Answer:
39
Step-by-step explanation:
In order to solve this you have to fond r.
In 3r=18 you divide the 3 from both sides to isolate the variable.
18÷3=6 so you are left with r=6
So r is 6.
Plug that into 6r+3
6(6)+3
6×6=36
36+3=39
Answer:
left, if looking from person's point of view
Step-by-step explanation:
7x - 72 = 3x + 40
4x = 112
x = 28
3(28) + 40
= 124
Answer:
The correct equation is: 6x+12 = 30.75
And 3 people went to the movies
Step-by-step explanation:
We will write the equation to represent this scenario.
Let x be the number of people who went for movies.
Then the price of ticket for x people will be: 6.25x
They spent $12 on refreshments and a total of $30.75 so the equation will be:
![6.25x+12=30.75](https://tex.z-dn.net/?f=6.25x%2B12%3D30.75)
solving the equation will give us total number of people
So,
![6.25x+12 = 30.75\\6.25x = 30.75-12\\6.25x = 18.75\\\frac{6.25x}{6.25} =\frac{18.75}{6.25}\\x = 3](https://tex.z-dn.net/?f=6.25x%2B12%20%3D%2030.75%5C%5C6.25x%20%3D%2030.75-12%5C%5C6.25x%20%3D%2018.75%5C%5C%5Cfrac%7B6.25x%7D%7B6.25%7D%20%3D%5Cfrac%7B18.75%7D%7B6.25%7D%5C%5Cx%20%3D%203)
Hence,
The correct equation is: 6x+12 = 30.75
And 3 people went to the movies
The volume of a cylinder (vc) is given by:
![v_c = \pi r^2h](https://tex.z-dn.net/?f=v_c%20%3D%20%5Cpi%20r%5E2h)
In this case, you are given the diameter, and the radius is diameter/2. So, it will be:
![r = \frac{17.5}{2} = 8.75](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B17.5%7D%7B2%7D%20%3D%208.75%20)
Now, you have everything given to plug into the equation. Let's do that:
![v_c = (3.14)(8.75)^2(24.5)](https://tex.z-dn.net/?f=v_c%20%3D%20%283.14%29%288.75%29%5E2%2824.5%29)
Simplify and solve to get:
![v_c = 5889.95](https://tex.z-dn.net/?f=v_c%20%3D%205889.95%20)
So, your answer is
5889.95 ft³.