Kaylee has 2 gallons each of red and blue paint, and 1 gallon each of orange and green paint. she paints her bedroom with these jars of paint. if she uses $\frac{2}{3}$ of the red paint, $\frac{1}{4}$ of the blue paint, $\frac{1}{2}$ of the orange paint, and $\frac{5}{7}$ of the green paint, how much paint (in gallons) does kaylee have left over

Find the greatest common factor of the polynomial: 10x^5+15x^4-25x^3 10x^5 x^3 5x^3 5

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)

Write the slope intercept equation for line ab.