+1347 On a number line, the coordinate of point X is $-18\frac{1}{2}$ and the coordinate of point Y is $25\frac{1}{3}$. What mixed number corresponds to the coordinate of point Z if the distance between X and Z is one-third of the distance between Z and Y ?
+36 the coordinate of point x is -18 1/2
the coordinate of point is y is 25 1/3
X______________________________________________Y
-18 1/2.......................................................................................................25 1/3
the distance between X and Z is one-third of the distance between Z and
X______d______Z_____________3d_______________Y
-18 1/2......................................................................................................25 1/3
the distance between X and Y
d = the distance between and Y divided by 4
d = (25 1/3 + 18 1/2)/4
d = 263/24
3d = (3 * 263)/24 = 263/8
the coordinate of the point Z is -18 1/2 + 263/24 = -181/24 = -7 13/24
or
25 1/3 - 263/8 = -181/24 = -713/24
answer: the coordinate of the point Z is -7 13/24
