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:
Part a) 
Part b) When Jenny divides the square root of her favorite positive integer by
, she gets an integer
Step-by-step explanation:
Let
x-------> the favorite positive integer
Part a)
1) For 
-----> the product is an integer
so
The number
could be Jenny favorite positive integer
2) For 
-----> the product is an integer
so
The number
could be Jenny favorite positive integer
3) For 
-----> the product is an integer
so
The number
could be Jenny favorite positive integer
Part B)
1) For 
-----> the result is an integer
2) For 
-----> the result is an integer
3) For 
-----> the result is an integer
Therefore
When Jenny divides the square root of her favorite positive integer by
, she gets an integer
Answer:
0.60
Step-by-step explanation:
Use binomial probability.
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
The probability of a mistake on at least one page is 1 minus the probability of making no mistakes.
P(at least 1) = 1 − P(none)
P = 1 − ₁₁C₀ (0.08)⁰ (0.92)¹¹⁻⁰
P = 1 − (0.92)¹¹
P = 0.60
C. Alternate interior angles theorem
The angles labeled are on the inside of lines l and m and they are also on alternate sides of the unnamed line
:)))