Answer:
41
Step-by-step explanation:
20, 22, 23, 23, 26, 27, 34
175/7=25
175+x/8=27
175+x=216
x= 41
Your answer would be an almighty
0 jk
It would be 226.08ft^3
Answer:
50 stars
Step-by-step explanation:
1 × 50 is 50 so you get 50 stars
Answer:
x should be cut at 2221.5 to minimize the total combined area, and at 5050 to maximize it.
Step-by-step explanation:
Let x be the length of wire that is cut to form a circle within the 5050 wire, so 5050 - x would be the length to form a square.
A circle with perimeter of x would have a radius of x/(2π), and its area would be

A square with perimeter of 5050 - x would have side length of (5050 - x)/4, and its area would be

The total combined area of the square and circles is

To find the maximum and minimum of this, we just take the 1st derivative, and set it to 0


Multiple both sides by 8π and we have



At x = 2221.5:
= 392720 + 500026 = 892746 [/tex]
At x = 0, 
At x = 5050, 
As 892746 < 1593906 < 2029424, x should be cut at 2221.5 to minimize the total combined area, and at 5050 to maximize it.
Answer:
165
Step-by-step explanation:
Let o and b represent the numbers of orchestra and balcony tickets bought, respectively.
o + b ≥ 250 . . . . at least 250 tickets will be bought
o = b - 80 . . . . . there will be 80 fewer orchestra than balcony bought
Substituting for o, we have ...
(b -80) +b ≥ 250
2b ≥ 330 . . . . . . . add 80
b ≥ 165 . . . . . . . . .divide by 2
The least number of balcony tickets the club could buy is 165.