To determine how many T-shirts the baseball team can buy with their budget of $265, we first need to divide the total amount of money by the cost of each T-shirt.
The cost of one T-shirt is $7, so we perform the following calculation:
\[ \text{Number of T-shirts} = \frac{\text{Total money}}{\text{Cost per T-shirt}} = \frac{265}{7} \]
Calculating this gives:
\[ 265 \div 7 = 37.8571 \]
Since we can only buy whole T-shirts, we round down to the nearest whole number, which is 37 T-shirts.
Next, we calculate how much money will be spent on 37 T-shirts:
\[ \text{Total cost} = \text{Number of T-shirts} \times \text{Cost per T-shirt} = 37 \times 7 = 259 \]
Now, we find out how much money will be left over after purchasing the T-shirts:
\[ \text{Money left over} = \text{Total money} - \text{Total cost} = 265 - 259 \]
Calculating this gives:
\[ \text{Money left over} = 6 \]
Therefore, the baseball team will have \(\boxed{6}\) dollars left over after buying as many T-shirts as possible.
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