According to the dimensions given, the volume of paper in the recycling bin is of 6800 cubic inches.
<h3>What is the volume of a rectangular prism?</h3>
It is given by the multiplication of the base area by the height, that is:

In this problem, we have that the measures in square inches and inches, respectively, are given by:

Hence:

The volume of paper in the recycling bin is of 6800 cubic inches.
More can be learned about the volume of a rectangular prism at brainly.com/question/17223528
Answer:
D.
Step-by-step explanation:
1) the domain is x∈[0;+∞);
2) the solution is:

3) finally, the solution with the domain is:
x∈[0;100].
First, you add the two ratio numbers to figure out what to divide your 28 cans of soda by.
3=4=7
Next, you divide this amount into your total amount of cans of soda.
28/7=4.
This means that for each one in the ratio, there is 4 cans. So you multiply both numbers in the ratio by 4.
3*4 = 12
4*4=16
So, your final answer is 12:16, or 12 cans of soda in one group, and 16 cans of soda in the other.
Answer:
Step-by-step explanation:
(a + b + c)³ = a³ + b³ + c³ + 3a²b + 3a²c + 3ab² + 3cb² +3 ac² + 3bc² + 6abc
a = 5a ; b =y ; c = z
(5x + y + z)(5z + y + z )(5z + y +z) = (5x + y +z)³
= (5x)³ + y³ +z³ + 3(5x)²y + 3(5x)²z + 3(5x)*y² + 3*z*y² + 3*5x*z² + 3*y*z² + 6*5x*y*z
= 125x³ + y³ +z³ + 3*25x²y + 3*25x²*z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz
= 125x³ + y³ + z³ + 75x²y + 75x²z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz
Answer:
See explanation
Step-by-step explanation:
Let
be the number of students and
be the number of adults on the show.
1. Tickets cost $15 for students, so x student tickets cost $15x.
Tickets cost $25 for adults, so y adult tickets cost $25y.
Total cost of all tickets is $(15x + 25y).
The charity show is conducted in order to raise at least $3,750, thus

2. The auditorium can accommodate up to 180 spectators, hence

3. We get the system of inequalities:

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise 