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Solve for $n$ . $\frac{12}{5}=\frac{n}{8}$ $\newline$ $n = \Box$

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Find higher derivatives of rational and radical functions

Full solution

Q. Solve for

n

.

\frac{12}{5}=\frac{n}{8}

\newline

n = \Box

Cross-Multiply Ratios: To solve for n in the proportion $\frac{12}{5} = \frac{n}{8}$ , we need to find the value of n that makes the two ratios equivalent. $\newline$ We can do this by cross-multiplying the two ratios. $\newline$ So, we multiply $12$ by $8$ and $5$ by n. $\newline$ $12 \times 8 = 5 \times n$
Calculate Left Side: Now we perform the multiplication on the left side of the equation. $\newline$ $12 \times 8 = 96$ $\newline$ So, the equation now is: $\newline$ $96 = 5 \times n$
Isolate Variable: Next, we need to isolate n by dividing both sides of the equation by $5$ . $\newline$ $n = \frac{96}{5}$
Find Value of n: Finally, we divide $96$ by $5$ to find the value of n. $\newline$ $n = 19.2$

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