The ballpark made a total of $15,000 from ticket sales at wednesday's game. the ballpark charges $20 for each adult ticket and $10 for each child's ticket. they sold 3 times as many children's tickets as adult tickets. write a system of equations that can be used to determine the number of adult and child tickets sold.

50x=15000, and  x>0

Step-by-step explanation:

Let the number of adult tickets be x .

then the number of children's tickets =3x

Since the ballpark charges $20 for each adult ticket and $10 for each child's ticket.

Therefore total sales on Wednesday=20x+10(3x)

=20x+30x=50x

Since the ballpark made a total of $15,000 from ticket sales at Wednesday's game.

⇒The required equation must be 50x=15000, and  x>0

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: