Simplify $\frac{2\tfrac{2}{3}\times 1\tfrac{1}{2}}{4\tfrac{4}{5}}$

A man earns N3,500 per month out of which he spends 15% on his children’s education. If he spend 15% on his additional N 1950 on food, how much does he have left?

If ${{\log }_{3}}{{x}^{2}}=-8$, what is x,

If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find $P\cap Q.$

Make n the subject of the formula if $w=\frac{v(2+cn)}{1-cn}$

Solve for x and yin the equation below$\begin{align}  & {{x}^{2}}-{{y}^{2}}=4 \\ & x+y=2 \\\end{align}$

U is inversely proportional to the cube of V and U = 81 when V = 2. Find U when V=3

Find the range of values of m which satisfy  $(m-3)(m-4)<0$

The nth term of a sequence ${{n}^{2}}-6n-4$. Find the sum of the 3^rd and 4^th terms.

The binary operation* is defined on the set of integers such that $p*q=pq+p-q$. Find $2*(3*4)$

if $\left| \begin{matrix}   5 & 3  \\   x & 2  \\\end{matrix} \right|=\left| \begin{matrix}   3 & 5  \\   4 & 5  \\\end{matrix} \right|$, find the value of x

In the diagram above OR$\parallel $TU, $\angle PQR={{80}^{\circ }}$,and $\angle PSU={{95}^{\circ }}$Calculate $\angle SUT$

In the diagram above, PQR is a circle O. If $\angle \mathbf{QRP}$is x^o, Find $\angle \mathbf{QRP}$

A circular arc subtends angles 150^o at the centre of a circle of radius 12cm. Calculate the area of the sector of the arc.

The locus of a point equidistant from the intersection of lines $3x-7y+7=0$and $4x-6y+1=0$ is a

The distance between the point (4,3) and the intersection of y = 2x + 4 and y = 7 – x

If angle θ is 135^o, evaluate cos θ

If  $y={{x}^{2}}-\tfrac{1}{x},$find $\tfrac{dy}{dx}$

Evaluate $\int_{1}^{2}{({{x}^{2}}-4x)dx}$