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3/8 is equivalent to ?/24. Find the missing number.

Firstly, we work out what the fraction has been multiplied by. Since the bottom of the fraction is 24, we want to see how many 8's fit into 24. The answer is 3, since 8 multiplied by 3 is 24.Since the bottom...
IB
Answered by isabella B. Maths tutor
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Mixed rugby team of 20, 5 are female. 15 play at a time. i.) What is the percentage chance of a female playing. ii.)A minimum of three females must now be on the pitch. What is the percentage chance of 4 females playing?

i.) 5/20 * 15/20 *100 = 18.755%ii.) Since 3 have to be on the team, essentially the problem is percentage chance of one female getting onto a team of 12, therefore 2/17 * 12/17 * 100 = 8.30%
AC
Answered by Alfie C. Maths tutor
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f(x) = (2x+3)/(x-4). Work out f^-1 (x)

f -1 (x) = inverseSet f -1 (x) as y = (2x+3)/(x-4)y(x-4) = 2x+3yx-4y = 2x+3yx-2x = 3+4yx(y-2) = 3+4yx = (3+4y)/(y-2)f -1 (x) = (3+4x)/(x-2)
GH
Answered by Gurlina H. Maths tutor
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For which values of x is x^2 - 5x + 6 < 0 true?

Factorising the left hand side of the inequality gives (x-2)(x-3), so we know that the quadratic curve intersects the x-axis at x=2 and x=3. Since the coefficient of x^2 in the quadratic equation x^2-5x+6 is...
TV
Answered by Thomas V. Maths tutor
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Find the equation of the straight line which passes through the points (5, 0) and (6, 4).

We can use the general equation of a straight line to tackle this question: y=mx+c (m is the gradient and c is the y-intercept).(Note: The points are in the form (x, y).) First, we will determine the gradien...
CM
Answered by Chloe M. Maths tutor
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