I'm assuming you mean to have a 500 cal/day deficit? That would be either through exercise, diet, or both. A pound of fat is relatively equal to 3500 calories so with a 500 cal/day deficit, you might lose up to 1 pound per week. The real fact is there are too many variables to predict your fat loss, but a calorie deficit should cause you to lose weight.
Yes. As long as you eat less than you burn, you will lose weight!
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Well yes, you lose weight by burning more calories then you consume, and vitamins will help replace the nutrients you are missing since you are cutting calories.
It all depends on how much exercsie you are doing and how many calories you are burning in comparison to how many you are taking in.
Yes You can lose weight eating anything as long as you are burning more calories than you are taking in.
You lose weight by burning off your stored calories. If you take in more calories than you use, you gain weight, but if you use more calories than you take in, you lose weight.
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It all depends on how much exercise you are putting in and how many calories you are burning.
To lose one solid pound of weight, you need to burn 3,500 more calories than you consume. So burning 2,000 calories means you burnt about 2/3 of a pound.
This workout can definitely be a fast way to lose weight if you are consistent in your workouts and burning more calories than you are consuming.
If you burn more calories than you consume, then yes. If you're weight is currently constant based on your current food consumption, then it is a fair assumption that you will lose weight by running (i.e. burning more calories) and consuming the same amount (and type) of food (i.e. consuming the same number of calories).
That really depends on a persons body. there are many factors that come into play when it comes to burning calories. Size weight, and overall health can make quite a differance in burning calories wether walking or running.