Find the Center of Mass of the Point Masses Lying $\begin{array} { l } m _ { 1 } = 10 , m _ { 2 } = 1 , m _ { 3 } = 7 \\x _ { 1 } = 3 , x _ { 2 } = 10 , x _ { 3 } = 4\end{array}$

Multiple Choice

Find the center of mass of the point masses lying on the x-axis. $\begin{array} { l } m _ { 1 } = 10 , m _ { 2 } = 1 , m _ { 3 } = 7 \\x _ { 1 } = 3 , x _ { 2 } = 10 , x _ { 3 } = 4\end{array}$

A) $\bar { x } = \frac { 35 } { 9 }$
B) $\bar { x } = \frac { 67 } { 18 }$
C) $\bar { x } = \frac { 34 } { 9 }$
D) $\bar { x } = \frac { 71 } { 21 }$
E) $\bar { x } = \frac { 71 } { 18 }$