Answer=65 pairs of shoes
Given the data, the following equation can be made where x is equal to the number of shoes sent to the outlet mall.
845=4x+4x+4x+x
845=13x
divide both sides by 13
65=x
65 pairs of shoes were sent to the outlet mall
Answer: the rate uphill is 6 mph.
The rate downhill is 10 mph
Step-by-step explanation:
Let x represent the rate at which the jogger ran uphill.
The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph
Time = distance/speed
if the jogger can runs 5 miles downhill, then the time taken to run downhill is
5/(x + 4)
At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is
3/x
Since the time is the same, it means that
5/(x + 4) = 3/x
Cross multiplying, it becomes
5 × x = 3(x + 4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 12/2
x = 6
The rate downhill is 6 + 4 = 10 mph
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C^2+(2/3)
2^2+(2/3)
4+(2/3)
4 2/3
Final answer: 4 2/3 or 14/3 as an improper fraction
