To answer this question you will use ratios. The information given gives us a part to part ratio of 1 part vinegar for every 3 parts oil.
Because the total amount of furniture polish is 30 ounces, we will need to write one part vinegar to three parts oil as a part to part to whole ratio.
Use this information then and create an equivalent ratio with a total of 30 ounces. See below.
1 vinegar (x7.5) = 7.5 ounces
3 oil. (X7.5). = 22.5 ounces
4 total (x7.5). = 30 ounces
You will need 7.5 ounces of vinegar and a 22.5 ounces of oil.
Answer:
a
Step-by-step explanation:
Answer:
![\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-%5Cfrac%7B8%7D%7B%5Csqrt%7B117%7D%20%7D%20%5C%5C%5Cfrac%7B7%7D%7B%5Csqrt%7B117%7D%20%7D%5C%5C%5Cfrac%7B2%7D%7B%5Csqrt%7B117%7D%20%7D%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
We are required to find a unit vector in the direction of:
![\left[\begin{array}{c}-8\\7\\2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-8%5C%5C7%5C%5C2%5Cend%7Barray%7D%5Cright%5D)
Unit Vector, 
The Modulus of 
=
Therefore, the unit vector of the matrix is given as:
Answer:
Step-by-step explanation:
