ANSWER
The correct answer is  .
.
<u>EXPLANATION</u>
We were given the matrix equation;
![\left[\begin{array}{cc}n-1&6\\-19&m+3\end{array}\right] +\left[\begin{array}{cc}-1&0\\16&-8\end{array}\right] =\left[\begin{array}{cc}10&6\\-3&40\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dn-1%266%5C%5C-19%26m%2B3%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%260%5C%5C16%26-8%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D10%266%5C%5C-3%2640%5Cend%7Barray%7D%5Cright%5D) .
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We must first simplify the Left Hand Side of the equation by adding corresponding entries.
![\left[\begin{array}{cc}n-1+-1&6+0\\-19+16&m+3-8\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dn-1%2B-1%266%2B0%5C%5C-19%2B16%26m%2B3-8%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D10%266%5C%5C-3%2640%5Cend%7Barray%7D%5Cright%5D) .
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That is; 
![\left[\begin{array}{cc}n-2&6\\-3&m-5\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dn-2%266%5C%5C-3%26m-5%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D10%266%5C%5C-3%2640%5Cend%7Barray%7D%5Cright%5D) .
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Since the two matrices are equal, their corresponding entries are also equal. we equate corresponding entries and solve for m and n.
This implies that;

We got this equation from row one-column one entry of both matrices.

Also, the row three-column three entries of both matrices will give us the equation;


Hence the correct answer is  .
.
The correct option is option 2
 
        
             
        
        
        
Answer:
4.25 yards
Step-by-step explanation:
38.25/9=4.25
 
        
                    
             
        
        
        
Answer: A , B, C, E
Step-by-step explanation:√4 = 2√5 = 2.24√5.5 = 2.36√6 = 2.45√8 = 2.83√9 = 3
A)√5 < 2.3<√62.24 < 2.3 < 2.45 True
B)√5 < 2.4<√62.24 < 2.4 < 2.45 True
C)√4 < √5 < √5.52 < 2.24 < 2.36 True
D)√8 < 3 < √92.83 < 3 < 3 False
E)√8 < 2.9 < √92.83 < 2.9 < 3 True
F)√4 < 4.5 < √52 < 4.5 < 2.24 False 
 
        
             
        
        
        
Explanation:
1 gallon = 8 pints
2 gallons = 8 pints + 8 pints = 16 pints
3 gallons = 8 pints + 8 pints + 8 pints = 24 pints
<u>Ratio table:</u>
Number of pints         Number of gallons
              8                                     1
             16                                     2
             24                                    3
Ratio of pints to gallons = 8 : 1
<u>Convert pints to gallons:</u>
From the table, 
8 pints = 1 gallon
1 pint =  gallon
 gallon
<u>Equation:</u>
From the table, 8p = g