In a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?

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?

Identify the number 127 as a rational or irrational. explain

If you have 12 feet of string and you cut it into equal length of 5 inches each how much string will be left