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x is an integer such that ‎1≤x≤9, Prove that 0.(0x)recurring=x/99

r=0.0 . x . r=0.0x0x0x0x.... 100r=x.0x0x0x (1) 10,000r=x0x.0x0x0x (2) (2) - (1): 9,900r=x00 r=x00/9,990 r=x/99
EE
Answered by Ellie E. • Maths tutor
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Bob sprints down a 100 metre track as fast as he can and as he arrives at the finish, a light gate cuts a timer that has been active since Bob began his sprint. It reads 12.45 seconds. calculate Bobs average speed during the sprint.

s=distance/time = 100/12.45 =8.03m/s
RW
Answered by Richard W. • Maths tutor
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Solve the equation (2x + 3 / x - 4) - (2x - 8 / 2x + 1) = 1

Solve the equation (2x + 3 / x - 4) - (2x - 8 / 2x + 1) = 1 Answer To start off, we must find the common denominator between the two fractions. When dealing with complex problems, which include letters and n...
JB
Answered by Jonathan B. • Maths tutor
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Solve these simultaneous equations. x^2+y^2=9, x-y+3=0

Rearrage so you have x+3=y, and x 2 +y 2 =9. Substitute the equation into another so you have x 2 +(x+3) 2 =9. Expand the brackets so that you have x 2 +x 2 +6x+9=9. Then you rearrange so it's all on one sid...
AB
Answered by Adam B. • Maths tutor
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How do I find out where two functions meet on a graph?

Both equations should be given with variables of y and x. They may however not be given in the form y=mx+c where m and c are constants, the equation could be given in the form of a circle (y-a) 2 +(x-b) 2 =r...
TR
Answered by Thomas R. • Maths tutor
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