x = # of balcony seats
y = # of orchestra seats
We have to create a system of equations to solve this problem
x + y = 256
$8x + $12y = $2,716
We will solve this system of equations by elimination.
Multiply the first equation by -8
-8x - 8y = -2048
8x + 12y = 2716
Let's add the equations together
0 + 4y = 668
Simplify the left side
4y = 668
Divide both sides by 4
y = 167
We can subtract 167 from 257 to get the number of balcony seats.
257 - 167 = 90 balcony seats
There are 167 orchestra seats and 90 balcony seats
Answer:
x=0
Step-by-step explanation:
1/2(40+2x)=20
20+x=20
x=0
(I believe that s is the bisector, please correct me if I am wrong)
Answer:
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1- The formula for calculate the area of this rectangle is:

Where
is the length and
is the heigth.
2. Let's call identify the heigth with the variable
.
3. If the length is
longer than the heigth, you have:

4. Therefore, you can write the following polynomial expression:

5. If you know the value of the heigth, you can susbstitute it into the polynomial expression shown above and you will obtain the area.
Therefore, the answer is: 