Really important Ben and Claire have 800 badges altogether. Ben has 4 times as many badges as Claire. How many badges must Ben give to Claire so that each of them have the same number of badges?

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

Abox contains 1 plain pencil and 4 pens. a second box contains 5 color pencils and 5 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected? write your answer as a fraction in simplest form.

Olga bought a new skirt that cost $20. sales tax is 5%. how much did olga pay, including sales tax? 7.