Answer:
H. the number of orchestra seat is 900
Step-by-step explanation:
Step one:
let the number of orchestra seat be x
and balcony seat be y
cost of orchestra= $50 each
cost of balcony =$40 each
total tickets= 1500
x+y= 1500----------1
amount earned= $69000
50x+40y=69000--------2
The system of equation for the situation is
x+y= 1500----------1
50x+40y=69000--------2
from 1, x=1500-y
put this in equation 2
50(1500-y)+40y=69000
75000-50y+40y=69000
-10y=69000-75000
-10y=-6000
divide both sides by -10
y=-6000/-10
y=600
put y= 600 in equation 1
x+600= 1500
x=1500-600
x=900
Hello!
First, let's write the problem.
![3\left(x-2\right)+2\left(x+1\right)=-14](https://tex.z-dn.net/?f=3%5Cleft%28x-2%5Cright%29%2B2%5Cleft%28x%2B1%5Cright%29%3D-14)
Apply the distributive property on the left side of the equation.
![=3x-6+2x+2](https://tex.z-dn.net/?f=%3D3x-6%2B2x%2B2)
Add like terms.
![=5x-4](https://tex.z-dn.net/?f=%3D5x-4)
Let's plug that in into the original equation.
![5x-4=-14](https://tex.z-dn.net/?f=5x-4%3D-14)
Add 4 to both sides.
![5x-4+4=-14+4](https://tex.z-dn.net/?f=5x-4%2B4%3D-14%2B4)
![5x=-10](https://tex.z-dn.net/?f=5x%3D-10)
Divide both sides by 5.
![\frac{5x}{5}=\frac{-10}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B5x%7D%7B5%7D%3D%5Cfrac%7B-10%7D%7B5%7D)
Our final answer would be,
![x=-2](https://tex.z-dn.net/?f=x%3D-2)
You can feel free to let me know if you have any questions regarding this!
Thanks!
- TetraFish
It's a 4th degree polynomial since the largest degree (exponent) is 4
4.0833 sorry if i’m wrong luv did you want it in a fraction?