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.
The answer is 5 apples :)
7x +7y + 7 hope this helps as an expansion :)
Answer:
22900
Step-by-step explanation:
multiply 350 by 6 and get 2100
subtract 2100 from 25k and get 22900
Answer:
15.13cm
Step-by-step explanation:
From that above question:
We are told that:
Lateral surface area of a right circular cone : πr√r² + h²
We are give the following parameters:
Lateral surface area = 236.64cm²
Radius = 4.75cm
We are to find the height
Making h the subject of the formula
h = √[(A/r)² - πr²]/π
h = √[(236.64/4.75)²- π ×4.75²]/π
h = 15.12975 cm
Approximately to the nearest hundredth = 15.13cm
