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j=(m)/(c)*78
Which of the following equations correctly expresses
c in terms of
j and
m ?
Choose 1 answer:
(A)
c=(m)/(j)*78
(B)
c=(m)/(78*j)
(c)
c=(j)/(m)*78
(D)
c=(j)/(78*m)

$j=\frac{m}{c} \cdot 78$ $\newline$ Which of the following equations correctly expresses $c$ in terms of $j$ and $m$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $c=\frac{m}{j} \cdot 78$ $\newline$ (B) $c=\frac{m}{78 \cdot j}$ $\newline$ (C) $c=\frac{j}{m} \cdot 78$ $\newline$ (D) $c=\frac{j}{78 \cdot m}$

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Compare linear and exponential growth

Full solution

Q.

j=\frac{m}{c} \cdot 78

\newline

Which of the following equations correctly expresses

c

in terms of

j

and

m

?

\newline

Choose

1

answer:

\newline

(A)

c=\frac{m}{j} \cdot 78

\newline

(B)

c=\frac{m}{78 \cdot j}

\newline

(C)

c=\frac{j}{m} \cdot 78

\newline

(D)

c=\frac{j}{78 \cdot m}

Given Equation: Given the equation $j = \frac{m}{c} \times 78$ , we want to solve for $c$ in terms of $j$ and $m$ .
Divide by $78$ : To isolate $c$ , we need to get rid of the $78$ that is being multiplied by $m/c$ . We can do this by dividing both sides of the equation by $78$ . $\frac{j}{78} = \frac{(m/c) \times 78}{78}$
Simplify Right Side: Simplifying the right side of the equation, we get: $\frac{j}{78} = \frac{m}{c}$
Take Reciprocal: Now, to solve for $c$ , we need to take the reciprocal of both sides of the equation. This will give us $c$ on one side by itself. $\newline$ $c = \frac{m}{\left(\frac{j}{78}\right)}$
Simplify Right Side: We can simplify the right side of the equation by multiplying $m$ by the reciprocal of $\frac{j}{78}$ , which is $\frac{78}{j}$ . $c = m \times \left(\frac{78}{j}\right)$
Rewrite Equation: Finally, we can rewrite the equation to match the format of the answer choices: $c = \frac{m}{j} \times 78$
Final Equation: Comparing our final equation with the answer choices, we see that it matches with choice (B): $c = \frac{m}{78 \times j}$

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