Evaluate the expression for a=3, b=5, and c=10. (You will get a single number for your answer.)

Question

6a+4b −3c= [what answer}

Show every step.

Answer 1

To evaluate the expression \( 6a + 4b - 3c \) given \( a = 3 \), \( b = 5 \), and \( c = 10 \), we can follow these steps:

1. Substitute the values of \( a \), \( b \), and \( c \) into the expression:

   \[ 6(3) + 4(5) - 3(10) \]

2. Calculate each term separately:

   • For the first term: \[ 6 \times 3 = 18 \]

   • For the second term: \[ 4 \times 5 = 20 \]

   • For the third term: \[ 3 \times 10 = 30 \]

3. Now substitute these values back into the expression:

   \[ 18 + 20 - 30 \]

4. Perform the addition and subtraction from left to right:

   • First, add \( 18 \) and \( 20 \): \[ 18 + 20 = 38 \]

   • Then subtract \( 30 \) from \( 38 \): \[ 38 - 30 = 8 \]

Therefore, the final result is:

\[ \boxed{8} \]