If your entire link creation process is asking 10 sites a day for a link, you can expect 0 and consider yourself lucky any time you get a link. I wouldn't even try 10 sites a week. Don't think of it as link building, think of it as relationship building. You cannot create 10 new relationships a day with new websites. You just can't. People recognize the non-spammy, relevant people reaching out to them. They also recognize the people reaching out to 10 sites a day just trying to get links.
If you're in it for the links, what incentive does that give the site you're reaching out to? You're just using them to further your own agenda. Do you offer a link in exchange? Then you are violating Google's guidelines and having too many of those reciprocals will definitely hurt you.
The key is to create synergistic, valuable relationships online. That's more than linking. For example, with my college football blog, I had lots of people approaching me to do link exchanges. I didn't really pay attention. So when I wanted to promote my blog, I approached a blog I knew was pro-BCS ( I am not) and challenged them. We posted our arguments and rebuttals. Naturally, we linked to the previous posts of the other. So they got links from me, I got links from them. More than that, we both increased readership by receiving visitors from each other.
Now if I want to promote something, I simply email them and let them know what I published and I know they will talk about it. I didn't just build a link here, I built a relationship. That relationship has results in more visitors, more exposure and of course, more links. That's better than just blanketing every college football blog and asking which will link to me.
So I would make a goal of trying to create a new relationship every day. Do a lot of research, come up with a good plan, and then execute that strategy. Webmasters are very open to new opportunities. You just have to present one to them in a way that shows value.
Do this and you can expect to come away with at least one solid relationship each week moving forward. Give that a try and see how it goes, I bet you'll be pretty glad you did.