Question

If ab=3, bc=5/9, and ac=15, what is one possible value of abc?

A)5.0
B)8.33
C)9.28
D)18.54
E)25.0

Answer 1

Answer: Choice A) 5.0

----------------------------------------

Work Shown:

a*b = 3
b*c = 5/9
a*c = 15

Multiply the equations together. Isolate a*b*c

(a*b)*(b*c)*(a*c) = 3*(5/9)*15
(a*a)*(b*b)*(c*c) = 25
a^2*b^2*c^2 = 25
(a*b*c)^2 = 25
a*b*c = sqrt(25)
a*b*c = 5.0