Total ratio=9+11=20
number of girls=11/20*400
=220
$6.00
Show your work in the attachment. Down below
Answer:
100+x
Step-by-step explanation:
Peter starts out with 100 dollars and then gets X more meaning we have to add X to what he originally had and that looks like this 100+x
I hope this helps and please don't hesitate to ask if there is anything still unclear!
We are given a system of equations,
![\begin{cases}-x+2y=0\\y=-2\\ \end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D-x%2B2y%3D0%5C%5Cy%3D-2%5C%5C%20%5Cend%7Bcases%7D)
This will translate into a 2x2 matrix of coefficients (because 2 equations and 2 unknowns),
![\begin{bmatrix}-1&2\\0&1\\ \end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D-1%262%5C%5C0%261%5C%5C%20%5Cend%7Bbmatrix%7D)
The matrix will then be applied to the vector (lower dimensions on top),
![\begin{bmatrix}x\\y\\ \end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7Dx%5C%5Cy%5C%5C%20%5Cend%7Bbmatrix%7D)
And the result vector will be whats on the other side of equals sign,
![\begin{bmatrix}0\\-2\\ \end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D0%5C%5C-2%5C%5C%20%5Cend%7Bbmatrix%7D)
So to put everything together,
![\begin{bmatrix}-1&2\\0&1\\ \end{bmatrix}\begin{bmatrix}x\\y\\ \end{bmatrix}=\begin{bmatrix}0\\-2\\ \end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D-1%262%5C%5C0%261%5C%5C%20%5Cend%7Bbmatrix%7D%5Cbegin%7Bbmatrix%7Dx%5C%5Cy%5C%5C%20%5Cend%7Bbmatrix%7D%3D%5Cbegin%7Bbmatrix%7D0%5C%5C-2%5C%5C%20%5Cend%7Bbmatrix%7D)
Hope this helps :)
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