Charlie has a collection of marbles in three sizes, small, medium, and large. He has four times as many small marbles as medium marbles. The number of large marbles is three more than five times the number of medium marbles. Define a variable. Write expressions for the small marbles, medium marbles, and large marbles. If Charlie has a total of 103 marbles, how many of each size does he have?

Alake near the arctic circle is covered by a 222-meter-thick sheet of ice during the cold winter months. when spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. after 333 weeks, the sheet is only 1.251.251, point, 25 meters thick. let s(t)s(t)s, left parenthesis, t, right parenthesis denote the ice sheet's thickness sss (measured in meters) as a function of time ttt (measured in weeks).

Identify a1 and r for the geometric sequence an= -256(-1/4) n-1

Abox contains 1 plain pencil and 4 pens. a second box contains 5 color pencils and 5 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected? write your answer as a fraction in simplest form.