9-11) Technetium-99m is a drug taken by a patient and then used to study tumors in the brain, lungs and other parts of the body. A patient takes a 1000-mg pill. The data below shows how
much active ingredient remains in the body over 6-hour time intervals.

wedfghjkl;

tyuiop[]ghjkl;

step-by-step explanatio89

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4