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Oksi-84 [34.3K]
3 years ago
5

Luke says you can always add and always multiply to join groups. Is he correct?

Mathematics
2 answers:
sergeinik [125]3 years ago
7 0

Suppose G is a finite group having elements natural numbers.

→→→  If you add any two members of the group, you will get member of the group,because a group satisfy closure property with respect to addition.

For example, 2 ∈N,3∈N→2+3=5∈N

→→Similarly, if you multiply any two members of the group, you will get member of the group,because a group satisfy closure property with respect to multiplication.

  For example,: 2 ∈N,3∈N→2×3=6∈N

Yes, He is Correct.

dezoksy [38]3 years ago
5 0
Yes, because only equal groups can be multiplied

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Step-by-step explanation:

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Let the number of red fish and blue fish in the large tank are x and y respectively.

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Since in each tank ratio of the red fish to blue fish is 333 : 444

That means x : y = 333 : 444

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Similarly x' : y' = 333 : 444

⇒ \frac{x'}{y'}=\frac{333}{444}

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So (x + y) : (x' + y') = 464646 : 555

\frac{x+y}{x'+y'}=\frac{464646}{555}

Now we replace the values of x and y' from equation (1) and equation (2)

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\frac{x}{y'}=\frac{232323}{370}

\frac{y'}{x}=\frac{370}{232323}

\frac{y'}{x}=\frac{10}{6279}

Therefore, ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279

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