Answer:
The maximum height of the prism is 
Step-by-step explanation:
Let
x------> the height of the prism
we know that
the area of the rectangular base of the prism is equal to
so
-------> inequality A
------> equation B
-----> equation C
Substitute equation B in equation C
------> equation D
Substitute equation B and equation D in the inequality A
-------> using a graphing tool to solve the inequality
The solution for x is the interval---------->![[0,12]](https://tex.z-dn.net/?f=%5B0%2C12%5D)
see the attached figure
but remember that
The width of the base must be 
meters less than the height of the prism
so
the solution for x is the interval ------> ![(9,12]](https://tex.z-dn.net/?f=%289%2C12%5D)
The maximum height of the prism is
Volume of the first aquarium = (12" x 13" x 14") = 2,184 inches³
Volume of the second aquarium = (32" x 34" x 35") = 38,080 inches³
The second aquarium has (38,080 / 2,184) = 17.44 times as much
volume as the first aquarium has.
So it'll take the hose 17.44 times as long to fill the second one
= (17.44) x (2 minutes) = 34.9 minutes.
Answer:
33
Step-by-step explanation:
3q + 3j
if q= 7 and j = 4
3(7) + 3(4) = 21 + 12 = 33
Answer: Costas gets $70 and Sheila gets $30
Step-by-step explanation:
Answer:
1. 48 seconds or 0.8 minutes per lap.
2. 1,008 seconds or 16.8 minutes to run 21 laps.
Step-by-step explanation:
1. Turn 4 minutes into seconds which is 240 then divide it by 5 and you'll get 48 seconds per lap. 48/60 to turn it into minutes = 0.8 minutes
2. use 48 seconds and times it by 21 which gets you 1,008 seconds, then divide that by 60 which gets you 16.8 minutes to run 21 laps.
