Patel bought a 2 lb bag of Trail Mix he poured 1/2 pound of trail mix into a bowl and divided the remaining amount into bags each bag had 2 oz of Trail Mix how many bags did paddle use

Patel used 0.125 lb bags

Step-by-step explanation:

Given that:

Patel bought 2 lb bag of Trail Mix

He then poured 1/2 pound of trail mix into a bowl

1/2 × 2= 1

i.e he poured 1 lb bag of the trail mix into a bowl

Then he divide the remaining amount into  bags in which each bag had 2 oz of trial mix.

Now; we knew that after he poured 1 lb bag of the trail mix into a bowl; there will be 1 lb bag remaining

So, he divide this remaining 1 lb bags into bags in which each bags contains 2 oz of the trail mix

So; what we need to find out is that , how many oz makes one lb

from the the conversion tables

16 oz = 1 lb

and it was said that each bag contain 2 oz

that implies that :

if;        16 oz = 1 lb

Then:   2 oz = x lb

16 oz * x lb = 2 oz * 1 lb

x lb = (2 oz * 1 lb )/16 oz

x lb = 0.125 lb

Thus; Patel used 0.125 lb bags

tell you what. i'll find the length of the medians and you can fill in the blanks where they belong.

br

b = (2a,0)

r = (a/2,b/2) remember these things are medians. they go to the 1/2 way point of the line opposite the vertex they face.

br^2 =   (2a - a/2)^2 + (0 - b/2)^2

br^2 = (3/2 a) ^2 + b^2 / 4

br^2 = 9/4 a^2 + b^2 / 4   we need to find some relationship between a and b.

let's try ab = bc  

ab = 2a

bc = (2a - a)^2 + (b - 0)^2

bc = sqrt(a^2 + b^2)

ab = bc

2a = sqrt(a^2 + b^2) square both sides.

4a^2 = a^2 + b^2 subtract a^2 from both sides.

sqrt(3a^2) = sqrt(b^2)

sqrt(3)a = b

let's put b into br^2

br^2 = 9/4 a^2 + 3b^2 / 4

br^2 = 12 a^2 / 4

br^2 = 3a^2 

br = sqrt(3) * a

cp

c = (a,b) ; p = (a,0) this is another application of the distance formula, and it is a good one.

cp^2 = (a - a)^2 + (b - 0)^2

cp^2 = 0 + b^2

cp^2 = b^2 which you can see from the diagram. 

cp = sqrt(b^2)

cp = b but b = sqrt(3) * a 

cp = sqrt(3)*a

aq

a = (0,0)

q = (3/2) a, b/2

aq^2 = (3a/2 -0)^2 + (b/2 - 0)^2

aq^2 = 9a^2/4 + b^2/4

but b = sqrt(3) * a 

aq^2 = 9a^2 / 4 + (sqrt(3)*a)^2 /4

aq^2 = 9 a^2/ 4 + 3 a^2 / 4

aq^2 = 12 a^2/4

aq^2 = 3 a^2

aq = (sqrt  3) * a which agrees with the other two.