The Celluloid Cinema sold 290 tickets to a movie. Some of these are child tickets and the rest were adult tickets. A child ticket cost $8 and an adult ticket costs $8.5. If the cinema sold 2407.5 worth of tickets, determine how many child tickets and how many adult tickets were sold? will give brainliest !

child tickets: 115

adult tickets: 175

Step-by-step explanation:

number of child tickets = x

number of adult tickets = y

(value of child ticket [8] * number of child tickets [x]) + (value of adult ticket [8.5] * number of adult ticket [y]) = total value (2407.50)

8x + 8.5y= 2407.50

290 (total number of tickets) = x (number of child tickets) + y (number of adult tickets)

290 = x+y

system of equations: 8x + 8.5y= 2407.50

290 = x + y

solve equation:

x = 115

y = 175

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.

it is contrapositive

i could not see the question too well so check yourself again too . this is because i want you to get it correct.