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How to multiply and divide mixed fractions

Multiply: First have to make the fraction whole. To do this we multiply the first number by the denominator. Then we add it to the numerator to get a top heavy fraction. Now we can simply multiply the two nu...
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Answered by Daniel W. Maths tutor
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There are 40 counters in a bag. 13 are red, 20% are green and the rest are yellow. What proportion of counters are yellow?

20% green counters - means 1/5 of all counters are green. 1/5 of 40 = 40/5 = 8 counters are greenthe number of counters that are green + the number of counters that are red = 8 + 13 = 21the number of counter...
Answered by Maths tutor
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Solve x^(2) + 7x + 6 = 0.

1) Factorise x 2 + 7x +6 Numbers that multiply to make +6: 6 and 1, -6 and -1, 3 and 2, -3 and -2 Which pair also add/subtract to make +7? 6 + 1 = 7 So factors are: (x+6)(x+1) 2) Solve value of x. (x+6)(x+1)...
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Answered by Rebecca H. Maths tutor
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A and B are points on a circle, centre O. BC is a tangent to the circle. AOC is a straight line. Angle ABO = x°. Find the size of angle ACB, in terms of x. Give your answer in its simplest form. Give reasons for each stage of your working.

(This question is from the Edexcel Higher GCSE paper 2018) As BC is a tangent to the circle, we know that angle OBC must be a right angle (90 degrees)We also know that lines OA and OB are both the same lengt...
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Answered by Rachel T. Maths tutor
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By completing the square, find the coordinates of the turning point of the curve with equation y = x^2 + 10x + 2

The equation is in the form ax^2 + bx + c, where a = 1, b = 10 and c = 2To complete the square, we write (x + b/2a)^2 + c - (b/2a)^2So here we would have (x + 5)^2 + 2 - 25Therefore completed square form is ...
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Answered by Niamh M. Maths tutor
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