Find the generating function for the number of ways to distribute blank scratch paper to alice, bob, carlos, and dave so that alice gets at least two sheets, bob gets at most three sheets, the number of sheets carlos receives is a multiple of three, and dave gets at least one sheet but no more than six sheets of scratch paper. without finding the power series expansion for this generating function (or using a computer algebra determine the coefficients on x 2 and x 3 in this generating function.
because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.
x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x
last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x