Sure, let's evaluate the expression step by step.
The expression given is:
[tex]\[ 24 \div 3 + 7 \cdot 2 - 15 \div 5 + 6 \cdot 2 \][/tex]
1. First, perform the division and multiplication operations, according to the order of operations (PEMDAS/BODMAS rules):
- [tex]\(24 \div 3\)[/tex]
- [tex]\(7 \cdot 2\)[/tex]
- [tex]\(15 \div 5\)[/tex]
- [tex]\(6 \cdot 2\)[/tex]
2. Calculate each operation:
- [tex]\(24 \div 3 = 8\)[/tex]
- [tex]\(7 \cdot 2 = 14\)[/tex]
- [tex]\(15 \div 5 = 3\)[/tex]
- [tex]\(6 \cdot 2 = 12\)[/tex]
3. Now, substitute these values back into the expression:
[tex]\[ 8 + 14 - 3 + 12 \][/tex]
4. Perform the addition and subtraction from left to right:
- Add [tex]\(8 + 14\)[/tex]:
[tex]\[ 8 + 14 = 22 \][/tex]
- Subtract [tex]\(3\)[/tex] from [tex]\(22\)[/tex]:
[tex]\[ 22 - 3 = 19 \][/tex]
- Finally, add [tex]\(12\)[/tex] to [tex]\(19\)[/tex]:
[tex]\[ 19 + 12 = 31 \][/tex]
Therefore, the final value of the expression is:
[tex]\[ \boxed{31} \][/tex]
So, the best answer is:
C. 31
