What does this simple rebus mean?

When you say goodbye, I am what you need to tie.
I come as a couple and go wherever you run.
Who am I?

what does the below math rebus puzzle mean?

Can you decipher the two rows to find the hidden word?

Which is the correct shadow of the bird?

If six children and two dogs were under an umbrella, how come none of them got wet?

I inserted a coin in a bottle and closed its mouth with the help of a cork. Now, I was able to take the coin out from the bottle without taking out the cork or breaking the bottle. Can you tell me how I did it?

A man was going to bleach his socks because they had gotten muddy the day before. As he was pouring the bleach into the washing machine, he spilt some on the floor. He got some cleaning fluid and mopped it up with a rag. Minutes later he was dead. What killed him?

Can you identify the hidden rebus in the image below?

How many bananas can you eat if your stomach is empty?