Use the symmetric property to flip the sides of the equation.
Divide everything by 5.
Dianne's profit from selling magazine subscriptions varies directly with the number of subscriptions sold. Dianne made $30 from
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Answer:
Step-by-step explanation:
<em>Step 1: Re-state the problem in an easier way to set up a permutation problem</em>
"The numbers 1,6,8,13,15,20 can be placed in the circle below, each exactly once, so that the sum of each pair of numbers adjacent in the circle is a multiple of seven"
The series above can be represented again, in form of:
7a + 1, 7b - 1, 7c + 1, 7d - 1, 7e + 1, 7f - 1
with a, b, c, d, e, f are non-negative integers.
=> 3 numbers are multiply of 7 plus 1
=> 3 numbers are multiple of 7 minus 1
<em>Step 2: Perform the counting:</em>
For the 1st number, there are 6 ways to select
To satisfy that each pair of numbers creates a multiple of 7, then:
For the 2nd number, there are 3 ways left to select
For the 3rd number, there are 2 ways left to select
For the 4rd number, there are 2 ways left to select
For the 5th number, there are 1 way left to select
For the 6th number, there are 1 way left to select
=> In total, the number of possible ways to select:
N = 6 x 3 x 2 x 2 x 1 x 1 = 72
However, these numbers are located around a circle, each option is counted twice.
=> The final number of possible ways:
N = 72/2 = 36
Hope this helps!
:)
The circumference is 26
To find this we must start by finding the radius of the circle. You can find this using the formula for area adjusted to find the radius.
r =
Then when we plug the area in for A, we get the radius to be 13.
We can then use that number in the circumference formula which is below.
C = 2r
Using that we can find the circumference to be 26
To find this we must start by finding the radius of the circle. You can find this using the formula for area adjusted to find the radius.
r =
Then when we plug the area in for A, we get the radius to be 13.
We can then use that number in the circumference formula which is below.
C = 2
Using that we can find the circumference to be 26