There is one temperature at which te celsius and fahenehit scales have the same reading.?

Question

A) To find that remperature, would you set (1) 5Tc, (2) 9Tf = 5Tc, or (3) Tf=Tc? why? B) find the temperature.

Answer 1

A) Set Tf = Tc. You're trying to find where they are the same, seeing when they are equal is just the way to do it.

B) Tf = (9/5 Tc) + 32

Now, since we want to know the value where the numerical temperatures are equal, let's replace the Tf and Tc with an x, and we'll solve for x to see what value would satisfy the equation:

x = (9/5 x) + 32
==> subtract (9/5 x) from both sides
x - (9/5 x) = 32
==> find common denominator on left side
(5/5 x) - (9/5 x) = 32
==> perform subtraction on left side
-4/5 x = 32
==> multiply by -5/4 to isolate x on left side
(-5/4)(-4/5) x = (-5/4)(32)
==> simplify
x = -40

So, we find that Tf = Tc = -40°.
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Answer 2

for me....
the answer for A is 3....just a mathematical equation....that the two variables are identified to be equal by the equal sign...
for B...
...to change temp from c to f...(9/5 * Tc) + 32...
let Tc = x and substitute the previous equation to the value of Tf
...x=(9/5 * x) + 32
...x=(9x/5) + 32
...transpose to the other side (9x/5)
...x-9x/5=32
...combine similar terms
...(5x-9x)/5 = 32
...-4x/5 = 32
...then cross multiply
...that's why we get -4x = 160
...to get for the value of x subtract each side by -4 (the coefficient of x)
...therefore....the answer is X = -40 (in celcius)
...in f : (9/5 * (-40) ) + 32
(9 * (-8) ) + 32
(-72 + 32)
= -40 still the same....(",)

Answer 3

It is at -40 degrees that Tf=Tc. It is just a mathematical coincidence.

Answer 4

The temperature that Deg C = Deg F is -40. By using the online calculator http://www.robertoweninc.com/applications/tools/calculators/temperature.html you can see this and converter other temperature values between Celsius, Farenheit, Rankine, and Kelvine.

Answer 5

Would you set ??? what do you set ???

The temperature where both meet is -40 (i.e. -40F = -40C).
So I guess with your notation it means Tf = Tc

Answer 6

-40

Answer 7

that temp is -40degrees