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The work in an office takes 200 hours to complete every week. Each person in the office works 35 hours a week. What is the smallest number of people needed to complete the work?

To answer this question we need to divide the hours needed to complete work (200) by how much a person works a week (35). The key aspect of this question that catches people out is that when dividing 200 by ...
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Answered by Tom P. • Maths tutor
7147 Views

Express 0.545454... as a fraction in its simplest form.

First, we are going to give our decimal a name, let's call it x. We notice that x repeats after two digits, so how about we look at 100x. 100x = 54.54545454... But, the decimal part of this number is what we...
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Answered by Felix S. • Maths tutor
32286 Views

Solve x^2-5*x+6=0

There are 2 methods we can use here. Method 1 - Factorisation If we can rewrite the equation so that it looks like (x+a)*(x+b)=0, where 'a' and 'b' are numbers, then we can easily find a solution. If one or ...
HD
Answered by Hannah D. • Maths tutor
8646 Views

expand the brackets (x+5)(x+3) furthermore what are the two values of x

X 2 +3X+5X+15 Take the first X in the first bracket and multiply by every number or letter in the second bracket. Take the Second number in the first bracket and multiply by every number or letter in the sec...
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Answered by Shaun W. • Maths tutor
10703 Views

Prove that the difference of any two consecutive square numbers is odd

It is important we first define what we mean by an odd and even number. An even number is any integer (whole number) number divisible by 2 so we can express any even number as 2x where x is any integer. When...
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Answered by Amar H. • Maths tutor
70682 Views