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Nezavi [6.7K]
3 years ago
14

How to find the missing variable?

Mathematics
1 answer:
forsale [732]3 years ago
8 0
50 + 3x = 7x + 12
This is because of the exterior angle theorem.
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There are red and green apples in a crate.
Vladimir79 [104]

Answer:

28

Step-by-step explanation:

60 apples by 5 is 12. When Georgia put some more apples in we now have to divide 60 by 3 which is 20 and then multiply that by 2 which is 40. So, if the ratio was 1:3 it would be 20:60 but it is 2:3 so the answer is 40:60. Do 40 minus 12 to find how much Georgia added. 40 minus 12 is 28.

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3 years ago
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Air is being pumped into a spherical balloon at a rate of 5 cm^3/min. Determine the rate at which the radius of the balloon is i
Romashka-Z-Leto [24]

0.08 cm/min

Step-by-step explanation:

Given:

\dfrac{dV}{dt}=5\:\text{cm}^3\text{/min}

Find \frac{dr}{dt} when diameter D = 20 cm.

We know that the volume of a sphere is given by

V = \dfrac{4\pi}{3}r^3

Taking the time derivative of V, we get

\dfrac{dV}{dt} = 4\pi r^2\dfrac{dr}{dt} = 4\pi\left(\dfrac{D}{2}\right)^2\dfrac{dr}{dt} = \pi D^2\dfrac{dr}{dt}

Solving for \frac{dr}{dt}, we get

\dfrac{dr}{dt} = \left(\dfrac{1}{\pi D^2}\right)\dfrac{dV}{dt} = \dfrac{1}{\pi(20\:\text{cm}^2)}(5\:\text{cm}^3\text{/min})

\:\:\:\:\:\:\:= 0.08\:\text{cm/min}

3 0
3 years ago
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