Peacock purple paint is made by mixing red paint and blue paint in the ratio 3 to 7. Let R be an unspecified number of liters of a red paint, which can vary, and let be be the corresponding number of liters of blue paint in peacock purple paint. Reason about quantities and our definition of multiplication, and use math drawings to find and explain the following types of equations. A.) C • R=B, where C is a suitable constant (which you should find) B.) k•B=R where k is a suitable constant (which you should find)

Jonathan pays $1.90 per pound for potatoes. he buys 8.3 pounds of potatoes. he determines that he will pay $15.77, before tax, for the potatoes. which best describes the reasonableness of jonathan’s solution? jonathan’s answer is reasonable because there are two decimal places in the factors and two in the product. jonathan’s answer is unreasonable because there are three decimal places in the factors and two in the product. jonathan’s answer is reasonable because is 16, and 16 is close to 15.77. jonathan’s answer is unreasonable because is 8, and 8 is not very close to 15.77.

Find the greatest common factor of the followig monomials 21u^5v,3u^4v^6, and 3u^2v^5

Max 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.