-23. The weight of an object on the moon varies direotly with the object's weight on earth. If an astronaut who weighs 150 pounds on earth weighs 25 pounds on the moon, what is the weight on the moon of an astronaut who weighs 180 pounds on earth?

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We are given that the weight on the moon varies directly with the weight on Earth. This means we can express the relationship as  
$$
m = k \cdot e
$$
where $$ m $$ is the weight on the moon, $$ e $$ is the weight on Earth, and $$ k $$ is the constant of proportionality.

1. First, we use the information of the astronaut who weighs 150 pounds on Earth and 25 pounds on the moon to find $$ k $$:
   $$
   25 = k \cdot 150
   $$
   Solving for $$ k $$:
   $$
   k = \frac{25}{150} = \frac{1}{6}
   $$

2. With the constant $$ k = \frac{1}{6} $$, we can now find the moon weight for an astronaut weighing 180 pounds on Earth:
   $$
   m = \frac{1}{6} \cdot 180 = 30
   $$

Thus, the weight on the moon of an astronaut who weighs 180 pounds on Earth is $$\boxed{30}$$ pounds.
The weight on the moon of an astronaut who weighs 180 pounds on Earth is 30 pounds.

-23. The weight of an object on the moon varies direotly with the object's weight on earth. If an astronaut who weighs 150 pounds on earth weighs 25 pounds on the moon, what is the weight on the moon of an astronaut who weighs 180 pounds on earth?

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