Answer: -5/21.
Step-by-step explanation:
![\frac{2}{5}*[\frac{-3}{7} +(\frac{-1}{6})]=\frac{2}{5} *(-\frac{3}{7} -\frac{1}{6}) =\frac{2}{5}*(-\frac{3*6+1*7)}{7*6} )=\frac{2}{5}*(-\frac{18+7}{42})=\frac{2}{5}*(-\frac{25}{42})=-\frac{5}{21} .](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%2A%5B%5Cfrac%7B-3%7D%7B7%7D%20%2B%28%5Cfrac%7B-1%7D%7B6%7D%29%5D%3D%5Cfrac%7B2%7D%7B5%7D%20%2A%28-%5Cfrac%7B3%7D%7B7%7D%20-%5Cfrac%7B1%7D%7B6%7D%29%20%3D%5Cfrac%7B2%7D%7B5%7D%2A%28-%5Cfrac%7B3%2A6%2B1%2A7%29%7D%7B7%2A6%7D%20%20%29%3D%5Cfrac%7B2%7D%7B5%7D%2A%28-%5Cfrac%7B18%2B7%7D%7B42%7D%29%3D%5Cfrac%7B2%7D%7B5%7D%2A%28-%5Cfrac%7B25%7D%7B42%7D%29%3D-%5Cfrac%7B5%7D%7B21%7D%20.)
Good luck an' have a nice day!
Answer:
The number is 12
Step-by-step explanation:
[] First, let's turn all these words into something mathematical. N will equal "my number"
-><u> If you add 12 to my number</u> and then multiply the result by 3, you will get 64 more than two-thirds of my number.
-> n + 12 <u>and then multiply the result by 3</u>, you will get 64 more than two-thirds of my number.
-> 3(n + 12), you will get 64 more than <u>two-thirds of my number</u>.
-> 3(n + 12) = <u>64 more than</u> 
-> 3(n + 12) = 64 + 
[] Phew, okay. Now it is something we can solve and less scary;
[Given]
3(n + 12) = 64 + 
[Distribute]
3n + 36 = 64 + 
[Multiply both sides by 3]
9n + 108 = 192 + 2n
[Subtract 108 and 2n from both sides]
7n = 84
[Divide both sides by 4]
n = 12
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Find the common denominator of 5/6 and 3/4 then add
interior angle of a regular 18-gon.
It is easier to calculate the exterior angle of a regular polygon of n-sides (n-gon) by the relation
exterior angle = 360/n
For a 18-gon, n=18, so exterior angle = 360/18=20 °
The value of each interior angle is therefore the supplement, or
Interior angle = 180-20=160 degrees.
Naming of a 9-gon
A polygon with 9 vertices is called a nonagon (in English) or enneagon (French ennéagone, but the English version is sometimes used)
You had a good start with the correct answer.
Exterior angle of a 15-gon
The exterior angle of a 15-gon can be calculated using the relation given in the first paragraph, namely
Exterior angle = 360/15=24 degrees
Answer:
12 and 8
Step-by-step explanation:
set two numbers as x and y
mean of 10 → x+y/2=10
range of 4 → x-y=4
x+y=20
+ x-y=4
____________
2x=24, x=12
12-y=4, y=8