Answer: There are 160 miles he would drive before he needed to fill up.
Step-by-step explanation:
Since we have given that
Number of miles Mr. Markle planned a trip = 360 miles
According to question, he calculated that he would have to fill up [tex]\frac{5}{9}[/tex] into the trip.
So, Part of miles he would drive before he needed to fill up is given by
[tex]1-\frac{5}{9}\\\\=\frac{9-5}{9}\\\\=\frac{4}{9}[/tex]
so, Number of miles that he would drive before he needed to fill up is given by
[tex]\frac{4}{9}\times 360\\\\=4\times 40\\\\=160\ miles[/tex]
Hence, there are 160 miles he would drive before he needed to fill up.
