Answer:
n = 20.
Step-by-step explanation:
The external angles of a polygon add up to 360 degrees. So:
30 + 42 + 16(n - 2) = 360 where n is the number of sides of the polygon.
16n + 30 + 42 - 32 = 360
16n + 40 = 360
16n = 320
n = 20.
Answer:
$467.77
Step-by-step explanation:
CHECK THE COMPLETE QUESTION
Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5 1/2% of the selling price. A.How much commission will the salesperson earn by selling a couch for $495?
B.How much money will the store get from the sale of the couch?
From the question, the commission of the salesperson is 5 1/2 % , we can convert to improper fraction as 11/5%, then we can convert to decimal by dividing the numerator by denominator which is 5.5% , we can convert from percentage by saying(5.5%/100)
= 0.055
A)How much commission will the salesperson earn by selling a couch for $495?
His Commission will be
(0.055 x $495 )
= $27.23
B.How much money will the store get from the sale of the couch?
Since we know this Commission as $27.23, then the amount the store get from sale will be
(difference between the commission and the selling price)
($495.00- $27.23)
= $467.77
Answer:
Step-by-step explanation:
0.2x + 2.7x - 8.1 = 6.9 + 1.1x
0.2x + 2.7x - 1.1x = 6.9 + 8.1
1.8x = 15
x = 15/1.8
x = 8.33
Answer:
All numbers can be written as a product of the prime numbers that conform them.
A) Find two numbers with a common factor of 3 only.
for example:
2*3 = 6
7*3 = 21
Both numbers have the factor 3 in them, and because the other two numbers are primes, we can be sure that the 3 is the only common factor.
B) Write a pair of numbers with a common factor of 2, 3 and 6.
Here we can write:
2*3*2 = 12
3*2*5 = 30
Those two numbers have the common factors 6, 2 and 3.
C) Write a pair of numbers with common factors of 3, 6 and 9.
3*2*3 = 18 (has the factors 2, 3, 3*2 = 6, 3*3 = 9)
-3*2*6 = -36
Both have the common factors 3, 6 and 9 (and they share more common factors like 2, this happens because 6 = 3*2, so if 6 is a common factor, 2 also must be)