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If x>2y and 2x<5y, what is the range of x when y=6?

x > (2x6) :. x > 12

2x < (5x6) :. 2x < 30 :. x < 15

12 < x < 15

Answered by Michael B. • Maths tutor

3297 Views

Sean wants to go on holiday. He is going to get a loan of £ 720 to help pay for the holiday. Sean will have to pay back the £ 720 plus interest of 15 %. He will pay this back in 12 equal monthly installments. How much money will Sean pay back each month?

Sean is lent £720. He has to pay back all of this, plus the extra 15% interest. So first you have to find 15% of £720:

10% is £72,

5% is £36,

therefore 15% is £72 + £36 = £108.

Answered by Emma L. • Maths tutor

12368 Views

The number of uniform spherical balls that can be produced from a given mass of lead is inversely proportional to the radius of the ball cubed. If 2744 balls can be made when the radius is 1mm, how many balls can be made when the radius is 1.4mm ?

So first we need to write down the proportionality relationship the question states. If we let n be the number of balls and r be the radius of the balls we can say n (proportional symbol) 1/r³....

Answered by Tabraiz C. • Maths tutor

3450 Views

Solve 4x - 6 < 2x + 5

4x - 6 < 2x + 5 is an inequality. It means "4x - 6 is smaller than 2x + 5". An inequality can be solved just like an equation: whatever you do to one side, you also do to the other. Firstly, ...

Answered by Laura S. • Maths tutor

8672 Views

How do I know which sides are the Adjacent, Opposite and Hypotenuse for trigonometry?

The hypotenuse is the easiest to spot - it's always the longest side, and it's across from the right angle in the triangle. This leaves two others: the adjacent side is the side that is next to the acute ...

Answered by Ted O. • Maths tutor

4881 Views