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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. Divi...
JB
Answered by James B. Maths tutor
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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/s 2 (negative since gravity acts downw...
JN
Answered by Jenny N. Maths tutor
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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 30p.
FR
Answered by Freya R. Maths tutor
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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 at a speed of ...
ZL
Answered by Zadie L. Maths tutor
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There are 10 boys and 20 girls in a class. The class has a test. The mean mark for all the class is 60. The mean mark for the girls is 54. Work out the mean mark for the boys.

Mean = Sum of all the numbers/How many numbers there are60=sum of all numbers/30 therefore 1800= sum of all the test scores of class54= sum of all the girls' scores/20 therefore 1080 = sum of all the girl's ...
CO
Answered by Chimdi O. Maths tutor
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