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Maths
GCSE

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
2631 Views

Solve 5(x + 3) < 60

For this we must expand the bracket:5(x+3)= 5x+15and then we rearrange for 'x':x<9

Answered by Othman A. Maths tutor
3895 Views

What is the simplified expression of: 3a - a x 4a + 2a? And what rule do we use to carry out the simplification?

To simplify the expression we use B(rackets)I(nidices)D(ivision)M(ultiplication)A(ddition)S(subtraction) in this specific order.Hence, here the first thing we need to do is identify each element of BIDMAS...

Answered by Othman A. Maths tutor
10645 Views

Solve the following pair of simultaneous equations; 10x+4y=15, 2x+y=7

So, to solve these equations, you must choose the variable you want to work with, in this case let's go with y. Make sure that you write out every step of your working so it is easy to follow and minimise...

Answered by Jung H. Maths tutor
2620 Views

Write √5 ( √8 + √18 ) in the form a√10, where a is an integer, without using a calculator.

We start by expanding the brackets : (√5 x √8) + (√5 x √18). A common mistake here is to attempt to add √8 and √18 together. We can't do this because of algebra rules. BIDMAS states that multiplicatio...

Answered by Adrienn J. Maths tutor
8659 Views

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