Alex practices playing the piano for 2 1/2 hours each week. If Alex practiced for a total of 35 hours, which expression could be used to determine the number of weeks he practiced?
1.B
2.A
3.A
4.D
5.A
6.B
7.B
8.D
9.A
10.A
11.B
12.B
13.D
14.B
15.C
16.B
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To determine the number of weeks Alex practiced, we can use the given information that he practices for 2 1/2 hours each week. We can set up an equation using proportionality:
Let "x" be the number of weeks Alex practiced.
We know that 2 1/2 hours per week is the same as 5/2 hours per week: 2 1/2 = 5/2.
Therefore, the equation becomes:
(x weeks) * (5/2 hours per week) = 35 hours
To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by (5/2):
(x weeks) = 35 hours / (5/2)
To divide fractions, we multiply the numerator by the reciprocal of the denominator:
(x weeks) = 35 hours * (2/5)
Canceling out the common factor of 5:
(x weeks) = 7 hours * 2
(x weeks) = 14 hours
So, the expression that could be used to determine the number of weeks Alex practiced is "14 hours."