Jim and Kirk are playing a card game where they trade chips. At the begining of the game, jim has 4 times as many chips as kirk does. After kirk wins the game, Jim gives kirk 18 of his chips, at which point they now have the same number of chips. How many did kirk have to begin with?

Write a function that matches the description. a cosine function has a maximum of 5 and a minimum value of -5. f (r) =

Acone is placed inside a cylinder. the cone has half the radius of the cylinder, but the height of each figure is the same. the cone is tilted at an angle so its peak touches the edge of the cylinder’s base. what is the volume of the space remaining in the cylinder after the cone is placed inside it?

Jessa bought a yoyo from a company that claims that, with each retraction, the string rolls up by 60% of the original length. she sets up a tape measure and throws the yoyo 3 times. her data are charted below. throw length of string (feet) 1 3 2 1.8 3 1.08 jessa wants to find the sum of the length of string after 10 throws. what is the sum of the lengths, rounded to the nearest hundredth?