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If $\frac{6}{p}=11$ , which of the following correctly expresses $p$ in terms of $t$ ?

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Determine the direction of a vector scalar multiple

Full solution

Q. If

\frac{6}{p}=11

, which of the following correctly expresses

p

in terms of

t

?

Isolate $p$ in equation: First, we need to isolate $p$ on one side of the equation to express $p$ in terms of $t$ . We start with the given equation: $\newline$ $\frac{6}{pt} = 11$ $\newline$ To do this, we can multiply both sides of the equation by $pt$ to get rid of the fraction. $\newline$ $(pt)(\frac{6}{pt}) = 11(pt)$
Multiply by pt: After multiplying both sides by $pt$ , we notice that $pt$ in the numerator and denominator on the left side will cancel out, leaving us with: $6 = 11pt$
Cancel out pt: Now, we need to isolate $p$ . To do this, we divide both sides of the equation by $11t$ . $\newline$ $\frac{6}{11t} = \frac{11pt}{11t}$
Isolate $p$ : Dividing both sides by $11t$ , we simplify the equation to get $p$ on its own: $\newline$ $p = \frac{6}{11t}$

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