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Solve 10(x + 2) – (2x – 9) = 30

10(x+2) -(2x-9)=30; 10x+20-2x+9=30 paying attention to the sign change when solving the brackets; 8x+29=30; 8x=1 separating in order to find out x; x=1/8

Answered by Cristian E. • Maths tutor

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Factorise and simplify (6x-42)/((x^2)-49)

When we factorise, we are trying to put a long expression into a couple of brackets to make it neater and easier to work with. It is the opposite to multiplying out brackets. To start off with, we will fa...

Answered by Robert S. • Maths tutor

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If s=ut + 1/2 at^2 , a) make a the subject of the expression b) make u the subject of the expression c) if s=10, t=2 and u=4 find the value of a

a) s=ut + 1/2 at²Firstly , take the ut to the left hand side of the equation in order to isolate the 1/2 at².s-ut=1/2 at² Then multiply both sides by 2 to leave just at

Answered by Freddy Y. • Maths tutor

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Given that F(x) = X^2 - 10X + 17. Write F(x) in the form of (x+a)^2 + b = 0, where a, & b are constants.

So we know that our equation is: X²- 10X +17 = 0. STEP 1: rearrange this equation to get x on one side: X²- 10X = -17. Lets call this, "equation 1". STEP 2: Understand th...

Answered by Rumit M. • Maths tutor

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The Tour de France is 2162miles long. A cyclist knows his average speed his 12.37 miles/hour from his previous races. For the Tour de France the cyclist knows he will cycle for 10 hours a day. Estimate how many days it will take him to complete the race.

First you must figure out your estimates, in this case you can round 2162 down to 2000 and 12.37 to 10 to make your solutions easier. First you must calculate the total number of hours it is going to take...

Answered by • Maths tutor

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