Answer :

To determine how much food John's dog will eat in 13 days, let's go through the problem step-by-step:

1. Understand the daily consumption:
- The dog eats [tex]\( \frac{a}{10} \)[/tex] kilograms of food each day.

2. Calculate the total food intake over 13 days:
- To find out how much food the dog will consume over 13 days, we need to multiply the daily consumption by the number of days.
- The daily food consumption is [tex]\( \frac{a}{10} \)[/tex].
- The number of days is 13.

3. Set up the multiplication:
- Total food consumed in 13 days = Daily consumption [tex]\(\times\)[/tex] Number of days
- Total food consumed in 13 days = [tex]\( \frac{a}{10} \times 13 \)[/tex]

4. Perform the multiplication:
- [tex]\( \frac{a}{10} \times 13 = \frac{13a}{10} \)[/tex]

Therefore, the total amount of food the dog will eat in 13 days is [tex]\( \frac{13a}{10} \)[/tex] kilograms.