Respuesta :
100 yards minus 41 3/4 which is 58 1/4 divided by 2 which is 29 1/2
Answer: The referee was 29.125 yards from the nearest goal line.
Step-by-step explanation:
Since we have given that
Length of line = 100 yards
Let the x be the distance at the end of quarter nearest goal line .
According to question, He walked 41 3/ 4 yards to a yard line with the same number as the one he had just left.
So, it becomes,
[tex]100-2x=41\dfrac{3}{4}\\\\100-2x=\dfrac{167}{4}\\\\-2x=\dfrac{167}{4}-100\\\\-2x=\dfrac{167-400}{4}\\\\-2x=-\dfrac{233}{4}\\\\x=\dfrac{233}{4\times 2}\\\\x=\dfrac{233}{8}\\\\x=29.125\ yard[/tex]
Hence, the referee was 29.125 yards from the nearest goal line.
