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Rearrange y=(3x+5)/x to make x the subject

This question is asking us to make x the subject, so we’re aiming to end up with just x on its own on one side of the equation. Firstly, we need to get rid of the x on the bottom of the right-hand side, s...

CK
Answered by Chloe K. Maths tutor
6547 Views

Solve to find sin x , 4cos^2 + 7sin x -7 =0

4cos2 x + 7 sinx - 7 =0 we know that sin+ cos2 = 1 so 4(1-sin2x) + 7sinx -7 = 0 if we times out the brackets -4sin2x + 7 sinx -3 =0 4sin2

JP
Answered by Jo P. Maths tutor
3412 Views

Find a and b (both real) when (a+b*i)^2=i.

Every complex number has a real and imaginary part. For the complex number z=a+bi the notation for real and imaginary parts respectively are Re(z)=a and Im(z)=b. If you know thi...

UA
Answered by Urte A. Maths tutor
1601 Views

Expand and simplify (x+4)(x-3)

We need to multiply out each bracket and it is best to do this systematically, multiplying each term in the left hand bracket by each term in the right hand bracket. (x+4)(x-3) = (X x X) + (X x -3) + (4 x...

EM
Answered by Eleanor M. Maths tutor
30861 Views

There are 300 passengers on a plane, 7/20 of them are men, 30% are women, the rest are children. Work out the number of children.

300 x (7/20) = 300/20 x 7 = 15 x 7 = 105 = number of men on the plane.

300 x 0.3 = 90 (Or 300/10 x 3) = number of women on the plane.

105 + 90 = number of adults on the plane = 195.

3...

HT
Answered by Hannah T. Maths tutor
4885 Views

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