Answer:
C
Step-by-step explanation:
Total Work hours = 3 1/2 hours
One routine physical routine requires: 1/3 hours.
Number of routines can be completed = Total work hours / Time required for one physical routine
=
= 10.5 routines.
In this case, we are unable to complete half a routine (0.5), so we will choose the highest possible whole number, in this case, its 10 routines.
Given:
To find:
The simplified expression by factoring.
Solution:
Let us factor the numerator:
31x can be written as 3x + 28x.
Take 3x common in 1st two terms and 7 common in next two terms.
Make sure the remaining terms in the both brackets must be same.
Now, take out common factor (4x + 1).
In the same way, factorize the denominator:
8x can be written as 4x + 4x.
Take 4x common in 1st two terms and 1 common in next two terms.
Make sure the remaining terms in the both brackets must be same.
Now, take out common factor (4x + 1).
Substitute the terms we found for numerator and denominator:
Cancel the common factors.
The simplified expression is .