Which organs are responsible for producing eggs and female hormones, and usually release one egg per month?

The ovaries are the organs responsible for producing eggs and female hormones, such as estrogen and progesterone. They play a crucial role in the female reproductive system by not only releasing an egg typically once a month during the menstrual cycle but also regulating various physiological functions related to reproduction and menstrual health. This monthly release of an egg is known as ovulation, and it is a key aspect of female fertility.

The other options, while important components of the female reproductive system, do not have the primary role of producing eggs. The uterus is primarily involved in nurturing a fertilized egg and supporting fetal development, the fallopian tubes are responsible for transporting eggs from the ovaries to the uterus, and the vagina serves as the canal for childbirth and the receptacle for the penis during sexual intercourse. None of these structures produce eggs or hormones.