I had to answer the questions in the negative please check

Question

1.Hay alguien en la puerta?
No, no hay nadie en la puerta.
2. Hay algo en la mesa?
No, no hay nada en la mesa.

Answer 1

They both look OK to me, but i'm not the Spanish expert around here. .

Answer 2

¡Perfecto! With the negative, you also have the choice of using the strong negative word without the "no" as in:
1. No, nadie hay en la puerta.
2. No, nada hay en la mesa.

Sra

Answer 3

Thank you