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There are 45 pupils in a class, 1/9 travel to school by train, 2/5 travel to school by car, 2/9 take the bus. Find how many students walk

First the number of children that travel by train can be found by dividing 45 by 9 to give 5. Since we know that double as many take the bus, as 2/9 is the double of 1/9,5x2=10 children take the bus. Then...

KS
Answered by Karina S. Maths tutor
12910 Views

x is inversely proportional to P. When P = 6, x =2. What does x = when P = 4?

We know x is inversely proportional to P, so immediately we know their relationship is of the form x = k/P , where k is a constant. We are also given some conditions we can use to solve for k: when x = 2,...

AS
Answered by Alec S. Maths tutor
3391 Views

What is the general solution to the equation d2y/dx2 + dy/dx - 2y = -3sinx + cosx (d2y/dx2 signals a second order derivative)

The first step is to find the complementary function, yc, which is done by setting up a quadratic based upon the differential equation of the form m^2 + m -2 = 0 (i.e m^2 = d2y/dx2, m = dy/dx, and y is a ...

AS
8652 Views

Split the following expression into partial fractions of the form A/(x-3) + B/(4x+2) : (19x-15)/(4x+2)(x-3)

Set the expression equal to the form required in the solution. Multiply both sides by (4x-2)(x-3) to get rid of the denominator and acquire an expression of the form: 19x-15 = A(4x+2) + B(x-3). From here ...

AS
Answered by Alec S. Maths tutor
4259 Views

How should I structure my essays?

When writing essays you should always think PEEL. One of the most frequent and very avoidable mistakes is not actually answering the question that has been asked; the PEEL structure will ensure you avoid ...

AO
Answered by Adele O. English tutor
2386 Views

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