The sum of four number is 1214₅. What is the average expression in base 5

If $\frac{{{9}^{2x-1}}}{{{27}^{x+1}}}=1$Find the value of x

A cinema hall contains a certain number of people. If 22½% are children,47½ %are men and 84 are women, find the number of men in the hall

Simplify $\frac{\sqrt{98}-\sqrt{50}}{\sqrt{32}}$

Simplify $1-\left( 2\tfrac{1}{3}\times 1\tfrac{1}{4} \right)+\tfrac{3}{5}$

A woman buys 270 oranges for N1800.00 and sell at 5 for N40.00. What is her profit?

Find ${{\left( \frac{1}{0.06}\div \frac{1}{0.042} \right)}^{-1}}$

In a  class of 40 students, 32 offers Mathematics, 24 offers physics and 4 offers neither Mathematics nor physics. How  many offer both Mathematics and Physics?

Simplify ${{213}_{4}}\times {{23}_{4}}$

Evaluate ${{\log }_{\sqrt{2}}}4+{{\log }_{\tfrac{1}{2}}}16-{{\log }_{4}}32$