Answer:
4 hours
Step-by-step explanation:
The general formula for distance, rate and time is:
d = rt, where distance is the product of rate multiplied by time
Given that one train is moving at a rate of 70 mph and one is moving at a rate of 62 mph in the opposite direction, the combined distance over time is equal to 528 miles. Using the variable 't' for time:
70t + 62t = 528
Combine like terms: 132t = 528
Divide both sides by 132: 132t/132 = 528/132 or t = 4 hours
Start by finding her hourly rate. 32.50/5 = 6.5
Next times 6.5 * 8 = 52
Working 8 hours she would make $52
I wish I made that much.
That easy 56.8.895 because when u add all the steps u find u answer so don’t let it fool u
Answer:
![X = \begin{bmatrix}1&3\\ 2&4\end{bmatrix}](https://tex.z-dn.net/?f=X%20%3D%20%5Cbegin%7Bbmatrix%7D1%263%5C%5C%202%264%5Cend%7Bbmatrix%7D)
Step-by-step explanation:
The question we have at hand is, in other words,
- where we have to solve for the value of ![X](https://tex.z-dn.net/?f=X)
If we have to isolate
here, then we would have to take the inverse of the following matrix ...
... so that it should be as follows ... ![\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}^{-1}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D4%262%5C%5C%20%5C%3A1%261%5Cend%7Bbmatrix%7D%5E%7B-1%7D)
Therefore, we can conclude that the equation as to solve for "
" will be the following,
- First find the 2 x 2 matrix inverse of the first portion,
=
=
=
At this point we have to multiply the rows of the first matrix by the rows of the second matrix,
,
- Simplifying this, we should get ...
... which is our solution.
Answer:
![\sqrt{43}](https://tex.z-dn.net/?f=%5Csqrt%7B43%7D)
Step-by-step explanation: