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How many integers divisible by 6 lie between -30 and 39?​

User Chong
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Answer:

the answer is 11.

Explanation:

To find the number of integers divisible by 6 between -30 and 39, we need to find how many multiples of 6 are in this range.

The first multiple of 6 greater than -30 is -24 (which is 6 times -4), and the last multiple of 6 less than 39 is 36 (which is 6 times 6).

So, we need to count the number of integers between -4 and 6 (inclusive), because each of these integers multiplied by 6 will give us an integer in the range -30 to 39 that is divisible by 6.

There are a total of (6 - (-4) + 1) = 11 integers between -4 and 6 inclusive, so there are also 11 integers between -30 and 39 that are divisible by 6.

User Erndob
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