Top answers

I want to pave my patio, which has dimensions of 6m by 8m. I'm going to pave it with stones that have dimensions of 50cm by 50cm. Each tile costs £1.50. How much will paving my patio cost me?

My patio has an area of 6 8 m , so 48m 2 . Each tile has an area of 0.5 0.5 m, so 0.25m 2 . To find the number of tiles we need, we divide the area of the patio by the area of one tile: 48/0.25 = 192 tiles E...
DL
Answered by Danny L. • Maths tutor
3312 Views

Integrate ((5x^3) + ((2x)^-1) + (e^2x))dx.

int(5x 3 + (2x) -1 + e 2x )dx =int(5x 3 )dx + int((2x) -1 )dx + int(e 2x )dx int(5x 3 )dx = (5/4)x 4 + c where c is the constant of integration int(2x -1 )dx = (1/2)ln(2x) + d where d is another constant of ...
DL
Answered by Danny L. • Maths tutor
5140 Views

Fully simplify (8a^2b * ab^4)/(2a^3b^2)

8a 3 b ab 4 2a 3 b 2 (can write this more clearly by hand using whiteboard) First go about seperating and collecting terms. Begin with the top line. 8 remains the same as there are no other known numbers. We...
AI
Answered by Archie I. • Maths tutor
4609 Views

Given that x(a+bx)(a-bx)=25x-4x^3, what is the value of b^(-a)? a,b>0

It's a two part question. First Part Expand the equation the left hand side to get a^(2)*x-b^(2)*x^3 thus comparing co-efficients a^2=25 and b^2=4 thus a= 5 b=2 Second Part Therefore b^(-a) is equal to 2^(-5...
CP
Answered by Cameron P. • Maths tutor
10609 Views

Solve the inequality 7x+3y-4 > 5y-19x for y in terms of x.

7x+3y-4 > 5y-19x Adding 19x to both sides: 26x+3y-4 > 5y Subtracting 3y from both sides: 26x-4 > 2y Divide both sides by 2 to put the expression in its simplest form: 13x-2 > y or (remembering to...
DL
Answered by Danny L. • Maths tutor
4314 Views