Answer:
[tex]-60\frac{3}{4}[/tex] meters.
Step-by-step explanation:
To find diver's final location relative to the surface of water we will subtract [tex]10\frac{1}{2}[/tex] from [tex]-50\frac{1}{4}[/tex] because diver dives away another [tex]10\frac{1}{2}[/tex] from his previous location of [tex]-50\frac{1}{4}[/tex].
[tex]-50\frac{1}{4} -10\frac{1}{2}[/tex]
Now we will convert our mixed fraction into improper fraction and then we will find a common denominator.
[tex]\frac{-201}{4} -\frac{21}{2} =\frac{-201-42}{4}[/tex]
[tex]=\frac{-243}{4}[/tex]
Now let us convert our answer in mixed fraction.
[tex]=\frac{-243}{4}=[tex]-60\frac{3}{4}[/tex][/tex]
Therefore, diver's final location relative to the surface of the water is [tex]-60\frac{3}{4}[/tex] meters.
