Answer:
2 1/7 pieces
Step-by-step explanation:
A factory makes rectangular sheets of cardboard, each with an area 2 1/2 square feet. Each sheet of cardboard can be cut into smaller pieces of cardboard measuring 1 1/6 square feet. How many smaller pieces of cardboard does each sheet of cardboard provide?
Each sheet of cardboard = 2 1/2 square feet
Each smaller pieces of cardboard = 1 1/6 square feet
Number of smaller pieces of cardboard per sheet of cardboard = Each sheet of cardboard ÷
Each smaller pieces of cardboard
= 2 1/2 square feet ÷ 1 1/6 square feet
= 5/2 ÷ 7/6
= 5/2 × 6/7
= (5*6) / (2*7)
= 30/14
= 15/7
= 2 1/7 pieces
Number of smaller pieces of cardboard per sheet of cardboard = 2 1/7 pieces
Answer:
No idea
Step-by-step explanation:
Let W = width of package
Let H = height of package
Let L = length of package
The perimeter cab be one of the following:
P = 2(L + W), or
P = 2(L + H)
The perimeter of the cross section cannot exceed 108 in.
When the width is 10 in, then
2(L + 10) <= 108
L + 10 <= 54
L <= 44 in
When the height is 15 in, then
2(L + 15) <= 108
L + 15 <= 54
L <= 39 in
To satisfy both of these conditions requires that L <= 39 in.
Answer: 39 inches
This would be 525 / 0.70 = $750 Answer
Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.
Step-by-step explanation:
The volume of a cone can be calculated with this formula:

Where "r" is the radius and "h" is the height.
We know that the radius is half the diameter. Then:

We know the volume and the radius of the conical container, then we can find "h":

The diameter and height doubled are:

Now the radius is:
And the container capacity is

Then, to compare the capacities, we can divide this new capacity by the original:
Therefore, the container's capacity would be 8 times its original capacity.