The coordinates of the vertices of figure abcd are a(4, 2), b(2, 2), c(4, 3), and d(6, 2). figure abcd was dilated, with the center of dilation at the origin, to produce figure aꞌbꞌcꞌdꞌ with vertices aꞌ(32, 16), bꞌ(16, 16), cꞌ(32, 24), and dꞌ(48, 16).
what was the scale factor of the dilation?

Nell has a sales clerk job that pays $12 per hour for regular gas work hours. she gets double time for any hours over 40 that she works in a week. how many hours did nell work if her weekly pay was $744

Convert the mixed numbers into improper fractions. convert the improper fraction to mixed numbers.

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?