Originally Posted by vasantn
I don't want to be discouraging, but you'll be lucky if you hear back even from 2 of the 20. These days, you need to be sending out hundreds of resumes.
Vasantn is right. You may never hear from any of them. Someone upthread recommended reaching out to your network and that's very good advice. You are much more likely to find a promising lead from someone who knows you and your abilities, than from an unsolicitated resume. This is no time to be shy with your contacts. Wouldn't you appreciate it if someone you'd worked with thought enough of you to seek your input in a similar situation?
As was said, this is not meant to be discouraging, but rather given as advice from those that have been there.