Answer :

Sure, let's solve this step-by-step!

1. Understanding the Daily Consumption:
- John's dog eats a certain amount of food each day. According to the information, the dog eats [tex]\( \frac{1}{10} \)[/tex] kilograms of dog food every day.

2. Determine the Number of Days:
- We need to calculate the total amount of food consumed over a period of 13 days.

3. Calculating the Total Food Consumption:
- To find out how much food the dog eats in 13 days, we simply multiply the daily consumption by the number of days.

4. Calculation:
- Daily food consumption = [tex]\( \frac{1}{10} \)[/tex] kilograms
- Number of days = 13

Therefore, total food consumption over 13 days can be calculated as:
[tex]\[ \text{Total food} = \left( \frac{1}{10} \right) \text{kg/day} \times 13 \text{ days} \][/tex]

5. Result:
- Calculating this multiplication gives us:
[tex]\[ \text{Total food} = 1.3 \text{ kilograms} \][/tex]

Hence, John's dog will eat 1.3 kilograms of dog food in 13 days.