Distance = speed * time
d = st
The sports car travels d distance for t time at speed, s, 95 mph until it overtakes the family
car.
The equation for the sports car is
d = 95t
The family car travels the same distance, d, but since it left 4.5 hours earlier than the sports car, it travels for t + 4.5 time until it is overtaken. It travels at speed, 35 mph.
The equation for the family car is
d = 35(t + 4.5)
We solve the two equations as a system of equations.
d = 95t
d = 35(t + 4.5)
Since d = d, set the right sides of the equations above equal to each other.
95t = 35(t + 4.5)
95t = 35t + 157.5
60t = 157.5
t = 2.625
The answer is 2.625 hours, or 2 hours, 37 minutes, and 30 seconds.
Check:
In 2.625 hours, the sports car travels: 95 mph * 2.625 h = 249.375 miles
The family car traveled 2.625 hours plus the extra 4.5 hours, or 7.125 hours.
In 7.125 hours, the family car travels 35 mph * 7.125 h = 249.375 miles.
The cars have traveled the same distance 2.625 hours after the sports car left, so our answer is correct.
Answer: The employee's expected earnings is 78.5.
Step-by-step explanation:
Since we have given that
$ Probability
0 0.07
25 0.12
50 0.17
75 0.14
100 0.28
125 0.18
150 0.04
We need to find the employee's expected earnings.
As we know the formula for "Expectation":
Hence, the employee's expected earnings is 78.5.
S/<span>πr +r =l
might be -r
</span>
Answer:
0.25 x 160 = 40. So 40 is 25% of 160
Step-by-step explanation:
