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If
(j)/(k)=(4)/(5), which of the following correctly expresses
k in terms of
j ?
Choose 1 answer:
A)
k=(4)/(5j)
(B)
k=(5)/(4j)
(C)
k=(4j)/(5)
(D)
k=(5j)/(4)

If $\frac{j}{k}=\frac{4}{5}$ , which of the following correctly expresses $k$ in terms of $j$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $k=\frac{4}{5 j}$ $\newline$ (B) $k=\frac{5}{4 j}$ $\newline$ (C) $k=\frac{4 j}{5}$ $\newline$ (D) $k=\frac{5 j}{4}$

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Convert an explicit formula to a recursive formula

Full solution

Q. If

\frac{j}{k}=\frac{4}{5}

, which of the following correctly expresses

k

in terms of

j

?

\newline

Choose

1

answer:

\newline

(A)

k=\frac{4}{5 j}

\newline

(B)

k=\frac{5}{4 j}

\newline

(C)

k=\frac{4 j}{5}

\newline

(D)

k=\frac{5 j}{4}

Given equation: We are given the equation $\frac{j}{k} = \frac{4}{5}$ . To find $k$ in terms of $j$ , we need to solve for $k$ .
Multiply by $k$ : Multiply both sides of the equation by $k$ to get rid of the denominator on the left side: $k \times \frac{j}{k} = k \times \frac{4}{5}$ .
Simplify equation: This simplifies to $j = \frac{4k}{5}$ because the $k$ 's cancel out on the left side.
Isolate $k$ : Now, to solve for $k$ , we need to get $k$ by itself on one side of the equation. We can do this by multiplying both sides of the equation by $5$ and then dividing by $4$ .
Multiply by $5$ : Multiplying both sides by $5$ gives us $5j = 4k$ .
Divide by $4$ : Now, divide both sides by $4$ to isolate $k$ : $\frac{5j}{4} = k$ .
Final expression: We have now expressed $k$ in terms of $j$ . The correct expression is $k = \frac{5j}{4}$ , which corresponds to answer choice (D).

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