Subjects algebra

Fraction Unknown Bc4Fc7

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1. The problem involves solving for the unknown variable in two equations involving fractions: $$ ? = \frac{30}{100} $$ and $$ \frac{30}{?} = \frac{?}{100} $$ 2. For the first equation, we directly have: $$ ? = \frac{30}{100} $$ which simplifies to: $$ ? = 0.3 $$ 3. For the second equation, we use cross multiplication: $$ 30 \times 100 = ? \times ? $$ which gives: $$ 3000 = ?^2 $$ 4. Taking the square root of both sides: $$ ? = \sqrt{3000} $$ 5. Simplify the square root: $$ ? = \sqrt{100 \times 30} = \sqrt{100} \times \sqrt{30} = 10 \sqrt{30} $$ 6. Approximate the value: $$ 10 \sqrt{30} \approx 10 \times 5.477 = 54.77 $$ Final answers: For the first equation, $ ? = 0.3 $. For the second equation, $ ? = 10 \sqrt{30} \approx 54.77 $.