Three boys cut out hundredths decimal models. luke shades three-fourths of one model.
owen shades four small squares of one model. jacob shades two full models and nine-tenths of another model.
what decimal represents the amount each boy shades?

this image shows 3 hundredths decimal models next to each other.

enter your answers in the boxes.

luke shades
.

owen shades
.

jacob shades
.

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?

Find the greatest common factor of -30x 4 yz 3 and 75x 4 z 2.

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