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The numbers a,b,c and d satisfy the equations: a+2b+3c+4d=k and 4a=3b=2c=d. What is the smallest value of k for which a,b,c and d are positive integers?

The key thing to notice here is that d must have the factors 4,3 and 2. The number 12 is the smallest to contain all those factors. We can then deduce c=6, b=4 and a=3 to get k=77.

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Answered by Dean Y. Maths tutor
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Evaluate the idea that British Standard English is superior to other varieties of English used around the world.

In every language, there is an observable both linguistic and social distinction between the standard, non-regional variety, which is generally seen as more prestigious by its speakers, and its dialectal ...

Answered by English Language tutor
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Find an expression for the nth term of this sequence: 3 - 11 - 19 - 27 - 35 . The nth term of a different sequence is 2n^3 + 3. Write down the first 3 terms of this sequence.

First, the sequence is 3 - 11 - 19 - 27 - 35. Looking at it, we can observe that each element of the sequence is created by adding 8 to the previous. The first term is 3. The second term is 3 + 8...

Answered by Maths tutor
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The equation of a curve is y = x^2 + ax + b where a and b are integers. The points (0,-5) and (5,0) lie on the curve. Find the coordinates of the turning point of the curve.

In the equation for our line we have 2 unknowns: a and b. However, we know that the line passes through two known points with x and y coordinates. Therefore, we can begin by substituting in our known x an...

Answered by Maths tutor
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Describe the shape of, and bonding in, a molecule of benzene and explain why benzene does not readily undergo addition reactions.

Benzene is a planar, cyclical, hexagonal molecule, with the molecular formula C6H6. It consists of a ring of 6 carbon atoms with alternating single bonds and double bonds. The length...

Answered by Chemistry tutor
5237 Views

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