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2 years ago

2/3 of the product of 3/8 and 16

1 answer:

4 0

That statement can be written in a single equation, lets do so and apply operations step by step, getting 2/3 out of a number (or numbers) means to multiply by 2/3:
(2/3)(3/8)(16)
= (2*3)/(3*8)(16)
= (6/24)(16)
= (1/4)(16)
= 16/4
= 4
that is the solution

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Step-by-step explanation:

Step 1

In this step we first find the explicit formula for the height of the ball.To find the explicit formula we use the fact that the bounces form a geometric sequence. A geometric sequence has the general formula , $a_{n+1}=ar^{n-1}.$ In this case the first term $a_o=4$ , the common ratio $r=0.85$ since the ball bounces back to 0.85 of it's previous height.

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