Acarnival costs $10.50 to enter plus an additional $3.50 per ticket for rides and food.

write an algebraic expression to represent the total cost for a visit to the carnival. let n represent the number of tickets purchased.
what is the total cost to visit the fair if you purchase 20 tickets? explain your reasoning.

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

An airplane travels at an unknown elevation before it descends 3 miles to an elevation of 15 miles. find the elevation of the plane before its descen.

Jacob is graphing the line represented by the equation  −6x−5y=12.−6x−5y=12.  he first plots the  x-x-  and  y-interceptsy-intercepts  as follows.    which statement is correct regarding the intercepts on the graph?