Find dy/dx by implicit differentiation. x2 − 4xy + y2 = 4
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Answer:
The fraction of all shapes which are square in shape is .
Step-by-step explanation:
Given that , in a game , white and black shapes are used. Some of them are circle in shape and remains are square in shape.
The ratio of white to black shapes are 5:11.
Consider 5x= the number of shapes which are white in color.
11x= The number of shapes which are black in color.
There are (5x+11x)= 16x shapes in the game.
The white circle and white square are in the ratio 3:7.
The number of white square is
The black circles and black square are in the ratio 3:8
The number of black square is
=8x
Therefore the total number of shape which are square is
The fraction of all shape are square is
30 ounces of the coffee John likes consists of
ounces of water
ounces of cocoa
To this mixture we're adding ounces of water, so that the new mix has a total volume of
ounces and matches the composition of the coffee Lily likes. This means it would consist of
ounces of water
ounces of cocoa (same amount of cocoa as before because pure water is being added)
Solve for :
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Just to confirm: the new mixture consists of
ounces of water
ounces of cocoa
giving a total volume of ounces of coffee, and
, as required.