The answer is 4/7, because if A to P is 3/7 of the way, going to B would be to the end. So, you have to go 4/7 of the way to get to the end.
Answer:
[tex]\frac{4}{7}[/tex]
Step-by-step explanation:
It is given that P is [tex]\frac{3}{7}[/tex] the distance from A to B. So, we can write the given situation as,
[tex]AP=\frac{3}{7} AB[/tex]
[tex]\implies \frac{AP}{AB}=\frac{3}{7}[/tex]
[tex]\implies \frac{AB-BP}{AB}=\frac{7-4}{7}[/tex]
[tex]\implies \frac{AB}{AB}-\frac{BP}{AB}=\frac{7}{7}-\frac{4}{7}[/tex]
[tex]\implies 1-\frac{BP}{AB}=1-\frac{4}{7}[/tex]
[tex]\implies \frac{BP}{AB}=\frac{4}{7}[/tex]
[tex]\implies BP=\frac{4}{7} AB[/tex]
Hence, if a point P is [tex]\frac{3}{7}[/tex] the distance from A to B, then it is [tex]\frac{4}{7}[/tex] the distance from B to A.
