Math / Algebra

Question(1) You can use the expression $\frac{5}{9}(F-32)$ to find a temperature in degrees Celsius when you know the temperature Fin degrees Fahrenhelt. The temperature of a room is $77^{\circ}$ Fahrenheit. What is the temperature of the room in degrees Celslus? Show your work.

Studdy Solution

STEP 1

What is this asking? Given a formula to convert Fahrenheit to Celsius, what's the temperature in Celsius if the room is 77 degrees Fahrenheit? Watch out! Don't forget to follow the order of operations, and make sure your units are correct!

STEP 2

1. Substitute the Fahrenheit value.
2. Calculate the difference.
3. Multiply the fraction by the difference.

STEP 3

Alright, let's kick things off!
We're given this super cool formula to convert Fahrenheit to Celsius: $\frac{5}{9}(F-32)$ .
Our mission?
To find the Celsius temperature when $F$ is 77 degrees Fahrenheit.

STEP 4

So, let's substitute our Fahrenheit value, which is 77, into the formula.
This gives us $\frac{5}{9}(77-32)$ .
See? We just replaced $F$ with 77!

STEP 5

Next up, we need to tackle the parentheses first!
Remember the order of operations, PEMDAS/BODMAS?
Parentheses/Brackets come before anything else.

STEP 6

Inside the parentheses, we have $77 - 32$ .
This gives us 45.
So, our expression now looks like this: $\frac{5}{9} \cdot 45$ .
Remember, parentheses mean multiply!

STEP 7

Now, we're going to multiply our fraction by the result we just got.
Remember, multiplying fractions is as easy as pie.

STEP 8

We have $\frac{5}{9} \cdot 45$ .
We can rewrite 45 as $\frac{45}{1}$ .
So, we have $\frac{5}{9} \cdot \frac{45}{1}$ .

STEP 9

Now, multiply the numerators (top numbers) together: $5 \cdot 45 = 225$ .
Then, multiply the denominators (bottom numbers) together: $9 \cdot 1 = 9$ .
This gives us $\frac{225}{9}$ .

Question(1) You can use the expression $\frac{5}{9}(F-32)$ to find a temperature in degrees Celsius when you know the temperature Fin degrees Fahrenhelt. The temperature of a room is $77^{\circ}$ Fahrenheit. What is the temperature of the room in degrees Celslus? Show your work.

Studdy Solution

STEP 1

What is this asking? Given a formula to convert Fahrenheit to Celsius, what's the temperature in Celsius if the room is 77 degrees Fahrenheit? Watch out! Don't forget to follow the order of operations, and make sure your units are correct!

STEP 2

1. Substitute the Fahrenheit value.
2. Calculate the difference.
3. Multiply the fraction by the difference.

STEP 3

Alright, let's kick things off!
We're given this super cool formula to convert Fahrenheit to Celsius: $\frac{5}{9}(F-32)$ .
Our mission?
To find the Celsius temperature when $F$ is 77 degrees Fahrenheit.

STEP 4

So, let's substitute our Fahrenheit value, which is 77, into the formula.
This gives us $\frac{5}{9}(77-32)$ .
See? We just replaced $F$ with 77!

STEP 5

Next up, we need to tackle the parentheses first!
Remember the order of operations, PEMDAS/BODMAS?
Parentheses/Brackets come before anything else.

STEP 6

Inside the parentheses, we have $77 - 32$ .
This gives us 45.
So, our expression now looks like this: $\frac{5}{9} \cdot 45$ .
Remember, parentheses mean multiply!

STEP 7

Now, we're going to multiply our fraction by the result we just got.
Remember, multiplying fractions is as easy as pie.

STEP 8

We have $\frac{5}{9} \cdot 45$ .
We can rewrite 45 as $\frac{45}{1}$ .
So, we have $\frac{5}{9} \cdot \frac{45}{1}$ .

