
Maksim231197 [3]
<h2>______________________________</h2><h2>Solve for x | Solution and Explanation </h2>

______________________________________________

Hello! So...

We are given the following:

Solve for x.

3x+23+x=7

====================

1. Group the like terms.

  • 3x+x+23=7

====================

2. Add similar elements (3x+x=4x).

  • 4x+23=7

====================

3. Subtract 23 from both sides.

  • 4x + 23 - 23 = 7 - 23

====================

4. Simplify.

  • 4x=-16

====================

5. Divide both sides by 4.

  • \frac{4x}{4} =\frac{-16}{4}

====================

6. Simplify.

  • x=-4 (aka. Option A)

====================

Hope this helps!

3 0
1 year ago
NO LINKS!!!! Find the equation of the circle below​
inysia [295]

Answer:

(x+3)^2+(y-2)^2=9

Step-by-step explanation:

<u>Equation of a circle</u>

(x-a)^2+(y-b)^2=r^2

where:

  • (a, b) is the center
  • r is the radius

From inspection of the diagram, the center of the circle <em>appears</em> to be at point (-3, 2), although this is not very clear.  Therefore, a = -3  and  b = 2.

Substitute these values into the general form of the equation of a circle:

\implies (x-(-3))^2+(y-2)^2=r^2

\implies (x+3)^2+(y-2)^2=r^2

Again, from inspection of the diagram, the <u>maximum vertical point</u> of the circle appears to be at y = 5.  Therefore, to calculate the radius, subtract the y-value of the center point from the y-value of the maximum vertical point:

⇒ radius (r) = 5 - 2 = 3

Substitute the found value of r into the equation:

\implies (x+3)^2+(y-2)^2=3^2

Therefore, the final equation of the given circle is:

\implies (x+3)^2+(y-2)^2=9

7 0
2 years ago
Read 2 more answers
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