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Express 5/8 as a decimal

Note that 1/4 as a decimal is 0.25, half of this is 1/8 which is 0.125.Multplying this by 5: we get 0.625
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Answered by James M. • Maths tutor
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I struggle to simplify the following equation: (see answer)

3l 2 mn + nl 2 m - 5mn 2 l + l 2 nm + 2n 2 ml - mn 2 The first step is to ask yourself if there is anything that could help you simplify the equation, any recurring term or common factor. Here, we note that ...
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Answered by Luc S. • Maths tutor
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Integral of Cosec(x)/Sec(x) (i.e. Use of trignometric identities)

∫ Cosec (x)/Sec (x) dx∫ [1/Sin (x)]/ [1/Cos (x)] dx∫ [1/Sin (x)] * [Cos (x)] dx∫ Cot (x)= ln [Sin (x)] + c
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Answered by Sean M. • Maths tutor
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In a class there are 12 girls and 18 boys. what proportion of the girls are there in the class? Simplify

the total number of students in the class would be 12 girls plus 18 boys which is 30 in total. The proportion of the girls would mean dividing the number of girls by the total number of students so 12/30. as...
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Answered by Ionela M. • Maths tutor
16120 Views

Two numbers add to make 1000. What would they have to be to maximise their product?

We can write the two numbers as x and 1000-x, because x+(1000-x) = 1000 for any x we pick. Now we want to maximise the product x(1000-x); expanding the brackets gives us 1000x-x 2 which is easier to work wit...
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Answered by Ankur D. • Maths tutor
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