Hey guys maths today
2 answers:
You might be interested in
There are two separate equations for this question that use the same variable.
Mary took 7 hours to complete a trip with traffic. This would use the following expression:
Mary took 4 hours to complete the same trip without traffic. The average rate of speed was 27 mph faster than the trip with traffic. This uses the following expression:
Both trips had the same distance. From the information provided, we can set up the following equation:
x represents the average rate of speed on both trips.
Distribute 4 to each term in parentheses:
Subtract 4x from both sides:
Divide both sides by 3 to get x by itself:
The average speed for the slower trip is 36 mph.
We can plug this value into the first equation:
Mary lives 252 miles away from the mountains.
Mary took 7 hours to complete a trip with traffic. This would use the following expression:
Mary took 4 hours to complete the same trip without traffic. The average rate of speed was 27 mph faster than the trip with traffic. This uses the following expression:
Both trips had the same distance. From the information provided, we can set up the following equation:
x represents the average rate of speed on both trips.
Distribute 4 to each term in parentheses:
Subtract 4x from both sides:
Divide both sides by 3 to get x by itself:
The average speed for the slower trip is 36 mph.
We can plug this value into the first equation:
Mary lives 252 miles away from the mountains.
Answer:
The surface area of the prism is 72 square units.
Step-by-step explanation:
In order to calculate the surface area of the prism we must calculate the area of each face of the prism. To better visualize it we can look at the picture below. We must calculate the area of every face in the picture, so we have:
surface area = 2*[(1/2)*3*4] + 3*5 + 4*5 + 5*5
surface area = 12 + 15 + 20 + 25
surface area = 72 square units
