You are taking a test in which items of type a are worth 10 points and items of type b are worth 15 points. it takes 3 minutes for each item of type a and 6 minutes for an item of type b. total time allowed is 60 minutes, and you may answer more than 16 questions. assuming all your answers are correct, how many items of each type should you answer in order to get the best score?

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?

Draw a tape diagram to represent each situation. for some of the situations, you need to decide what to represent with a variable andre bakes 9 pans of brownies. he donates 7 pans to the school bake sale and keeps the rest to divide equally among his class of 30 students

The ph level of a blueberry is 3.1 what is the hydrogen-ion concentration [h+] for the blueberry