Find the smaller value of x that satisfies the equation ${{x}^{2}}+7x+10=0$

Given that ${{124}_{x}}=7({{14}_{x}})$ find the value of x

In the diagram, STUV is a straight line$\angle TSY=\angle UXY={{40}^{{}^\circ }}$ and $\angle VUW={{110}^{\circ }}$ calculate $\angle TYW$

Simplify $1\tfrac{3}{4}-(2\tfrac{1}{3}+4)$

What must be added to $(2x-3y)$ to get $(x-2y)$?

Given that n(P) = 19,$n(P\cup Q)=38$ and $n(P\cap Q)=7$ find n(Q)

G varies directly as the square of H. If G is 4 when H is 3, find H when G = 100

If $\sqrt{72}+\sqrt{32}-3\sqrt{18}=x\sqrt{8}$ find the value of x

Simplify $\tfrac{m}{n}+\tfrac{m-1}{5n}-\tfrac{m-2}{10n}$ where $n\ne 0$