Answer: 35.88
Step-by-step explanation: So if something is marked up by 8.7% it means, it is 108.7% of the original number.
So we can convert 108.7% to a decimal by dividing 108.7 by 100, which equals 1.087.
So if we want to find the original number, all we have to do is divide 39 by 1.087.
This will give us 35.88 as the original number rounded to the nearest tenth.
There are many ways to solve number 5 as it is just an reduce/enlargement of equidistant fractions
The first method that came up to my mind is just dividing denominators.
For A) you can do 72 divided by 18 which would give you 4. Then you can divide the given numerator with the answer you got from dividing the denominators. This would be 8 divided by 4 which would give you two. This means that 2/18 is equal to 8/72. You can check by simplifying the fraction. Both 2/18 and 8/72 equal 9 when simplified, therefore correct.
You can use this method for b, either use a calculator because of the decimals or just remove the decimals and replace them later. Make sure when you use this method, you are always dividing the bigger number. So in B you would do 40.3 divided by 12.4
Answer:
Part a) List of even vertices: K,L,M,O
List of odd vertices: J,N
Part b) Adjacent to K : J and L
Part c) Degree of L = 4
Step-by-step explanation:
To find the degree of a vertex, simply count the number of segments that end up in that particular vertex. You may even draw a little circle around each vertex to visualize the segments that go through it to reach the vertex.
If the number of segments is an odd number, the vertex is odd.
If the number of segments is even, the vertex is even.
See below the list of degrees of the vertices in your example and their degrees:
J (3)
K (2)
L (4)
M (2)
N (3)
O (2)
The last question now is also answered since the degree of (number of segments ending in) vertex L is 4.