<h2>
Hello!</h2>
The answer is: There are a total of 16 skits in the video.
<h2>Why?</h2>
From the statement, we know that the total length of the video is 101 minutes and it contains a 5-minute introduction, the rest of the minutes are short skits (which are 6 minutes long each one).
So, we need to write the following equations:
First equation:
![TotalDuration=Introduction+n*Skit](https://tex.z-dn.net/?f=TotalDuration%3DIntroduction%2Bn%2ASkit)
Second equation:
![Skit=6Minutes](https://tex.z-dn.net/?f=Skit%3D6Minutes)
Where,
![TotalDuration=101Minutes\\Introduction=5Minutes\\n=NumberOfSkits\\Skit=6Minutes](https://tex.z-dn.net/?f=TotalDuration%3D101Minutes%5C%5CIntroduction%3D5Minutes%5C%5Cn%3DNumberOfSkits%5C%5CSkit%3D6Minutes)
So, replacing and substituting the second equation into the first equation we have:
![101Minutes=5Minutes+n*6Minutes\\n*6Minutes=101Minutes-5Minutes\\n*6Minutes=96Minutes\\n=\frac{96Minutes}{6Minutes}=16](https://tex.z-dn.net/?f=101Minutes%3D5Minutes%2Bn%2A6Minutes%5C%5Cn%2A6Minutes%3D101Minutes-5Minutes%5C%5Cn%2A6Minutes%3D96Minutes%5C%5Cn%3D%5Cfrac%7B96Minutes%7D%7B6Minutes%7D%3D16)
So, there are a total of 16 skits in the video.
Let's prove it substituting "n" into the first equation:
![101Minutes=5Minutes+16*6minutes\\101Minutes=5Minutes+96Minutes\\101Minutes=101Minutes](https://tex.z-dn.net/?f=101Minutes%3D5Minutes%2B16%2A6minutes%5C%5C101Minutes%3D5Minutes%2B96Minutes%5C%5C101Minutes%3D101Minutes)
Have a nice day!
Answer:
6 hours
Step-by-step explanation:
Suppose Madison spent x hours on her social project,
then the number of hours spent on other project will be 1/3 of x=x/3
Total hours spend on all projects will be the addition of hours spent on social project and hour spent on other project, i.e
x + x/3 = 4x/3
It si given that this is 8 hours, therefore
4x/3=8
Multiplying both sides by 3:
4x=24
Dividing across board by 4:
x= 6 hours
Answer:
y=1/2x+5
Step-by-step explanation:
The formula is y=mx+b.
m is the slope, and b is the y-intercept.
1/2 is the slope, and 5 is the y-intercept.
y=1/2x+5.
-hope it helps
Answer:
(8,-3)
Step-by-step explanation:
I just added 1 to the x value and added 2 to the y value because that was the difference between point A and the midpoint of the segment.
Hope this helps!