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Lostsunrise [7]
4 years ago
7

randy made a business trip of 204 miles. he averaged 52 mph for the first part of the trip and 50 mph for the second part. if th

e trip took 4 hours, how long did he travel at each rate?
Mathematics
1 answer:
Yuliya22 [10]4 years ago
4 0

x+y = 4

x=4-y

52x+50y=204

52(4-y)+50y=204

208-52y+50y=204

208-2y=204

-2y=-4

y=2

x= 4-2=2


check 52*2=104

50*2 = 100

104+100=204

 so he traveled 2 hours at both 50 and 52 mph

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Z - (-9) is the same as z + 9. Subtracting a negative is the same as adding.

Therefore 
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is the same as
17 = z + 9

To get 'z' all by itself, we need to subtract 9 from both sides. We subtract 9 from both sides to undo the "plus 9" occurring to the 'z' on the right side.

17 = z + 9
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8 = z
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So the answer is z = 8

---------------------------

Check:

17 = z - (-9)
17 = 8 - (-9) ... replace z with 8
17 = 8 + 9
17 = 17
Answer checks out


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