Can someone show me how to get the answer for this problem? I really didn't get it?

Question

The Question is: The Fahrenheit and Celsius scales are related by the equation F = 9/5c +32. What temperature Celsuis would give the body teperature of 98.6F?
Can you please explain to me while you show me steps to do?

Answer 1

Plug in the fahrenheit temp.
98.6 = 9/5c + 32
Subtract 32
66.6 = 9/5c
Get rid of fraction to make easier
333 = 9 c
Divide by 9
37 = c
So the answer is 37 degrees Celsius

Answer 2

ok.. I'll try... (and bonus points to you for asking HOW !! not many are mature or smart enough to do that !!)

first, the concept: Same temperature just a different number scale to rank it. Celsius values are always smaller keep in mind that water freezes at zero C or 32 f and that it boils at 100 c or 212 f - if you can remember those conversions you can always check yourself.

ok.. lets to boiling first C to F

using your formula:

F = ((9*100) / 5 ) + 32 (sorry but this sucks for typing notation)

ok.. thats (900/5) plus 32 or
180 plus 32 which is 212... which is the correct answer

so.. lets drop in your body temp instead here we will be working F to C but that is the same eqution

98.6 = ((9 * C) / 5) +32 (lets dump the 32 first)

98.6 -32 = ((9 * C)/5)

66.6 = ditto.. (now lets multiply both sides by 5

(66.6) * (5) = 9 * C (I simply cancelled out the 5 on the right side)

333 = 9 * C and now we divide both sides by nine and...(drum roll please)


C= 37


try it yourself with 32*F and see if you get 0*C ??

did that help?????


.

Answer 3

if the fahreinheit temperature u want is 98.6 urr equation would be 9/5c+32=98.6. Work backwards. First use the opposite of add 32 which is -32. Your problem is now 9/5c=66.6. solve from there. Good luck!

Answer 4

98.6 = 9/5c + 32
98.6 - 32 = 9/5c + 32 - 32
66.6 = 9/5c
5 * 66.6 = 9/5c *5
333 = 9c
333/9 = 9c / 9
37 = c
temp in celsius is 37 degrees

Answer 5

so you have the equation to convert F-> C, so plug it in
98.6 = 9/5c +32
98.6 - 32 = 9/5c +32 - 32
66.6 = 9/5c
66.6 * 5/9 = 9/5c * 5/9
C = 37

Answer 6

Replace the F with 98.6 and solve for C.