Step-by-step explanation:
Let the dimension of the box be x, y and z.
Volume of the box V = xyz
Since the box is a rectangular box, the base will be a square of equal length.
V = x²h where h is the height of the box
If the sum of the length, width, and height equals 180, then x+x+h = 180
2x+h = 180
h = 180-2x
Substitute h = 180-2x into the volume of the box
V = x²(180-2x)
V = 180x²-2x³
The box has its maximum volume when 
Since 2x+h = 180
Substitute x = 60 into the equation ang get the height h
2(60)+h = 180
120+h = 180
h = 180-120
h = 60
Hence the dimension of the rectangular box is 60 by 60 by 60
The price increase was $12.
60
x 0.2
---------
12
Answer:
2.5
Step-by-step explanation:
Answer:
Wanda and Dave will catch each other in 54 seconds after Dave starts walking.
Step-by-step explanation:
Let Wanda and Dave catch each other when x be the time after Dave starts walking and y be the distance covered by them
It is given that Wanda started walking along a path 27 seconds before Dave and the constant speed of Wanda is 3 feet per second.
.... (1)
The constant speed of Dave is 4.5 feet per second.
.... (2)
Equate equation (1) and (2).
Divide both sides by 1.5.
Therefore, Wanda and Dave will catch each other in 54 seconds after Dave starts walking.
8 rotations. first must convert 50 ft into inches. 50x12=600 in. If you know the distance and the length of rotation, divide the length (600) by the length of each rotation (75) and you get 8
