Direct variation means y=kx (inverse variation is yx=k or y=k/x)
so we are given that:
75=k/2, so k=150 which means:
y=150x now
y(2.25)=150(2.25)=337.5
Answer:
36
Step-by-step explanation:
Let the original quantity of marbles of the bag be y.
![\frac{2}{3} (\frac{1}{2} )y=12](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%28%5Cfrac%7B1%7D%7B2%7D%20%29y%3D12)
y=36
Answer:
9
Step-by-step explanation:
use the formula m = y2- y1 / x2 - x1
Check the picture below.
so the shape is really 4 triangles with a base of 2 and a height of 4 each, and 2 squares tha are 4x4.
![\bf \stackrel{\textit{area of the 4 triangles}}{4\left[\cfrac{1}{2}(2)(4) \right]}~~+~~\stackrel{\textit{area of the two squares}}{2(4\cdot 4)}\implies 16+32\implies 48](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Barea%20of%20the%204%20triangles%7D%7D%7B4%5Cleft%5B%5Ccfrac%7B1%7D%7B2%7D%282%29%284%29%20%5Cright%5D%7D~~%2B~~%5Cstackrel%7B%5Ctextit%7Barea%20of%20the%20two%20squares%7D%7D%7B2%284%5Ccdot%204%29%7D%5Cimplies%2016%2B32%5Cimplies%2048)
0.15 * 20 = 3
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