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5 Footballs and 3 tennis balls cost £2.30, 4 Footballs and 2 tennis balls cost £1.80. What is the total cost of 1 football and 1 tennis ball?

(simple algebraic substitution equations)
assign each an algebraic term to form equations > footballs = f, tennis balls = tequation 1 > 5f + 3t = £2.30equation 2 > 4f + 2t = £1.80
(you ...

Answered by Troy C. • Maths tutor

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Rationalise the denominator of 14 / 2 + root3

The denominator in this equation is irrational. This can be seen by the fact that we have a surd (root 3) present, which cannot be expressed as a fraction as is therefore not rational.
In order to r...

Answered by Emily T. • Maths tutor

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write (3.2 x 10^4) - (5 x 10^3) in standard form

In order to do this question you want to make sure that both parts of the subtraction are multiplied by the same power of 10.In this case let's make the second part in terms of 10^4. So it becomes 0.5 x 1...

Answered by Edward G. • Maths tutor

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[Higher] Simplify the following expressions: x^7 X x ^5 and (x^-2)^-3

For the first part, when we are multiplying a number of two different powers (here being 7 and 5), we must add the powers in order to simplify the expression. So here x⁷ * x⁵ = x

Answered by Zak S. • Maths tutor

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[Foundation} y = 4x - 3t. x = 2 and t = 5. Work out the value of y.

We know y = 4x - 3t. We are given the values of x and t and we need to work out the value of y. So we shall substitute the given values of x and t to work out y. y = 4 X 2 - 3 X 5, and so using the laws o...

Answered by Zak S. • Maths tutor

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