Answer: The required number of books that Ruben had before purchases is 50.
Step-by-step explanation: Given that Ruben bought 6 new books for his collection that increased his collection by 12%.
We are to find the number of books that Ruben had before purchases.
Let x denotes the number of books that Ruben had before purchases.
Then, according to the given information, we have

Thus, the required number of books that Ruben had before purchases is 50.
(1/3)x =16 (x represents the total number of books he has)
x=48
As both are moving in the same direction ,both<span> will travel the </span>same distance<span> till catch up time --</span><span>d</span>
The equation of a cricle is

h being the x coordinate of the given point and k being the y coordinate of the given point (r also being the radius).
Now we have to plug the points into the equation

now just simplify the the equation
32 performance = $295.55
1 performance = 299.55 ÷ 32 = $9.24
4 performance = $9.24 x 4 = $36.96
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Answer: It will cost $36.96.
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