Part 1: 4 quarts in a gallon
4 * 5 = 20 quarts
Part 2: 20 * 2 = 40
They will make $40.00
Draw a diagram to illustrate the problem as shown below.
Calculate the volume of the empty cone.
V₁ = (1/3)π*(6 in)²*(10 in) = 120π in³
Calculate the volume of the sphere.
V₂ = (4/3)π*(1.5 in)³ = 4.5π in³
The volume that can be filled with flavored ice is
V = V₁ - V₂ = 115.5π in³ = 362.85 in³
Answer:
The volume is 115.5π in³ or 362.9 in³ (nearest tenth)
Which polynomial is equal to (-3x^2 + 2x - 3) subtracted from (x^3 - x^2 + 3x)?
<h3><u><em>
Answer:</em></u></h3>
The polynomial equal to (-3x^2 + 2x - 3) subtracted from (x^3 - x^2 + 3x) is 
<h3><u><em>Solution:</em></u></h3>
Given that two polynomials are:
and 
We have to find the result when
is subtracted from 
In basic arithmetic operations,
when "a" is subtracted from "b" , the result is b - a
Similarly,
When
is subtracted from
, the result is:

Let us solve the above expression
<em><u>There are two simple rules to remember: </u></em>
- When you multiply a negative number by a positive number then the product is always negative.
- When you multiply two negative numbers or two positive numbers then the product is always positive.
So the above expression becomes:

Removing the brackets we get,

Combining the like terms,


Thus the resulting polynomial is found
The top half is called the numerator.
The bottom is called the denominator.
3x² + 8x - 3 = (3x - 1) (x + 3)