There are 30 markers in a bag. There is at least 1 red marker among any 12 randomly selected markers, and there is at least 1 black marker among every 20 randomly selected markers. How many red markers are in the bag?

Achemist has 200 ml of a 10% sucrose solution. she adds x ml of a 40% sucrose solution. the percent concentration, y, of the final mixture is given by the rational function: the chemist needs the concentration of the final mixture to be 30%. how many milliliters of the 40% solution should she add to the 10% solution to get this concentration?

Acircle has a diameter will endpoints of (-2,8) and (6, 4). what is the center of the circle

17 in long 1.3 ft wide and 8in high what is the volume