QuestionConvert $103.1^{\circ}$ Fahrenheit to Celsius using $1.8 C + 32 = 103.1$ . Round to the nearest tenth.

Studdy Solution

STEP 1

Assumptions1. The formula to convert Fahrenheit to Celsius is $1.8C +32 = F$ . The given Fahrenheit temperature is $103.1^{\circ}$ Fahrenheit3. We need to find the Celsius temperature (C)

STEP 2

First, we need to set up the equation using the given Fahrenheit temperature and the conversion formula.
$1.8C +32 =103.1$

STEP 3

Now, we need to isolate the Celsius temperature (C) on one side of the equation. We can do this by subtracting32 from both sides of the equation.
$1.8C =103.1 -32$

STEP 4

Now, calculate the right side of the equation.
$1.8C =103.1 -32 =71.1$

STEP 5

Next, we need to isolate C by dividing both sides of the equation by1.8.
$C = \frac{71.1}{1.8}$

STEP 6

Now, calculate the value of C.
$C = \frac{71.1}{1.8} \approx39.5$ So, the temperature in degrees Celsius is approximately $39.5^{\circ}$ Celsius.

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QuestionConvert $103.1^{\circ}$ Fahrenheit to Celsius using $1.8 C + 32 = 103.1$ . Round to the nearest tenth.

Studdy Solution

STEP 1

Assumptions1. The formula to convert Fahrenheit to Celsius is $1.8C +32 = F$ . The given Fahrenheit temperature is $103.1^{\circ}$ Fahrenheit3. We need to find the Celsius temperature (C)

STEP 2

First, we need to set up the equation using the given Fahrenheit temperature and the conversion formula.
$1.8C +32 =103.1$

STEP 3

Now, we need to isolate the Celsius temperature (C) on one side of the equation. We can do this by subtracting32 from both sides of the equation.
$1.8C =103.1 -32$

STEP 4

Now, calculate the right side of the equation.
$1.8C =103.1 -32 =71.1$

STEP 5

Next, we need to isolate C by dividing both sides of the equation by1.8.
$C = \frac{71.1}{1.8}$

STEP 6

Now, calculate the value of C.
$C = \frac{71.1}{1.8} \approx39.5$ So, the temperature in degrees Celsius is approximately $39.5^{\circ}$ Celsius.

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QuestionConvert 103.1∘103.1^{\circ}103.1∘ Fahrenheit to Celsius using 1.8C+32=103.11.8 C + 32 = 103.11.8C+32=103.1. Round to the nearest tenth.

Studdy Solution

STEP 1

Assumptions1. The formula to convert Fahrenheit to Celsius is 1.8C+32=F1.8C +32 = F1.8C+32=F . The given Fahrenheit temperature is 103.1∘103.1^{\circ}103.1∘ Fahrenheit3. We need to find the Celsius temperature (C)

STEP 2

First, we need to set up the equation using the given Fahrenheit temperature and the conversion formula.1.8C+32=103.11.8C +32 =103.11.8C+32=103.1

STEP 3

Now, we need to isolate the Celsius temperature (C) on one side of the equation. We can do this by subtracting32 from both sides of the equation.1.8C=103.1−321.8C =103.1 -321.8C=103.1−32

STEP 4

Now, calculate the right side of the equation.1.8C=103.1−32=71.11.8C =103.1 -32 =71.11.8C=103.1−32=71.1

STEP 5

Next, we need to isolate C by dividing both sides of the equation by1.8.C=71.11.8C = \frac{71.1}{1.8}C=1.871.1​

STEP 6

Now, calculate the value of C.C=71.11.8≈39.5C = \frac{71.1}{1.8} \approx39.5C=1.871.1​≈39.5So, the temperature in degrees Celsius is approximately 39.5∘39.5^{\circ}39.5∘ Celsius.

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QuestionConvert $103.1^{\circ}$ Fahrenheit to Celsius using $1.8 C + 32 = 103.1$ . Round to the nearest tenth.

Assumptions1. The formula to convert Fahrenheit to Celsius is $1.8C +32 = F$ . The given Fahrenheit temperature is $103.1^{\circ}$ Fahrenheit3. We need to find the Celsius temperature (C)

First, we need to set up the equation using the given Fahrenheit temperature and the conversion formula.
$1.8C +32 =103.1$

Now, we need to isolate the Celsius temperature (C) on one side of the equation. We can do this by subtracting32 from both sides of the equation.
$1.8C =103.1 -32$

Now, calculate the right side of the equation.
$1.8C =103.1 -32 =71.1$

Next, we need to isolate C by dividing both sides of the equation by1.8.
$C = \frac{71.1}{1.8}$

Now, calculate the value of C.
$C = \frac{71.1}{1.8} \approx39.5$ So, the temperature in degrees Celsius is approximately $39.5^{\circ}$ Celsius.