mabel is comparing the prices of two car rental companies. company a charges $35 per day and an additional $15 as service charges. company b charges $42 per day and an additional $10 as service charges.

part a: write an equation to represent each company's total charges for renting a car for a certain number of days. for both equations (one for company a and one for company b), define the variable used. (4 points)

part b: which company would charge less for renting a car for 6 days? justify your answer. (3 points)

part c: how much money is saved by using the services of company a instead of company b to rent a car for 10 days? (3 points)

You put the following items into your rucksack. ham 600 g cheese 380 g tomatoes 270 g how much do all the ingredients weigh in total?

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?

The number if marbles of different colors stored in a hat is listed below: 4 red marbles 10 green marbles 7 blue marbles. without looking in the hat, dan takes out a marble at random. he replaces the marble and then takes out another marble from the hat. what is the probability that dan takes out a blue marble in both draws?