In physical education class, Ariel shoots free throws and lay-ups. She earns 1 point for each free throw she makes and 2 points for each lay-up she makes. The greatest number of points that she can earn is 30. She has to make at least 15 free throws and lay-ups altogether. One of the inequalities would be 1x + 2y < 30 where x represents the number of free throws made and y represents the number of lay-ups made. Write the other inequality for the system of inequalities that describes the constraints.

Iwill give you ! what is the measure of ∠v ?

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size.it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

Needmax recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.