Explain why temperature conversion using mental math works

The metric system uses the Celsius scale to measure temperature.

Step-by-step explanation:

Water freezes at 0o Celsius and boils at 100o Celsius which is a difference of 100o. Water freezes at 32o Fahrenheit and boils at 212o Fahrenheit which is a difference of 180o. Therefore each degree on the Celsius scale is equal to 180/100 or 9/5 degrees on the Fahrenheit scale.

How to convert Celsius temperatures to Fahrenheit

Multiply the Celsius temperature by 9/5.

Add 32o to adjust for the offset in the Fahrenheit scale.

Example: convert 37o C to Fahrenheit.  

37 * 9/5 = 333/5 = 66.6  

66.6 + 32 = 98.6o F

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step-by-step explanation:

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x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i