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katen-ka-za [31]
3 years ago
7

A water tank already contains 55 gallons of water when Baxter begins to fill it. Water flows into the tank at a rate of 8 gallon

s per minute. Write a linear equation to model this situation. How long it will take to get 127 gallons of water
Mathematics
1 answer:
Roman55 [17]3 years ago
6 0

Answer: 8x+55=127

Step-by-step explanation: it would take 9 mins because there’s already 55 gallons of water in the tank so you subtract that from 127 which is 72 then you divide 72 by 8 and get 9

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Maham has a number of apples. She could share my apples equally among 3, 4, or 5 people. What is the smallest number of apples M
evablogger [386]
<h3>Answer:  60</h3>

The value 60 is the LCM of 3, 4 and 5.

==================================================

Explanation:

LCM = lowest common multiple

To find the LCM, we list out the prime factorization of each number

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  • 4 = 2*2
  • 5 = 5*1

Ignoring the factors of 1, we have the unique primes of 2, 3, 5. There are 2 copies of '2', one copy of '3', and one copy of '5'. So we multiply this out to get 2*2*3*5 = 4*15 = 60

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If she had 60 apples, and wanted to give them to 3 friends, then each friend gets 60/3 = 20 apples

If instead, she had 4 friends, then each friend gets 60/4 = 15 apples.

Or if she had 5 friends, then each friend gets 60/5 = 12 apples.

For any of those three cases, there are no leftovers or remainders.

Any multiple of 60 will work (eg: 120 or 180), but 60 is the smallest such number that allows her to divide the apples this way without any leftovers.

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3 years ago
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
qaws [65]
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