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aalyn [17]
3 years ago
5

I WILL GIVE 11 POINTS BRAINIEST 5 STAR RATING HELP ME PLZ.

Mathematics
1 answer:
aalyn [17]3 years ago
6 0

(ab + 174)/3 <115

multiply by 3 on each side

ab + 174 < 345

subtract 174 from each side

ab < 171


248+ ab >366

subtract 248 from each side

ab> 118


Answer  118< ab < 171

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We could start by finding the lowest common multiple of 2, 3, 4, 5, and 6, which is 60. Then, we can consider the next few multiples: 120, 180, 240, 300...

However, because we need a remainder of 1 when our number is divided by each of these numbers (2,3,4,5,6), we want to go one above each of these multiples. So we're talking about 61, 121, 181, 241, 301... Those are the numbers that will satisfy the "remainder of 1" part of the question.

Now, we need to find out which one satisfies the other part of the question, which just requires dividing each of these numbers by 7 to see which is divisible by 7 (in other words, which one gives us a remainder of zero when we divide by 7). 

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