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

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

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