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
Let's say that x represents hours that Elizabeth volunteers over 1 week. Katie volunteers x+3 and Siobhan x-1 hours per week. The equation that arises from condition in text is:
3*(x+3) = 3*(x + x-1)
x+3 = 2*x - 1
2*x - x= 3+1
x=4.
Elizabeth volunteers 7 hours
Katie volunteers 4 hours
Siobhan volunteers 3 hours
The relationship is not proportional because the boys and girls are in different grades and they are in different activities.
Answer:
Option C) is correct
That is t=StartFraction p Over s Subscript 1 Baseline minus s Subscript 2 Baseline EndFraction
It also can be written as 
Step-by-step explanation:
Given equation can be written as below:

Now to solve the equation for t:

Taking common term t outside on RHS we get


Rewritting the above equation as below

Therefore option C) is correct
That is t=StartFraction p Over s Subscript 1 Baseline minus s Subscript 2 Baseline EndFraction
It also can be written as 
The domain is the corresponding value of x
so, as shown at the graph :
The line starts at x =