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15 machines work at the same rate. Together, the 15 machines can complete an order in 8 hours. 3 of the machines break down after working for 6 hours. The other machines carry on working until the order is complete. In total, how many hours does EACH

The total number of 'machine hours' needed to complete an order is (15x8) = 120 hoursThe total number of hours worked by the broken machines = (6x3) = 18 hoursTherefore the total number of machine hours n...

Answered by Ethan R. • Maths tutor

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f is a function such that f(x)=2/(3x-3) Find the inverse function and ff^-1

As demonstrated on whiteboard

Answered by Kieran M. • Maths tutor

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Joe buy a pack of 7 chocolate bars. The pack costs £5.97, Joe sells all 7 chocolate bars for 87p each. Work out Joes percentage profit to 2 decimal places.

7 x £0.87 = £6.09(6.09/5.97) x 100 = 102.01%so percentage profit is 2.01% to 2 d.p.

Answered by Joel L. • Maths tutor

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Why do we bother using surds?

Surds are exact - they can’t be rewritten as a decimal or fraction without introducing a rounding error. If we’re using numbers in a calculation, keeping them as exact as possible until we round to the re...

Answered by Alice D. • Maths tutor

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What are the roots of (2x-5)(x-3) = 0

First off, roots means solve for x. 0 multiplied by any number equals 0, therefore, either one of the brackets must itself equal 0.We can solve this by firstly setting 2x-5 = 0, and solving for x. (+ 5) t...

Answered by Ankit G. • Maths tutor

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