4+10+9:3

To solve the expression \( 4 + 10 + 9:3 \), we need to follow the order of operations (often remembered by the acronym PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

In this expression, "9:3" means "9 divided by 3", which we will calculate first:

1. Division: \( 9 \div 3 = 3 \)

Now substitute this back into the expression:

\( 4 + 10 + 3 \)

Next, perform the additions:

1. Addition: \( 4 + 10 = 14 \)
2. Further Addition: \( 14 + 3 = 17 \)

Thus, the final result is:

\[ 17 \]