To find our solution, we can start off by creating a string of 27 boxes, all followed by the letters of the alphabet. Underneath the boxes, we can place 6 pairs of boxes and 15 empty boxes.The stars represent the six letters we pick. The empty boxes to the left of the stars provide the "padding" needed to ensure that no two adjacent letters are chosen. We can create this -
Thus, the answer is that there are
ways to choose a set of six letters such that no two letters in the set are adjacent in the alphabet. Hope this helped and have a phenomenal New Year!
<em>2018</em>
<u>Answer:</u>
∠VWT = 131°
<u>Explanation:</u>
∠VWT is equal to ∠UTW because they are Alternate inner angles. Since they are equal, we know that the measure of ∠VWT is 131°.
Hoped this helped!
Answer:
non-Proportional
Step-by-step explanation:
It doesn't go through the origin (0,0)
36.89 total divided by the 8.6 gallons he bought = 4.2 so the price per gallon would be $4.20
Answer:
<em>The salesperson's commission for this month is $3,803</em>
Step-by-step explanation:
<u>Percentages</u>
Let's call x to the sales volume, not including commission.
The salesperson is paid an 8.25% commission on sales, thus the total invoice is x + 8.25%x = x + 0.0825x = 1.0825x
We are given this total invoice, thus:
1.0825x = $49,900
Dividing by 1.0825:
x = $46,097
The salesperson's commission is
0.0825*$46,097=$3,803
The salesperson's commission for this month is $3,803
