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There are 10 sides, therefore there are 10 options each roll for what side could be shown. In probability, this means we put 10 as the denominator in the fraction. Now the condition is that a 1 is shown a...

This question is all to do with substitution. First, rewrite the question but in instead of writing x and y, put brackets. It will look like this: 5( ) -3( ) Now inside the brackets where x and y would go...

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 ...

(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) =...

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...