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:
7.2% increase (rounded up to the nearest tenth of a percent)
Step-by-step explanation:
The price of the notebook today is $3.70
The price of the same notebook (original price) yesterday was $3.45
Increase in price = $3.70 - $3.45 = $0.25
Percentage increase = (Increase ÷ original price) × 100
Percentage increase =
× 100 = 7.2% (rounded up to the nearest tenth of a percent)
Answer:
They're the same angle. I would look up transversals so you could understand it a bit more. I'll upload a picture of a transversal in my answer but you should search it anyways.
Anyways,
To solve, you set 160 equal to the other side.
160 = 3x + 10
150 = 3x
x = 50
Answer: 2²/₃ pounds
Step-by-step explanation:
There are 8 pounds of fruit.
These are to be used to make 3 equal sized fruit salad.
The weights of each fruit salad will therefore be:
= Pounds of fruit/ Number of fruit salads
= 8 / 3
= 2²/₃ pounds