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Adam buys 4kg of sweets and pays £10 for them. Adam puts all of the sweers into bags with 250g in each bag. He sells the bags for 70p each. All the bags of sweets are sold, what is the percentage profit?

First you would figure out how many bags of sweets Adam made, this would be done by converting 4kg into grams (x1000) so 4 x 1000 = 4000g. Then you would divide the 4000g by 250g to see that 16 bags of sw...

AS
Answered by Anton S. Maths tutor
3430 Views

Using a suitable substitution, or otherwise, find the integral of [x/((7+2*(x^2))^2)].

The point of using a substitution when dealing with integrals is to reduce the problem from a very complicated integral to a simplistic one. How can we achieve this with our integral? Well, we know that w...

GF
Answered by George F. Maths tutor
4325 Views

The polynomial f(x) is defined by f(x) = 18x^3 + 3x^2 + 28x + 12. Use the Factor Theorem to show that (3x+2) is a factor of f(x).

The factor theorem states that if (x+a) is a factor of f(x), then f(-a)=0. This basically means that if (x+a) is a factor of f(x), then when (x+a)=0, f(x)=0, i.e. when x=-a, f(-a)=0. Our (x+a) in this cas...

GF
Answered by George F. Maths tutor
3823 Views

Use simultaneous equations to find the points where the following lines cross: 3x - y = 4 and x^2 + 7y = 5

The points where the lines cross are the points where the two equations equal each other. To do this we solve simultaneous equations. Call equations as follows:(a) 3x - y = 4(b) x2 + 7y = 5 Fir...

EM
Answered by Emma M. Maths tutor
3250 Views

Make y the subject of the formula: p = √x+y/5

P is currently the subject of the formula, y needs to be isolated. To do so first we need to get rid of the square root on the right side of the formula. Opposite to square root is square, so if we square...

HM
Answered by Hannah M. Maths tutor
9944 Views

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