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A bag contains 4 red counters and some blue counters in the ratio 1:4 respectively. How many counters are there in the bag altogether?

Calculate how many blue counters there are first. 4 divided by 1 = 4.4 multiplied by 4 = 16.16 blue counters in the bag.4 red counters and 16 blue counters makes 20 counters in the bag.
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Answered by EMMA B. • Maths tutor
4032 Views

Given that y = 16x + x^-1, find the two values of x for which dy/dx = 0

Expected layout of answer in an exam: y = 16x + x -1 dy/dx = 16 - x -2 dy/dx = 0 implies that 16 - x -2 = 0this implies that 16 = x -2 16 = 1/x 2 16x 2 = 1x 2 = 1/16therefore x = +/- 1/4x = 1/4, x = -1/4 whe...
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Answered by Sawdah H. • Maths tutor
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multiply out (2x-4)(x-2) and simplify.

The method I would use here is FOIL (first outer inner last). A common mistake is not multiplying out all terms, using FOIL will ensure you do this.The working I would expect to see:2x^2-4x-4x+8 (order shows...
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Answered by Ben W. • Maths tutor
4481 Views

When should I use the nominative case?

The nominative case is used for the subject of the verb, i.e. the noun doing the action. Consider this example: my brother has a dog. In this simple sentence, my brother is the subject of the verb as he owns...
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Answered by Emily H. • German tutor
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Why the human heart is described as a "double pump" and what is the physiological significance of this?

The human heart is described as a double pump because blood passes through it and gets pumped out of it twice in a single circuit of the circulatory system. A normal heart is separated into two halves, right...
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Answered by James F. • Biology tutor
17102 Views