on dividing $200 between A and B such that twice of A's share is less than 3 times than B's share by $20
1 answer:
Answer:
Share of A is $116 and Share of B is $84.
Step-by-step explanation:
Let the share of A be
Let the share of B be
Given:
$200 is shared between A and B
So,
Also given;
twice of A's share is less than 3 times than B's share by $20
Solution:
Now multiplying equation 1 by 3 we get,
Now Adding equation 2 and equation 3 we get
Now Substituting the value of x in equation 1 we get,
Hence, Share of A is $116 and Share of B is $84.
You might be interested in
Notice the picture,
recall your SOH, CAH, TOA
you have,
opposite side, 165
adjacent side, 50
and the angle
that means, we'll need Mrs. tangent
thus
![\bf tan(\theta)=\cfrac{opposite}{adjacent}\implies tan(\theta)=\cfrac{165}{50} \\ \quad \\ tan^{-1}\left[ tan(\theta) \right]=tan^{-1}\left[ \cfrac{165}{50} \right] \\ \quad \\ \theta=tan^{-1}\left[ \cfrac{165}{50}\right] \\ \uparrow \\ \textit{angle of elevation}\iff\textit{angle of depression}](https://tex.z-dn.net/?f=%5Cbf%20tan%28%5Ctheta%29%3D%5Ccfrac%7Bopposite%7D%7Badjacent%7D%5Cimplies%20tan%28%5Ctheta%29%3D%5Ccfrac%7B165%7D%7B50%7D%0A%5C%5C%20%5Cquad%20%5C%5C%0A%20tan%5E%7B-1%7D%5Cleft%5B%20tan%28%5Ctheta%29%20%5Cright%5D%3Dtan%5E%7B-1%7D%5Cleft%5B%20%5Ccfrac%7B165%7D%7B50%7D%20%5Cright%5D%0A%5C%5C%20%5Cquad%20%5C%5C%0A%5Ctheta%3Dtan%5E%7B-1%7D%5Cleft%5B%20%5Ccfrac%7B165%7D%7B50%7D%5Cright%5D%0A%5C%5C%20%5Cuparrow%20%20%5C%5C%0A%20%5Ctextit%7Bangle%20of%20elevation%7D%5Ciff%5Ctextit%7Bangle%20of%20depression%7D)
recall your SOH, CAH, TOA
you have,
opposite side, 165
adjacent side, 50
and the angle
that means, we'll need Mrs. tangent
thus
<h3>Ratio of length of red ribbon to blue ribbon is 9 : 8</h3>
<em><u>Solution:</u></em>
Given that,
Robin is making bows to sell at her mother's yard sale
From given,
<em><u>What is the ratio of the length of red ribbon to blue ribbon?</u></em>
Thus ratio of length of red ribbon to blue ribbon is 9 : 8