Your answer is -8, tell me if you need help trying to figure these out.
Answer:
49 litres of petrol are needed to travel from town X to town Y and back.
Step-by-step explanation:
Well, first off, the variable X and Y, as well as the distance given (124 km) aren't important pieces of information in this equation. They're only there to throw you off and confuse you.
25L of <em>p</em> (petrol) to make the entire journey. After the engine has been tuned, it requires 2% less <em>p</em> than before it was tuned.
2%/100 = 0.02
0.02 * 25L = 0.5L
25L - 0.5L = 24.5L
Now, don't forget, at the end of the word problem we're asked how many litres of <em>p</em> would be required to travel from <em>x</em> to <em>y</em> <em><u>AND BACK</u></em>. So it's not only 24.5L, it's double that (24.5 * 2 = 49L)
Good luck!!
The matrix equation that represents this situation is
![\left[\begin{array}{ccc}3&2&0\\1&0&4\\3&1&1\end{array}\right]*\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}13.50\\16.50\\14.00\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%262%260%5C%5C1%260%264%5C%5C3%261%261%5Cend%7Barray%7D%5Cright%5D%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D13.50%5C%5C16.50%5C%5C14.00%5Cend%7Barray%7D%5Cright%5D%20)
Use technology to find the inverse of matrix A:
![A^{-1}= \left[\begin{array}{ccc}-\frac{2}{5}&-\frac{1}{5}&\frac{4}{5}\\ \frac{11}{10}&\frac{3}{10}&-\frac{6}{5}\\\frac{1}{10}&\frac{3}{10}&-\frac{1}{5}\end{array}\right]](https://tex.z-dn.net/?f=A%5E%7B-1%7D%3D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-%5Cfrac%7B2%7D%7B5%7D%26-%5Cfrac%7B1%7D%7B5%7D%26%5Cfrac%7B4%7D%7B5%7D%5C%5C%0A%5Cfrac%7B11%7D%7B10%7D%26%5Cfrac%7B3%7D%7B10%7D%26-%5Cfrac%7B6%7D%7B5%7D%5C%5C%5Cfrac%7B1%7D%7B10%7D%26%5Cfrac%7B3%7D%7B10%7D%26-%5Cfrac%7B1%7D%7B5%7D%5Cend%7Barray%7D%5Cright%5D%20)
Multiplying A inverse by B, we get the solution matrix
[tex]\left[\begin{array}{ccc}2.50\\3\\3.50\end{array}\right][\tex]
Answer:
2
Step-by-step explanation:
<span>First set: 7, 24, 25.
Square 7, 24 and 25.
Add together the squares of 7 and 24.
Compare this sum to the square of 25. </span>
