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Let’s check out your problem:
j
=
m
c
⋅
78
j = \frac{m}{c} \cdot 78
j
=
c
m
⋅
78
\newline
Which of the following equations correctly expresses
c
c
c
in terms of
j
j
j
and
m
m
m
?
\newline
Choose
1
1
1
answer:
\newline
(A)
c
=
m
j
⋅
78
c = \frac{m}{j} \cdot 78
c
=
j
m
⋅
78
\newline
(B)
c
=
m
78
⋅
j
c = \frac{m}{78 \cdot j}
c
=
78
⋅
j
m
\newline
(C)
c
=
j
m
⋅
78
c = \frac{j}{m} \cdot 78
c
=
m
j
⋅
78
\newline
(D)
c
=
j
78
⋅
m
c = \frac{j}{78 \cdot m}
c
=
78
⋅
m
j
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Math Problems
Calculus
Find derivatives of using multiple formulae
Full solution
Q.
j
=
m
c
⋅
78
j = \frac{m}{c} \cdot 78
j
=
c
m
⋅
78
\newline
Which of the following equations correctly expresses
c
c
c
in terms of
j
j
j
and
m
m
m
?
\newline
Choose
1
1
1
answer:
\newline
(A)
c
=
m
j
⋅
78
c = \frac{m}{j} \cdot 78
c
=
j
m
⋅
78
\newline
(B)
c
=
m
78
⋅
j
c = \frac{m}{78 \cdot j}
c
=
78
⋅
j
m
\newline
(C)
c
=
j
m
⋅
78
c = \frac{j}{m} \cdot 78
c
=
m
j
⋅
78
\newline
(D)
c
=
j
78
⋅
m
c = \frac{j}{78 \cdot m}
c
=
78
⋅
m
j
Given Equation:
We start with the given equation:
j
=
(
m
c
)
×
78
j = \left(\frac{m}{c}\right) \times 78
j
=
(
c
m
)
×
78
. To solve for
c
c
c
, we need to isolate
c
c
c
on one side of the equation.
Divide by
78
78
78
:
First, we divide both sides of the equation by
78
78
78
to get rid of the multiplication by
78
78
78
on the right side. This gives us:
\newline
j
78
=
m
c
\frac{j}{78} = \frac{m}{c}
78
j
=
c
m
.
Take Reciprocal:
Next, we need to get
c
c
c
by itself. To do this, we can take the reciprocal of both sides of the equation. This gives us:
\newline
c
m
=
78
j
\frac{c}{m} = \frac{78}{j}
m
c
=
j
78
.
Multiply by
m
m
m
:
Finally, we multiply both sides of the equation by
m
m
m
to solve for
c
c
c
. This gives us:
\newline
c
=
(
m
)
×
(
78
j
)
c = (m) \times (\frac{78}{j})
c
=
(
m
)
×
(
j
78
)
.
Compare with Options:
Now we compare our result with the given options. Our result,
c
=
(
m
)
×
(
78
j
)
c = (m) \times (\frac{78}{j})
c
=
(
m
)
×
(
j
78
)
, matches option (B)
c
=
m
78
×
j
c = \frac{m}{78\times j}
c
=
78
×
j
m
.
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