Given that x + y = 7 and 3x-y = 5, evaluate \(\frac{y}{2}-3\).

In the diagram, \(R\hat{P}Q = Q\hat{R}Y, \hspace{1mm} P\hat{Q}R = R\hat{Y}Q, \\ \hspace{1mm}|QP| = 3cm \hspace{1mm}|QY| = 4cm \hspace{1mm}and \hspace{1mm}|RY...

Solve for t in the equation \(\frac{3}{4}t+\frac{1}{3}(21-t)\) = 11,

Given that sin (5x - 28)o = cos (3x - 50)o,0 < x < 90o, find the value of x

There are m boys and 12 girls in a class. What is the probability of selecting at random a girl from the class?

Find the value of x in the diagram

A school girl spends \(\frac{1}{4}\) of her pocket money on books and \(\frac{1}{3}\) on dress. What fraction remains?

1. Evaluate \( 202^2_{three} - 112^2_{three}\)

If \(y = 23_{five} + 101_{three}\), find y, leaving your answer in base two