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If
(6)/(pt)=11, which of the following correctly expresses
p in terms of
t ?
Choose 1 answer:
(A)
p=(6t)/(11)
(B)
p=(66 )/(t)
(c)
p=(11)/(6t)
(D)
p=(6)/(11 t)

If $\frac{6}{p t}=11$ , which of the following correctly expresses $p$ in terms of $t$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $p=\frac{6 t}{11}$ $\newline$ (B) $p=\frac{66}{t}$ $\newline$ (C) $p=\frac{11}{6 t}$ $\newline$ (D) $p=\frac{6}{11 t}$

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Convert an explicit formula to a recursive formula

Full solution

Q. If

\frac{6}{p t}=11

, which of the following correctly expresses

p

in terms of

t

?

\newline

Choose

1

answer:

\newline

(A)

p=\frac{6 t}{11}

\newline

(B)

p=\frac{66}{t}

\newline

(C)

p=\frac{11}{6 t}

\newline

(D)

p=\frac{6}{11 t}

Isolate $p$ in equation: We are given the equation $\frac{6}{pt} = 11$ . To solve for $p$ in terms of $t$ , we need to isolate $p$ on one side of the equation. $\newline$ We can start by multiplying both sides of the equation by $pt$ to get rid of the fraction. $\newline$ $6 = 11pt$
Multiply by pt: Now, we divide both sides of the equation by $11$ to solve for $p$ . $\newline$ $p = \frac{6}{11t}$
Divide by $11$ : We check our solution to ensure that we have not made any mathematical errors. The operations we performed were basic algebraic manipulations: multiplying both sides by $pt$ and then dividing both sides by $11$ . These steps are correct.

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