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Work out the value 125^(-2/3) (A* Exam Q)

Whenever you have a negative power always take the reciprocal or flip the base value i.e 125. So now it is 1/125 raised to the power of 2/3. By flipping it over the fractional index is no longer negative....

Answered by Preveina M. • 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.

Answered by Charlotte A. • Maths tutor

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Express 56 as the product of its prime factors

2³x 7

Answered by Charlotte A. • Maths tutor

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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

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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

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