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Mixed number -> top heavy fraction: 4 + 5/7 = ((47)+5)/7 = (28+5)/7 = 33/7 2+ 1/3 = ((23)+1)/3 = (6+1)/3 = 7/3 Common denominator by multiplying by each others: 33/7 = (333)/(73) = 99...

Step 1: Identify Variables: 5x, 3x, Step 2: take the smaller one to other side with change in sign: 5x-3x-11= 3 Step 3: Take constants to other side with change in sign: 5x-3x = 3 +11 Step 4: Simplify on ...

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Put Area = Circumference

Pi x r x r = 2 x Pi x r

Using Cancellation of equations,

r = 2

Important: Trial and error takes time - Cannot do while doing a gra...

3/5 of Cake = 5 x 150 g, Cake Weight = 5/3 x 750 g = 1250g

Important, it is not required to calculate the weight of cake given to you. The inverse of "remaining" fraction can directly giv...

y=ln([2x-1/2x=1]^1/2)- can be written as y= [0.5ln(2x-1)]-[0.5ln(2x+1)] due to laws of logs. Take first term -- (0.5ln(2x-1)) and substitute 2x-1 for u. so u=2x-1 and y=0.5lnu Now dy/du=1/2u and du/dx=2. ...