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
Answer:
No. It is an obtuse triangle.
Step-by-step explanation:
If c^2>a^2+b^2, then the triangle is obtuse. Since 24^2 + 7^2 is 625, and the square root of 625 is 25, that means 26>25. This proves that the triangle is obtuse.
Answer:
y=5x
Step-by-step explanation:
(y2-y1)/(x2-x1)
(5-10)/(1-2) = -5/-1
m=5
y=mx+b
(2,10)
10=5(2)+b
10=10+b
b=0
Answer:
x≤9/2
Step-by-step explanation:
8x+15≤51
Subtract 15
8x+15-15≤51-15
8x+≤36
Divide by 8
8x/8≤36/8
x≤9/2
