Can you spot what's wrong with the following sentence?

PETER WAS ANGRY AT
HIMSELF BECAUSE HE
ACCIDENTALLY LEFT THE
THE KEYS TO HIS CAR
AT HIS FRIEND'S HOUSE.

What is full of holes but still holds water?

It is a 5 letter word if you take away first letter it is something you get from sun, if you remove second letter you will get something to eat, if you remove third letter you get a word you use in pointing at and if you remove the fourth letter you get something to drink. What is it?

Below, you will find the mathematical proof that 10 equals 9.99999?. But is that possible or there is something wrong about it? Can you find the error?

x = 9.999999...
10x = 99.999999...
10x - x = 90
9x = 90
x = 10

You bought me for dinner but never eat me. What am I?

No one wants to have it, but if one got it, he does not want to lose it. What is It?

O_er_t_o_

Complete the missing letters of the given word.

What is always in front of you but can’t be seen?

What work can one never finish?

If you drop me I’m sure to crack, but give me a smile and I’ll always smile back. What am I?