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Aidan, Emily and Seth shared some sweets in the ratio 2 : 7: 4 Seth got 16 more sweets than Aidan. Work out the total number of sweets they shared.

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 rati...
EC
Answered by Eleni C. • Maths tutor
4936 Views

A ladder 6.8m long is leaning against a wall, the foot of the ladder is 1.5m from the wall, find the height that the ladder reaches up the wall.

Pythagorus' Theorem: A 2 + B 2 = C 2 Therefore... 1.5 2 + B 2 = 6.8 2 = 2.25 + B 2 = 46.24 B 2 = 46.24 - 2.25 = 43.99 SqR of 43.99 = 6.63m [The height the ladder reaches up the wall].
TG
Answered by Tom G. • Maths tutor
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How do I complete the square

Take a look at the expression below: x 2 + 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. To complete the square you take t...
AM
Answered by Anant M. • Maths tutor
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ln(2x^2 +9x-5) =1+ ln( x^2+2x-15)

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)
RH
Answered by Raj H. • Maths tutor
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Clare buys some shares for $50x. Later, she sells the shares for $(600 + 5x). She makes a profit of x% (a) Show that x^2 + 90x − 1200 = 0

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 wi...
RH
Answered by Raj H. • Maths tutor
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