3 divide by 5 is 0.6 and you move the decimal two places to the right and your percentage is 60%
Answer:
![A=\begin{bmatrix}6 & 5 & 3\\ 2 & 3 & 4\\ 2 & 2 & 3\end{bmatrix}](https://tex.z-dn.net/?f=A%3D%5Cbegin%7Bbmatrix%7D6%20%26%205%20%26%203%5C%5C%202%20%26%203%20%26%204%5C%5C%202%20%26%202%20%26%203%5Cend%7Bbmatrix%7D)
![B=\begin{bmatrix}25\\ 18\\ 35\end{bmatrix}](https://tex.z-dn.net/?f=B%3D%5Cbegin%7Bbmatrix%7D25%5C%5C%2018%5C%5C%2035%5Cend%7Bbmatrix%7D)
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}](https://tex.z-dn.net/?f=A%3D%5Cbegin%7Bbmatrix%7D6%20%26%205%20%26%203%5C%5C%202%20%26%203%20%26%204%5C%5C%202%20%26%202%20%26%203%5Cend%7Bbmatrix%7D)
![B=\begin{bmatrix}25\\ 18\\ 35\end{bmatrix}](https://tex.z-dn.net/?f=B%3D%5Cbegin%7Bbmatrix%7D25%5C%5C%2018%5C%5C%2035%5Cend%7Bbmatrix%7D)
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}](https://tex.z-dn.net/?f=AB%3D%5Cbegin%7Bbmatrix%7D6%20%26%205%20%26%203%5C%5C%202%20%26%203%20%26%204%5C%5C%202%20%26%202%20%26%203%5Cend%7Bbmatrix%7D%5Cbegin%7Bbmatrix%7D25%5C%5C%2018%5C%5C%2035%5Cend%7Bbmatrix%7D)
![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}](https://tex.z-dn.net/?f=AB%3D%5Cbegin%7Bbmatrix%7D6%5Ccdot%20%5C%3A25%2B5%5Ccdot%20%5C%3A18%2B3%5Ccdot%20%5C%3A35%5C%5C%202%5Ccdot%20%5C%3A25%2B3%5Ccdot%20%5C%3A18%2B4%5Ccdot%20%5C%3A35%5C%5C%202%5Ccdot%20%5C%3A25%2B2%5Ccdot%20%5C%3A18%2B3%5Ccdot%20%5C%3A35%5Cend%7Bbmatrix%7D)
![AB=\begin{bmatrix}345\\ 244\\ 191\end{bmatrix}](https://tex.z-dn.net/?f=AB%3D%5Cbegin%7Bbmatrix%7D345%5C%5C%20244%5C%5C%20191%5Cend%7Bbmatrix%7D)
Therefore matrix AB gives the total number of lbs of each nut required to fill the order.
For this case we have the following definition:
d = v * t
Where,
d: distance
v: speed
t: time
Clearing the time we have:
t = d / v
Substituting values:
t = 1505/420
t = 3,583 hours
Answer:
Flight time hours:
t = 3,583 hours
Answer: Line 2
Step-by-step explanation:
Look at the dots on the coordinate grid. The line of fit is a line around those dots, so in this case, the majority of the dots around line 2.