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Factorise 15r+10

Step 1) look at the numbers Both 15 and 10 are factors of 5 step 2 ) look at the letters there is only one letter 'r' after the 15 step 3) there is only one possible thing that can be factorised out therefor...
JL
Answered by Judy L. • Maths tutor
10646 Views

How do I solve a simple simultaneous equation?

Simultaneous equations pop up all the time in maths, science, and engineering, so being able to solve them is really useful. Although they can look a bit daunting at first, the same general rules apply to so...
JM
Answered by Joe M. • Maths tutor
5372 Views

Solve the equation log(1-x) - log(x) = 1 where log() is the logarithmic function, base 10.

From the rules of logarithms, we know that: log(A) - log(B) = log(A/B) and thus: log(1-x) - log(x) = log[(1-x)/x] Therefore from the question, we know: log[(1-x)/x] = 1 If we then take both sides of the equa...
JD
Answered by Joshua D. • Maths tutor
22842 Views

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...
TP
Answered by Tom P. • Maths tutor
11119 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 ...
TP
Answered by Tom P. • Maths tutor
7165 Views