The answer is C
Explanation: distributive property, multiply 4 (the number outside the parenthesis) times the numbers inside of it, 4•3x=12x and 4•4x=16x
Answer:
Step-by-step explanation:
83bc i did the test
So you would change 4 4/5 to 4 8/10 and then do 4-2=2 and 8/10 - 1/10= 7/10 so the work is 2 7/10
Answer:
![h\:=\:\:\frac{-\pi \:kr\:+\:S}{\pi \:r}](https://tex.z-dn.net/?f=h%5C%3A%3D%5C%3A%5C%3A%5Cfrac%7B-%5Cpi%20%5C%3Akr%5C%3A%2B%5C%3AS%7D%7B%5Cpi%20%5C%3Ar%7D)
Step-by-step explanation:
Given the expression
![S=\pi \:r\left(h+k\right)\:](https://tex.z-dn.net/?f=S%3D%5Cpi%20%5C%3Ar%5Cleft%28h%2Bk%5Cright%29%5C%3A)
![S=\pi \:r\left(h+k\right)\:](https://tex.z-dn.net/?f=S%3D%5Cpi%20%5C%3Ar%5Cleft%28h%2Bk%5Cright%29%5C%3A)
Flip the equation
![\pi r\left(h+k\right)\:=\:S](https://tex.z-dn.net/?f=%5Cpi%20r%5Cleft%28h%2Bk%5Cright%29%5C%3A%3D%5C%3AS)
Apply distributive law: ![a\left(b+c\right)=ab+ac](https://tex.z-dn.net/?f=a%5Cleft%28b%2Bc%5Cright%29%3Dab%2Bac)
Add -πkr to both sides
![\pi hr+\pi kr+\left(-\pi kr\right)=S+\left(-\pi kr\right)](https://tex.z-dn.net/?f=%5Cpi%20hr%2B%5Cpi%20kr%2B%5Cleft%28-%5Cpi%20kr%5Cright%29%3DS%2B%5Cleft%28-%5Cpi%20kr%5Cright%29)
![\pi hr\:=\:-\pi kr\:+\:S](https://tex.z-dn.net/?f=%5Cpi%20hr%5C%3A%3D%5C%3A-%5Cpi%20kr%5C%3A%2B%5C%3AS)
Divide both sides by πr
![\pi hr\:/\:\pi r\:=\:\:\frac{-\pi \:kr\:+\:S}{\pi \:r}](https://tex.z-dn.net/?f=%5Cpi%20hr%5C%3A%2F%5C%3A%5Cpi%20r%5C%3A%3D%5C%3A%5C%3A%5Cfrac%7B-%5Cpi%20%5C%3Akr%5C%3A%2B%5C%3AS%7D%7B%5Cpi%20%5C%3Ar%7D)
![h\:=\:\:\frac{-\pi \:kr\:+\:S}{\pi \:r}](https://tex.z-dn.net/?f=h%5C%3A%3D%5C%3A%5C%3A%5Cfrac%7B-%5Cpi%20%5C%3Akr%5C%3A%2B%5C%3AS%7D%7B%5Cpi%20%5C%3Ar%7D)
Therefore, we conclude that:
![h\:=\:\:\frac{-\pi \:kr\:+\:S}{\pi \:r}](https://tex.z-dn.net/?f=h%5C%3A%3D%5C%3A%5C%3A%5Cfrac%7B-%5Cpi%20%5C%3Akr%5C%3A%2B%5C%3AS%7D%7B%5Cpi%20%5C%3Ar%7D)
Answer:
6,265 votes
Step-by-step explanation:
The residents of a city voted on whether to raise property taxes. The ratios of yes votes to no votes was 5 to 7. If there were 10,740 total votes, how many no votes were there?
Given that :
Ratio of yes votes to no votes = 5 to 7
Yes votes : no votes = 5 : 7
Total votes = 10,740
The actual number of yes votes and no votes can be obtained thus :
Sum of ratio = (5 + 7) = 12
(ratio of vote / sum of ratio) * total votes
Number of no votes :
(Ratio of no votes / total ratio) * total votes
(7 / 12) * 10,740
0.5833333 * 10,740
= 6,265 votes
Number of no votes = 6,265 votes.