Answer:
(-4) (0)
Step-by-step explanation:
Answer:
answer -10
Step-by-step explanation:
<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.
Answer:
2 1/6 feet
Step-by-step explanation:
A carpenter has a board that is 8 feet long. He cuts off two pieces. One piece is 3 1/2 feet long and the other is 2 1/3 feet long. How much of the board is left?
Total length of the board = 8 feet
Piece A = 3 1/2 feet
Piece B = 2 1/3 feet
Piece A + piece B
= 3 1/2 feet + 2 1/3 feet
= 7/2 + 7/3
= (21+14) / 6
= 35/6
= 5 5/6 feet
Length of the board remaining = Total length of the board - length of the two pieces
= 8 feet - 35/6 feet
= (48-35) / 6
= 13/6 feet
= 2 1/6 feet
Length of the board remaining = 2 1/6 feet
