Asked by jojo
Select the two correct answers. The ratio 0.9 to 2 is equivalent to p/10. Which equations are true? A. 2p = \frac{9}{10} B. 9 = 2p C. \frac{2}{p} = 0.9 D. \frac{0.9}{p} = \frac{2}{10} E. 10p = 1.8 F. 0.9p = 20
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B and D.
Reason: 0.9:2 = p:10 gives 0.9/2 = p/10. Cross-multiply: 0.9·10 = 2p → 9 = 2p (B). From 9 = 2p you get p = 4.5, and 0.9/p = 0.9/4.5 = 0.2 = 2/10 (D). All other options are false.
Reason: 0.9:2 = p:10 gives 0.9/2 = p/10. Cross-multiply: 0.9·10 = 2p → 9 = 2p (B). From 9 = 2p you get p = 4.5, and 0.9/p = 0.9/4.5 = 0.2 = 2/10 (D). All other options are false.
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