Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $40 and same-day tickets cost $20. For one performance, there were 65 tickets sold in all, and the total amount paid wfor them was $2100. How many advanced tickets where sold

40

Step-by-step explanation:

$40 x 40 = $1600 (40 advanced tickets sold)

$20 x 25 = $500 (25 same-day tickets sold)

$1600 + $500 = $2100 (total amount paid)

40 + 25 = 65 (total number of tickets sold)

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.