Astandard showerhead in sonia's house dispenses 12 gallons of water per minute. sonia changed this showerhead to an energy-saving one. the equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new showerhead. y = 3x how much water does sonia save each day with the change in showerheads if she uses the shower for 8 minutes each day?

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?

Solve each quadratic equation by factoring and using the zero product property. x^2 - 8x + 30 = 3x

You have 12 balloons to blow up for your birthday party. you blow up 1/3, and your friend blows up 5 of them. what fraction of the baloons still need blowing up