The length that a hanging spring stretches varies directly with the weight placed at the end of the spring. If a weight of 12lb stretches a certain spring 16in., how far will the spring stretch if the weight is increased to 35lb? (Leave the variation constant in fraction form. Round off your final answer to the nearest in.)

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?

Atriangle has an area of 72 square inches. if the base of the triangle has a length of 18 inches, what is the height of the triangle? use the formula for the area of a triangle: area = (base)(height) type a numerical answer in the space provided. do not include the units or spaces in your answer.

James was playing a game with his friends. he won 35 points. then he lost 15, lost 40 and won 55. how did he come out