No account? Create an account

Nov. 2nd, 2007 Temperature conversion scales, Celsius to Fahrenheit and vice versa.

Given that the temperature where the reading is the same on both scales is -40 degrees,

1.) At what temperature is the Fahrenheit reading twice the Celsius?

2.) At what temperature is the Celsius reading twice the Fahrenheit?

(magnitude, regardless of sign-- for instance -40 is twice -20)

Tags: Nov. 2nd, 2007 06:58 pm (UTC)
2) T(c) = -320/13 degrees, or around -24.62. T(f) = -800/65 degrees, or around -12.316.

I'm totally not reproducing the algebra in HTML. Nov. 2nd, 2007 07:06 pm (UTC)
1) T(f) = -320, T(c) = -160 Nov. 2nd, 2007 07:12 pm (UTC)
Whoops, wrong sign. Nov. 2nd, 2007 07:00 pm (UTC)
1) 320°F = 160°C
2) -24.6°C = -12.3°F Nov. 2nd, 2007 07:19 pm (UTC)
42

See? This is why I'm a writer and don't work with numbers. Nov. 2nd, 2007 07:50 pm (UTC)
F = 2C = 9/5 * C + 32
C = 160
F = 320

C = 2F = 5/9 * (F - 32)
F = -160/13, approximately -12.30769
C = -320/13, approximately -24.61538 