Answer:
Roger can earn $510 at most.
Step-by-step explanation:
We are given the function

Which gives the earnings of Roger when he sells v videos. Since the play’s audience consists of 230 people and each one buys no more than one video, v can take values from 0 to 230, i.e.

That is the practical domain of E(v)
If Roger is in bad luck and nobody is willing to purchase a video, v=0
If Roger is in a perfectly lucky night and every person from the audience wants to purchase a video, then v=230. It's the practical upper limit since each person can only purchase 1 video
In the above-mentioned case, where v=230, then

Roger can earn $510 at most.
Answer:
x=2/3
Step-by-step explanation:
(2x+1)/2 = 2 1/3/4
Multiply 4 on both sides:
2x+1=2 1/3
Rewrite:
2x+1=7/3
Subtract 1 on both sides:
2x=4/3
Divide 2 on both sides:
x=2/3
Thus x=2/3
Hope this helps!
Answer:
The perimeter is 
Step-by-step explanation:
we know that
The perimeter of the figure is equal to the circumference of a semicircle
plus the perimeter of a square minus the diameter of the circle
so

we have



The diameter of the circle is equal to the length side of the square
substitute



There are about 8cm in 3.2 inches
Answer:
20 adults and 10 children
Step-by-step explanation:
We need to find the total amount of adults and children for 30 total people (adults + children) and only 100$ for them. 30 adults is 120$. We need to take off double the amount of money that would bring it to 100$ because the cost for each child is half of an adult. That way, we have 80$ of adults, and when we fill in the rest with children, we get to 100$ total and 30 total people.