Solve for x in the proportion 8/x = 4/5.

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Multiple Choice

Solve for x in the proportion 8/x = 4/5.

Explanation:
This question tests solving a proportion by cross multiplying. When two fractions are equal, the product of the extremes equals the product of the means. So for 8/x = 4/5, cross multiply to get 8 times 5 equals 4 times x. That yields 40 = 4x, and dividing both sides by 4 gives x = 10. Checking shows 8/10 equals 4/5, both 0.8, so the balance holds. Values like 5, 8, or 40 don’t satisfy the proportion because their ratios don’t match 4/5. The solution is x = 10.

This question tests solving a proportion by cross multiplying. When two fractions are equal, the product of the extremes equals the product of the means. So for 8/x = 4/5, cross multiply to get 8 times 5 equals 4 times x. That yields 40 = 4x, and dividing both sides by 4 gives x = 10. Checking shows 8/10 equals 4/5, both 0.8, so the balance holds. Values like 5, 8, or 40 don’t satisfy the proportion because their ratios don’t match 4/5. The solution is x = 10.

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