1. 14.4 km, 2. 25.2 km, 3. 37.8 km
<h3>
Answers: x = -17 and x = 64</h3>
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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.
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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
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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
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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.
Degrees (not like celsius or temperature though)
You have to use PEMDAS, it stands for parenthesis, exponents, multiplication, division, addition, and subtraction. So first you have to subtract the numbers in the parenthesis which is -3.5 (9/18=1/2). Since there are no exponents or multiplying or dividing, we skip those. Now, we do 5-1/3 and we get 4 2/3. Lastly, add 4 2/3 and -3.5(which is equal to -3 1/2). We get 2 1/6=13/6=1.166666667
I hope this helps!
