Top answers

a x 10^4 + a x 10^2 = 24 240 where a is a number. Work out a x 10^4 - a x10^2 Give your answer in standard form.

From first principles: ax10^4 is the same as a0000. ax10^2 is the same as a00 So, a0000 a00 a0a00 If we look at this pattern and compare to the number in the question: a0a00 | | 24240 the a0 corresponds to t...
JB
Answered by Joe B. • Maths tutor
13235 Views

Solve the following simultaneous equations: 4x+y=10 and 2x-3y=19

To begin to solve this question, we need to re-arrange the equations presented so they both appear in terms of 3y=. This will allow us to get a value for y and thus a value for x. First re-arrange the first ...
HW
Answered by Hugh W. • Maths tutor
10251 Views

Solve this pair of simultaneous equations. 5x + 2y = 20 x + 4y= 13

One way to solve simultaneous equations is to express x in terms of y (or vice versa) and solve your new equation to find one of the values. You can then substitute this into your equation to work out the ot...
NB
Answered by Ned B. • Maths tutor
4653 Views

Text books are stored on two shelves. Each shelf is 0.72m long. Each textbook is 30 millimetres wide. Could 50 textbooks be stored on these shelves? (3 marks)

None caluclator paper, so you know that the divisions/multiplications will be relatively simple. First thing to do is convert both measurements we have into the same units (in this case millimetres). We shou...
SD
Answered by Sophia D. • Maths tutor
4118 Views

Show that 6sin(60◦) + 5tan(60◦) can be written in the form √k where k is an integer.

sin(60◦) = √3 /2 tan(60◦) = √3 6sin(60◦) + 5tan(60◦) = 3√3 + 5√3 = 8√3 = √64√3 = √192
AG
Answered by Alistair G. • Maths tutor
4387 Views