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The sum of four numbers is 1214\(_5\). What is the average expressed in base five?
If \(\frac{9^{2x-1}}{27^{x+1}} = 1\), find the value of x.
A cinema hall contains a certain number of people. If 22\(\frac{1}{2}\)% are children, 47\(\frac{1}{2}\)% are men and 84 are women, find the number of men in the hall.
Simplify \(\frac{\sqrt{98} - \sqrt{50}}{\sqrt{32}}\)
Simplify 1 - (7/3 x 5/4) + 3/5
A woman buys 270 oranges for N1800.00 and sells at 5 for N40.00. What is her profit?
Find (\(\frac{1}{0.06} \div \frac{1}{0.042}\))\(^{-1}\)
In a class of 40 students, 32 offer mathematics, 24 offer Physics, and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?
Simplify 213\(_4\) x 23\(_4\)
Evaluate \(Log_{\sqrt{2}}4 + Log_{\frac{1}{2}}16 - Log_{4}32\)