If {0.06 × 0.6 × x} = 0.006 × 0.6 × {y} then find x/y .

Correct Answer is : 925,000{9}{25{,}000}25,0009

Correct Answer is : 925,000{9}{25{,}000}25,0009

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Powers and Roots Practice Test 3

Question : 10 of 40

Marks: +1, -0

\sqrt{0.06 \times 0.6 \times x} = 0.006 \times 0.6 \times \sqrt{y}

\frac{x}{y}

Solution:

Concept:

Square both sides to remove the square roots and isolate

\frac{x}{y}

Explanation:

Given:

\sqrt{0.06 \times 0.6 \times x}=0.006 \times 0.6 \times \sqrt{y}

Squaring both sides gives:

0.06 \times 0.6 \times x=(0.006 \times 0.6)^2 \times y

Rearranging:

\frac{x}{y}=\frac{(0.006 \times 0.6)^2}{0.06 \times 0.6}

Simplifying:

\frac{x}{y}=0.00036

Converting to fraction:

0.00036=\frac{36}{100000}=\frac{9}{25000}

Answer:

\frac{x}{y}=\frac{9}{25{,}000}

(Option D).

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