QuestionConvert $99.5^{\circ}$ Fahrenheit to Celsius using $1.8 C + 32 = 99.5$ . Round to the nearest tenth.

Studdy Solution

STEP 1

Assumptions1. The temperature in Fahrenheit is $99.5^{\circ}$ F. We are using the formula for converting Fahrenheit to Celsius, which is $C = ( -32) /1.8$
3. We need to solve the equation $1.8 C +32 =99.5$ for $C$
4. The answer should be rounded to the nearest tenth of a degree

STEP 2

First, we need to isolate $C$ on one side of the equation. We can do this by subtracting32 from both sides of the equation.
$1.8 C +32 -32 =99.5 -32$

STEP 3

implify the equation.
$1.8 C =99.5 -32$

STEP 4

Calculate the right side of the equation.
$1.8 C =67.$

STEP 5

Next, we need to isolate $C$ by dividing both sides of the equation by1.8.
$C = \frac{67.5}{1.8}$

STEP 6

Calculate the value of $C$ .
$C = \frac{67.5}{1.8} =37.5$

STEP 7

Round the answer to the nearest tenth of a degree.
$C \approx37.5^{\circ}$ So, the temperature in degrees Celsius was approximately $37.5^{\circ}$ C.

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QuestionConvert $99.5^{\circ}$ Fahrenheit to Celsius using $1.8 C + 32 = 99.5$ . Round to the nearest tenth.

Studdy Solution

STEP 1

Assumptions1. The temperature in Fahrenheit is $99.5^{\circ}$ F. We are using the formula for converting Fahrenheit to Celsius, which is $C = ( -32) /1.8$
3. We need to solve the equation $1.8 C +32 =99.5$ for $C$
4. The answer should be rounded to the nearest tenth of a degree

STEP 2

First, we need to isolate $C$ on one side of the equation. We can do this by subtracting32 from both sides of the equation.
$1.8 C +32 -32 =99.5 -32$

STEP 3

implify the equation.
$1.8 C =99.5 -32$

STEP 4

Calculate the right side of the equation.
$1.8 C =67.$

STEP 5

Next, we need to isolate $C$ by dividing both sides of the equation by1.8.
$C = \frac{67.5}{1.8}$

STEP 6

Calculate the value of $C$ .
$C = \frac{67.5}{1.8} =37.5$

STEP 7

Round the answer to the nearest tenth of a degree.
$C \approx37.5^{\circ}$ So, the temperature in degrees Celsius was approximately $37.5^{\circ}$ C.

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QuestionConvert 99.5∘99.5^{\circ}99.5∘ Fahrenheit to Celsius using 1.8C+32=99.51.8 C + 32 = 99.51.8C+32=99.5. Round to the nearest tenth.

Studdy Solution

STEP 1

STEP 2

First, we need to isolate CCC on one side of the equation. We can do this by subtracting32 from both sides of the equation.1.8C+32−32=99.5−321.8 C +32 -32 =99.5 -321.8C+32−32=99.5−32

STEP 3

implify the equation.1.8C=99.5−321.8 C =99.5 -321.8C=99.5−32

STEP 4

Calculate the right side of the equation.1.8C=67.1.8 C =67.1.8C=67.

STEP 5

Next, we need to isolate CCC by dividing both sides of the equation by1.8.C=67.51.8C = \frac{67.5}{1.8}C=1.867.5​

STEP 6

Calculate the value of CCC.C=67.51.8=37.5C = \frac{67.5}{1.8} =37.5C=1.867.5​=37.5

STEP 7

Round the answer to the nearest tenth of a degree.C≈37.5∘C \approx37.5^{\circ}C≈37.5∘So, the temperature in degrees Celsius was approximately 37.5∘37.5^{\circ}37.5∘ C.

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QuestionConvert $99.5^{\circ}$ Fahrenheit to Celsius using $1.8 C + 32 = 99.5$ . Round to the nearest tenth.

First, we need to isolate $C$ on one side of the equation. We can do this by subtracting32 from both sides of the equation.
$1.8 C +32 -32 =99.5 -32$

implify the equation.
$1.8 C =99.5 -32$

Calculate the right side of the equation.
$1.8 C =67.$

Next, we need to isolate $C$ by dividing both sides of the equation by1.8.
$C = \frac{67.5}{1.8}$

Calculate the value of $C$ .
$C = \frac{67.5}{1.8} =37.5$

Round the answer to the nearest tenth of a degree.
$C \approx37.5^{\circ}$ So, the temperature in degrees Celsius was approximately $37.5^{\circ}$ C.