A) The volleyball reached its maximum height after 3 seconds.

Mathematics

1 answer:

Contact [7]3 years ago

4 0

<span>A) The volleyball reached its maximum height after 3 seconds.
</span><span>b) The maximum height of the volleyball was 23 feet.
</span>e) The volleyball was served for a height of 5 feet.

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Step-by-step explanation:

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3 years ago

How to solve the question

Scorpion4ik [409]

You have the equations set up correctly. I will use r and b as the variables to make it easier to follow.

12r + 8b = 70
20r + 12b = 110

First let's solve one of the equations for one of the variables.

12r = 70 - 8b

$r = \frac{70-8b}{12}$

Now plug that in for r in the second equation.

$20( \frac{70-8b}{12})+12b = 110$

Simplify

$20(70-8b)+144b=1320$

$1400-160b+144b=1320$

$-16b = -80$

b = 5 grams

Now plug 5 in for b in one of the original equations to find r.

12r + 8(5) = 70

12r = 30

r = 2.5 grams

So the red marbles weigh 2.5 grams, and the blue marbles weigh 5 grams.

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