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If x : y : z = 2 : 3 : 4, evaluate \(\frac{9x + 3y}{6z - 2y}\)
If y + 2x = 4 and y - 3x = -1, find the value of (x + y)
If F = \(\frac{9}{5}\)C + 32, find C when F = 98.6
If \(\log_{10}\)(6x - 4) - \(\log_{10}\)2 = 1, solve for x.
There are 250 boys and 150 girls in a school, if 60% of the boys and 40% of the girls play football, what percentage of the school play football?
Simplify; 2\(\frac{1}{4} \times 3\frac{1}{2} \div 4 \frac{3}{8}\)
Find the value of x for which \(32_{four} = 22_x\)
Given that y varies inversely as the square of x. If x = 3 when y = 100, find the equation connecting x and y.
Evaluate: \((64^{\frac{1}{2}} + 125^{\frac{1}{3}})^2\)
Simplify: \(\sqrt{108} + \sqrt{125} - \sqrt{75}\)
If \(N = \begin{pmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{pmatrix}\), find \(|N|\).
If X, Y can take values from the set (1, 2, 3 ,4), find the probability that the product of X and Y is not greater than 6
Add 54 \(_{eight}\) and 67\(_{eight}\) giving your answers in base eight
From a point R, 300m north of P, a man walks eastwards to a place; Q which is 600m from P. Find the bearing of P from Q correct to the nearest degree
Simplify 25\(^{(\frac{1}{2}}\) × 8\(^{(\frac{-2}{3}}\)
Approximate 0.9875 to 1 decimal place.
Calculate the area of an equilateral triangle of side 8cm
Which one of the following gives the members of the set A1 n B n C?
A box contains two red balls and four blue balls. A ball is drawn at random from the box and then replaced before a second ball is drawn. Find the probability of drawing two red balls.
if y = 23\(_{five}\) + 101\(_{three}\) find y leaving your answer in base two