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Probability: These 6 coins are in a box - 10p, 10p, 10p, 20p, 20p, 50p. Someone takes 2 coins at random. What is the probability that the total value of the two coins is at least 40p?

The question has a number of important points which should be highlighted before beginning. Firstly the fact that the picks are at random. Secondly that the value of the coins must be at least 40p, so a t...

Answered by Tom P. • Maths tutor

6520 Views

Expand and simplify (x − 4)(2x + 3y)^2

Expand the (2x + 3y)^2 term to give 4x²+ 9y² +12xy Expand (x - 4)(4x²+ 9y²+12xy) to give (4x³+9xy²+ 12x²y - 16x²

Answered by Mohammed R. • Maths tutor

4261 Views

Solve the simultaneous equations: 4X+6Y=4 and 7X+5Y=12.5

There are two ways of solving this problem:
Method 1: substitution.
Make X (or Y) the subject of one equation: X= (4-6Y)/4
Substitute this into the other equation:...

Answered by Sam F. • Maths tutor

2779 Views

A ship sets off on a bearing of 072 degrees from port and travels 3.4km in a straight line. How far north of the ship's starting position is its final position? Give your answer to two decimal places.

From SOHCAHTOA we choose CAH based on trianglecos(theta)= adjacent / hypcos(72)=x / 3.4
3.4cos(72)=xOn calculator find x=1.0506... =1.05 (2dp)

Answered by Jessica M. • Maths tutor

3009 Views

Why do we use simultaneous equations?

Simultaneous equations are used to help us find unknown values. An example of simultaneous equations is:1) x + y = 62) 2x + 3y = 16We don't know what the value or X or Y is but we know that together they ...

Answered by Amelia G. • Maths tutor

2529 Views