Answer:
2/7
Step-by-step explanation:
Given that y varies directly with x, and y=7/9 when x=5/9, you want the value of x for y=2/5.
Proportion
"Varies directly" means the variables are proportional to one another. Their ratio is a constant. We can use this to find the value of x:
x/(2/5) = (5/9)/(7/9)
Multiplying by 2/5, we get ...
x = (2/5)×(5/9)/(7/9) = (2/5)(5/7)
x = 2/7
