The diagram below shows the number of ice cream cones sold in a day at a local ice cream shop.

Mathematics

2 answers:

V125BC [204]3 years ago

7 0

Answer:

Step-by-step explanation:

Pie3 years ago

4 0

B-60

EXPLANATION:

If he sold 8 vanilla, 28 double scoop and 12 chocolate chip, it means he sold 12 chocolate chip out of 48. So he sold 12/48 chocolate chip, which equals 1/4. If we write it in percentages, we will see that 1/4•100%=25%. Now we need to know how many chocolate chips would be sold in next 240 cones. In conclusion, we need to calculate 25% of 240. So if 240 is 100% and X is 25%, then 240•25=100X. If we solve that equation, we will see that X=60, so 25% of 240 equals 60. In conclusion, the right answer is B.

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-x=-y+2 and 3y+4=2x solve using matrices

MissTica

$\begin{cases}-x=-y+2\\3y+4=2x\end{cases}\implies\begin{cases}x-y=-2\\2x-3y=4\end{cases}$

In matrix form, this is

$\begin{bmatrix}1&-1\\2&-3\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-2\\4\end{bmatrix}$

The coefficient matrix has determinant

$\begin{vmatrix}1&-1\\2&-3\end{vmatrix}=-3+2=-1\neq0$

so it has an inverse, which is

$\begin{bmatrix}1&-1\\2&-3\end{bmatrix}^{-1}=\begin{bmatrix}3&-1\\2&-1\end{bmatrix}$

Multiply both sides by the inverse matrix:

$\begin{bmatrix}3&-1\\2&-1\end{bmatrix}\begin{bmatrix}1&-1\\2&-3\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}3&-1\\2&-1\end{bmatrix}\begin{bmatrix}-2\\4\end{bmatrix}$