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Maths
GCSE

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 or the boys.

Total mark for whole class is 3060= 1800Total mark for girls is 2054= 1080
Therefore subtract smaller from larger to get total mark for boys, and divide that number by 10 to yield 72.

Answered by Raphael M. Maths tutor
2625 Views

The equation of line 1 is y=3x-2 and the equation of line 2 is 3y-9x+5=0. Show the two lines are parallel.

The two lines are parallel if they have the same gradient, so for a line in the form y=mx+c, m of the two lines must be the same.Line 1 is already in this form so we need to rearrange line 2 to be in this...

Answered by Emma S. Maths tutor
2585 Views

Find the equation of a straight line that passes through the points (2,7) and (5,3)

Since we're told the line is straight, the equation of the line will be of the form y = mx + c.The gradient of the line, m, is the change in y divided by the change in x ; m = (3-7)/(5-2) = - 4/3.Therefor...

Answered by Joshua N. Maths tutor
2885 Views

write x^2 + 10x - 6 in the form (x+a)^2 + b

(x + 5)2 - 52 - 6(x + 5)2 - 25 - 6(x + 5)2 - 31

Answered by Thomas B. Maths tutor
5985 Views

solve; (6x - 2)/2 - (4x+7)/3 = 1-x

numerical answer x =-1/8 oe (or equivalent), but I am more interested in the method usedMy methodsimplify first fraction to 3x-1, multiply both sides by 3, collect like terms, divide through...

Answered by Ruth L. Maths tutor
2800 Views

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