Solve for F in terms of K:

Question

Luda [366]

3 years ago

15

Solve for F in terms of K:

title="K=\frac{5}{9}(F+459.67)" alt="K=\frac{5}{9}(F+459.67)" align="absmiddle" class="latex-formula">

Mathematics

2 answers:

Pepsi [2] · Answer 1 · 2022-01-23T10:56:49+03:00

Pepsi [2]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

Multiply both sides by 9 to eliminate the fraction

9K = 5(F + 459.67) ← divide both sides by 5

F + 459.67 = $\frac{9}{5}$ K ( subtract 459.67 from both sides )

F = $\frac{9}{5}$ K - 459.67

oee [108] · Answer 2 · 2022-01-23T12:32:18+03:00

oee [108]3 years ago

3 0

Answer:

$\large\boxed{F=1.8K-459.67}$

Step-by-step explanation:

$\dfrac{5}{9}(F+459.67)=K\qquad\text{multiply both sides by}\ \dfrac{9}{5}\\\\\dfrac{9\!\!\!\!\diagup^1}{5\!\!\!\!\diagup_1}\cdot\dfrac{5\!\!\!\!\diagup^1}{9\!\!\!\!\diagup_1}(F+459.67)=\dfrac{9}{5}K\\\\F+459.67=1.8K\qquad\text{subtract 459.67 from both sides}\\\\F=1.8K-459.67$