High School

Paige traveled to Australia and is making her favorite bread recipe. She usually bakes the bread in a [tex]350^\circ F[/tex] oven. She is surprised to learn that the oven temperatures in Australia are measured in degrees Celsius.

In the formula [tex]C = \frac{5}{9}(F - 32)[/tex], [tex]F[/tex] stands for Fahrenheit and [tex]C[/tex] stands for Celsius. Use the formula and the order of operations to help Paige determine how she should set the oven in degrees Celsius.

Answer :

Final answer:

To convert 350°F into Celsius, subtract 32 from the Fahrenheit temperature, multiply by 5, then divide by 9, resulting in approximately 177°C.

Explanation:

Paige's favorite bread recipe requires an oven temperature of 350°F. To convert this temperature into degrees Celsius, which is the common scale used in Australia, we use the formula C = 5(F−32)/9.

Using this formula, we will replace F with 350 to find the Celsius equivalent:

  1. Subtract 32 from the Fahrenheit temperature: 350 - 32 = 318.
  2. Multiply this result by 5: 318 * 5 = 1590.
  3. Divide by 9 to find the Celsius temperature: 1590 / 9 = 176.67, which we can round to 177°C.

Therefore, Paige should set the oven to 177°C in Australia.

Answer:

[tex] C =\frac{5}{9} (350-32) =176.67 C[/tex]

So then the 350 F degrees are equivalent to 176.67 C degrees

Step-by-step explanation:

For this case we are assuming that the temperature of interest is 350 F.

And we want to convert this into Celsius degrees. The formula provided is:

[tex] C = \frac{5}{9} (F-32)[/tex]

This formula comes from this expression:

[tex] F = \frac{9}{5} C +32[/tex]

And solving for C we got:

[tex] F-32 = \frac{9}{5} C[/tex]

[tex] C = \frac{5}{9} (F-32)[/tex]

And replacing we got:

[tex] C =\frac{5}{9} (350-32) =176.67 C[/tex]

So then the 350 F degrees are equivalent to 176.67 C degrees