Question

The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:

Answer 1

To isolate the term containing C, subtract 32 from both sides. Can you do that?

Answer 2

How can i subtract 32 from f? @ospreytriple

Answer 3

It becomes F-32.

Answer 4

f-32=9/5 c+32
-32
f-32=(9/5)c

Is that correct?

Answer 5

Now you should have\[F-32=\frac{ 9 }{ 5 }C\]How should you get rid of the 9/5 and isolate C?

Answer 6

ahhh ok :P u move 9/5 to the other side making it -9/5 correct?

Answer 7

Not quite. The C is being MULTIPLIED by 9/5. What is the inverse operation of multiplication?

Answer 8

division :D

Answer 9

Right. So you need to divide both sides by 9/5. Can you do that?

Answer 10

f=160/9+9/5c correct?

Answer 11

Let's back up and take it in smaller steps. Instead of thinking a C as being multiplied by 9/5, we can think of C as being MULTIPLIED by 9 and DIVIDED by 5. OK?

Answer 12

I'm confused its a variable how do i multiply that

Answer 13

I'm just trying to say that\[\frac{ 9 }{ 5 }C\]and\[\frac{ 9\times C }{ 5 }\]are the same thing. Does that make sense?

Answer 14

Remember, your job is to isolate C.

Answer 15

ahhhhh ok so i just divide 9/5 on that one side theoretically right?

Answer 16

waitttttt that is just 1 and 4/5 :D

Answer 17

Right. But you have to divide BOTH sides by 9/5. What do you get?

Answer 18

\[\frac{ F-32 }{ \frac{ 9 }{ 5 } }=\frac{ \frac{ 9 }{ 5 }C }{ \frac{ 9 }{ 5 }}\]You're doing this. Now simplify.

Answer 19

so 32 divided by 9/5 is 160/9 or 17.7? so its f- 160/9 and 81c/25 ?

Answer 20

What do you get when you divide any number by itself? Like 2/2=?

Answer 21

0 :D

Answer 22

Nope. Try again.

Answer 23

What is 1/1, or 2/2, or 3/3, or 1.8/1.8?

Answer 24

\[F-32=\frac{9C}{5}\]
Instead of diving by 9/5 all at once you can instead multiply by 5 first
\[5(F-32)=\frac{5 \times9C}{5}\]

Answer 25

It is much simpler to understand like this

Answer 26

Thanks @Nishant_Garg . If you read above, we've looked at that.

Answer 27

Yeah the next step you need to figure out @Sparklestaraa

Answer 28

What do you think would happen if we multiply 9C with 5 and divide by 5 aswell, sound like knitting a sweater and tearing it back apart!

Answer 29

Right now we're struggling with 5/5. Any additional insight you can provide are appreciated.

Answer 30

Sorry folks, I have to leave. Good luck @Sparklestaraa.

Answer 31

are you there @sparklesstaraa