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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.

72

Answered by Charlotte A. Maths tutor
3733 Views

Express 56 as the product of its prime factors

23 x 7

Answered by Charlotte A. Maths tutor
7554 Views

Here is a right-angled triangle (base = 8cm and height = 9cm) and a rectangle (length = 16cm). The area of the rectangle is 6 times the area of the triangle. Work out the width of the rectangle.

Area of triangle is 0.5 x base x height.
0.5 x 8 x 9 = 36
Area of rectangle is 6 x 36 = 216
Area of rectangle is also 16 x width
16 x width = 216
(Divide both sides by 16)
w...

Answered by Harry W. Maths tutor
11298 Views

Locate the position and the nature of any turning points in the function: 2x^3 - 9x^2 +12x

I would first ask the student to draw a cubic graph(preferably the function in asking depending on the student's capability). I would then ask the student to show me where the stationary points in the gra...

Answered by Ewa I. Maths tutor
5578 Views

Solve the simultaneous equations 3x+2y=4 and 4x+5y=17 for x and y

Rearrange one of the equations to get x equals an equation in terms of y.3x+2y=4Take 2y away from both sides3x=4-2yDivide both sides by 3x=(4-2y)/3Substitute this into the other equation in place of x4((4...

Answered by Jack C. Maths tutor
6470 Views

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