This one is worded oddly, but I think it's going to be:
(2x)/19
Lets look at the information we have:-
$7.50 per hour
How many hours to earn $116.25?
To answer this we will divide. Lets do it:-
116.25 ÷ 7.50 = 15.5
15 and a half hours.
CHECK OUR WORK:-
15.5 × 7.50 = 116.25
We were RIGHT!!
So, to earn $116.25 when getting paid $7.50 per hour you would need to work for 15 and a half hours.
Hope I helped ya!!!
I believe this question logically tells us to find the value of w. The two equations are already equated. Since there is 1 unknown and 1 equation, the system is solvable. The solution is as follows:
5/(6w+21) = -1/3(2w - 9)
5/(6w+21) = -1/(6w - 27)
Cross multiplying the terms:
5(6w - 27) = -1(6w +21)
30w - 135 = -6w - 21
30w + 6w = -21 + 135 = 114
36w = 114
w = 114/36
w = 19/6 or 3.167