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LUCKY_DIMON [66]
3 years ago
5

A toy box has a volume of 30 cubic feet. It is 5 feet wide And 2 feet long. What is the height of the toy box

Mathematics
2 answers:
zhenek [66]3 years ago
8 0
The answer would be 3 hope this helps
otez555 [7]3 years ago
7 0
V = a * b * c
V = 30 
a = 5
b = 2 
c = ?
30 = 5*2*c
30 = 10*c
c = 30/10 = 3
c = 3
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Mix III: 3 lbs peanuts, 4 lbs cashews, 3 lbs pecans.

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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.

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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.

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