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:
I would say yes. Now I'm not in your type of school grading system, but if you try to get as many 90s and 100s in your homework for the next week, you would probably get there.
Step-by-step explanation:
Good luck! I know you will do great.
Following the generalized form that you wrote, you know that a negative exponent sends its base to the denominator (or numerator if it's in the denominator already). Or to put it formally as you wrote it, for any nonzero real number a and natural number n, <span>the negative rule of exponents states that </span>
.
So,
.
The given ratio is:
To find the unit cost per ounce, we can use proportions as follows:
Now, solve for x:
The cost per ounce (unit cost) is then $0.12/oz
They met after (4 hours).
(60+65)*x=500<span />
