(a) $T_mathrmF=T_mathrmC=T$ provides $T=frac95 T+32^circ$ and also $T=-40^circ ;-40^circ mathrmC=-40^circ mathrmF$(b) $T_mathrmF=T_mathrmK=T$ offers $T=frac59left(T-32^circ ight)+273.15$ and also $T=frac94left(-left(frac59 ight)left(32^circ ight)+273.15 ight)=575^circ ; 575^circ mathrmF=575 mathrmK$
You are watching: Calculate the one temperature at which fahrenheit and kelvin thermometers agree with each other.
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all ideal. The question asked you to find the temperature at which the moment our analysis in Fahrenheit will certainly agree via the moment or reading in self. And you put me at the moment of analysis Parent, I would willing in Fahrenheit what agrees via her mom in a reading in Calvin. And you understand what to do. This difficulty We still need the master formula. Teo, convert in between the attempts of scales. So we have PS is equal. Tio Ah, my fifth time's TC T C plus plus 2. And so when at the minute are reading in, Found high agrees through a thermometer analysis in cell phones. That suggests that the temperature in the temperature is the same in both Fahrenheit and Celsius, So you are able to. So I'm permitted Teo to relocation um he asked my TC in this equation and rearranged this equation to discover t. C. Right? So points T s is equal to t. C. Then T c is equal to nine fifteen Time's TC thirty two. So that suggests rearvarying this equation a little little. You're gonna find that negative thirty two is able to ninety minus one T C, which is equal to forty over. Fine, no view would be equal, Tio five times. Meghan thirty two, separated by four. And this is able to negative forty, forty three years. And you and also the thermometer reading in Fahrenheit will certainly greet the very same temperature. That's the first component. The second component is as soon as the second part is as soon as you have Okay, now, I don't remember on optimal of my head that the the formula is open yet from Shanghai to Calvin Tillguy and simply really rob it. So we understand that he s it's equal to knife it times T C plus thirty two. So I will certainly deal with for T C. T. C is equal to thirty pounder two, 5, nine times t f minus thirty two. Right. And this is additionally equal Tio tio minus 2 ninety seven. Just try to every 3, two, seventy 3 and also uncover talent minus two thousand three went so that would certainly expect T Calvin is equal to two seventy three plus 5 nine gs. Maya phone five times thirty 2 divided by nine. And this is equal to community. Seven more minutes. Five times to the winner is equal to 5 nine plans TF. Um pursuit two fifty five suggest 2 from this is okay. And so ask prior to currently we have, Ah, an equation that transform in between Calvin and turn. Right. And considering that the department of two thermometers review the exact same temperature, then you were enabled Teo to rearea T k mighty affable or by sports at the FBI, UK organize tight and equations and, um and also also for t k or T s, for that matter. So I'm going to rearea T f my t k t k is equal to five nine times t k plus two twenty two, fifty 5 point to. So that means we arranges the equation. You're gonna have actually one minus 5 nine time T k is equal to two. Fifty five suggest two. So that implies that's for nine time. T k is to fifty five suggest 2 and t. K is equal. Tio um time's fool, Nelly their civilization to one thirteen allude four Club kelvin Like that. And as soon as you have this, you deserve to easily transform this tio either Fahrenheit or Celsius. So that's the gist of this trouble.