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Mandarinka
13 days ago
10

A monkey has filled in a 3 x 3 grid with the numbers 1, 2,...,9. A cat writes down the three numbers obtained by multiplying the

numbers in each horizontal row. A dog writes down the three numbers obtained by multiplying the numbers in each vertical column. Can the monkey fill in the grid in such a way that the cat and dog obtain the same set of three numbers? What if the monkey writes the numbers 1, 2, ...,25 in a 5 x 5 grid? Or 1, 2, ..., 121 in a 11 x 11 grid? Can you find any conditions on n that guarantee that it is possible or any conditions that guarantee that it is impossible for the monkey to write the numbers 1, 2, ...,na in an n x n grid so that the cat and the dog obtain the same set of numbers?

Mathematics
1 answer:
Svet_ta [9.5K]13 days ago
4 0
A detailed response to your question is included in the attached documents.
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Answer:

"Ensure that one of them is a match"

Step-by-step explanation:

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26 days ago
Explain the steps for dividing decimals. Write three or four sentences.
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Response:

Step-by-step explanation:

Shift the decimal points in both the divisor and the dividend.

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4 0
29 days ago
Read 2 more answers
Allan is ordering a set of rational numbers that includes positive values, negative values, fractions, and decimal numbers. How
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Arrange them starting from the smallest to the largest.
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1 month ago
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To work with the repeating decimals, note that since there are two digits repeating, you will be using a 1 followed by two zeros, which is 100. This factor will be important for subsequent calculations.

Let’s denote the repeating decimal as x.

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Now, if you multiply this equation by 100, you can write it on top of the previous equation.
This results in:

100x = 21.212121...
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Next, set up a subtraction by taking the second equation from the first:

100x = 21.212121...
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x = 7/33

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