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pochemuha
3 years ago
14

After spending some time looking for his pump, Marlon pumps up an uninflated balloon, pumping air into it at a constant rate. He

ties the balloon with a string to prevent the air from escaping.
Which graph could represent this scenario?

Mathematics
1 answer:
galina1969 [7]3 years ago
8 0

Answer:

Graph D

Step-by-step explanation:

Initially, Marlon was looking for his pump. Thus, no air was pumped into the balloon until he got the pump. On getting the pump, he inflated the balloon with air at a constant rate, after which he tied it with a string to prevent the air from escaping.

The analysis is that, at the time he decided to inflate the balloon till he got a pump, the volume of air in the balloon is zero with respect to time. Pumping air at a steady rate into the balloon increases the volume of air flowing into it gradually and steadily.

When the volume got to a definite amount, he stopped pumping air and tied with a string. Thus, the volume of air in the balloon remains constant.

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two bike riders ride around in a circular path. The first rider completes one round in 15 minutes and the second rider completes
katrin2010 [14]

Answer:

Rider 1 does one round in 15 min, and will complete another in each consecutive multiple of 15 min

Rider 2 does one round in 18 min, and will complete another in each consecutive multiple of 18 min

Assuming that they start together, they will complete another round together in a time that is both multiples of 15min and 18 min.

Then we need to find the smallest common multiple between 15 and 18.

To smallest common multiple between two numbers, a and b, is equal to:

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Now, the greatest common factor between 15 and 18 can be found if we write those numbers as a product of prime numbers, such as:

15 = 3*5

18 = 2*3*3

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Then the smallest common multiple will be:

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Answer:

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Answer:

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