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Let a = 4b + 5(c - b). Find the value of c when a = 8 and b = 7.

a = 4b + 5(c - b) - question8 = (4*7) + 5(c - 7) - insert values given in question8 = 28 + 5c -35 - multiply and expand brackets8 - 28 + 35 = 5c - take away 28 from the left and right-hand side of the equati...
GH
Answered by George H. • Maths tutor
4513 Views

Solve the equation 18x^2-3x=6

First put the equation into the correct form by setting it to 0:18x^2-3x-6=0Look for the common factor in the equation and take it out:3(6x^2-x-2)Using the grid method (which I would show on whiteboard) fact...
GH
Answered by Grace H. • Maths tutor
5267 Views

Expand and simplify (x-4)(2x+3y)^2

Firstly, expand out the (2x+3y)^2 as (2x+3y)(2x+3y).Multiplying each term in the first bracket with each term from the second bracket gives 4x^2+6xy+6xy+9y^2 which simplifies to 4x^2+12xy+9y^2 by adding the ...
AW
Answered by Annie-May W. • Maths tutor
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0.15^2 x (1-0.15)^3 to 2 s.f

BIDMASFirst must donwhat is inside the brackets1-0.15 = 0.85Next must do the indices 0.85^3= 0.6141250.15^2 =0.0225Then multiply0.0225 x 0.614125 = 0.01381781shorten to 2 s.f0.014
FM
Answered by Francesca M. • Maths tutor
3067 Views

The population of a town in 2014 was 80058. This was a 65% increase on its population in 1994. What was the population in 1994?

Firstly, look at what the question is asking you to find out. You need to work out the population from 1994. You are told that there was an increase from 1994 to 2014. Therefore you can take the population i...
CM
Answered by Clare M. • Maths tutor
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