Patty is inviting her friends to a party. she has 30 snack bars and 45 juice boxes, and she wants to give the same number of each item to each friend. use the drop-down menus to describe how many friends patty can invite. at most, patty can invite friends to the party. if she invites that many friends, each will receive snack bars and juice boxes.

Karianne and lucius are analyzing a linear function on a graph. karianne says that unit rate is equal to rate of change, but that slope is calculated differently. lucius says that unit rate, rate of change, and slope are calculated the same way. who is correct? explain your answer.

Write numerical coefficient of y² in the expression 2x² - 15xy – 7y²

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?