What is the sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is ?

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?

Before simplifying, how many terms are there in the expression 2x - 5y + 3 + x?

Find and simplify an expression for the area of five rows of x squares with side lengths of x centimeters.