Yesterday, Jack drove 43.5 miles. He used 11 gallons of gasoline. What is the unit rate for miles per gallon?
1 answer:
Answer:
the unit rate for miles per gallons =
Step-by-step explanation:
Let x be the unit rate for miles per gallon.
Given:
Jack drove 43.5 miles. He used 11 gallons of gasoline.
Find the unit rate for miles per gallon?
Jack used 11 gallons of gasoline for 43.5 miles.
11 gallons = 43.5 miles
The unit rate for miles per gallon is
unit rate of gallons = total miles divided by total used gallons of gasoline
Therefore, the unit rate for miles per gallons is 3.95 miles.
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Answer:
The base is decreasing at 2 cm/min.
Step-by-step explanation:
The area (A) of a triangle is given by:
(1)
Where:
b: is the base
h: is the altitude = 10 cm
If we take the derivative of equation (1) as a function of time we have:
We can find the base by solving equation (1) for b:
Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:
Therefore, the base is decreasing at 2 cm/min.
I hope it helps you!