<span>2x2=4x2=8x2=16x2=32x2=64x2=128x5=640 which is 2*2*2*2*2*2*2*5</span>
Are there choices? If there are, you should list them because there are some equivalents.
![\left[\begin{array}{cc}4&16\\12&3\end{array}\right] \\ \left[\begin{array}{cc}-68&16\\21&3\end{array}\right] = x \\ \left[\begin{array}{cc}4&-68\\12&21\end{array}\right] = y \\](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D4%2616%5C%5C12%263%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-68%2616%5C%5C21%263%5Cend%7Barray%7D%5Cright%5D%20%3D%20x%20%5C%5C%20%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D4%26-68%5C%5C12%2621%5Cend%7Barray%7D%5Cright%5D%20%3D%20y%20%5C%5C%20)
I'm assuming that you can solve these things. The top determinant comes to -180. The x value comes to - 540. When divided by the top one x = 3
The bottom determinant (y) comes to 900 and when divided by - 180 makes y = - 5. The checks out with actually solving the system of equations some other way.
Answer:
6
Step-by-step explanation:
A painter mixes 2 1/2 pints (2.5 pints) of yellow paint with 4 pints of red paint to make a certain shade of orange paint. The ratio of yellow paint to red paint is 2.5:4. In order to find the pints of yellow paint needed to be mixed with 10 pints of red paint, we will use conversion fractions.
10 red pints × (2.5 yellow pints/ 4 red pints) ≈ 6 pints (we round off to 1 significant figure)