The formula to convert degrees Fahrenheit to degrees Celsius is: 'C = (5/9) ('F -32). The formula to convert degrees Celsius to degrees Fahrenheit is: 'F = 1.8 ('C) + 32. Using any of these formulas, determine, for what temperature the value of it in degrees Celsius is represented by the same number as its value in degrees Fahrenheit. Show your work. HINT: use either of those two equations, use x for 'C and use x for 'F, and solve it for x. The solution will be the answer to the problem (because the temperature is the same, and its numerical value in degrees Celsius in this case is the same as its number value in degrees Fahrenheit). *

Answers

Answer 1

Step-by-step explanation:

5/9 × (x - 32) = 1.8 × x + 32 = 9/5 × x + 32

5×(x - 32) = 9×9/5 × x + 32×9

5×5×(x - 32) = 9×9×x + 32×9×5

25x - 32×25 = 81x + 32×45

32×(-25 - 45) = 56x

4×(-70) = 7x

x = 4×(-10) = -40

-40° is the same temperature in Celsius and in Fahrenheit.


Related Questions

A group of fitness club members lose combined total of 28 kilograms in 1 week there are approximately 2.2 pounds in 1 kilogram assuming the weight loss happened at a constant rate about how many pounds did the group lose each day?

Answers

Answer:

8.8

Step-by-step explanation:

First turn 28 kilograms into pounds by multiplying 2.2 by 28. You end up with 61.6 pounds lost in one week. Next you take 61.6 divided by 7 to know how many pounds were lost in each day. You should end up with about 8.8 pounds.

Hope This Helps:)

Answer: 8.8

Step-by-step explanation:

A shoe store donated a percent of every sale to hospitals. The total sales were $9,950 so the store donated $796. What percent of 9,950 was donated to hospitals?

Answers

Answer:

8%

Step-by-step explanation:

when solving with percentages, you can “cross multiply”,

we know the fraction would be set up this way:

[tex]\frac{769}{9950}*\frac{x}{100}[/tex]

*there would be an 100 bc a percentage is out of 100*

Now, you have to multiply 769 by 100

[tex]769*100=\\ 76900[/tex]

Then divide by 9950 to get “x”

[tex]79600/9950=\\ 8[/tex]

hope this helps!

Please help, we're supposed to be writing an equation from the table here. But I don't know.​

Answers

Answer:

y = 3x - 3

Step-by-step explanation:

This more of a guess than a reality of method. You have to try and guess which number when multiplied by 4 will give 9. It won't happen directly.

The best clue is provide by (0,-3).

So let's start with a general linear equation.

y = mx + b

If you put in 0 for x then mx disappears and you are are left with y = - 3

That means that b = - 3

So now you have

y = mx - 3  

Now try another one

y = mx - 3

y = 9

x = 4

9 = mx - 3

9 = 4m - 3            Add 3 to both sides

9+3 = 4m-3+3      Combine

12 = 4m                Divide by 4

12/4 = 4m/4        

3 = m

So the equation you want so far, is y = 3x - 3               Does it work for anything else?

Try - 3 , - 12 . If it works for this, it should work for anything.

y = 3*-3 - 3

y = -9 -3

y = - 12

and it does work, so that's your answer.

After the first four games of a professional football season, three players scored a total of 80 touchdowns.

Duke Johnson scored 14 of the touchdowns.
Josh McCown scored 40% of the touchdowns.
Andre Roberts scored the remaining touchdowns.

How many touchdowns did Andre Roberts score?
A.20 touchdowns
B.28 touchdowns
C.32 touchdowns
D.52 touchdowns

Answers

Answer:

b

Step-by-step explanation:

Andre Roberts scored a total of 34 touchdowns

An equation is an expression that shows the relationship between two or more variables and numbers.

The total touchdowns is 80.

Duke Johnson scored 14 of the touchdowns.

Josh McCown scored 40% of the touchdowns. = 40% of 80 = 0.4 * 80 = 32

Let x represent the number of touchdowns scored by Andre Roberts, hence:

x + 14 + 32 = 80

x + 46 = 80

x = 34

Andre Roberts scored a total of 34 touchdowns

Find more about equation at: https://brainly.com/question/2972832

6) The original price of a pair of shorts is $40.
They are on sale 30% off. What is the selling
price of the shorts?

Answers

Answer:

$28

Step-by-step explanation:

30% = 30/100 = 0.3

40 x 0.3 = 12

40 - 12 = $28

Graph x + 3y = 6.

please help​

Answers

this is the photo of a answer

Answer:

  see attached

Step-by-step explanation:

Both coefficients are divisors of the constant, so the intercepts are integer values. This makes it easy to graph the line using the x- and y-intercepts.

x-intercept

Set y=0 and you get ...

  x = 6

y-intercept

Set x=0 and you have ...

