\( 3 x+4 y \div 2 \) for \( x=7 \) and \( y=10 \)

Evaluate the expression by following steps: - step0: Evaluate: \(3x+4y\div 2\) - step1: Substitute: \(3\times 7+4\times 10\div 2\) - step2: Multiply the numbers: \(21+4\times 10\div 2\) - step3: Multiply the numbers: \(21+40\div 2\) - step4: Divide the numbers: \(21+20\) - step5: Add the numbers: \(41\) To evaluate the expression \( 3x + 4y \div 2 \) for \( x = 7 \) and \( y = 10 \), we follow these steps: 1. Substitute the values of \( x \) and \( y \) into the expression: \[ 3(7) + 4(10) \div 2 \] 2. Calculate \( 3(7) \): \[ 3(7) = 21 \] 3. Calculate \( 4(10) \): \[ 4(10) = 40 \] 4. Now, substitute these values back into the expression: \[ 21 + 40 \div 2 \] 5. Perform the division \( 40 \div 2 \): \[ 40 \div 2 = 20 \] 6. Finally, add \( 21 + 20 \): \[ 21 + 20 = 41 \] Thus, the result of the expression is \( 41 \).