the table shows temperatures below freezing measured in different units. complete the equation in standard…

the table shows temperatures below freezing measured in different units. complete the equation in standard form to represent the relationship between f, a temperature measured in degrees fahrenheit, and c, a temperature measured in degrees celsius. 5f + c = 39°f = °c rounded to the nearest tenth of a degree\nfreezing temperatures (°)\n| f | c |\n| -13 | -25 |\n| -4 | -20 |\n| 5 | -15 |\n| 14 | -10 |\n| 23 | -5 |

the table shows temperatures below freezing measured in different units. complete the equation in standard form to represent the relationship between f, a temperature measured in degrees fahrenheit, and c, a temperature measured in degrees celsius. 5f + c = 39°f = °c rounded to the nearest tenth of a degree\nfreezing temperatures (°)\n| f | c |\n| -13 | -25 |\n| -4 | -20 |\n| 5 | -15 |\n| 14 | -10 |\n| 23 | -5 |

Answer

Answer:

  1. For the equation $5F+\underline{(-9)}C=\underline{160}$
  2. $39^{\circ}F=\underline{3.9}^{\circ}C$

Explanation:

Step1: Recall the conversion formula

The general formula for converting Fahrenheit ($F$) to Celsius ($C$) is $F=\frac{9}{5}C + 32$. Rearrange it to the standard - form $Ax+By = C$. Starting from $F=\frac{9}{5}C + 32$, multiply through by 5 to get $5F=9C + 160$, then $5F-9C = 160$.

Step2: Convert 39°F to °C

Use the formula $C=\frac{5}{9}(F - 32)$. Substitute $F = 39$ into the formula: $C=\frac{5}{9}(39 - 32)=\frac{5}{9}\times7=\frac{35}{9}\approx3.9$.