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Frank, Mary and Seth shared some sweets in the ratio 4:5:7. Seth got 18 more sweets than Frank. How many sweets were shared in total?

If you add 4+5+7 = 16, you can consider that Frank gets 4/16 of the sweets, Mary gets 5/16 and Seth gets 7/16. This because for every 4 sweets Frank gets, Mary gets 5 and Seth gets 7.

If there are ...

AP
Answered by Adam P. Maths tutor
8811 Views

Find the equation of the tangent to the curve y = (5x+4)/(3x -8) at the point (2, -7)

(Much easier to explain in conversation and with drawings): But, 

An application of the quotient rule, stating that for f(x)=a(x)/b(x), f'(x) = a'(x)b(x) - a(x)b'(x) all over [b(x))]^2 Here, a(x) =...

BR
Answered by Ben R. Maths tutor
5359 Views

"Where would a contemporary ancient Athenian audience's sympathies lie in Sophocles' Antigone: with Creon, Antigone, or both?"

Before tackling such a question, we should consider the context in which Sophocles was writing, and in which his play is set. Typically in fifth-century Athens, a mention of Thebes would be met with hosti...

CP
3326 Views

"In Tacitus, individuals are seldom virtuous without flaws or flawed without virtues, and the flaws are normally closely related to the virtues." Discuss.

What we first recognise about Tacitus and his characters is that, in spite of his notorious claim “consilium mihi pauca […] tradere […] sina ira et studio”, “my aim is to relate a few accounts without ang...

CP
Answered by Chester P. Latin tutor
1784 Views

make a the subject of p = (3a+5)/(4-a)

so step 1) remove the denominator by multiplying (4-a) by p. Therefore obtaining p(4-a) = 3a+5. step 2) multiply out to get 4p-ap = 3a+5 step 3) have all the a's on one side, and non a's on other side. th...

JW
Answered by Jamie W. Maths tutor
9923 Views

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