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88 MULTIPLE CHOICE Question 4 Solve the proportion for p. (3)/(2p+5)=(1)/(9p) A p=(1)/(5) B p=9 C p=(1)/(3) D p=5

Pergunta

88 MULTIPLE CHOICE
Question 4
Solve the proportion for p.
(3)/(2p+5)=(1)/(9p)
A p=(1)/(5)
B p=9
C p=(1)/(3)
D p=5

88 MULTIPLE CHOICE Question 4 Solve the proportion for p. (3)/(2p+5)=(1)/(9p) A p=(1)/(5) B p=9 C p=(1)/(3) D p=5

Solução

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AdrianaAvançado · Tutor por 1 anos

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To solve the proportion for p, we can cross-multiply and then solve for p.<br /><br />$\frac {3}{2p+5}=\frac {1}{9p}$<br /><br />Cross-multiplying gives us:<br /><br />$3 \cdot 9p = 1 \cdot (2p+5)$<br /><br />Simplifying both sides, we get:<br /><br />$27p = 2p + 5$<br /><br />Subtracting 2p from both sides, we have:<br /><br />$25p = 5$<br /><br />Dividing both sides by 25, we get:<br /><br />$p = \frac{5}{25} = \frac{1}{5}$<br /><br />Therefore, the correct answer is A) $p=\frac{1}{5}$.
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