3 years ago

11-2(3m-10)=5(4-m) note: pls show the steps pls

Mathematics

1 answer:

Firlakuza [10]3 years ago

3 0

Answer:

m=11

Step-by-step explanation:

11-2(3m-10)=5(4-m)

11-6m+20=20-5m

11+20=20+m

11=m

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<h3>How to determine the rate?</h3>

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Radius, r = 3
Height, h = 7
Rate in, V' = 4.3m^3/min

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r/h = 3/7

Make r the subject

r = 3h/7

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Differentiate

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Make h' the subject

$h' = \frac{49}{9\pi h^2}V'$

When the water level is 3.5.

We have:

$h' = \frac{49}{9\pi * 3.5^2}V'$

Also, we have:

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So, the equation becomes

$h' = \frac{49}{9\pi * 3.5^2} * 4.3$

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Evaluate the quotient

h' = 0.608

Hence, the water level increases by 0.608 meters per minute