Answer: Required expression: ![\dfrac{[ (86) + 0.18 \times(86 ) + 0.06 \times (86 )]}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5B%20%2886%29%20%2B%200.18%20%5Ctimes%2886%20%29%20%2B%200.06%20%5Ctimes%20%2886%20%29%5D%7D%7B4%7D)
Each person need to pay =$ 26.66
Step-by-step explanation:
Given: Bill amount = $86
Tip percent = 18%
Sales tax = 6%
Now, total bill = (Bill amount ) + 18% of (Bill amount ) + 6% of (Bill amount )
= $[ (86) + 18% of (86 ) + 6% of (86 )]
= $[ (86) + 0.18 x(86 ) + 0.06 x (86 )]
Total persons = 3+1 = 4
Each person need to pay= 
![=\dfrac{[ (86) + 0.18 \times(86 ) + 0.06 \times (86 )]}{4}\\\\=\dfrac{[ (86) (1+ 0.18 +0.06 )]}{4}\\\\=\dfrac{86(1.24)}{4}=\dfrac{106.64}{4}=26.66](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%5B%20%2886%29%20%2B%200.18%20%5Ctimes%2886%20%29%20%2B%200.06%20%5Ctimes%20%2886%20%29%5D%7D%7B4%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%5B%20%2886%29%20%281%2B%200.18%20%20%2B0.06%20%29%5D%7D%7B4%7D%5C%5C%5C%5C%3D%5Cdfrac%7B86%281.24%29%7D%7B4%7D%3D%5Cdfrac%7B106.64%7D%7B4%7D%3D26.66)
So, each person need to pay =$ 26.66
Answer:
O U ⊆ A ∪ B True
O U ⊆ A ∩ B False
O A ∪ B ⊆ U True
O B ⊆ U True
O A ⊆ U True
O A ∩ B ⊆ U True
Step-by-step explanation:
To prove the first part
Remember that any set is a subset of the universal set. Therefore it is true that
Now, given any 
it is true that
Now according to the information given initially
And then you know that
Therefore 
and using double inclusion
.
Now using the information just exposed
O U ⊆ A ∪ B True
O U ⊆ A ∩ B False
O A ∪ B ⊆ U True
O B ⊆ U True
O A ⊆ U True
O A ∩ B ⊆ U True
Step-by-step explanation:
First add.2 subtract.3 thats youre answer i think
Answer:
Step-by-step explanation:
Circumscribed means written around the outside. -scribe means writing and
think of how circumference is the distance around the outside of a circle. It is a little more special and specific...all the segments that make the triangle are tangents to the circle, that is, they only touch the circle at one point.
So the circle is inscribed-- that is, written inside of the triangle (in the same, special specific way).
Circle A is inscribed in triangle RST.
<h3>The two possible values for x are x = 60 and x = -9</h3>
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Explanation:
Let's assume that x is the largest value of the list. If so then x = 60 because
range = max - min
range = x - 1
range = 60-1
range = 59
Effectively, you work backwards to go from a range of 59 to have x = 60 as the max.
So x = 60 is one possible value. We can't have x any larger or the range would be larger.
But we can have x be smaller. Specifically, it would be the min of the list. If negative x values are allowed, then x = -9 is the other possible x value
Here's why
range = max - min
range = 50 - x
range = 50 - (-9)
range = 50+9
range = 59
