Answer:
A*B= ![\left[\begin{array}{cc}705&80\\121&14 \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D705%2680%5C%5C121%2614%20%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Given A=
= B
Finding A*B means multiplying the first row with the first column and first row with the second column would give the first row elements. The second ro0w elements are obtained by multiplying the second row with the 1st column and second row with the second column.
so A*B= ![\left[\begin{array}{cc}5*41+ 25*20&5*6 + 25*2\\ 1*41+4*20 & 1*6+ 4*2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%2A41%2B%2025%2A20%265%2A6%20%2B%2025%2A2%5C%5C%201%2A41%2B4%2A20%20%26%201%2A6%2B%204%2A2%5Cend%7Barray%7D%5Cright%5D)
Now multiply and add the separate elements of the matrix A*B=
![\left[\begin{array}{cc}205+500&30+50\\41+80&6+8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D205%2B500%2630%2B50%5C%5C41%2B80%266%2B8%5Cend%7Barray%7D%5Cright%5D)
A*B= ![\left[\begin{array}{cc}705&80\\121&14 \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D705%2680%5C%5C121%2614%20%5Cend%7Barray%7D%5Cright%5D)
b. The 1st element of the 1st row shows the salaries of the managers and 2nd element of the 1st row the salaries of associates at the restaurant . The second row 1 st element shows the benefits of the managers and 2nd element the benefits of the associates at the food truck.
c. The total cost of salaries for all employees (managers and associates) at the restaurant = 705 + 80 = 785
Total cost of benefits for all employees at the food truck= 121 + 14= 135
<span>x = Joe's age and </span><span>y = James's age
</span><span>Joe is 10 years older than James - equation - x = y + 10
</span><span>In 8 years twice Joe's age will equal three times James's age - equation -
2(x+8) = 3(y+8)
</span>
<span>2(x+8) = 3(y+8) </span>
<span>2(y + 10 +8) = 3(y+8) { substitute y + 10 for x </span>
<span>2(y + 18) = 3(y + 8) </span>
<span>2y + 36 = 3y + 24 </span>
<span>12 = y </span>
<span>Joe is 22 and James is 12.</span>
-3.375 or -3.4 or -3.38 all the same answer
The answer to this question is letter C) By segment addition, DC plus BD is equal to BC. Point D is located at the middle of segment BC. Therefore BC is just equal to BD plus DC.
<span>Now we can prove BC2 = BA2+CA2 by using the Pythagorean theorem.</span>