The value of the slope increases and becomes closer to infinity
Answer:
x = 5 , y = 15
Step-by-step explanation:
You can solve this using substitution.
Let the quantity of cheese wafers be denoted by x and the quantity of chocolate wafers denoted by y
2x + 1y = 25
x + y = 20
These two equations are the answer to part A, (remember to include the above prompt which says what x and y denote).
For part B I used substitution because it was more applicable to the question then addition or elimination.
ACTUAL WORK
Set 2x + 1y = 25 equal to x
x = 25 - y / 2
Replace x with y in the second equation
(25 - y / 2) + y = 20
And solve for y
y = 15
Since we know what y is we can replace y in the second equation and find what x is
x + 15 = 20
Solve for x
x = 5
The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>
<em><u>Recall:</u></em>
Volume of a spherical shape = ![\frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3)
Volume of a rectangular prism = ![l \times w \times h](https://tex.z-dn.net/?f=l%20%5Ctimes%20w%20%5Ctimes%20h)
<em><u>Given:</u></em>
Diameter of basketball = 9.5 in.
Radius of the ball = 1/2 of 9.5 = 4.75 in.
Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)
Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft
- First, find the volume of the basketball:
Volume of ball = ![\frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%204.75%5E3%5C%5C)
Volume of basketball = ![448.92 $ in^3](https://tex.z-dn.net/?f=448.92%20%24%20in%5E3)
- Convert to
![ft^3](https://tex.z-dn.net/?f=ft%5E3)
![1728 $ in.^3 = 1 $ ft^3](https://tex.z-dn.net/?f=1728%20%24%20in.%5E3%20%3D%201%20%24%20ft%5E3)
<em>Therefore,</em>
- Volume of basketball =
![\frac{448.92}{1728} = 0.26 $ ft^3](https://tex.z-dn.net/?f=%5Cfrac%7B448.92%7D%7B1728%7D%20%3D%200.26%20%24%20ft%5E3)
- Find the volume of the office (rectangular prism):
Volume of the office = ![20 \times 18 \times 12 = 4,320 $ ft^3](https://tex.z-dn.net/?f=20%20%5Ctimes%2018%20%5Ctimes%2012%20%3D%204%2C320%20%24%20ft%5E3)
- Number of basket ball that will fill the office = Volume of office / volume of basketball
Number of basket ball that will fill the office = ![\frac{4,320}{0.26} = 16,615](https://tex.z-dn.net/?f=%5Cfrac%7B4%2C320%7D%7B0.26%7D%20%3D%2016%2C615)
Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.
Learn more here:
brainly.com/question/16098833