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Why do you need simultaneous equations?

This is an example of a simultaneous equation - 2X + Y = 5X + 3Y = 10 You can think of X and Y as apples and oranges from a market. You know that if you buy 2 apples and 1 orange it cost £5, but this does...

Answered by Amelia G. • Maths tutor

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Raya buys a van for £8500 plus VAT at 20%.Raya pays a deposit for the van. She then pays the rest of the cost in 12 equal payments of £531.25 each month. Find the ratio (in simplest form) of the deposit Raya pays to the total of the 12 equal payments.

Raya buys a van for £8,500 x 1.2 = £10,200. Total of 12 equal payments = 12 x £531.25 = £6375. Raya's deposit = £10,200 - £6375 = £3825. Ratio of the dep...

Answered by Andrew B. • Maths tutor

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A ladder of length 4.5m is leaning against a wall. The foot of the ladder is 2.3m from the base of the wall. What is the angle the ladder makes with the wall?

This is an application of trigonometry. The right angle in this case is between the wall and the floor and the hypotenuse is the ladder. The angle between the wall and the ladder can using the sine of the...

Answered by Nicci F. • Maths tutor

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Answer quadratic equation in the simplest surd form/ exact from. 5-2x-x^2=0

5-2x-x²=0x²+2x-5=0 (moving everything over to the other side)then using the quadratic formula (to use a whiteboard during interview)a=1, b=2, c=-5x=(-2 +/- √(2^2 - 4x1x-5))/(2x1)x=(-...

Answered by Seun O. • Maths tutor

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Show that (x + 1)(x + 3)(x + 5) can be written in the form ax^3 + bx^2 + c^x + d where a, b, c and d are positive integers.

The way to go about a question like this is to break it down into steps; rather than trying to multiply all the brackets at once expand two first then multiply by the third. ------------------------------...

Answered by Mohammed Burhan A. • Maths tutor

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