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patriot [66]
3 years ago
14

What is the GCF of 48m5n and 81m2n2

Mathematics
2 answers:
noname [10]3 years ago
8 0
The GCF is 3m^2n <===
gladu [14]3 years ago
6 0

Answer:

3m^2n

Step-by-step explanation:

Since,

48m^5n=3\times 2\times 2\times 2\times 2\times m\times m\times m\times m\times m\times n

81m^2n^2=3\times 3 \times 3\times 3\times m\times m\times n\times n

Thus,

\text{GCF of }48m^5n\text{ and }81m^2n^2=3\times m\times m\times n

=3m^2n

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The sum of three consecutive numbers is 27. The smallest of the numbers is​
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8

Step-by-step explanation:

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olya-2409 [2.1K]

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3 years ago
The snack shop makes 3 mixes of nuts in the following proportions.
Julli [10]

Answer:

A=\begin{bmatrix}6 & 5 & 3\\ 2 & 3 & 4\\ 2 & 2 & 3\end{bmatrix}

B=\begin{bmatrix}25\\ 18\\ 35\end{bmatrix}

Step-by-step explanation:

It is given that the snack shop makes 3 mixes of nuts in the following proportions.

Mix I: 6 lbs peanuts, 2 lbs cashews, 2 lbs pecans.

Mix II: 5 lbs peanuts, 3 lbs cashews, 2 lbs pecans.

Mix III: 3 lbs peanuts, 4 lbs cashews, 3 lbs pecans.

they received an order for 25 of mix I, 18 of mix II, and 35 of mix III.

We need to find the matrices A & B for which AB gives the total number of lbs of each nut required to fill the order.

                      Mix I             Mix II              Mix III

peanuts             6                  5                    3

cashews            2                  3                    4

pecans              2                   2                    2

A=\begin{bmatrix}6 & 5 & 3\\ 2 & 3 & 4\\ 2 & 2 & 3\end{bmatrix}

B=\begin{bmatrix}25\\ 18\\ 35\end{bmatrix}

The product of both matrices is

AB=\begin{bmatrix}6 & 5 & 3\\ 2 & 3 & 4\\ 2 & 2 & 3\end{bmatrix}\begin{bmatrix}25\\ 18\\ 35\end{bmatrix}

AB=\begin{bmatrix}6\cdot \:25+5\cdot \:18+3\cdot \:35\\ 2\cdot \:25+3\cdot \:18+4\cdot \:35\\ 2\cdot \:25+2\cdot \:18+3\cdot \:35\end{bmatrix}

AB=\begin{bmatrix}345\\ 244\\ 191\end{bmatrix}

Therefore matrix AB gives the total number of lbs of each nut required to fill the order.

8 0
3 years ago
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