calculating Wind Chill Word Problem Solve for C

[kim01]

Okay, this is my first post so I appreciate anyone who can help. This is a word problem and I am asked to Solve the equation for C. The problem reads as follows
Recall the formula for calculating windchill (Celsius)
W subscript c: wind chill (in degrees Celsius)
K: wind speed (in Kilometers per hour)
C: air temperature (in degrees Celcius)
and the formula listed is

W subscript c =.23715C square root K - 7.82595 square root K -.0126CK + .4158K + .47025C + 17.48175
The it just says solve for C.
So far, I've ended up with
W subscript c plus 7.82595 square root k - .4158K - 17.48175 / .23715 square root k - .0126K + .47025 = C

My question is, can I solve this further and if not, is my arrangement correct as listed?
No further information is listed for any values besides the forumula given. The question is given with other homework labeled literal equations.
Any help you can offer is greatly appreciated.
Kim

 

[stapel]

...and the formula listed is

W subscript c =.23715C square root K - 7.82595 square root K -.0126CK + .4158K + .47025C + 17.48175

Do you mean the following?

. . .text formatting:

. . . . .W_c = 0.23715C sqrt[K] - 7.82595 sqrt[K] - 0.0126CK + 0.4158K + 0.47025C + 17.48175

. . .LaTeX:

. . . . .\(\displaystyle W_C\, =\, 0.23715 C \sqrt{K}\, -\, 7.82595 \sqrt{K}\, -\, 0.0126 CK\, +\, 0.4158 K \, +\, 0.47025 C\, +\, 17.48175\)

In particular, do the above correctly indicate what is inside the radicals? Thank you!

 

[mmm4444bot]

Properly phrased, the first part of your question should be "Can my expression for C be simplified?"

(In math terminology, there is a difference between solving and simplifying. Once you write C = something, it's solved.)

The answer is no because of the decimals. Maybe, one could factor out 0.111... , but that would not simplify anything.

The answer to the second part of your question is "Yes, your answer is correct", regardless of the first part.

When we type algebraic fractions with a keyboard, we need to include grouping symbols to clearly show what is in the numerator and what is in the denominator.

C = [W_c + 7.82595 sqrt(K) - 0.4158K - 17.48175]/[0.23715 sqrt(K) - 0.0126K + 0.47025]

I verified this with C = 15, K = 25, W_c = 8.862 in both equations.

 

[kim01]

Yes, the formula that was written out with the editor is correctly written as it is on my paper. I was trying to follow the rules in listing everything that is on the paper. The request said Solve the equation for C so that's what I listed. If I am following the two very prompt and highly appreciated responses, the answer I have listed is correct. I haven't used the buttons up to the top of this screen and didn't want to risk inaccurancy. At any rate, am I safe to assume the answer I listed originally is correct?
Thanks again for both very timely responses!
Kim

 

[mmm4444bot]

… am I safe to assume the answer I listed originally is correct? …

I do not understand why you asked this, since I already told you: "Yes, your answer is correct".

I also told you that I substituted values for W_c, C, and K into both the given equation and your result, and that I confirmed that your answer is correct.

So, indirectly, I've told you twice that your answer is correct.

You do not believe me?