First, it would help to put 46 and 2/3 into an improper fraction: 140/3.
Then, since this is a percent, we put that improper fraction over 100: (140/3)/100 = 140/300.
Finally, we multiply this answer by 28 since "of" means multiply:
(140/300) * 28 = 196/15 = 13 1/15
12 1/4- 1 1/2 >>> Convert fractions to decimals:
12.25- 1.5 = 10.75 >>> Convert decimals back to fractions:
10 3/4 >>> Add miles from the morning: 10 + 10 3/4 = 20 3/4 miles
12 times / 5 seconds * (60 seconds / 1 min) = 144 times / min
Answer:

Step-by-step explanation:
Given
![A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-2%266%5C%5C3%265%5Cend%7Barray%7D%5Cright%5D)
Required
Determine the determinant
For a two by two matrix, A such that:
![A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D)
The determinant |A| is:

So, in
![A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-2%266%5C%5C3%265%5Cend%7Barray%7D%5Cright%5D)
The determinant is:


