Answer:
10 cm
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = 4/3πr³
The volume of a cone is given by the formula ...
V = 1/3πr²h
The ratio of the volume of the cone to that of the sphere is ...
Vcone/Vsphere = (1/3πr²h)/(4/3πr³) = h/(4r)
In order for the ratio to have a value of 1, we must have ...
h = 4r
The height of the cone must be 4×2.5 cm = 10 cm to fit all of the ice cream.
Answer:
X=-7/3
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
10x^2(3x^2 - 5x) Remove the brackets (Distributive Property)
10*3*x^2 * x^2 - 5x * 10x^2
30 x^(2 + 2) - 5*10x^(2+1)
30x^4 - 50x^3
Answer:
8 months for cost to be same, cost will be $408
Step-by-step explanation:
x = months
176 + 29x = 0 + 51x
176 = 22x
8 = x
176 + (29*8) = 408
0 + (51*8) = 408
Answer:
12 boxes per hour.
Step-by-step explanation:
Jake's family packed 22 boxes in 1 5/6 hours (that is, 1 hour plus 5/6 of a hour: 1 + 5/6 = (6+5)/6 = 11/6 hours).
So, to know the average number of boxes packed per hour, we can do a rule of three: If in 11/6 hours they packed 22 boxes, in 1 hours they packed X boxes.
22 boxes -> 11/6 hours
X boxes -> 1 hour
22/X = 11/6
X = 6 * 22 / 11 = 12
So, they packed an average of 12 boxes per hour.
