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A sequence increases by 5 each time and the first term is x. The sum of the first four terms is 54. Set up and solve an equation to work out the value of x.

The first term is x, and if it increases by 5 each time then the second term is x+5, third is x+10, and the fourth is x+15. Adding these values together we get 4x+5+10+15, and this equals 54. Therefore; 4x+3...
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Answered by Tom P. • Maths tutor
11184 Views

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
7224 Views

What is Homeostasis?

Homeostasis is the maintenance of a constant internal environment within the body . This sounds quite confusing but don’t panic – in simpler terms, homeostasis is the process which works to keep the conditio...
YW
16719 Views

Given a^2 < 4 and a+2b = 8. Work out the range of possible values of b. Give your answer as an inequality.

For this question, we want to start by finding the possible values of a from the first equation and then using that to give us information about b from the second equation. Now, the condition that a^2 &lt; 4...
FS
10198 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
32400 Views