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xxMikexx [17]
3 years ago
13

A machine is used to fill each of several bags with 16 ounces of sugar. If the bag

Mathematics
1 answer:
amm18123 years ago
6 0

Answer: 15.7oz < M < 16.3oz

Step-by-step explanation:

The average mass of each bag will be 16oz

If the bag weighs 0.3 oz more or less than 16 oz, then it is rejected.

Then the extremes are:

16oz - 0.3oz = 15.7oz (this mas counts as a rejected one)

So we have that the mass of the bag must be larger than 15.7oz

M > 15.7oz

Now, the other extreme is:

16oz +0.3oz = 16.3oz (again, this a rejected mass)

Then the mass of the bag must be smaller than 16.3oz

M < 16.3oz

Then the range of the accepted mass of the bags is:

15.7oz < M < 16.3oz

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The total number of fish bought was 320. And you know she bought two types of fish. The best way to solve this is guess and check. It would be the fastest. So she bought 7 times as many trigger-fish as parrot fish that means the number of trigger-fish bought was 7p. This means 320 = 7p +p. So all you do is take educated guesses for the number of parrot fish and check if it is right. So if she bought 50 parrot fish. 7(50) + 50 = 400. Close but a bit high. Lets keep guessing. 7(35) + 35 = 245. So now we know the answer is between 50 and 35. So lets try 40. 7(40) + 40 =320. That works so we know she bought 40 parrot fish and 280 trigger-fish.
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