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Ber [7]
2 years ago
5

Consider the following 8 numbers, where one labelled

Mathematics
1 answer:
AlladinOne [14]2 years ago
7 0
<h3>Answers:     x = -17  and   x = 64</h3>

====================================================

Explanation

Consider three scenarios:

  • A) The value of x is the smallest of the set (aka the min)
  • B) The value of x is the largest of the set (aka the max)
  • C) The value of x is neither the min, nor the max. So 8 < x < 39.

These scenarios cover all the possible cases of what x could be. It's either the min, the max, or somewhere in between the min and max.

--------------------

We'll start with scenario A.

If x is the min, then that must mean 39 is the max as it's the largest of the set {18, 36, 16, 39, 27, 8, 34}

The range is 56, so,

range = max - min

56 = 39 - x

56+x= 39

x = 39-56

x = -17  which is one possible answer

--------------------

If instead we go with scenario B, then x is the max and 8 is the min

range = max - min

56 = x - 8

56+8 = x

64 = x

x = 64 is the other possible answer

--------------------

Lastly, let's consider scenario C. If x is not the min or the max, then it's somewhere between the min 8 and max 39. in short, 8 < x < 39.

Note that range = max - min = 39-8 = 31 which is not the range of 56 that we want. So there's no way scenario C can be possible here.

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Step-by-step explanation:

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Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$45 thousand less than twice that of an
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<h2>$58500</h2>

Step-by-step explanation:

 let the degree holder earn  x

 then a masters degree holder earns= (2x-45,000)

the comnined amount of the two degree holders=   (2x-45,000)+x

2x-45000+x=117000

3x=117000+45000

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