Answer:
The fraction of income does Lakshmi donate to charity is
.
Step-by-step explanation:
Let us assume that the income of the Lakshmi be x.
As given
Lakshmi donates 20 % of her income to charity .
20% is written in the decimal form.
![= \frac{20}{100}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B20%7D%7B100%7D)
= 0.20
Lakshmi donates to charity = 0.20 × x
= 0.20x
![Fraction\ of\ Lakshmi\ income\ donate\ to\ charity = \frac{Lakshmi\ donates\ to\ charity}{Total\ income\ of\ Lakshmi}](https://tex.z-dn.net/?f=Fraction%5C%20of%5C%20Lakshmi%5C%20income%5C%20donate%5C%20to%5C%20charity%20%3D%20%5Cfrac%7BLakshmi%5C%20donates%5C%20to%5C%20charity%7D%7BTotal%5C%20income%5C%20of%5C%20Lakshmi%7D)
Putting the values in the above
![Fraction\ of\ Lakshmi\ income\ donate\ to\ charity = \frac{0.20x}{x}](https://tex.z-dn.net/?f=Fraction%5C%20of%5C%20Lakshmi%5C%20income%5C%20donate%5C%20to%5C%20charity%20%3D%20%5Cfrac%7B0.20x%7D%7Bx%7D)
![Fraction\ of\ Lakshmi\ income\ donate\ to\ charity = \frac{20}{100}](https://tex.z-dn.net/?f=Fraction%5C%20of%5C%20Lakshmi%5C%20income%5C%20donate%5C%20to%5C%20charity%20%3D%20%5Cfrac%7B20%7D%7B100%7D)
![Fraction\ of\ Lakshmi\ income\ donate\ to\ charity = \frac{1}{5}](https://tex.z-dn.net/?f=Fraction%5C%20of%5C%20Lakshmi%5C%20income%5C%20donate%5C%20to%5C%20charity%20%3D%20%5Cfrac%7B1%7D%7B5%7D)
Therefore the fraction of income does Lakshmi donate to charity is
.
Assuming the envelope consumption is proportional to the number of typists, you have ...
(12 dz)/36 = x/125
125*(12 dz)/36 = x = 41 2/3
An office of 125 typists would use 41 2/3 dozen envelopes per day.
6 people can be arranged in only 6 ways
Ummm I just need to answer questions sorry!!!
It is given in the question that, PA is a radius and AB is the tangent segment .
And in a circle, radius and tangent are always perpendicular, it means they form 90 degree with each other . Or angle PAB is a right angle .
And we cant say anything about the length s of PA and AB, neither of PA and PB.
So out of the four options, correct option is the third option .