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danni51
30.03.2020 •
Mathematics
Type A is 8 feet tall and grows at a rate of 18 inches per year. Type B is 9 feet tall and grows at a rate of 17 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.
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Ответ:
12 years.
Step-by-step explanation:
Le x represent number of years.
We have been given that type A is 8 feet tall and grows at a rate of 18 inches per year. So growth of type A in x years would be
inches.
1 feet = 12 inches.
8 feet = 8*12 inches = 96 inches.
9 feet = 9*12 inches = 108 inches.
The total height of type A would be
inches.
We are also told that type B is 9 feet tall and grows at a rate of 17 inches per year. So growth of type B in x years would be
inches and total height of type B would be
inches.
To find the years when both trees will be of the same height, we will equate height of both trees and solve for x as:
Therefore, after 12 years the height of these trees will be the same.
Ответ:
Step-by-step explanation:
Let
x-------> quantity contained in the new bottle
we know that
so