It takes 3/8 of a gallon of paint to paint each dog house. How many doghouses can I paint with 6 gallons of paint?
1 answer:
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ANSWER
m < -2
EXPLANATION
We want to find the solution set for m in:
First, collect like terms:
Now, divide both sides by -3. When you divide an inequality by a negative number, <em>the sign changes direction</em>:
This means that all values of m must be less than -2.
<em>None of the options contains the correct solution set.</em>
Let's say that the speed of the freight train is and the one of the passenger train is
.
MPH means every hour the freight train covers
miles., which means in 3h it will have covered 3 times as much:
mi.
Following the same logic, MPH means every hour the passenger train covers
miles, meaning after 3h it will have covered 3 times as much as well:
mi.
Now, having expressed those distances and speeds algebraically, we find the difference between the two distances covered after 3h, knowing it will be equal to 240:
Knowing this, we can surely affirm that the freight train is travelling at 40MPH and the passenger train is travelling three times as fast, 120MPH.