Mrs. Ebert feeds her dog 1/3 of a cup of dog food twice each day. How long will 6 cups of dog food last?

Mrs. Ebert feeds her dog a total of 1/3 + 1/3 = <<1/3+1/3=2/3>>2/3 cup of dog food per day.

Thus, 6 cups of dog food will last 6/(2/3) = 6 * (3/2) = <<6/(2/3)=9>>9 days. Answer: \boxed{9}.

Yes, that is correct. 6 cups of dog food will last for 9 days.

To find out how long 6 cups of dog food will last, we need to calculate the daily consumption of the dog and then divide it into the total amount of dog food.

Mrs. Ebert feeds her dog 1/3 of a cup of dog food twice each day.

So, the dog consumes a total of 1/3 + 1/3 = 2/3 of a cup of dog food per day.

Now, we divide 6 cups of dog food by 2/3 cup per day:

6 cups / (2/3 cup/day) = 6 * (3/2) = 18/2 = 9 days

Therefore, 6 cups of dog food will last 9 days.

so, 9 days?

To determine how long 6 cups of dog food will last, we need to consider the amount of food the dog consumes per day.

Mrs. Ebert feeds her dog 1/3 of a cup of dog food twice each day. Therefore, the dog's total daily consumption is:

1/3 cup + 1/3 cup = 2/3 cup

The dog eats 2/3 cup of dog food each day.

Now, to find out how many days 6 cups of dog food will last, we divide the total amount of dog food by the daily consumption:

6 cups ÷ (2/3 cup/day)

To divide by a fraction, we need to multiply by its reciprocal:

6 cups × (3/2 cup/day) = 9 days

Therefore, 6 cups of dog food will last the dog 9 days.