You have two unknown rates, so we need to develop two equations to solve for these unknowns (based on the information given on the problem statement):
5x + 10y = 725
x + y = 100
By substitution, we get:
5x + 10(100 - x) = 725
5x + 1000 - 10x = 725
-5x = 725 - 1000
-5x = -275
x = -275/-5 = 55
100 - 55 = 45
Thus:
The mechanic who worked for 5 hours charged his time at $55/hr, and the mechanic who worked for 10 hours charged his time at $45/hr.
To verify, plug and chug the results back into the original equations:
5(55) + 10(45) = 725
275 + 450 = 725
725 = 725 [OK]
55 + 45 = 100 [OK]
3/4 - 1/2 = 3/4 - 2/4 = 1/4
7/8 - 2/3 = 21/24 - 16/24 = 5/24
Answer:
5/32 or .15625
Step-by-step explanation:
5/8=.625x.25=5/32 or .15625
Answer:
3.6
Step-by-step explanation:
sine theta=3.2/5.1
theta=sine^-1(3.2/5.1)
theta=38.86230987
sine 38.86230987=x/5.7
x=sine 38.86230987(5.7)
x=3.576470588
Rounded to the nearest tenth is 3.6
