A: 45x + 30y = 1350
Since we don’t know how many adults and children are in the group, we use x and y
b: x-intercept= 30 y-intercept=45
To find the x-intercept you need to isolate the variable. 45x/45 = x
Then you do the same thing to the other side. 1350/45 = 30
So x=30
Same thing with the y-intercept.
30y/30 = y 1350/30 = 45
y=45 (Not really sure what it means by “what they represent” but I thinks it’s that there are 30 adult tickets and 45 children tickets )
c: so our points are (30,0) and (0,45) so you would graph that.
To find how many children tickets were bought if there were 20 adult tickets just look at the photo I put. I don’t know how to explain this.
Hope this helps
Answer:
We have been given a unit circle which is cut at k different points to produce k different arcs. Now we can see firstly that the sum of lengths of all k arks is equal to the circumference:

Now consider the largest arc to have length \small l . And we represent all the other arcs to be some constant times this length.
we get :

where C(i) is a constant coefficient obviously between 0 and 1.

All that I want to say by using this step is that after we choose the largest length (or any length for that matter) the other fractions appear according to the above summation constraint. [This step may even be avoided depending on how much precaution you wanna take when deriving a relation.]
So since there is no bias, and \small l may come out to be any value from [0 , 2π] with equal probability, the expected value is then defined as just the average value of all the samples.
We already know the sum so it is easy to compute the average :

Consider all employees.
A.
- gross pay $32,600 - 100%,
- total job benefits $33,600 - x%.
Then

Employee A receives 3.07% of gross pay in employee benefits.
B.
- gross pay $32,900 - 100%,
- total job benefits $34,000 - x%.
Then

Employee B receives 3.34% of gross pay in employee benefits.
C.
- gross pay $33,400 - 100%,
- total job benefits $33,900 - x%.
Then

Employee C receives 1.50% of gross pay in employee benefits.
D.
- gross pay $33,700 - 100%,
- total job benefits $34,700 - x%.
Then

Employee D receives 2.97% of gross pay in employee benefits.
Answer: correct choice is B.
Answer:
x=3
Step-by-step explanation:
5x+6=21
5x=15
x=3