The binary operation \( \oplus \) is defined by \( x \ast y = xy - y - x \) for all real values \( x \) and \( y \). If \( x \ast 3 = 2 \ast \), find \( x \...

Given that \( \log_{4}(y - 1) + \log_{4}\left(\frac{1}{2}x\right) = 1 \) and \( \log_{2}(y + 1) + \log_{2}x = 2 \), solve for x and y respectively

A man is paid r naira per hour for normal work and double rate for overtime. if he does a 35-hour week which includes q hours of overtime, what is his weekly...

Find the value of k if \( \frac{k}{\sqrt{3}+\sqrt{2}} = k\sqrt{3-2} \)

A market woman sells oil in cylindrical tins 10cm deep and 6cm in diameter at ₦15.00 each. If she bought a full cylindrical jug 18cm deep and 10cm in diamete...

Evaluate \[ \frac{1}{0.03} \div \frac{1}{0.024} \]⁻¹ correct to 2 decimal places

When the expression pm2 + qm + 1 is divided by (m - 1), it has a remainder is 4, Find p and q respectively

If \(b^3 = a^{-2}\) and \(c^{\frac{1}{3}} = a^{\frac{1}{2}}b\), express c in terms of a

If 10112 + x7 = 2510, solve for X.