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The difference in the ratio of Aidan's to Seth's sweets is 4-2=2 To find the scale factor to multiply up the ratio by, we divide the true difference in Aidan's and Seth's sweets by the difference in the r...

Pythagorus' Theorem: A² + B² = C²

Therefore... 1.5² + B² = 6.8²  

= 2.25 + B² = 46.24

B² = 46.2...

Take a look at the expression below:

x² + 4x + 3

To complete the square you have to focus on the number before the x or the (x coefficient).

In this case, this number is 4....

Moving Ln to one side ln(2x^2 +9x-5) -  ln( x^2+2x-15) =1 Subtracting Ln is the same as dividing ln(((2x^2 +9x-5)/( x^2+2x-15)) ln((2x-1)/(x-3))=1 Taking e to both sides (2x-1)/(x-3)=e x=(1-3e)/(2-e)

Profit is (New price-Original price)/Original price . As a fraction it is percentage Profit/100. Equate (New price-Original price)/Old Profit to the fraction of Profit in %/100. Cross multiply and come up...