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n is an integer such that 4n+6≤18 and 5n/(n^2+4)>1. Identify the range of possible values of n.

To solve the first inequality, you need to subtract 6 from both sides of the inequality, to obtain 4n≤12. This can then be cancelled down to n≤3 by dividing both sides by 4. To solve the second inequality, w...
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Answered by Hakeem S. Maths tutor
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How to form the Perfekt (past) tense in German?

To form the past tense in German, you need the conjugated auxiliary verb (haben or sein) and the past participle of the verb, which comes at the end of the sentence. For example, if you want to say "I h...
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Answered by Alexandra A. German tutor
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What is the value of 5^15 / (5^3)^3

We know from our rule of indices that raising a power to a power can be simplified by multiplying so (5 3 ) 3 = 5 9 we also know that when dividing indices we can use the subtraction rule. This mean 5 15 - 5...
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Answered by Benjamin G. Maths tutor
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Find the point of intersection between the lines 2y=-4x+4 and 3y=10x-3

The easiest way to find the point of intersection between two lines is to use simultaneous equations. Begin by setting y=y or x=x. In this case we will be setting y=y, in order to do this you must manipulate...
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Answered by Scott S. Maths tutor
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Work out 3 and 1/2 divided by 2 and 4/5

Start by converting these mixed numbers into top-heavy fractions: 3 and 1/2 becomes 7/2 (3x2=6; 6+1=7)2 and 4/5 becomes 14/5 (2x5=10; 10+4=14)Then use the 'KFC' formula - 'Keep it, flip it, calculate it': So...
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Answered by Sarah M. Maths tutor
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