Pls help me on the question k12
1 answer:
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The K-team can paint a whole house in 60 minutes (super fast!!!). How much of a house can the team paint in 1 minute? The K-team can paint 1/60 of a house per minute.
The C-team can paint a whole hose in 80 minutes. How much of a house can the team paint in 1 minute? The C-team can paint 1/80 of a house per minute.
Suppose both teams paint for the same amount of time -- call the time t (minutes).
Combine the work they do to paint 1 whole house:
Multiply all the terms by the Least Common Denominator, LCD = 240.
Now, can you finish it? By the way, the answer is not a whole number! Hint: it will be between 30 and 40 minutes.
The C-team can paint a whole hose in 80 minutes. How much of a house can the team paint in 1 minute? The C-team can paint 1/80 of a house per minute.
Suppose both teams paint for the same amount of time -- call the time t (minutes).
Combine the work they do to paint 1 whole house:
Multiply all the terms by the Least Common Denominator, LCD = 240.
Now, can you finish it? By the way, the answer is not a whole number! Hint: it will be between 30 and 40 minutes.
Answer:
The smallest positive integer solution to the given system of congruences is 30.
Step-by-step explanation:
The given system of congruences is
where, m and n are positive integers.
It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as
Now, we can say that m>n because m and n are positive integers.
For n=1,
19 is not divisible by 5 so m is not an integer for n=1.
For n=2,
The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is
Therefore the smallest positive integer solution to the given system of congruences is 30.