  3y = 6

  y = 2 . . . . divide by 3

__

The intercepts (6, 0) and (0, 2) are points on the line. Plot these points and draw the line through them.

Hanna has 88cm of ribbon and cuts it in the ratio 5 : 6. How much longer is the longest piece and the shortest piece?​

Answers

Answer:

8 cm

Step-by-step explanation:

sum the parts of the ratio, 5 + 6 = 11 parts

Divide the length of ribbon by 11 to find the value of one part of the ratio

88 cm ÷ 11 = 8 cm ← value of 1 part of the ratio , then

5 parts = 5 × 8 cm = 40 cm

6 parts = 6 × 8 cm = 48 cm

Then difference between lengths is 48 cm - 40 cm = 8 cm

longer piece is 8 cm longer than shortest piece.

Evaluate to function for the given value of X

Answers

[tex]\text{Given that,}\\\\\\f(x) = 9x^3 -x^2 +2 \\\\f(2) = 9(2^3) - 2^2 +2\\\\~~~~~~~ = 9(8) -4 +2 \\\\~~~~~~~= 72 -2 \\\\~~~~~~~=70[/tex]

Which is factorial using integers?
a) y+25
b) y^2-25
c) y^2+25
d) y-10
e) y^2+10

Answers

Answer:

i feel like its A or D i could be wrong but i believe its one of the two

Four runners formed a relay team at
Jan’s high school. The team completed
the relay in 3.86 minutes. Each runner
ran exactly the same time. What was
each runner’s time?

Answers

0.965
3.86/4 = 0.965

Please find the equation for this ASAP

Answers

Answer:

y=-2x-3

Step-by-step explanation:

the slope is 2/1 going down and the y intercept is -3

The perimeter of a triangle is 56. The side lengths are x + 4, 3x + 7, and x + 9. What is the value of x?

Answers

Answer:x = 7.2Step-by-step explanation:Perimeter: Side 1 + Side 2 + Side 3=> x + 4 + 3x + 7 + x + 9 = 56=> 5x + 20 = 56=> 5x = 56 - 20=> 5x = 36=> x = 7.2Conclusion:

Therefore, the value of x is 7.2.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Kelly has a scarf that is 22 inches long. She folds the scarf in half
three times. How long is the scarf now?

Answers

Answer:

2.75 inches or 2 3/4 inches

Step-by-step explanation:

22 / 2 = 11

11 / 2 = 5.5

5.5 / 2 = 2.75

I WILL MARK BRAINLIEST IF SOMEONE ACTUALLY KNOWS THIS ITS NOT 72

Answers

Answer:

D   Trust Me

Step-by-step explanation:

Answer:

I is D

Step-by-step explanation:

I just counted by to on all of the squares and got 52

K2. Calculate the total surface area of cuboids with the following dimensions (b) Length = 1.6 m, breadth = 80 cm, height = 120 cm​

Answers

Answer:

15360m3

Step-by-step explanation:

a=l*w*h

1.6m*80m*120m

=15360m3

Please help! I need answers

Answers

Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours

Represent the time the Hill family and the Moore family use the sprinkler with H and M.

So, the total time is:

[tex]H + M = 60[/tex]

And the rate is:

[tex]25H + 20M = 1325[/tex]

Make H the subject in [tex]H + M = 60[/tex]

[tex]H= 60 - M[/tex]

Substitute 60 - M for H in [tex]25H + 20M = 1325[/tex]

[tex]25(60 - M) + 20M = 1325[/tex]

Open brackets

[tex]1500 - 25M + 20M = 1325[/tex]

Collect like terms

[tex]- 25M + 20M = 1325 - 1500[/tex]

[tex]- 5M = -175[/tex]

Divide both sides by -5

[tex]M = 35[/tex]

Recall that:

[tex]H= 60 - M[/tex]

So, we have:

[tex]H = 60 - 35[/tex]

[tex]H = 25[/tex]

Hence, Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours

Read more about system of equations at:

https://brainly.com/question/14323743

if the interest rate is lower than the inflation rate, what happens for those who put money in a savings account.

Answers

Answer: Savers Lose

Step-by-step explanation: I had this question

What is k(-8) when given the function
k(x) = x +5 – 2x2?

Answers

By the way, the typed out question is not proper. Be sure to be clear on signs, like absolute value.

