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The difference between two positive numbers is 50. The second number is 50 % smaller than the first one. What are the two numbers?

Let's call the numbers we are looking for a and b. From the question: a-b = 50 and b is 50% of a, which means that b = (50/100) a=0.5 a. Substituting this form of b in the first equation, we obtain: a-0.5 a=...
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Answered by Andreea C. • Maths tutor
5038 Views

(19x - 2)/((5 - x)(1 + 6x)) can be expressed as A/(5-x) + B/(1+6x) where A and B are integers. Find A and B

First we can equate (19x - 2)/((5 - x)(1 + 6x)) to A/(5-x) + B/(1+6x) which means: (19x - 2)/((5 - x)(1 + 6x)) = A/(5-x) + B/(1+6x). Then we will turn the RHS into a single fraction: (19x - 2)/((5 - x)(1 + 6...
TS
Answered by Tarek S. • Maths tutor
4065 Views

A ship is 180 kilometres away from a port P on a bearing of 63 degrees. Another ship is 245 kilometres away from port P on a bearing of 146 degrees. Calculate the distance between the two ships.

While this problem could be done simply by inputting the appropriate numbers into the correct formula, it is good practice to draw a diagram of the problem in order to minimise any silly mistakes that may be...
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Answered by Saeed G. • Maths tutor
8533 Views

Calculate 27^(-3/2)

The question asks you to calculate 27 -3/2 . Due to the presence of the negative sign, 27 -3/2 is the same as 1/27 3/2 . The fractional power is a little more tricky. The denominator, 2, means that the numbe...
RM
Answered by Rachel M. • Maths tutor
5554 Views

Expand the following expression: (2x+3)(x+1)

In order to answer this question, we will follow the FOIL procedure. First, Outter, Inner, Last. Using the 'F' we will multiply the first 2 numbers of each bracket. In most cases, these 2 variables will have...
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Answered by Namrata H. • Maths tutor
5044 Views