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Sarah plans to paint a rectangular wall of dimensions 8.7m x 2.3m. A tin of paint costs £16.10 and covers 6 metres squared. Sarah has a budget of £56, can she afford to paint the wall? Explain your reasoning.

(This question would appear on the calculator paper of GCSE Maths) The first step is to calculate the total area of the rectangular wall by multiplying the width and height of the wall: Area (rectangle) = Wi...
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Answered by Rob S. • Maths tutor
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A straight line runs through these two coordinates (1,5) and (4,7), find the equation of the line.

Given that the equation is a straight line we know that it will take the form of y = mx + c with m as the gradient and c as the y-intercept. We can find the slope by doing (y 1 - y 2 )/(x 1 -x 2 ) = m , if w...
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Answered by Daniel R. • Maths tutor
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How do you find the volume of a cylinder?

pi x r 2 x height
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Answered by Will C. • Maths tutor
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Solve the simultaneous equations 3x=2y and 2xy=12

Answer:x=-2, y=-3 or x=2, y=3 Explanation:We can rewrite 2xy=12 as (2y)x=12, and since we know that 2y=3x, we can substitute this in to get the following equation: 3x^2 = 12. Solving this we get that x=2 or ...
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Answered by Scarlett S. • Maths tutor
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Solve the equation x^2 + 3x - 10 = 0

Identify a, b and c based in the GENERAL FORM OF A QUADRATIC EQUATION: ax 2 + bx + c (= 0) ax 2 + bx + c = 0 x 2 + 3x - 10 = 0, so a = 1, b = 3 and c = -10 Rule 1: List factors of c in pairs [Factors of 10 a...
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Answered by Emmanuel A. • Maths tutor
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