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:
8.12 is the answer
Step-by-step explanation:
He needs 36 cookies.
First do 20 * .27 for the first twenty
then do 16 * .17 for the other 16 cookies
Add 5.4 + 2.72 = 8.12
Answer:
You would need to sell 100 of each
Step-by-step explanation:
$5 times 100 people equals $500.
$10 times 100 people equals $1,000.
$1,000+$500=1,500
I hope this helped!
Answer:
x axis and y axis divide the coordinate plane into four quadrants.
Step-by-step explanation:
If one coordinate is zero, then the point is located on the x-axis or the y-axis. If y coordinate is zero, then the point is located on the y-axis. If both coordinates are zero, then the point represents the origin.
Answer:
-(6ap³)
Step-by-step explanation:
We have to find the quotients of

We take the common 2a² p from the numerator
= 
= -(6ap³)
Therefore, the quotient after division will be -(6ap³)