There are a couple of ways to think about this.
1) Weight the speed by the time and compute the weighted average.
(60*2.5 + 75*1.5)/(2.5 + 1.5) = 65.625
Her average rate of speed is 65.625 mph.
2) Consider distance and time.
distance = speed * time
distance₁ = speed₁ * time₁
distance₂ = speed₂ * time₂
total distance = distance₁ + distance₂
total time = time₁ + time₂
And the average speed is given by
average speed = (total distance)/(total time)
Using the above formulas, we have
distance₁ = 60 mi/h * 2.5 h = 150 mi
distance₂ = 75 mi/h * 1.5 h = 112.5 mi
total distance = 150 mi + 112.5 mi = 262.5 mi
total time = 2.5 h + 1.5 h = 4.0 h
average speed = (262.5 mi) / (4.0 h) = 65.625 mi/h
Bette's average rate of speed is 65.625 mph.
This can be written as...
(1/2)/(1/4) = h/1
Then you solve all of the fractions by multiplying them by 4 to make them intergers;
4(1/2)/4(1/4) = 2/1 = h/1
This means h is equal to 2.
Hope this helps! :)
Answer:
x = 13 1/2
Step-by-step explanation:
16x -12x+0=54
combine like terms
4x + 0 = 54
4x = 54
divide each side by 4
4x/4 = 54 /4
x = 54/4
x = 13 2/4
x = 13 1/2
(7,2) is the answer.
There you go.
Answer:
7
Step-by-step explanation:
you would chose 7 because it has more and less value