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:
he longest side of a right triangle, opposite the right angle.
Step-by-step explanation:
Answer:
Alicia is 18years
Quentin is 14years
Rosalyn is 16years
Step-by-step explanation:
Let the age of Alicia be x
Let the age of Quentin be y
Let the age of Rosalyn be z
If the sum of the siblings’ ages, in years, is 48 then;
x+y+z = 48.... 1
If Rosalyn is two years older than Quentin then;
z =y+2 ..... 2
Also if Quentin is four years younger than Alicia then;
y = x-4 ... 3
From 3:
x = y+4 ... 4
Substitute 2 and 4 into 1 to have:
y+4+y+y+2 = 48
3y + 6= 48
3y = 48-6
3y= 42
y = 14
Since x= y+4
x = 14+4
x = 18
Since z = y+2
z = 14+2
z = 16year
This means that;
Alicia is 18years
Quentin is 14years
Rosalyn is 16years
The answer is it’s 5 pie over 4
Answer:
<u>252 square inches is the surface area of Josiah's cereal box.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Height of the box = 11 inches
Length of the box = 8 inches
Width of the box = 2 inches
2. What is the surface area of Josiah's cereal box?
Let's recall the surface area of a rectangular prism:
Surface area = 2 (width * length + height * width + length * height)
Surface area = 2 (2 * 8 + 11 * 2 + 8 * 11)
Surface area = 2 (16 + 22 + 88)
Surface area = 2 * 126
<u>Surface area = 252 inches²</u>