Absolute value of -8+5 is 3. This is because -3 is turned positive due to | |

(-8)^2 = 64
Multiply 64*2, equal to 128

Then solve. — 64-128= -64

-64 is the answer

A certain amount of money is divided among Rio, Kim and Leo in the ratio 5:7:3. If Leo gets Php 24,000.00, how much is the total amount?​

Answers

Answer:

120,000

Step-by-step explanation:

Let's say Rio gets 5x, Kim gets 7x, and Leo gets 3x. In the ratio 5:7:3:1, x = 1

5x + 7x + 3x = total = 15x

3x = 24000

divide both sides by 3 to get x

x = 8000

15x = 8000*15 = 120000

Brainiest if good answer!
No links!!! I won’t view them

Given the system of linear equations:
{x+6y=6
y=1/3 x−2

Part A: Graph the system of linear equations.
Part B: Use the graph created in Part A to determine the solution to the system.
Part C: Algebraically verify the solution from a Part B

Answers

Answer:

QUESTION 1

The image attached shows the graph of the given system of equations. There you would notice that the solution is (-1,-5), which is the interception point.

To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up

Then, we use this value to find the other one

Therefore, the solution is (-1,-5), which is the same showed graphically.

QUESTION 2.

Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).

To verify the solution algebraically, we must multiply the second equation by -6

Then, we use this value to find the other one

Therefore, the solution is (6,0), the same showed graphically.

Step-by-step explanation:

If you don't get it

question 1

solution is (-1,-5)

question 2

solution is (6,0),

The solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The system of linear equations:

x+6y=6

y=1/3 x−2

Part A: Graph is shown in the picture.

Part B: The intersection point is (6, 0)

x = 6

y =0

Part C: By substitution method.

[tex]\rm x+6\left(\dfrac{x}{3}-2\right)=6[/tex]

x  = 6

y = 0

Thus, the solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Find the value of X and prove the following​

Answers

The value of the variable x can be determined using the circle theorem to

determine the angle formed by x.

The correct responses are;

(1) x = 30°(2) x = 100°(3) x = 60°

Reasons:

(1) From circle theorem, we have;

Equal chords subtends equal arcs and vice versaEqual chords subtend equal angles at the center of a circle

Therefore;

Angle subtended by [tex]\displaystyle \widehat {AB}[/tex] at center = Angle subtended by [tex]\widehat {BC}[/tex] at the center;

Angle at the center = 2 × Angle at the circumference

Therefore;

Angle subtended by [tex]\displaystyle \widehat {AB}[/tex] at the circumference = Angle subtended by [tex]\mathbf{\widehat {BC}}[/tex] at the circumference

Which gives;

x = 30°

(2) [tex]\displaystyle \widehat {AB} = \mathbf{\widehat {CD}}[/tex] given

Angle subtended by arc [tex]\widehat {CD}[/tex] at the center = x

Equal arcs subtend equal angles at the center of a circle.

Therefore;

Angle subtended by arc [tex]\mathbf{\widehat {AB}}[/tex] at the center = x

Angle at center = 2 × angle at circumference

Therefore;

x = 2 × 50° = 100°

x = 100°

(3) [tex]\displaystyle \widehat {AC} = \mathbf{ 3 \times \widehat {AB}}[/tex] given

By definition, we have;

Angle subtended by [tex]\widehat {AC}[/tex] at the center = 3 × Angle subtended by [tex]\widehat {AB}[/tex] at the center

According to circle theorem, we have;

Angle at the center = 2 × Angle at the circumference

Let y represent the angle subtended at the circumference by [tex]\widehat {AB}[/tex], we have;

y = 20°

[tex]\widehat {AB}[/tex] = 2·y

[tex]\widehat {AC}[/tex] = 3 × [tex]\widehat {AB}[/tex] = 3 × 2·y = 6·y

Therefore;

[tex]\widehat {AC}[/tex] = 6 × 20° = 120°

[tex]\widehat {AC}[/tex] = 120°

[tex]\widehat {AC}[/tex] = 2·x

Therefore;

2·x = 120°

[tex]\displaystyle x = \frac{120^{\circ}}{2} = \mathbf{ 60^{\circ}}[/tex]

x = 60°

Learn more circle theorems here:

https://brainly.com/question/16879446

5. What is 75% of 50?

Answers

Answer:

37.5

Step-by-step explanation:

multiply 50 by .75

same as

50/4=12.5+25=37.5

What are ratio tables? Can you create 3 different ways to create a ratio table using your own exampl e? pls ik im asking alot of theese i dont wanna fail

Answers

Answer:

A ratio table shows pairs of corresponding values, with an equivalent ratio between each pair.

Step-by-step explanation:

i have linked 1 picture of a ratio table example

hope this helped

Can y’all help me plz.

Answers

Answer:

No. two inputs cannot have the same output

Step-by-step explanation:

This is not a function because -2 and 2 have the same output which is 4

HOPE THIS HELPS :)

HELP ME PLEASEEE!!





48 degrees 96 degrees x =

Answers

Answer:

144°

96+48(further away angles)

Answer:

x = 144°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , then

x = 48° + 96° = 144°

Determine the correct value of 3x + 2 when x= 5

Answers

Step-by-step explanation:

3x+2

3 x 5=15

15 + 2 = 17

so your answer is 17

pemdas

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

what is the domain of the function

Answers

Answer:

  (a)  -∞ < x < ∞

Step-by-step explanation:

Unlike the square root function, the cube root function is defined for all values of its argument. Here, x can take on any value and the function will be defined for that value.

  -∞ < x < ∞

If the sum of the roots of the equation 3x² + kx + 1 = 0 is 7. then what the value of k​

Answers

Answer:

The value of k is -21

Step-by-step explanation:

ax² + bx + c = 0

Sum of the roots = -b/a

3x² + kx + 1 = 0

= sum of the roots = -k/3

-k/3 = 7

Now, Multiply both side by (-3) we get,

(-3)-k/3 = 7(-3)

k = -21

Thus, The value of k is -21

-TheUnknownScientist 72

solve for x
2x +2 <14

Answers

2x + 2 < 14

2x < 12

x < 6

Hope this helps!
Brainliest is much appreciated!

1/9 (2m - 16) = 1/3 (2m + 4)

Please follow the steps in the picture!

Answers

Answer:

1/9 (2m - 16) = 1/3 (2m + 4)

expand

2/9m- 16/9 =2/3m +4/3

move m to other side

- 16/9 =2/3m (-2/9m) +4/3

simplify

- 16/9 =(6-2)/9m +4/3

- 16/9 =4/9m +4/3

move 4/3 to other side

- 16/9 -4/3 =4/9m

- 16/9 -12/9 =4/9m

-28/9 = 4/9m

multiply by 9

4m= -28

m= -7

Other Questions
Which of the following statements explains the significance of the Battle of Midway in 1942? what is the root meaning of dysfunction as discussed in lecture and the textbook? The Roman philosophy of stoicism promoted mercy. self-control. pity. anger. How to Handle BullyingYou notice a bunch of kids from your class repeatedly making rude and mean comments on another classmate's pictures on social media. What could you do to handle the situation? i need help and fast An auto-parts store offers a fuel additive that claims to increase a vehicles gas mileage. The additive is poured into a vehicles gasoline tank after the tank is filled. To measure the claim, two methods to collect data are proposed.Method A: 10 similar police cars owned by a city are selected. After the cars are filled with a fresh tank of gasoline, researchers randomly select 10 of the cars to receive the additive, while the other 10 do not receive the additive. The gas mileage for each car is recorded in miles per gallon.Method B: 20 customers at an auto-parts store receive free coupons for the additive and are asked to use it with their next fresh tank of gasoline. The customers then report their gas mileage with the fuel additive.Which method describes an experiment?Method B is an experiment because every car receives the additive.Method A is an experiment because the additive is used with a new tank of gasoline.Both methods are experiments because the additive is used in a new tank of gas in both methods.Method A is an experiment because random assignment determines which cars receive the additive and which cars do not. You are the new manager at Taco bell. A customer told you that they had to wait 13 minutes for their food.You approach your staff and they assure you this was unusual, and the customer was just being dramatic. To verify, you decide to conduct a study on average wait time for food and find an approximately normal distribution of results. The mean wait time was 7 minutes The standard deviation was 2 minutes.Label the bell- shaped curve. (2 pts)On an average day you serve 300 people, how many people would have to wait longer than 13 minutes? (1 pt)Was the customers wait time of 13 minutes unusual? Justify your answer with a complete sentence. (1 pt) Question 21 ptsDirections: Include the inequality symbol and solution. If you need less than or equalto, use "".A taxi charges a flat rate of $7.50 plus an additional $0.35 per mile. If Aliana has at most$25 to spend on the cab ride, how far could she travel?She could travel What has more particles: a mole of hydrogen or a mole of uranium? The Roman god Neptune and the Greek god Poseidon BOTH were considered to be the god ofA)war.B)time.C)the sea.D)the underworld. what is 9x-4y if x= -7 and y= -6 Which of the following statements about the nitrogen cycle is true?. Which part of the metamorphosis contributes the most tension toward the climax. Which sentence describes what it means for ideas to have cohesion?O They are related and stick together.O They are from sources that are up to date.O They make sense logically.OO They are supported by evidence. I need help asap pls what is the main function of integrins? PLS HELP ME I HAVE A MIDTERM TOMORROW!!!! Can U solve it plz explain fully ! Which forest biome has year-roundprecipitation in many forms, is verydiverse with deciduous trees,flowering trees, and shrubs, andabundant growth in spring?A. Temperate forestB. Coniferous forestC. Tropical rainforestD. Tropical dry forest There is a line that includes the point (8,3) and has a slope of 1. What is its equation in slope-intercept form? Which energy technology is more sustainable long term?