STEP 9

Now, multiply the numerators (top numbers) together: $5 \cdot 45 = 225$ .
Then, multiply the denominators (bottom numbers) together: $9 \cdot 1 = 9$ .
This gives us $\frac{225}{9}$ .

STEP 10

Finally, we divide 225 by 9.
And guess what?
We get 25!

STEP 11

So, the temperature of the room in degrees Celsius is 25 degrees!

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Studdy Solution

STEP 1

What is this asking? Given a formula to convert Fahrenheit to Celsius, what's the temperature in Celsius if the room is 77 degrees Fahrenheit? Watch out! Don't forget to follow the order of operations, and make sure your units are correct!

STEP 2

1. Substitute the Fahrenheit value.2. Calculate the difference.3. Multiply the fraction by the difference.

STEP 3

Alright, let's **kick things off**!We're given this super cool formula to convert Fahrenheit to Celsius: 59(F−32) \frac{5}{9}(F-32) 95​(F−32).Our mission?To find the Celsius temperature when FFF is **77 degrees** Fahrenheit.

STEP 4

So, let's **substitute** our Fahrenheit value, which is **77**, into the formula.This gives us 59(77−32) \frac{5}{9}(77-32) 95​(77−32).See? We just **replaced** FFF with **77**!

STEP 5

Next up, we need to tackle the **parentheses** first!Remember the **order of operations**, PEMDAS/BODMAS?Parentheses/Brackets come before anything else.

STEP 6

Inside the parentheses, we have 77−3277 - 3277−32.This gives us **45**.So, our expression now looks like this: 59⋅45 \frac{5}{9} \cdot 45 95​⋅45.Remember, parentheses mean multiply!

STEP 7

Now, we're going to **multiply** our fraction by the result we just got.Remember, multiplying fractions is as easy as pie.

STEP 8

We have 59⋅45 \frac{5}{9} \cdot 45 95​⋅45.We can rewrite 45 as 451\frac{45}{1}145​.So, we have 59⋅451\frac{5}{9} \cdot \frac{45}{1}95​⋅145​.

STEP 9

Now, multiply the numerators (top numbers) together: 5⋅45=2255 \cdot 45 = 2255⋅45=225.Then, multiply the denominators (bottom numbers) together: 9⋅1=99 \cdot 1 = 99⋅1=9.This gives us 2259 \frac{225}{9} 9225​.

STEP 10

Finally, we **divide** 225 by 9.And guess what?We get **25**!

STEP 11

So, the temperature of the room in degrees Celsius is **25 degrees**!

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. Substitute the Fahrenheit value.
2. Calculate the difference.
3. Multiply the fraction by the difference.

Alright, let's kick things off!
We're given this super cool formula to convert Fahrenheit to Celsius: $\frac{5}{9}(F-32)$ .
Our mission?
To find the Celsius temperature when $F$ is 77 degrees Fahrenheit.

So, let's substitute our Fahrenheit value, which is 77, into the formula.
This gives us $\frac{5}{9}(77-32)$ .
See? We just replaced $F$ with 77!

Next up, we need to tackle the parentheses first!
Remember the order of operations, PEMDAS/BODMAS?
Parentheses/Brackets come before anything else.

Inside the parentheses, we have $77 - 32$ .
This gives us 45.
So, our expression now looks like this: $\frac{5}{9} \cdot 45$ .
Remember, parentheses mean multiply!

Now, we're going to multiply our fraction by the result we just got.
Remember, multiplying fractions is as easy as pie.

We have $\frac{5}{9} \cdot 45$ .
We can rewrite 45 as $\frac{45}{1}$ .
So, we have $\frac{5}{9} \cdot \frac{45}{1}$ .

Now, multiply the numerators (top numbers) together: $5 \cdot 45 = 225$ .
Then, multiply the denominators (bottom numbers) together: $9 \cdot 1 = 9$ .
This gives us $\frac{225}{9}$ .

Finally, we divide 225 by 9.
And guess what?
We get 25!

So, the temperature of the room in degrees Celsius is 25 degrees!