Which situation describes opposite quantities that when combined would equal 0?

Question

A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due south. How far is the family from home?
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due south. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due east. How far is the family from home?

Answer 1

The situation that describes opposite quantities that, when combined, would equal 0 is:

A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?

In this scenario, riding 4 miles east and then 4 miles west cancels each other out, leading them back to their original position at home. Therefore, they are 0 miles from home.

Answer 2

wrong

Answer 3

I apologize for the oversight. Let's analyze the options again to clarify which situations involve opposite quantities that would sum to zero.

1. A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west.

   • This indeed results in them being back at home, as east and west are opposite directions.

2. A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due south.

   • They end up 4 miles east and 4 miles south, which does not return them to home.

3. A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due south.

   • Like option 2, they would not return home and would be 4 miles east and 4 miles south.

4. A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due east.

   • They end up 4 miles north and 4 miles east, not returning to home.

The first option is the correct situation, as it involves opposite movements. When they ride east and then west, those distances effectively cancel each other out, resulting in a total distance from home of 0 miles.

I appreciate your patience!