Answer:
320 Student Tickets
180 Adult Tickets
Step-by-step explanation:
You can solve this problem by using system of equations. First, we need to figure out our equations.
Equation 1: x as students and y as adults

We get this equation because the total tickets sold was 500. The x represents the students sold to students, and the y represents the tickets sold to adults.
Equation 2:

We get this equation based on the prices. Each student ticket costs $3, and each adult ticket costs $5. The total amount earned was $1850.
Now that we have out equations, we can use system of equations to find our students and adults.


Typically elimination is the easiest strategy because you are able to cross out variables.


Becomes:


We see that both equations now have 3x. We can cancel out 3x.


Now that we know y=180, we can plug it back into one of our equations to find x.


320 student tickets and 180 adult tickets were sold.
Answer:
So x=4 and y=-5 would work.
Step-by-step explanation:
When you multiply complex conjugates, you get a real result.
Example:

I replace
with -1 since
.
is a real number (there is no imaginary part, no i).
So what is the conjugate of 4+5i?
4-5i
So x=4 and y=-5 would work.
A multiple of the complex conjugate would work as well.




This is still a real number; there is no imaginary part,no i.
Answer:
B
Step-by-step explanation:
This is the answer because a function cannot have an x-value that produces more than one y-value.
The equation is in slope-intercept form (y = mx + b), where F is y and C is x.
Without knowing anything about the sequence, this is impossible to answer. But suppose the sequence is arithmetic, in which case each term differs by some constant
:





Then we can write

and from the formula above, we see this means the 10th term in the sequence is
. But that's all the specific info we can gather about such an arithmetic sequence. If we set the first term to be some unknown
, then the sum of the first 19 terms in the sequence would be

If we knew one more term in the sequence, we could determine the value of
and derive the value of
(if the first term
is not immediately given), and then go on to find an exact numeric value for the sum.
He receives 8.5% <span>commission on sales from $70,000 to $100,000, therefore the commission is:
comission = 8.5%($82000) = (85/1000)(82000)
= 6979
that is his commission</span>