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Purple paint is made by mixing red paint and blue paint in the ratio 5 : 2 Yan has 30 litres of red paint and 9 litres of blue paint. What is the maximum amount of purple paint he can make?

the ratio given is 5:2simplify this ratio by diving 2 = 2.5 : 1 the maximum amount of blue paint is 9Lso multiply the whole ratio by 99 x 1 = 9.0L blue paint9 x 2.5 = 22.5L red paint add the two paints toget...
JL
Answered by Joseph L. • Maths tutor
18335 Views

simplify fully: (x^2+x-6)/(x^2-7x+10)

First, the numerator and denominator of the fraction need to be factorised:(x+3)(x-2)/(x-5)(x-2)The 'like' terms should then be crossed out; in the case above, it is the (x-2) brackets.(x+3) (x-2) /(x-5) (x-...
LL
Answered by Lili L. • Maths tutor
8729 Views

Expand (2x+3) (3x-1)

6x 2 + 7x - 3
DS
Answered by Dharshini S. • Maths tutor
3401 Views

f(x) = 2x^2 + 7x + 6 . factorize this equation

2x 2 + 7x + 6 step 1: find 2 numbers which times to make 12 and add to make 7, ans 3 and 4 step 2: rewrite equation as follows. 2x 2 +4x +3x +6step 3 factorize into: 2x(x+2) + 3 ( x+2) step 4: (2x+3)(x+2) co...
MJ
Answered by Mikey J. • Maths tutor
6504 Views

Integrate the function x(2x+5)^0.5

integrate using substitution: (I = the symbol for integration)let u = 2x + 5 therefore x = (u - 5)/2 du/dx = 2 which means that du = 2dx ---> dx = 1/2 duThis means that the integral now = I((u - 5)/2 x u ...
DP
Answered by Danielle P. • Maths tutor
6039 Views