3x+2y=5w is your answer so your main/real answer is 5w
This problem, as written, requires a bit of guessing regarding your intentions. My interpretation is that you want to do this division:
2
----------
1 6/7
If that's correct, here's what to do: rewrite 1 6/7 as 13/7 (an improper fraction).
Then divide:
2
-------- This is equivalent to the multiplication (2/1)(7/13) = 14/13 (answer)
13/7
For this case we have the following equation:
w = || F || • || PQ || costheta
Where,
|| F ||: force vector module
|| PQ ||: distance module
costheta: cosine of the angle between the force vector and the distance vector.
Substituting values:
w = (60) * (100) * (cos (45))
w = 4242.640687 lb.ft
Answer:
The work done pushing the lawn mower is:
w = 4242.640687 lb.ft