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Find the value of X and Y if X^2 + Y^2 = 13 and 2X + Y = 1

Firstly, since only one equation is linear, substitution must be used. This will allow us to make a quadratic equation with one variable and solve for X and Y. To do this, I will make Y the subject of the fo...
AS
Answered by Alexis S. • Maths tutor
7090 Views

A t-shirt is in the sale section of a store. It has 20% off and the new sale price is £12. What was the original price of the t-shirt?

Original Price x Percentage Multiplier = New Price Percentage Multiplier = (100-20)/100 = 0.8 OP x 0.8 = £12 OP = £12/0.8 = £15
KB
Answered by Katy B. • Maths tutor
4446 Views

Find the Lowest common multiple of 96 and 132

First, split into prime factors- 96= 2^5 * 3 and 132= 2^2 * 3 * 11 Whilst very similar to highest common factor, lowest common multiple is found by comparing the two sets of prime factors, and for each prime...
AW
Answered by Alex W. • Maths tutor
4104 Views

There are n sweets in a bag, 6 of which are orange. If the probablility of eating 2 orange sweets from the bag, one after the other, is 1/3, show that n^2 - n - 90 = 0. State any assumptions made.

We are assuming that the sweets are selected at random. The question says that the sweets are eaten, so we are also assuming that they aren't put back into the bag. The total probability of selecting the two...
JB
Answered by James B. • Maths tutor
4386 Views

Give an example of a real-world system that would be described by a quadratic equation. Explain the significance of the two real roots, a repeated root, and undefined roots. Is there any significance to a positive or a negative answer in your example?

For a ball that has been thrown, it's height above the ground can be described by a quadratic equation of the time since it was thrown and gives a parabola. The two real roots of the equation are the times w...
JB
Answered by James B. • Maths tutor
4599 Views