so each ticket costs 12 dollars multiply that bye 5 you get 60
each bucket of popcorn costs 4.50 then multiply that bye 2 you get 9
then all five girls get a soda which costs 4.75 so you would multiply 4.75 bye 5 which is 23.75
so in total you would get B.92.75
We have to prove that the tangent is an odd function.
If the tangent is an odd function, the following condition should be satisfied:

From the figure we can see that the tangent can be expressed as:
We can start then from tan(t) and will try to arrive to -tan(-t):

We have arrived to the condition for odd functions, so we have just proved that the tangent function is an odd function.
Answer:
x = cupcakes
y = cookies
3x + 1y ≥ 205
x cupcakes at $3 each plus y cookies at $1 each is greater than or equal to $205
Step-by-step explanation:
If i understand the machine correctly and -3 is x and 8 is the final answer, f(x)=x+11
Answer:
.35g
Step-by-step explanation: