While on vacation in Canada, you notice that temperatures are reported in degrees Celsius. You know there is a linear
relationship between Fahrenheit and Celsius, but you forget the formula. you remember the freezing point of water is 0°C
or 32°F and its boiling point is 100°C or 212°F
a Write an equation that represents degrees Fahrenheit in terms of degrees Celsius. Let x represent the temperature in degrees Celsius and
let y represent the temperature in degrees Fahrenheit

Answers

Answer 1

Since , the relation is linear .

Let equation is y = mx + c .

Putting , x = 0 and y = 32 .

32 = c  .......( 1 )

Also , putting x = 100 and y = 212 .

We get :

212 = 100m + c .......( 2 )

Comparing equation 1 and 2 .

100m = 212 - 32

x = 1.8

Therefore , y = 1.8x + 32 .

Hence , this is the required solution .

Answer 2

[tex]y=\dfrac{9}{5}x+32[/tex]  represents degrees Fahrenheit in terms of degrees Celsius. where  x represent the temperature in degrees Celsius and y represents the temperature in degrees Fahrenheit.

Temperature can be expressed in different units like degrees Celsius and degrees Fahrenheit.

Let us consider two variables x and y as following:

x represent the temperature in degrees Celsius

y represent the temperature in degrees Fahrenheit

Equation depicting relation between variable x and y is

[tex]y-y_1=m(x-x_1)[/tex]...........................1

where,  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Using the given conditions:

[tex](x_1,y_1)=(0,32) \text{\ and\ }(x_2,y_2)=(100,212)[/tex]

Substituting to calculate the value of m,

[tex]m=\dfrac{212-32}{100-0}\\\\m=\dfrac{180}{100}\\\\m=9/5[/tex]

From equation 1

[tex]y-32=\dfrac{9}{5}(x-0)\\y-32=\dfrac{9}{5}x\\y=\dfrac{9}{5}x+32[/tex]

Thus, an equation that representing degrees Fahrenheit in terms of degrees Celsius is  [tex]y=\dfrac{9}{5}x+32[/tex].

Learn more about unit conversion, here:

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Related Questions

please i need help with these problems thank you!!

Answers

First pic power of -2
Second pic the power of y and x is -3

-2x+5=24 I need help!!!

Answers

Answer:

[tex]x=-\frac{19}{2}[/tex]

Step-by-step explanation:

hope that was the answer you were looking for :/

Answer:

x = -19/2

Step-by-step explanation:

[tex]-2x+5=24[/tex]

Then subtract 5 from 24

[tex]-2x=19[/tex]

Then divide -2 by 19 to get:

[tex]x = -\frac{19}{2}[/tex]

Hope this helps!

-25 = 1/2 (10x - 2) + 3x what is x?

Answers

Answer:

x=[tex]-\frac{1+2i\sqrt{31} }{5}[/tex]

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

−25=  [tex]\frac{1}{2}[/tex]  (10x−2)+3x

−25=([tex]\frac{1}{2}[/tex])(10x)+( [tex]\frac{1}{2}[/tex] )(−2)+3x(Distribute)

−25=5x+−1+3x

−25=(5x+3x)+(−1)(Combine Like Terms)

−25=8x+−1

−25=8x−1

Step 2: Flip the equation.

8x−1=−25

Step 3: Add 1 to both sides.

8x−1+1=−25+1

8x=−24

Step 4: Divide both sides by 8.

8x  ÷ 8   =   −24  ÷ 8

Johnathon is planting potatoes and carrots in his
garden. He has 30 potato plants and 50 carrot plants.
He wants to distribute the two types of plants equally
among the rows.
What is the greatest number of rows he can make?

Answers

Answer: 3

Step-by-step explanation: well if he does rows of 10 then it will have to be 3   and he will have 20 potato plants left over.

Evaluate (2 - 5 i) (p + q) (i) when p = 2 and q = 5 i

Answers

Answer:

29i

Step-by-step explanation:

https://socratic                 .org/questions/how-do-you-evaluate-2-5i-p-q-i-when-p-2-and-q-5i#304498

If you want a description, copy that into your browser and take out the spaces between "socratic" and ".org".

Answer:

A

Step-by-step explanation:

Your car's gas tank is 3/4 full before you leave for your trip. When you stop at the gas station, the tank is only 1/12 full. Show the amount of change as a rational number.

Answers

Answer:

2/3

Step-by-step explanation:

Find the value of x.
A. 13
B. 16
C. 10
D. 17

Answers

Answer:

C.10

Step-by-step explanation:

Since the angels are vertical we know hey are congruent so set them equal to each other.First subract 3 from both sides. The equation now is 60=6x. Next divde both sidesz by 6. The equation now is x=10.

I hope this helped and have a great day!

(Please vote this the brainliest)

Answer:

it's C. 10

Step-by-step explanation:

6(10)+3 = 63

6(13)+3 = 81

the answer need to equal the same amount as the top one which is 63 because that's a vertical angle

Each team earns 1 point for each person who participated in the track-and-field day. Who wins the meet---the eighth graders or the seventh graders?

Answers

Answer:

THE SEVENTH GRADERS

Step-by-step explanation:

next time give more context tho, but the seventh graders got 712 points while the eighth graders got 332 points. love from granny smith y'all!

Answer:

7th

Step-by-step explanation:

sup

Please help brainiest

Answers

the measure is d which is 65

Answer: The answer is C. 60

Step-by-step explanation:

you have to subtract the known angles to find the missing angles opposite angle. 180-60-70=130 then look at the line KM, it has to equal 180 so subtract the angle we just got to get the other angle 180-130=60

Choose the correct equation to represent the number line model.

Answers

Answer:

-5 + -4 = -9

Step-by-step explanation:

-5 + -4 = -9

Start at 0.

You will need to move 5 spaces to the left (Negative numbers move to the left while positives go right).

And -4. Move 4 spaces left again. There you land at -9.

The plus sign is just to combine -5 and -4 together.

Thus the answer is:

-5 + -4 is -9.

Here’s why the other equations aren’t correct.

The first equation says “5 + 4 = 9”.

To represent this, you would move 5 spaces to the right (because the number is posititve.)

Then combine 4. Which you move 4 spaces to the right again. This leaves you at 9 instead of -9.

The second equation says “-5 + -9 = -14”.

To represent this, you would move 5 spaces to the left.

Then move 9 spaces to the left again. Which leaves you at -14.

Your final destination should be -9. Not anywhere else.

Write an equation in slope intercept form for the line that passes through the point with the given slope. point: (4,2) and m=3

Answers

Answer:

3x/10 - y/10 = 1

Step-by-step explanation:

(y-2)/(x-4)=3

y-2=3x-12

y-3x= -12

3x/10-y/10=1

What is the solution to -1-7?
++
+
-10 -9 -8 -7 -6 -5 4 -3 -2 -1 0 1
+++
2 3 4 5 6 7 8 9 10
do do
O 6
O 8

Answers

Answer:

-8

Step-by-step explanation:

We can rewrite as - (1+7) = -8.

The telephone company offers two billing plans for local calls. Plan 1 charges ​$32 per month for unlimited calls and Plan 2 charges ​$17 per month plus ​$0.03 per call.

Answers

Answer:

The indifference point is 500 calls.

Step-by-step explanation:

Giving the following information:

Plan 1 charges ​$32 per month for unlimited calls and Plan 2 charges ​$17 per month plus ​$0.03 per call.

I assume we have to determine the indifference point between the two plans.

First, we need to structure the cost formulas:

Plan 1= 32

Plan 2= 17 + 0.03*x

x= call

Now, we need to equal both formulas:

32 = 17 + 0.03x

15= 0.03x

500= x

The indifference point is 500 calls.

Plan 1= $32

Plan 2= 17 + 0.03*500= $32

Answer:

Step-by-step explanation:

Point M is the midpoint of line AB. If M is at (6,-2) and A is at (-3,0), what are the coordinates of endpoint b?

Answers

Answer:

Step-by-step explanation:

(x + 6)/2 = -3

x + 6 = -6

x = -12

(y - 2)/2 = 0

y - 2 = 0

y = 2

(-12, 2)

What is the domain and range in this graph?

Answers

Step-by-step explanation:

The graph starts when the value of x is -1 and ends when it's value is 5 , So domain is [-1,5]

The highest value of the graph is 4 which is at x = -1 and the lowest value of the graph is 0 , which is at x = 5, So range is [0,4]

The domain is equal to all the input values (x-values)

The range is equal to all the output values (y-values)

In this problem,

The domain: [-1, 5]

The range: [0, 4]

7 students have 3 books each. Which helps you find the total number of books?

Answers

Answer:

21 Books in total

Step-by-step explanation:

If you just want the total number of books, here:

If each student has 3 books, and there are 7 students, we can create the equation: 7 * 3 :because this is showing that 7 people each have 3 books

7 * 3 = 21 so There are 21 books in total

Another we could write it is 3 + 3 + 3 + 3 + 3 + 3 + 3 because there are 7 students with 3 books each. Adding this up would equal 21.

Answer:

21 books in total

Step-by-step explanation:

If there is 7 students who have 3 books each, and want to find the total. The easiest way is multiply 7 with 3 to give you an answer of 21

Or draw a picture if it helps

Draw 7 stick figure and under it draw 3 books for them and count the books, still gives you 21

I think this is what you want

Solve to 3 s.f and in scientific notation (5.11×10^-4)+(4.33×10^-3)

Answers

Answer:

0.00484

Step-by-step explanation:

What is the value of y in the equation 5x + 2y = 20, when x = 0.3?

Answers

Answer:

9.25

Step-by-step explanation:

5(0.3) = 1.5

20-1.5=18.5

18.5÷2=9.25

Answer:

y = 9.25

Step-by-step explanation:

5x + 2y = 20

when x = 0.3 we have

5(0.3) + 2y = 20

1.5 + 2y = 20

Using the subtraction property subtract 1.5 from both sides of the equation

That's

1.5 - 1.5 + 2y = 20 - 1.5

2y = 18.5

Divide both sides by 2

[tex] \frac{2y}{2} = \frac{18.5}{2} [/tex]

We have the final answer as

y = 9.25

Hope this helps you

Find the distance between the two points rounding to the nearest tenth (if necessary)

(-3,3) and (-1,5)​

Answers

Answer:

The answer is

2.8 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3,3) and (-1,5)

The distance is

[tex]d = \sqrt{( { - 3 + 1})^{2} + ({3 - 5})^{2} } \\ = \sqrt{ ({ - 2})^{2} + ( { - 2})^{2} } \\ = \sqrt{4 + 4} \\ = \sqrt{8} \: \: \: \: \: \: \: \: \\ = 2 \sqrt{2} \: \: \: \: \: \: \\ = 2.82842[/tex]

We have the final answer as

2.8 units to the nearest tenth

Hope this helps you

The area of a square poster 26 inch. 2. Find the length of one side of the poster to the nearest tenth of an inch.

Answers

Answer:

6.5 inches

Step-by-step explanation:

Divide 26 by 4

26/4=6.5

The length of one side of the poster to the nearest tenth of an inch is 5.1 inches.

What is the area of a square?

The area of a square can be calculated as the square of the sides of a given figure.

The area of a square = side x side

Given; The area of a square poster 26 inch

We need to find the length of one side of the poster to the nearest tenth of an inch.

The area of a square would be S^2

26 = S^2

s = sqrt(26) = 5.099

Then rounded to nearest tenth = 5.1 inches

Hence, the length of one side of the poster to the nearest tenth of an inch is 5.1 inches.

Learn more about the area here;

https://brainly.com/question/1658516

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The team manager for a high school basketball team discarded a lower
outlier and calculated that the mean number of points scored per game
was 45 and the median was 48.
What is the likely effect if the analyst decides to include the lower outlier in the
calculations?

a) The median will remain about the same, but the mean will decrease.
b) The median will decrease, and the mean will increase.
c) The mean will stay about the same, but the median will decrease.
d) The median and mean will both stay about the same.

Answers

Answer:

The median will remain about the same, but the mean will decrease.

Step-by-step explanation:

Cus i said so

Answer:

The median will remain about the same, but the mean will decrease.

Edge 2020

Solve by elimination:
4x+9y=28
-4x-y=-28

Answers

Step-by-step explanation:

4x+9y=28

-4x-y=-28

8y=0

divide both side by 8

y=0

solve for X in equation 1

4(X)-9(0)=28

4x-0=28

4x =28

divide both side by 4

4x/4=28/4

X= 7

y=0,x=7

One less than the product of four and a number.
(Algebraic expression)

Answers

Answer:

1-4x

Step-by-step explanation:

i need helpppppppppppppppppppp

Answers

Answer:

6

Step-by-step explanation:

First person to answer gets brainliest Find the domain and range of the following absolute value functions f(x)= |-2x|+7

Answers

Answer:

domain: all real numbers

range : y ≥ 7

Step-by-step explanation:

The domain is the values that x can take

X can take any value so the domain is all real numbers

The range is the values that y can take

The smallest value  for the absolute value is 0

0+7 =7 so the smallest value for y is 7

range is y ≥ 7

Is it true that square roots can be compared and ordered by comparing and ordering the numbers underneath the radical symbol?

Answers

Answer:

Yes

Step-by-step explanation:

I had this same question on a quiz and it is correct!

The square root of a number is equal to another number that when squared is equal to the original number.

Now we want to see if Is it true that square roots can be compared and ordered by comparing and ordering the numbers underneath the radical symbol, and we will see that yes, this is true.

To see that this is true:

For example, if the A and B are two numbers larger than 0, such that:

A > B

Then:

√A > √B

For example let's use A = 9 and B = 4.

9 > 4

And obviously the roots are:

√9 > √4

3 > 2

So yes, we can compare and order square roots by comparing the numbers inside of it.

If you want to learn more, you can read:

https://brainly.com/question/1387049

Find R and theta with the coordinates (-3,7).

Answers

"R" is the distance from the origin to the point.

R = √(-3² + 7²)

R = √(9 + 49)

R =  √(58)

R = 7.62

tangent (Θ)  =  7 / -3

Θ  =  arctan (7 / -3)

Θ  =  113.2°  counterclockwise from the x-axis

SOlve plz!!! I need help!! I'm trying to get this done!! I'll DO ANything

Answers

Answer:

3

Step-by-step explanation:

How many times does -6 go into -18?

-6x3=-18

-6 goes into -18 3 times.

So:

b=3

Bam

Mixed nuts sell for $7.89 a pound. Leticia fills a bag and weighs it. The bag weighs 2.3 pounds. About how much will the bag of nuts cost? Estimate $7.89(2.3). The bag of nuts will cost about .

Answers

Answer:

the answer is $16

hope this helps

A bottle of hot sauce is 3/4 full. Leigh uses 2/9 of the contents of the hot sauce bottle for lunch. How much of a full bottle of hot sauce did Leigh use for lunch? A)26/36 B)5/36 C)1/6 D) 1/2 E) 1/3. PLEASE HELP.

Answers

Answer:

  C)  1/6

Step-by-step explanation:

2/9 of 3/4 is ...

  [tex]\dfrac{2}{9}\times\dfrac{3}{4}=\dfrac{2\cdot 3}{9\cdot 4}=\dfrac{6}{36}=\boxed{\dfrac{1}{6}}\qquad\text{matches C}[/tex]

Answer:

hlp

Step-by-step explanation:

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