Q.How Much Vinegar, Salt And Dishwashing Liquid Do You Need To Kill Weeds?
The weeds are between a flagstone patio and I have dogs.

Certified GKH Gardening Expert
As much as it takes until the weeds are dead! Vinegar will be sprayed, straight, onto problematic areas. Salt will be sprinkled, lightly, on the area in need. A drop or two of dish soap in water, or in the vinegar will be plenty.
There should not be a need to reapply, unless it rains.
https://www.gardeningknowhow.com/plant-problems/weeds/using-organic-herbicides.htm
https://www.gardeningknowhow.com/special/organic/homemade-pet-friendly-weed-killer.htm