Cate and elena were playing a card game. the stack of cards in the middle had 24 cards in it to begin with. cate added 8 cards to the stack. elena then took 12 from the stack. finally, cate took 9 cards from the stack. how many cards were left in the stack.

Starting out with 24.

Cate added 8.

24 + 8 = 32

Elena took 12.

32 - 12 = 20

Cate took 9.

20 - 9 = 11

11 are left.

i believe the answer is the polygon, heptagon.

step-by-step explanation:

total income = price of one ticket   *   number of tickets sold

  y                 =     4                                   x

so the equation is y=4x     with x≥0   because number of tickets sold can not be negative

thus the equation is a semi -line with an end point at

(0,0)

passing through :

x=1     y=4(1) = 4   so through (1,4)