The dependent variable would be b (affected by the change of n) and the independent variable would be n (affects b). The equation would be
b = 12n.
If x represents the length of the box, then 42-x will be the girth. Since the largest area for a given girth is that of a square, the side length of the square cross section is (42 -x)/4.
The volume as a function of package length is then
.. v(x) = x((42-x)/4)^2
This has a maximum at x=14. The corresponding volume is 686 in^3.
A volleyball league organizer collected $2,040 for both divisions of volleyball teams. The Blue division costs $160 per team and the Red division cost $180 per team. How many teams will play in each division.
<h3><u>Answer:</u></h3>
6 teams will play in each division
<h3><u>
Solution:</u></h3>
Given that volleyball league organizer collected $2,040 for both divisions of volleyball teams
The blue division costs $160 per team
The Red division cost $180 per team.
Let the number of blue teams be "b"
Let the number of red teams be "r"
Total cost = number of blue teams x cost of blue division per team + number of red teams x cost of red division per team
Total cost = 160b + 180r
2040 = 160b + 180r
Assuming both divisions have the same number of teams, we substitute b = r = x
2040 = 160x + 180x
2040 = 340x
x = 6
So 6 teams will play in each division
Answer:
3/4
Step-by-step explanation:
7/28 have blue eyes
So 28-7=21
21/28 don't have blue eyes
21/28 simplified=3/4
Answer: 
Step-by-step explanation:

if it matters then simply further...
4 + \sqrt{4i} = 