5 + 5 ( × 30 ÷ 40)

To solve the expression \( 5 + 5 \times (30 \div 40) \), you need to follow the order of operations (PEMDAS/BODMAS):

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

First, we perform the division inside the parentheses:

\[ 30 \div 40 = 0.75 \]

Now, substitute back into the expression:

\[ 5 + 5 \times 0.75 \]

Next, perform the multiplication:

\[ 5 \times 0.75 = 3.75 \]

Now, substitute this result back into the expression:

\[ 5 + 3.75 \]

Finally, perform the addition:

\[ 5 + 3.75 = 8.75 \]

So, the final result is \( \mathbf{8.75} \).