If the quadratic function 3x2 - 7x + R is a perfect square, find R

In the equation below, Solve for x if all the numbers are in base 2: \(\frac{11}{x} = \frac{1000}{x+101}\)

Write h in terms of a, b, c, d if \(a = \frac{b(1-ch)}{a-dh}\)

Find x if log9x = 1.5

Find the values of p for which the equation x2 - (p - 2)x + 2p + 1 = 0

Find correct to two decimals places \(100 + \frac{1}{100} + \frac{3}{1000} + \frac{27}{10000}\)

John gives one-third of his money to Janet who has ₦105.00. He then finds that his money is reduced to one-fourth of what Janet now has. Find how much money ...

22\( \frac{1}{2} \)% of the Nigerian Naira is equal to 17\( \frac{1}{10} \)% of a foreign currency M. What is the conversion rate of the M to the Naira?

If three numbers P, Q, R are in ratio 6 : 4 : 5, find the value of \( \frac{3p-q}{4q+r} \)