Answer:
Volume of the rectangular prism is cubic feet.
The number of small cubes required is 90.
Step-by-step explanation:
The rectangular prism has a length of feet, a width of 3 feet, and a height of feet.
Now, the volume of the rectangular prism will be cubic feet i.e. cubic feet. (Answer)
Now, the volume of the small unit cubes of side lengths of feet will be cubic feet.
So, the number of small cubes required to fill the large cube will be . (Answer)
Answer:
Simplifying
x + 5 = 9x2 + x + 1
Reorder the terms:
5 + x = 9x2 + x + 1
Reorder the terms:
5 + x = 1 + x + 9x2
Add '-1x' to each side of the equation.
5 + x + -1x = 1 + x + -1x + 9x2
Combine like terms: x + -1x = 0
5 + 0 = 1 + x + -1x + 9x2
5 = 1 + x + -1x + 9x2
Combine like terms: x + -1x = 0
5 = 1 + 0 + 9x2
5 = 1 + 9x2
Solving
5 = 1 + 9x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x2' to each side of the equation.
5 + -9x2 = 1 + 9x2 + -9x2
Combine like terms: 9x2 + -9x2 = 0
5 + -9x2 = 1 + 0
5 + -9x2 = 1
Add '-5' to each side of the equation.
5 + -5 + -9x2 = 1 + -5
Combine like terms: 5 + -5 = 0
0 + -9x2 = 1 + -5
-9x2 = 1 + -5
Combine like terms: 1 + -5 = -4
-9x2 = -4
Divide each side by '-9'.
x2 = 0.4444444444
Simplifying
x2 = 0.4444444444
Take the square root of each side:
x = {-0.666666667, 0.666666667}
Step-by-step explanation:
Answer:
2 quarts
Step-by-step explanation:
2 pints = 1 quart
so then 4 quart = 1 gallon so there are 2 quarts left.
Answer:
equivalent to
Step-by-step explanation:
Given ratio,
It can be written as
cancel common factor,
Answer:
Step-by-step explanation:
The range is the difference between maximum and minimum values of data set:
<u>The range is: </u>