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Sean drives from Manchester to Gretna Green. He drives at an average speed of 50 mph for the first three hours. He then breaks and drives the final 150 miles at 30 mph. Sean thinks his average speed is 40 mph ,is he correct?

This is a relatively complicated mechanics question requiring the student to put aside their initial assumption and work with the actual meaning of average speed. In order to do this the student must find...

Answered by Adam B. • Maths tutor

5996 Views

A square is placed in a circle of area (49π)cm^2 such that all four vertices of the square lie on the circumference of the circle. What is the area of the square?

It's always helpful to draw a diagram beforehand.Since we know the area of the circle is (49π)cm², we can work out the radius using A=πr². Rearranging, we get r = 7cm. Add this info...

Answered by Karnan S. • Maths tutor

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Make x the subject of the formula y=(4x+5)/x

xy=4x+5 xy-4x=5x(y-4)=5x=5/(y-4)

Answered by R P. • Maths tutor

4222 Views

Benjamin has a 0.7 chance of passing his driving test the first time and a 0.85 chance of passing the second time. What is the probability of his passing on either the first or second try?

The probability of passing at either the first or second time round is P(passing first time) + P(taking the test for a second time then passing)
= 0.7 + (0.85 x 0.3)= 0.7 + 0.255= 0....

Answered by Rob F. • Maths tutor

3472 Views

Expand the brackets (2x + 3)(3x - 1)

Use the crab claw method to expand the bracket. Draw two lines above the equation from the 2X, one to the 3X and one to the -1. Draw another two lines below the equation from the +3, one to the 3X and one...

Answered by Caitlin M. • Maths tutor

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