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Write 156 as a product of its prime factors.

Before we begin to answer this question we need to have a clear idea of what a prime number is: A prime number is a number greater than 1 that cannot be found by multiplying 2 smaller numbers. To answer t...

Answered by Alexander A. • Maths tutor

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The recommended price of a ladder is £75. The ladder is sold in 2 shops, one with a 30% discount the other with a discount of 2/9. How much is the discount in the two shops and which is cheaper and by how much? Non-calculator

Shop 1. Ladder is discounted at 30%. 30% = 0.3. 0.3 x £75 = ? £70 x 0.3 = £21.00 £5 x 0.3 = £1.50. Total discount is £22.50. Price for the ladder is £52.50. Shop 2. The discount can be calculated £75/1 x ...

Answered by Aston B. • Maths tutor

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Prove that one interior angle of a a regular octagon = 135 degrees

Regular octagon has 6 triangles within it.

Total of interior angles in a triangle = 180 degrees

So the total of interior angles within a regular octagon would = 180 x 6 (=1080).

Answered by Acrisa K. • Maths tutor

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David travels from home to work at 30 mph. At the end of the day, he travels from work back home via the same route at 40 mph. What is his average speed while travelling? (Give your answer as a simplified fraction) (None-Calculator)

First set the distance between home and work as the value x miles.The time takento get from home to work is the value y hours.The time takento get from work to home is the value z hours.Then (as timeis eq...

Answered by David F. • Maths tutor

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y is proportional to x^2. When y=45, x=3. Find a formula for y in terms of x.

If y is proportional to x then you can write y=kx^2 where k is a constant you are trying to find. Then substitute in the values you have been given for x and y. This gives you 45=k(3)^2. Then work to solv...

Answered by Abbey P. • Maths tutor

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