Pergunta

5. Counting the number of cricket chirps can provide an estimate of the temperature. The formula below gives the temperature in degrees Celsius based on the number of cricket chirps (n) in 15 seconds. C=(5n+40)/(9) This formula can be rearranged to solve for the number of chirps as a function of the temperature in degrees Celsius. Which formula has been rearranged correctly? A n=(9)/(5)C-8 B. n=(9)/(5)C-40 C. n=(9)/(5)(C-8) D. n=(9)/(5)(C-40)
Solução

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TatianaMestre · Tutor por 5 anos
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To solve for the number of chirps n as a function of the temperature in degrees Celsius C , we need to rearrange the given formula:
C = \frac{5n + 40}{9}
First, multiply both sides by 9 to eliminate the denominator:
9C = 5n + 40
Next, isolate n by subtracting 40 from both sides:
9C - 40 = 5n
Finally, divide both sides by 5 to solve for n :
n = \frac{9}{5}C - 8
So, the correct formula is:
A. n = \frac{9}{5}C - 8
C = \frac{5n + 40}{9}
First, multiply both sides by 9 to eliminate the denominator:
9C = 5n + 40
Next, isolate n by subtracting 40 from both sides:
9C - 40 = 5n
Finally, divide both sides by 5 to solve for n :
n = \frac{9}{5}C - 8
So, the correct formula is:
A. n = \frac{9}{5}C - 8
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