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sergiy2304 [10]
3 years ago
11

A rope is divided into three pieces. One piece is 3 inches longer than the shortest piece and 5 inches shorter than the longest

piece. If the total of the combined pieces is 92 inches, how long is each piece?
Please show your work and explain how you got your answer!!
Mathematics
2 answers:
mart [117]3 years ago
6 0

Answer:

The answer is 22, 25, and 43

Step-by-step explanation:

I divided it by 3 and got 30 2/3 so took off the 2/3 and then took 5 off of one and added it to the longest one and then took 8 off the shortest one and added it to the longest one

Ilia_Sergeevich [38]3 years ago
3 0
<span>One piece is twenty seven inches long. The others are thirty inches, and thirty five inches. Let's say "A" is the shortest piece, and the base for the equation. The next piece is three inches longer, so we have A+3. The longest piece is five inches longer than the second, so we get A+3+5. To solve for "A" we have to simplify. A+(A+3)+(A+3+5)=3A+11. The total length is 92, so 3A+11=92. Subtract 11 from both sides to get "A" by itself: 3A+11+(-11)=92+(-11) to 3A=81. To solve divide both sides by 3: 3AĂ·3=81Ă·3 to A=27. (27)+3=30. (27)+3+5=35. To check, add the sums. 27+30+35=92 : that is a true statement.</span>
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Maru [420]

Answer:

6a) i- 2hrs 36mins  ii- 3hrs 12mins

b) car A≈ 76.9km/h  car B≈ 62.5km/h

c)------

7a) 35km

b) car A=75km  car B=60km

c) 30km

d) car A≈36mins  car B≈48mins

Step-by-step explanation:

6a) Using the graph follow the lines until they finish then go downwards until you get to the x-axis. The x-axis is going up by 12mins for each square.

b) Using the answer from a, you divide 200km by the time.

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∴ car A: 200/2.6≈ 76.92km/h

For car B 3hrs 12mins becomes 3.2 because 12mins/60mins=0.2

∴ car B: 200/3.2≈ 62.5km/h

7a) Using the graph go down from where the line of car A finished to meet car B. The y-axis is going up by 5km for each square.

b) Starting from the x-axis at 1 hour go upwards to see where you meet the car B line (60km) and car A line(75km). (sorry if that does not really make sense).

c) Difference from car A line to car B:

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d) Going across from 50km meet car A line and go down to see it has been travelling for approx. 36mins. Then continue across to car B line, go down to see it reached 50km at approx. 48mins.

Hope this helps.

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Answer:

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Step-by-step explanation:

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Got a little help from app called Gauthmath. It got concept videos and tutors. You can check it on Play Store and App Store. Really good app in my opinion.

<em>Hope </em><em>this </em><em>helps.</em><em> </em>:)

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