A relay team consisting of four runners – Anne, Bryn, Carmen and Dahlia – completed a race in 72 minutes. Anne’s leg of the race took 1/5 of the total time; Bryn’s took 1/3 of the total time; and Carmen’s took 3/10 of the total time. How many minutes did Dahlia take to run her leg of the race?

Let x be the number of minutes it took Dahlia to run her leg of the race.

The total time for Anne, Bryn, and Carmen is 72 - (1/5 + 1/3 + 3/10) * 72 = 72 - (18 + 24 + 21.6) = 72 - 63.6 = 8.4 minutes.
Thus, Dahlia took x = 8.4 minutes to run her leg of the race. Answer: \boxed{8.4}.