Answer:
a) System of equations will be: 
b) Number of adult tickets sold = 263
Number of students tickets sold = 237
Step-by-step explanation:
Let:
Number of adult tickets sold = x
Number of students tickets sold = y
a)
As Marc sold total 500 tickets, the expression will be: 
Student tickets cost $2 and adult tickets cost $5. Marc's sales totalled $1,789.
The expression will be: 
So, system of equations will be: 
b)
Solve the system to find value of x and y
Let:

Multiply equation 1 by 2 and subtract

We get value of x = 263
Now finding value of y by putting value of x in eq(1)

We get value of y = 237
Number of adult tickets sold = x = 263
Number of students tickets sold = y = 237
Yes, this is all correct!
The question asks the answer that comes out from the division of 3912.99 by 15.9. Both the numbers are in decimal form, so the division will be easy.
3912.99/15.9
= (391299 * 10)/(159 * 100)
= (391299)/(1590)
= 246.10
So the answer that comes out from the division of the two numbers given in the question is 246.10. I hope i have described the full process and it has helped you to understand the way these kind of problems need to be tackled.
Answer:
Our solutions are x= -7 , x=6
Step-by-step explanation:
x²+x-30=12
First we calculate the constants:
x²+x-30-12=0
x²+x-42=0
Now split the middle term:
x²+7x-6x-42=0
x(x+7)-6(x+7)=0
(x+7)(x-6)=0
As we know that:
a.b=0
⇒either a=0 or b=0
(x+7)=0 , (x-6)=0
x=0-7 , x=0+6
x= -7 , x=6
So our solutions are x= -7 , x=6....