Answer:
Maximum Volume = 29,659.5 cubic inches
Step-by-step explanation:
We can write the perimeter as 2*(x+h) and this is equal to 117
So

The volume is 
Plugging the expression for h, we have:

The max volume can be found when this differentiated is equal to 0, or dV/dx=0

x can't be 0, so we take x = 39
and thus h=58.5-x = 58.5-39=19.5
Max Volume = 
The quantity of each type of seats sold are as follows:
- Movie and a dinner seat = 200
According to the question,there are four times as many 3D, x seats as Dinner and a Movie, y seats.
That is, x = 4y
Also, total seats
= (x) + (y) + (z) = 3000...….............eqn(1)
Also, If the theater brings in $53,000 when tickets to all 3000 seats are sold.
- 20x + 35y + 15z = 53000...........eqn(2)
By substituting 4y for x in equations 1 and 2; we have;
<em>5y + z = 3000</em>..…........eqn(3) and
<em>115y + 15z = 53000</em>.........eqn(4)
By solving equations 3 and 4 simultaneously; we have;
y = 200 and z = 2000
and since x = 4y
x = 800
The quantity of each type of seats sold is as follows:
- Movie and a dinner seat = 200
Read more:
brainly.com/question/12413726
3n² - 8n + 4
3n² - 6n - 2n + 4
(3n - 2)(n - 2)
Answer:
46.7%
Step-by-step explanation:
Given:
Total number of students in Mrs. Verner's class = 15
Number of girls = 8
To find: percentage are boys
Solution:
Percentage of boys = ( Number of boys / Total number of students ) × 100
Number of boys = Total number of students - Number of girls = 15 - 8 = 7
So,
Percentage of boys =
× 100 = 46.7%
Answer:
8x
Step-by-step explanation: