Answer:
![R = \frac {3ST}{2S + T}](https://tex.z-dn.net/?f=%20R%20%3D%20%5Cfrac%20%7B3ST%7D%7B2S%20%2B%20T%7D%20)
Step-by-step explanation:
Given the equation;
![\frac {3}{R} - \frac {1}{S} = \frac {2}{T}](https://tex.z-dn.net/?f=%20%5Cfrac%20%7B3%7D%7BR%7D%20-%20%5Cfrac%20%7B1%7D%7BS%7D%20%3D%20%5Cfrac%20%7B2%7D%7BT%7D%20)
Rearranging the equation, we have;
![\frac {3}{R} = \frac {2}{T} + \frac {1}{S}](https://tex.z-dn.net/?f=%20%5Cfrac%20%7B3%7D%7BR%7D%20%3D%20%5Cfrac%20%7B2%7D%7BT%7D%20%2B%20%5Cfrac%20%7B1%7D%7BS%7D%20)
Lowest common multiple (LCM) of S and T is ST.
![\frac {3}{R} = \frac {2S + T}{ST}](https://tex.z-dn.net/?f=%20%5Cfrac%20%7B3%7D%7BR%7D%20%3D%20%5Cfrac%20%7B2S%20%2B%20T%7D%7BST%7D%20)
Cross-multiplying, we have;
![3ST = R(2S + T)](https://tex.z-dn.net/?f=%203ST%20%3D%20R%282S%20%2B%20T%29%20)
Making R, the subject of formula;
![R = \frac {3ST}{2S + T}](https://tex.z-dn.net/?f=%20R%20%3D%20%5Cfrac%20%7B3ST%7D%7B2S%20%2B%20T%7D%20)
Answer:
ㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋ:)
Step-by-step explanation:
Easy
219/3=73Beats per minute
if the minute hand of the <u>circular clock</u> is 28 inches, that simply means its radius is 28.
![\bf \textit{area of a circle}\\\\A=\pi r^2~~\begin{cases}r=radius\\[-0.5em]\hrulefill\\r=28\end{cases}\implies A=\pi 28^2\implies A=784\pi](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20circle%7D%5C%5C%5C%5CA%3D%5Cpi%20r%5E2~~%5Cbegin%7Bcases%7Dr%3Dradius%5C%5C%5B-0.5em%5D%5Chrulefill%5C%5Cr%3D28%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Cpi%2028%5E2%5Cimplies%20A%3D784%5Cpi)
so it covers that much in 1 rotation, so in 4 rotations that'd be 4(784π) => 3136π.
Answer:
Dave:
$20 + 8% of 20 = $21.6
Dave payed a total of $21.6 for the basketball.
Mel
$28 + 8% of 28 = $30.2
Mel payed a total of $30.2 for the football.
$30.2 - $21.6 = $8.6
The difference is $8.6.