First, we start with the equation that the problem told us, which is:
R + 6 = 2 * (x + 6)
Then, we distribute the two:
R + 6 = 2x + 12
Now, we put R on its own side.
R = 2x +6
So, the answer must be C, 2x + 6
Answer:
y = -1/4x - 2
Step-by-step explanation:
Step 1: The y-intercept is on the y-axis line. The y-intercept in this graph is -2.
Step 2: To find the slope. The line is going downwards so that helps us know that the slope is going to be negative. You want to get the bottom point to the top. So move upwards 1 time and move 4 times to the left.
Step 3: Now just put everything together.
Answer:
There are 7360 M&Ms in larger jar.
Step-by-step explanation:
We are given the following in the question:
A giant jar is such that it is exactly four times times the smaller jar in dimensions.
If r and h is the radius and height of the cylindrical jar respectively, then the dimensions of the larger are:
![R = 4r\\H=4h](https://tex.z-dn.net/?f=R%20%3D%204r%5C%5CH%3D4h)
Number of M&Ms in smaller jar = 115
Volume of smaller jar =
![v = \dfrac{1}{3}\pi r^2 h](https://tex.z-dn.net/?f=v%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h)
Volume of larger jar =
![V =\dfrac{1}{3}\pi R^2 H=\dfrac{64}{3}\pi r^2 h](https://tex.z-dn.net/?f=V%20%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20R%5E2%20H%3D%5Cdfrac%7B64%7D%7B3%7D%5Cpi%20r%5E2%20h)
Number of M&Ms in larger jar:
![v = \dfrac{1}{3}\pi r^2 h\rightarrow 115\\\\V=\dfrac{64}{3}\pi r^2 h\rightarrow 115\times 64\\\\V=\dfrac{64}{3}\pi r^2 h\rightarrow 7360](https://tex.z-dn.net/?f=v%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h%5Crightarrow%20115%5C%5C%5C%5CV%3D%5Cdfrac%7B64%7D%7B3%7D%5Cpi%20r%5E2%20h%5Crightarrow%20115%5Ctimes%2064%5C%5C%5C%5CV%3D%5Cdfrac%7B64%7D%7B3%7D%5Cpi%20r%5E2%20h%5Crightarrow%207360)
Thus, there are 7360 M&Ms in larger jar.