A doll manufacturer makes happy dolls and grumpy dolls. Each day, the number of grumpy dolls made is two-thirds the number of happy dolls made. If the total daily production is between 75 and 100, what is the least amount of happy dolls made? What is the maximum number of grumpy dolls made? (This is an inequality problem)

What is the simplified form of 7 √x • 7 √x • 7 √x • 7 √x?

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?

The angles below are supplementary. what is the value of x? a pair of supplementary angles is shown. one angle measures 7x + 33, and the other angle measures 70. 5.3 8.14 11 14.7