The given matrix equation is,
.
Multiplying the matrices with the scalars, the given equation becomes,
![\left[\begin{array}{cc}1.5x&9\\12&6\end{array}\right] +\left[\begin{array}{cc}y&4y\\3y&2y\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right] \\](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1.5x%269%5C%5C12%266%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dy%264y%5C%5C3y%262y%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dz%26z%5C%5C6z%262%5Cend%7Barray%7D%5Cright%5D%20%20%5C%5C%20%20)
Adding the matrices,
![\left[\begin{array}{cc}1.5x+y&9+4y\\12+3y&6+2y\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right] \\](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1.5x%2By%269%2B4y%5C%5C12%2B3y%266%2B2y%5Cend%7Barray%7D%5Cright%5D%20%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dz%26z%5C%5C6z%262%5Cend%7Barray%7D%5Cright%5D%20%20%5C%5C%20)
Matrix equality gives,

Solving the equations together,

We can see that the equations are not consistent.
There is no solution.
Answer:
112+24x
Step-by-step explanation:
2(16+(10*4)+(x*12))
solve the inner bracket
2(16+40+12x)
solve this bracket
2(56+12x)
solve this now
112+24x
Let's compare the cost of both the centers.
<u>Cost of Center A:</u>
One time charge of $495 in one year.
<u>Cost of Center B:</u>
- Flat $25 dollar sign up fee
- $15 per month, so
dollars a year - $5 per aerobic class, so
dollars a year (given that Billy goes to class once a week) (<em>Note: There are 52 weeks in a year</em>)
Total cost =
dollars
Hence, Center B would cost
dollars cheaper.
ANSWER: Least expensive club for Billy to use for a year is Center B
Answer:
a. 
b. 
Step-by-step explanation:
The formula for calculate the area of a rectangle is:

Where "l" is the lenght and "w" is the width
a. We know that the kitchen measures 3.75 meters by 4.2 meters; then we can say that:

Therefore, substituting these values into the formula, we get that the area of the kitchen is:

b. The area of the living room is one and a half times (1.5 times) that of the kitchen, this is:

Therefore, the total of the living room and the kitchen is:

Answer:
H=12
Step-by-step explanation:
12-8=4
hope this helps!!