Solve the proportion. If there is no solution, enter DNE. (p)/(p-12)=(11)/(8) Solution: p= If there is more than one solution to the equation, use a comma to separate solutions.

Cross-multiply to eliminate fractions: To solve the proportion (p)/(p-12)=(11)/(8), we need to find the value of p that makes the two ratios equal. We can do this by cross-multiplying to get rid of the fractions. Cross-multiplication gives us: p * 8 = 11 * (p - 12).Distribute 11 on the right side: Now we distribute the 11 on the right side of the equation: 8p = 11p - 132.Combine like terms: Next, we need to get all the p terms on one side of the equation and the constants on the other side. We can do this by subtracting 11p from both sides: 8p - 11p = -132.Isolate variable p: This simplifies to: -3p = -132.Solve for p: To solve for p, we divide both sides of the equation by -3: p = (-132) / (-3).Final solution: Dividing -132 by -3 gives us p = 44.

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Math Problems

Precalculus

Find the roots of factored polynomials

Full solution

Q. Solve the proportion. If there is no solution, enter DNE.

\newline

\frac{p}{p-12}=\frac{11}{8}

\newline

Solution:

p=

\newline

If there is more than one solution to the equation, use a comma to separate solutions.

Cross-multiply to eliminate fractions: To solve the proportion $(p)/(p-12)=(11)/(8)$ , we need to find the value of $p$ that makes the two ratios equal. We can do this by cross-multiplying to get rid of the fractions. $\newline$ Cross-multiplication gives us: $p \times 8 = 11 \times (p - 12)$ .
Distribute $11$ on the right side: Now we distribute the $11$ on the right side of the equation: $8p = 11p - 132$ .
Combine like terms: Next, we need to get all the $p$ terms on one side of the equation and the constants on the other side. We can do this by subtracting $11p$ from both sides: $8p - 11p = -132$ .
Isolate variable $p$ : This simplifies to: $-3p = -132$ .
Solve for p: To solve for p, we divide both sides of the equation by $-3$ : $p = (-132) / (-3)$ .
Final solution: Dividing $-132$ by $-3$ gives us $p = 44$ .