To determine whether Jessica's budget of $50 is sufficient to buy a jacket and a hat, we need to add the cost of the jacket and the cost of the hat and compare the sum with her budget.
The cost of the jacket is $39.08 and the cost of the hat is $12.55, so the total cost of the two items is:
$39.08 + $12.55 = $51.63
The total cost of the jacket and the hat is $51.63, which is greater than Jessica's budget of $50. Therefore, Jessica does not have enough money to buy both the jacket and the hat while staying within her budget.
In order to stay within her budget of $50, Jessica would need to choose one item or the other, or look for items that cost less than the ones she has chosen.