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Calculate 7.6 x 32.5

Treat both numbers as whole numbers - i.e 76 x 325 (remember at the end that there are still decimals!) 76 x 325 = 24,700 ( This will be explained by using the two lines by 1st method or method that the s...

JH
Answered by James H. Maths tutor
3123 Views

x = 0.436363636... (recurring). Prove algebraically that x can be written as 24/55.

We need to multiply x by powers of 10 in order to get the recurring part on its own after the decimal point, and then be able to eliminate it. 10x = 4.363636... and 1000x = 436.363636...So subtracting we ...

JP
Answered by Joanna P. Maths tutor
26934 Views

solve x^2 - 2 < 2

Change the inequality to an equalsx2 -2=2solve as normalx2 -2=2-2x2 -4=0factorise(x-2)(x+2)=0so x=-2 and x=2However, how do you know if the answer is bigger or smaller tha...

AM
Answered by Alicia M. Maths tutor
3183 Views

A cylinder of base radius 2x and height 3x has the same volume as a cone of base radius 3x and height h. Find h in terms of x.

The equation for the volume of a cylinder is (1/2)pi(r2)*H, where r is the radius and H is the height of the cylinder. For the cylinder given, the volume is therefore (1/2)pi(...

GF
Answered by Georgie F. Maths tutor
6472 Views

Solve the following simultaneous equations: 6a + b = 16; 5a - 2b = 19

There are 2 methods in solving this set of equations, in order to find the 2 unknowns: (a) and (b). Method 1: Firstly rearrange equation 1 to make (b) the subject: b = 16 - 6a. This can then be substitute...

DC
Answered by Doroti C. Maths tutor
3617 Views

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