Answer:
[tex]\large\boxed{B.\ \dfrac{3}{2}}[/tex]
Step-by-step explanation:
[tex]\dfrac{2}{3}x=10\qquad\text{divide both sides by}\ \dfrac{2}{3}\\\\\text{Divide by a fraction is the same as multiply by the reciprocal of this fraction.}\\\text{divide both sides by}\ \dfrac{2}{3}\ \text{is the same as multiply both sides by}\ \dfrac{3}{2}\\\\\dfrac{3\!\!\!\!\diagup^1}{2\!\!\!\!\diagup_1}\cdot\dfrac{2\!\!\!\!\diagup^1}{3\!\!\!\!\diagup_1}x=\dfrac{3}{2\!\!\!\!\diagup_1}\cdot10\!\!\!\!\!\diagup^5\\\\x=(3)(5)\\\\x=15[/tex]
