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Expand and simplify: 5(x + 3) - 3(y - 2)

To expand the brackets you need to multiply each item inside with the number on the outside. The first bracket is expanded as follows: 5 x = 5x, 5 3 = 15, therefore 5x + 15. There is a minus sign in front of...
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Answered by Arabella L. • Maths tutor
10897 Views

How do I do simultaneous equations?

example: solve the simultaneous equations 3x+2y=4 and 2x+y=3 1: 3x+2y=4 2: 2x+y=3 want to either get same number of x's or same number of y's in equation 1 and equation 2 easiest way to do this is by making ...
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Answered by Cerys S. • Maths tutor
4268 Views

A school has a number of students. One is chosen at random; the probability that the student is female is 2/5. Knowing that there are 174 male students, work out the total number of students in the school.

This is a simple yet standard GCSE question, especially in non-calculator papers. The solution is simple: if the student is picked at random, then the probability 2/5 must represent a ratio where the other s...
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Answered by Adam M. • Maths tutor
4930 Views

Shampoo is sold in two sizes. 1) 500 ml for £1.98 2) 3 litres for £12.80 (now 15% off). Which is better value for money?

Firstly we need to work out the new price of the 3 litres of shampoo after 15% has been taken off. Let's use the three step method for percentages. 100% is £12.80 £12.80/ 100= £0.128 1% is £0.128 £0.128 x 85...
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Answered by Francesca N. • Maths tutor
4969 Views

How do you factorize a quadratic equation which has a coefficient of x^2 other than 1?

Factorise 6x 2 + x - 2 = 0 Firstly, multiply the coefficient of x 2 by the last number: 6 x -2 = -12 List all the factors of 12 and see which pair adds/subtracts to make 1: Factors of 12: [1,12] [2,6] [3,4] ...
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Answered by Aleezeh A. • Maths tutor
3239 Views