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Solve the simultaneous equation: 3x-12y=6 , 18y=9x+10y

To solve this question, we must first understand what a simultaneous equation is = an equation where the variables have the same values. So in this example, x and y are the same in both ...

Answered by Paulina P. • Maths tutor

3333 Views

At a football game number of men : number of women : number of children = 13 : 5 : 7 There are 4152 more men than women. Work out the number of children at the game.

The ratio of men to women at the game is 13:5. The difference between the number of men and women is 4152. Subtract 5 from 13 to work out the difference between the ratio value of men and women. 13-5=8. D...

Answered by James B. • Maths tutor

8432 Views

A particle P is projected vertically upwards from a point 20m above the ground with velocity 18m/s, no external forces act on it other than gravity. What will its speed be right before it hits the ground? Give your answer to one decimal place.

To start off we should list what we have and what we want to find. The initial velocity u= 18 m/s (taking upwards to be the positive direction). Acceleration a= - 9.8 m/s² (negative since gravi...

Answered by Jenny N. • Maths tutor

4538 Views

A t-shirt is in two shops, both of which has it on sale. In shop A, the t-shirt originally cost £15, but has been reduced by 30%. In shop B, it used to cost £17 and has been reduced by 40%. In which shop is the t-shirt now cheaper, and by how much?

Shop A:30%=0.31-0.3=0.715x0.7=10.5 --> now £10.50 in Shop A
Shop B40%=0.41-0.4=0.617x0.6=10.2 --> now £10.20 in Shop B
£10.50-£10.20=£0.30=30p
The t-shirt is now cheaper in Shop B by ...

Answered by Freya R. • Maths tutor

3208 Views

Katie wants to know how fast she is riding her bike. She travels 10km in 60 minutes, what is her speed to the nearest decimal place (in m/s)?

60 x 60 = 1200 (to work out the time in seconds)10 x 1000 = 10000 (to work out the distance in metres)
speed=distance divided by time10000 divided by 1200 = 8.3333...
Therefore, Katie is going a...

Answered by Zadie L. • Maths tutor

1354 Views