<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.
The volume of the prism that its faces is made from 6 identical squares is 48 cm³.
<h3 /><h3>Volume of a square prism</h3>
A square prism is a 3-dimensional cuboid where the base and top are equal squares.
where
a = side length
h = height
Therefore,
a = 2 cm
h = 12 cm
Therefore,
v = a²h
v = 2² × 12
v = 4 × 12
v = 48 cm³
learn more on prism here: brainly.com/question/3533018
Answer:
72
Step-by-step explanation:
6(5+7)
6(12)
72
GCF is 6
Use the distributive property by factoring out 6, like I did above
The correct answers are A, B, D, E, F, and H.
Please see the attached work for the cross multiplication work for each!