Answer: 
Step-by-step explanation:
The volume of a cube can be found with this formula:

Where "s" is the lenght of any edge of the cube.
The formula for calculate the volume of a rectangular prism is:

Where "l" is the lenght, "w" is the width and "h" is the height.
We need to find the volume of a cube box:

To find the volume of the shipping box, first we must convert the mixed number to an improper fraction:

Then the volume of the shipping box is:

Now, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube. This is:

Henrietta solved a rational equation by multiplying both sides by
.She did not find the least common multiple of the denominators .If she had find the least common denominator which is 3x(x+2) then the question can have been simplified in more simpler form.
Henrietta can have got rid of denominator and then use the distributive rule .
So the first option
A:She could use the least common multiple of the denominator is right
Answer:
7 reservoirs
Step-by-step explanation:
1 yards = 3 feet => 3.5 yards = 10.5 feet
To determine how many numbers of reservoirs to reserve 90000, we first need to determine the capacity of each reservoirs (how much liquid one reservoir can contain) - which is equal to the volume.
The formula to calculate the volume of a circular cylinder is:
- <em>Volume of cylinder = Area of base x Height </em>
<em />
The base of this cylinder is a circle with radius equal to 4 feet. (
)
=> The are of the base is =
= 3.14 x 4^2 = 50.24 feet square
=> The volume of cylinder = Area of base x Height
=> The volume of one cylinder = 50.24 x 10.5 = 527.52 Cubic foot
We have: 1 cubic foot = 28.317 liters
=> 1 liter = 1/28.317 cubic foot
=> 90000 liters equal to: 90000/28.317 = 3,178.303 cubic foot
The number of reservoirs needed to contain 90000 liters of liquid is:
3,178.303/527.52 = 6.025
=> So that it needs 7 reservoirs to store all 90000 liters of liquid.
The relative frequency of it landing on tails is 20/30 or 2/3 or 0.667
Answer: 31.4 mm
Step-by-step explanation:
C=2πr
2(3.14)(5)
2(15.7)
31.4