A hardware store want to mix sand worth $8 per pound with sand worth $4 per pound to get an 80 pound mixture that is worth $5 per pound. How many pounds of each type of sand should be used?

Match each polynomial with its factorization.

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

What is the total area of the figure?