Answer:

Step-by-step explanation:
Given


Required
Determine the percentage of the shaded cubes
First, we calculate the number of boxes:

Express as multiplication


This implies that there are 20 cubes in the box.
The percentage of the shaded cubes is:





<em>30% were shaded</em>
Answer:
2 gallons
Step-by-step explanation:
there are 16 cups in a gallon. if you have 30 cups for people, do
which you cant have 0.875 gallons of juice, so you need to round it to two gallons.
Answer:
No
Reasoning:
If something is a perfect cube, it is able to be put under a cube root (
) and will result in an integer (a non-decimal number > 0, basically).
So let's calculate
, and see if the result is an integer.
= 3.634.......
As you can see, the result is not an integer, therefore 48 is not a perfect cube.
Answer:
x³ + 7x² - 6x - 72
Step-by-step explanation:
Given
(x + 6)(x + 4)(x - 3) ← expand the second and third factor, that is
(x + 4)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) + 4(x - 3) ← distribute both parenthesis
= x² - 3x + 4x - 12 ← collect like terms
= x² + x - 12
Now multiply this by (x + 6) in the same way
(x + 6)(x² + x - 12)
= x(x² + x - 12) + 6(x² + x - 12) ← distribute both parenthesis
= x³ + x² - 12x + 6x² + 6x - 72 ← collect like terms
= x³ + 7x² - 6x - 72
Answer:
Geometric
Step-by-step explanation:
Given terms are {3, -1, 1/3, -1/9............}
If we have common difference between the terms then it is arithmetic
If we have common ratio between the terms then it is Geometric
Difference of 3 and -1 is 4
Difference of 1/3 and -1 is -4/3
Common difference it not same so it is not Arithmetic
Now we check common ratio
we divide second term by first term
first term is 3 and second term is -1

now we check with next two terms

common ratio is -1/3
So this is Geometric