Question

The day's high temperature in Boston, Massachusetts was recorded as 50°F. Use the formula C= 5/9 (F-32) to write 50°F as degrees Celsius.
The day's high temperature written as degrees Celsius is
___C​

Answer 1

The highest day temperature was 50°F in Boston, Massachusetts.

The value of temperature in Fahrenheit is 50°F.

Let's express in terms of Celcius temperature.

$\boxed{\sf{C=\dfrac{5}{9} (F-32)}}\sf{(F=50)}$

$\implies\sf{C=\dfrac{5}{9} \times (50-32)}$

$\implies\sf{C=\dfrac{5}{9} \times 28}$

$\implies\sf{C=\dfrac{140}{9} }$

Hence, the temperature is $\sf{\dfrac{140}{9} }$ °C.

In decimal value $\sf{15.\bar{5}}$ °C(Bar for repeating decimal).

More information:

Fahrenheit was named after a Polak inventor who made the Fahrenheit scale himself.

The scale was invented in the rule below.

• 180°F the water's boiling point
• 0°F is the water's freezing point

180°F was chosen because it has many factors. This way, many fractions can be expressed without decimals.