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Solve the inequality 2x + 3 < 5x
A survey shows that 28% of all the men in a village wear size 9 shoes. What is the probability that a man selected at random in the village wears size 9 shoes?
The root of a quadratic equation in x, are -m and 2n. Find the equation
If \(x^2 +15x + 50 = ax^2 + bx + c = 0\). Which of the following statement is not true?
Which of the following pairs of inequalities is represented on the number line?
Amina had m mangoes. She ate 3 and shared the remainder equally with her brother Uche. Each had at least 10. Which of the following inequalities represents the statements above.
Water flows from a tap into cylindrical container at the rate 5πcm\(^3\) per second. If the radius of the container is 3cm, calculate the level of water in the container at the end of 9 seconds.
The height and base of a triangle are in ratio 1:3 respectively. If the area of the triangle is 216 cm\(^2\), find the length of the base.
A car travel at x km per hour for 1 hour and at y km per hour for 2 hours. Find its average speed
Two numbers 24\(_{x}\) and 31\(_y\) are equal in value when converted to base ten. Find the equation connecting x and y
The height of a pyramid on square base is 15cm. If the volume is 80cm\(^3\), find the length of the side of the base
In the diagram, PQST and QRST are parallelograms. Calculate the area of the trapezium PRST.
The diagram shows the position of three ships A, B and C at sea. B is due north of C such that |AB| = |BC| and the bearing of B from A = 040°. What is the bearing of A from C
From the diagram above. ABC is a triangle inscribed in a circle center O. ∠ACB = 40º and |AB| = x cm. Calculate the radius of the circle.
From the top of a cliff 20m high, a boat can be sighted at sea 75m from the foot of the cliff. Calculate the angle of depression of the boat from the top of the cliff
If \(tan x = \frac{1}{\sqrt{3}}\), find cos x - sin x such that \(0^o \leq x \leq 90^o\)
If y varies inversely as x\(^2\), how does x vary with y?
Simplify \(\frac{4}{x+1}-\frac{3}{x-1}\)