Three children shared a basket of mangoes in such a way that the first child took \(\frac{1}{4}\) of the mangoes and the second \(\frac{3}{4}\) of the remainder. What fraction of the mangoes did the third child take?

Simplify and express in standard form \(\frac{0.00275 \times 0.00640}{0.025 \times 0.08}\)

Simplify \(\sqrt{27}\) + \(\frac{3}{\sqrt{3}}\)

Three brothers in a business deal share the profit at the end of a contract. The first received \(\frac{1}{3}\) of the profit and the second \(\frac{2}{3}\) of the remainder. If the third received the remaining N12000.00 how much profit did they share?

P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.