Answer:
17.5
Step-by-step explanation:
The ratio of "pure drug" to liquid is 35:150
Therefore to evaluate for 75 mls we get the ratio 75/2150 or simply 1/2
we can then multiply 35 by the ratio 1/2
35/2=17.5
State the answer
In 75 mls there are 17.5 grams of pure drug
check your Unit Circle for the values of at 180°
![cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ cos(180-x)=-cos(x) \\\\[-0.35em] ~\dotfill\\\\ cos(180^o-x)\implies cos(180^o)cos(x)+sin(180^o)sin(x) \\\\\\ (-1)cos(x)+(0)sin(x)\implies -cos(x)](https://tex.z-dn.net/?f=cos%28%5Calpha%20-%20%5Cbeta%29%3D%20cos%28%5Calpha%29cos%28%5Cbeta%29%20%2B%20sin%28%5Calpha%29sin%28%5Cbeta%29%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20cos%28180-x%29%3D-cos%28x%29%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20cos%28180%5Eo-x%29%5Cimplies%20cos%28180%5Eo%29cos%28x%29%2Bsin%28180%5Eo%29sin%28x%29%20%5C%5C%5C%5C%5C%5C%20%28-1%29cos%28x%29%2B%280%29sin%28x%29%5Cimplies%20-cos%28x%29)
80-45+5+2=42
Your answer is 42
Let b repesent the amount Timmy has invested in bonds. Then b/3 represents the amount Timmy has invested in stocks. His earnings are
158.40 = 0.05*b + 0.07*(b/3)
158.40 = (0.22b)/3 . . . . . . . . . . combine terms
158.40*3/0.22 = b = 2160
Timmy has $2160.00 invested in bonds.
