Greta is a member of a very small and deliberately low-profile organization called shower vocalists of America. She paid $45 in dues for each of her first 5 years as a member and $20 in dues each year after that. If Greta has paid a total of $485 in dues, for how many years has she paid $20 in dues?

In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ab=9, and ac=12, find hc.

Adoctor administers a drug to a 38-kg patient, using a dosage formula of 50 mg/kg/day. assume that the drug is available in a 100 mg per 5 ml suspension or in 500 mg tablets. a. how many tablets should a 38-kg patient take every four hours? b. the suspension with a drop factor of 10 ggt/ml delivers the drug intravenously to the patient over a twelve-hour period. what flow rate should be used in units of ggt/hr? a. the patient should take nothing pills every four hours. (type an integer or decimal rounded to the nearest hundredth as needed.)

Find the value of x. give reasons to justify your solutions! l, m ∈ kn