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)

Question

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)

Bytelearn · Accepted Answer

Divide by 78: To isolate c, we need to manipulate the equation j = (m/c) * 78 to solve for c. We start by dividing both sides of the equation by 78 to get rid of the multiplication by 78 on the right side. j / 78 = (m/c) * (78/78)Simplify right side: Simplifying the right side of the equation, we get: j / 78 = m/cMultiply by c: Now, we need to get c by itself. To do this, we can multiply both sides of the equation by c and then divide by j/78 to solve for c. c * (j / 78) = mDivide by (j/78): Finally, we divide both sides of the equation by (j / 78) to isolate c: c = m / (j / 78)Simplify equation: We can simplify the right side of the equation by multiplying by the reciprocal of (j / 78), which is 78 / j: c = m * (78 / j)Final equation: This simplifies to: c = (m * 78) / jWe can now see that the correct equation that expresses c in terms of j and m is: c = (m * 78) / j This matches option (B) c = (m) / (78 * j).

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