Evaluate $\frac{\tfrac{3}{8}\div \tfrac{1}{2}-\tfrac{1}{3}}{\tfrac{1}{8}\times \tfrac{2}{3}+\tfrac{1}{3}}$

Calculate the simple interest on N7 500 for 8 years at 5% per annum

Simplify ${{16}^{-\tfrac{1}{2}}}\times {{4}^{-\tfrac{1}{2}}}\times {{27}^{\tfrac{1}{3}}}$

If $\frac{1+\sqrt{2}}{1-\sqrt{2}}$is expressed in the form $x+y\sqrt{2}$, find the values of x and y

A bookseller sells Mathematics and English books. If 30 customers buy Mathematics books, 20 customers buy English books and 10 customers buy the two books, how many customers has he altogether?

If $2{{x}^{2}}-kx-12$is divisible by $x-4$, find the value of k

If x – 3 is directly proportional to the square of y and x = 5 when y = 2, find x when y = 6

Find the range of value of x which satisfy the inequality $4x-7\le 3x\text{ and }3x-4\le 4x$

The shaded area that gives the solution set for the inequalities $x+y\le 3,x-y\le 3$, is

A binary operation * defined on the set of positive integer is such that that $x*y=2x-3y+2$ for all positive integers x and y. The binary operation is

Find the value of x and y respectively if $\left( \begin{matrix}   1 & 0  \\   -1 & -1  \\   2 & 2  \\\end{matrix} \right)+\left( \begin{matrix}   x & 1  \\   -1 & 0  \\   y & -2  \\\end{matrix} \right)=\left( \begin{matrix}   -2 & 1  \\   -2 & -1  \\   -3 & 0  \\\end{matrix} \right)$

In the diagram above $PQ\parallel RS$, the size of the angle marked x is

In the diagram above $\angle OPQ$is

Find the angle subtends at the centre of a circle by a chord which is equal in length to the radius of the circle.

The locus of a point equidistant from two point P(6,2) and R (4,2) is perpendicular bisector of PR passing through

Calculate the distance between L ( –1, –6) and M(–3, –5)

A student sitting on a tower 68 metres high observes his principal car at an angle of depression of 20^o. How far is the car from the bottom of the tower to the nearest metres?

Differentiate sin x – x cos x

Evaluate $\int_{1}^{2}{(6{{x}^{2}}-2x)dx}$