Answer:
-4 / 9
Step-by-step explanation:
n - 2 = 10n + 4/2
n - 10n = 4/2 + 2
-9n = 4/2 + 4/2 ( taking LCM of 4/2 and 2)
-9n = 8/2
-9n = 4
n = 4 / -9
therefore n = -4 /9 ( since the minus sign doesn't make a difference whether placed at numerator or denominator) .
Answer:
21/2
Step-by-step explanation:
![\frac{3}{4}\times\:14\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:14=\frac{14}{1}\\=\frac{3}{4}\times\frac{14}{1}\\\\\mathrm{Cross-cancel\:common\:factor:}\:2\\=\frac{3}{2}\times\frac{7}{1}\\\\=\frac{3\times\:7}{2\times\:1}\\\\=\frac{21}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%5Ctimes%5C%3A14%5C%5C%5C%5C%5Cmathrm%7BConvert%5C%3Aelement%5C%3Ato%5C%3Afraction%7D%3A%5Cquad%20%5C%3A14%3D%5Cfrac%7B14%7D%7B1%7D%5C%5C%3D%5Cfrac%7B3%7D%7B4%7D%5Ctimes%5Cfrac%7B14%7D%7B1%7D%5C%5C%5C%5C%5Cmathrm%7BCross-cancel%5C%3Acommon%5C%3Afactor%3A%7D%5C%3A2%5C%5C%3D%5Cfrac%7B3%7D%7B2%7D%5Ctimes%5Cfrac%7B7%7D%7B1%7D%5C%5C%5C%5C%3D%5Cfrac%7B3%5Ctimes%5C%3A7%7D%7B2%5Ctimes%5C%3A1%7D%5C%5C%5C%5C%3D%5Cfrac%7B21%7D%7B2%7D)
We have been that frequency (y) varies inversely with wavelength (x).
We know that two inversely proportional quantities are in form
, where a is inversely proportional to b and k is constant of variation.
Our required equation would be
.
To find frequency of blue light, we will substitute
and
in our equation as:
![y=\frac{175,720}{230}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B175%2C720%7D%7B230%7D)
![y=764](https://tex.z-dn.net/?f=y%3D764)
Therefore, the frequency of blue light is 764.