Answer:
C. 80in^2
Step-by-step explanation:
12*3 for the area of both sides of the H. 12*3= 36, and since there are two we multiply 36*2= 72
For the middle we multiply 4*2=8
72+8= 80
Answer:
where is the dot, I Bileve it is no.
Answer:
![Ratio = \frac{3}{2}](https://tex.z-dn.net/?f=Ratio%20%3D%20%5Cfrac%7B3%7D%7B2%7D)
Step-by-step explanation:
See attachment for complete question.
We start by solving for the equation of the graph (The graph shows a linear equation)
Represent pencils with x and pen with y
From the graph, we have that:
![(x_1,y_1) = (6,4)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%286%2C4%29)
![(x_2,y_2) = (12,8)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%2812%2C8%29)
Solve for slope (m)
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
![m = \frac{8 - 4}{12- 6}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B8%20-%204%7D%7B12-%206%7D)
![m = \frac{4}{6}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B4%7D%7B6%7D)
![m = \frac{2}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B2%7D%7B3%7D)
The equation is calculated using:
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29)
Where
![m = \frac{2}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B2%7D%7B3%7D)
![(x_1,y_1) = (6,4)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%286%2C4%29)
![y - 4 = \frac{2}{3}(x - 6)](https://tex.z-dn.net/?f=y%20-%204%20%3D%20%5Cfrac%7B2%7D%7B3%7D%28x%20-%206%29)
![y - 4 = \frac{2}{3}x - \frac{2}{3} * 6](https://tex.z-dn.net/?f=y%20-%204%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%20-%20%5Cfrac%7B2%7D%7B3%7D%20%2A%206)
![y - 4 = \frac{2}{3}x - \frac{2 * 6}{3}](https://tex.z-dn.net/?f=y%20-%204%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%20-%20%5Cfrac%7B2%20%2A%206%7D%7B3%7D)
![y - 4 = \frac{2}{3}x - \frac{12}{3}](https://tex.z-dn.net/?f=y%20-%204%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%20-%20%5Cfrac%7B12%7D%7B3%7D)
![y - 4 = \frac{2}{3}x - 4](https://tex.z-dn.net/?f=y%20-%204%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%20-%204)
Add 4 to both sides
![y - 4 +4= \frac{2}{3}x - 4 + 4](https://tex.z-dn.net/?f=y%20-%204%20%2B4%3D%20%5Cfrac%7B2%7D%7B3%7Dx%20-%204%20%2B%204)
![y= \frac{2}{3}x](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B2%7D%7B3%7Dx)
Now, to the question.
When pencils is 15 implies that
![x = 15](https://tex.z-dn.net/?f=x%20%3D%2015)
Solving for x, we have:
![y= \frac{2}{3}x](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B2%7D%7B3%7Dx)
![y= \frac{2}{3} * 15](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B2%7D%7B3%7D%20%2A%2015)
![y= \frac{2* 15}{3}](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B2%2A%2015%7D%7B3%7D)
![y= \frac{30}{3}](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B30%7D%7B3%7D)
![y= 10](https://tex.z-dn.net/?f=y%3D%2010)
i.e. Pen = 10
Ratio = x ; y
![x : y = 15 : 10](https://tex.z-dn.net/?f=x%20%3A%20y%20%3D%2015%20%3A%2010)
Convert to fraction
![\frac{x}{y} = \frac{15}{10}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%20%3D%20%5Cfrac%7B15%7D%7B10%7D)
Simplify
![\frac{x}{y} = \frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%20%3D%20%5Cfrac%7B3%7D%7B2%7D)
Hence,
![Ratio = \frac{3}{2}](https://tex.z-dn.net/?f=Ratio%20%3D%20%5Cfrac%7B3%7D%7B2%7D)
Answer:
11. This is counting only odd numbers, or counting by two starting with one.
Answer:
A.
Step-by-step explanation:
Sets A and C have a mode of 12 and a median of 12.
Calculate the means:
Set A: Mean = (8+10+12+12+14+16 ) / 6 = 12
Set C: Mean = (6 + 6 +12+12+18+24 ) / 6 = 13
So the required set is A.