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solve; (6x - 2)/2 - (4x+7)/3 = 1-x

numerical answer x =-1/8 oe (or equivalent), but I am more interested in the method used My method simplify first fraction to 3x-1, multiply both sides by 3, collect like terms, divide through to get x on it...
RL
Answered by Ruth L. • Maths tutor
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There are N counters in a bag, 4 being red and the rest being blue. I take two counters at random from the bag (without replacing the first).The chance i take two blue counters is 1/3, See below in the answer box

Show that n^2-13n+30=0We note that 4/N denotes the probability of a me picking a red counter and (N-4)/N denotes the chance of me picking a blue counter.Since I select two counters and do not replace the fir...
RP
Answered by Roshan P. • Maths tutor
8288 Views

Using the diagram and your knowledge of vectors, show that BCD is a straight line

BC = BA - CA = (3a - b) - (a + 4b) = 2a - 5b BD = BA + AB = (3a - b) + (a - 9b) = 4a - 10b BC = 1/2 BD. Using basic vector rules, we know that if vectors are multiples, then they are parallel. Since BC and B...
JA
Answered by Jonathan A. • Maths tutor
19028 Views

Given a spinner divided in 3 sections numbered 1, 2 and 3, and that the arc of section 2 is double that of section one (~57.6 cm), calculate pi to 2 decimal places. The radius of the spinner is 30cm and the angle sub-intended by section 3 is 30 degrees.

Use angle of section 3 to get ratios of arcs: Realise either one of the arcs 1 or 2 will do.Calculate 360-30 / 3 to get 110 degrees for section 1.Calculate ratio of arcs for section 1: 11/36 Find pi: Multipl...
FC
Answered by Filipe C. • Maths tutor
3090 Views

Find the equation of the line L passing through (0, 3) and (5, 7). What would the gradient of a line perpendicular to this line be? What about a line parallel to it?

Since L is a straight line between two points, it has the form y=mx+c, where m is the gradient. To find m we use that it is the difference in y values of the points divided by the difference in x values, ie ...
VI
Answered by Victoria I. • Maths tutor
5336 Views