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f=12 gh+15 g
The equation gives the quantity 
f in terms of the quantities 
g and 
h. Which of the following equations correctly expresses 
g in terms of 
f and 
h ?
Choose 1 answer:
(A) 
g=(f)/(12 h+15)
(B) 
g=(f)/(12 h-15)
(C) 
g=(f-15)/(12 h)
(D) 
g=(f)/(27 h)

f=12gh+15g f=12 g h+15 g \newlineThe equation gives the quantity f f in terms of the quantities g g and h h . Which of the following equations correctly expresses g g in terms of f f and h h ?\newlineChoose 11 answer:\newline(A) g=f12h+15 g=\frac{f}{12 h+15} \newline(B) g=f12h15 g=\frac{f}{12 h-15} \newline(C) g=f1512h g=\frac{f-15}{12 h} \newline(D) g=f27h g=\frac{f}{27 h}

Full solution

Q. f=12gh+15g f=12 g h+15 g \newlineThe equation gives the quantity f f in terms of the quantities g g and h h . Which of the following equations correctly expresses g g in terms of f f and h h ?\newlineChoose 11 answer:\newline(A) g=f12h+15 g=\frac{f}{12 h+15} \newline(B) g=f12h15 g=\frac{f}{12 h-15} \newline(C) g=f1512h g=\frac{f-15}{12 h} \newline(D) g=f27h g=\frac{f}{27 h}
  1. Factor out gg: We are given the equation f=12gh+15gf = 12gh + 15g. To solve for gg in terms of ff and hh, we need to factor gg out of the right-hand side of the equation.
  2. Obtain simplified equation: Factoring gg out of the right-hand side, we get f=g(12h+15)f = g(12h + 15).
  3. Isolate gg: To isolate gg, we divide both sides of the equation by (12h+15)(12h + 15), which gives us g=f12h+15g = \frac{f}{12h + 15}.
  4. Verify correct equation: We check the options given to see which one matches our derived equation for gg. The correct equation is g=f12h+15g = \frac{f}{12h + 15}, which corresponds to option (A).

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