Final answer:
Using the divisibility rule for 9, which states that a number is divisible by 9 if the sum of its digits is also divisible by 9, we find that the number 341,046 (Option A) is divisible by 9.
Step-by-step explanation:
To determine which number is divisible by 9, we can use the divisibility rule for 9: A number is divisible by 9 if the sum of its digits is also divisible by 9. Let's apply this rule to each option provided.
- A. 341,046: The sum of the digits is 3+4+1+0+4+6=18, which is divisible by 9.
- B. 705,895: The sum of the digits is 7+0+5+8+9+5=34, which is not divisible by 9.
- C. 684,001: The sum of the digits is 6+8+4+0+0+1=19, which is not divisible by 9.
- D. 941,875: The sum of the digits is 9+4+1+8+7+5=34, which is not divisible by 9.
Therefore, the number that is divisible by 9 is 341,046 (Option A).