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Express [1+4(square root)7] /[ 5+ 2(square root)7] in the form m + n (square root)7 , where m and n are integers.

Using a whiteboard would help greatly with this question so that the steps can be seen clearly.1) Multiply both the numerator and the denominator by 5 - 2(square root)7 2) FOIL the top half of the equation t...
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Answered by Ella W. • Maths tutor
7658 Views

Solve the simultaneous equations 3x + 2y = 4, 4x + 5y = 17

To solve this pair of simultaneous equation I will use the substitution method however the elimination method could also be used here. Eq1. 3x + 2y = 4 Eq2. 4x + 5y = 17 First rearrange Eq1. to find y on its...
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Answered by George H. • Maths tutor
5977 Views

Solve 5x/(2x+1) - 3/(x+1) = 1

This is an algebraic fractional equation. Dealing with algebraic equations and adding/subtracting fractions is not too bad, so we'll need to think about both when looking at this questions.1) Firstly, we nee...
JG
Answered by Jacob G. • Maths tutor
8319 Views

In a recent election, 42% of the voters were male. There were 400 more female voters than male voters. Assuming all voters are either male or female, how many voters were there overall?

Since 42% of voters are male, 58% must be female. Since 58-42 = 16, the difference of 400 represents 16% of the voters. We can then divide 400 by 16 to get 25, which represents 1% of the voters. 25 x 100 = 2...
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Answered by Peter O. • Maths tutor
3936 Views

I find the percentage questions really hard, how do I answer the questions that will come up in exams?

Percentages are a common way you can use maths in every day life. That's why, at GCSE level, there are a lot of questions that put the skills into the context of a real-life problem. Let's use an example, Ni...
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Answered by Sahar E. • Maths tutor
3739 Views