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In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius:F=(9/5)C+32 (i) Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for y-axis.(ii) If the temperature is 30°C, what is the temperature in Fahrenheit?(iii) If the temperature is 95°F, what is the temperature in Celsius?(iv) If the temperature is 0°C, what is the temperature in Fahrenheit and if the temperature is 0°F, what is the temperature in Celsius?(v) Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it.(CBSE 2011,2019)
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Most Upvoted Answer
In countries like USA and Canada, temperature is measured in Fahrenhei...
(i) According to the question,
F = (9/5)C + 32
Solving the equation,
We get,
When C = 0, F = 32
When C = -10 , F = 14
The points to be plotted are (0, 32), (-10, 14)
(ii) When C = 30,
F = (9/5)C + 32
F = (9 × 30)/5 + 32
= (9 × 6) + 32
= 54 + 32
= 86oF
(iii) When F = 95,
95 = (9/5)C +32
(9/5)C = 95 - 32
(9/5)C = 63
C = (63 × 5)/9
=35oC
(iv) When C = 0,
F = (9/5)C +32
F = (9 × 0)/5 +32
=0 + 32
= 32oF
When F = 0,
0 = (9/5)C + 32
(9/5)C = 0 - 32
(9/5)C = -32
C = (-32 × 5)/9
= -17.7777
= -17.8oC
(v) When F = C,
C = (9/5)C+32
C – (9/5)C = 32
(5-9)C/5 =32
(-4/5)C = 32
(-4/5)C = (-32×5)/4
= – 40oC
Hence, -40o is the temperature which is numerically the same in both Fahrenheit and Celsius.
Community Answer
In countries like USA and Canada, temperature is measured in Fahrenhei...
Graph of the linear equation:

To draw the graph of the linear equation F = (9/5)C + 32, we can create a table of values for Celsius and Fahrenheit and plot the points on a graph.

Celsius (C) | Fahrenheit (F)
------------|---------------
-40 | -40
-20 | -4
0 | 32
20 | 68
40 | 104

Now, let's plot these points on a graph with Celsius on the x-axis and Fahrenheit on the y-axis. Connect the points to form a straight line.

Temperature in Fahrenheit when the temperature is 30°C:

To find the temperature in Fahrenheit when the temperature is 30°C, we can substitute the value of C = 30 in the equation F = (9/5)C + 32.

F = (9/5) * 30 + 32
F = 54 + 32
F = 86°F

Therefore, when the temperature is 30°C, it is 86°F in Fahrenheit.

Temperature in Celsius when the temperature is 95°F:

To find the temperature in Celsius when the temperature is 95°F, we can rearrange the equation F = (9/5)C + 32 to solve for C.

F = (9/5)C + 32
95 = (9/5)C + 32
95 - 32 = (9/5)C
63 = (9/5)C

Now, we can solve for C:

C = (5/9) * 63
C = 35°C

Therefore, when the temperature is 95°F, it is 35°C in Celsius.

Temperature in Fahrenheit when the temperature is 0°C:

To find the temperature in Fahrenheit when the temperature is 0°C, we can substitute the value of C = 0 in the equation F = (9/5)C + 32.

F = (9/5) * 0 + 32
F = 0 + 32
F = 32°F

Therefore, when the temperature is 0°C, it is 32°F in Fahrenheit.

Temperature in Celsius when the temperature is 0°F:

To find the temperature in Celsius when the temperature is 0°F, we can rearrange the equation F = (9/5)C + 32 to solve for C.

0 = (9/5)C + 32
-32 = (9/5)C
-32 * (5/9) = C
-17.78 = C

Therefore, when the temperature is 0°F, it is -17.78°C in Celsius.

Temperature that is numerically the same in both Fahrenheit and Celsius:

To find a temperature that is numerically the same in both Fahrenheit and Celsius, we can set the equations F = (9/5)C + 32 and F = C equal to each other.

(9/5)C + 32 = C
(9/5)C - C = -32
(4/5)C = -32
C = -32 * (5/4)
C = -40°C

Therefore, -40
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In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius:F=(9/5)C+32 (i) Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for y-axis.(ii) If the temperature is 30°C, what is the temperature in Fahrenheit?(iii) If the temperature is 95°F, what is the temperature in Celsius?(iv) If the temperature is 0°C, what is the temperature in Fahrenheit and if the temperature is 0°F, what is the temperature in Celsius?(v) Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it.(CBSE 2011,2019) Related: Class 9 Math: Sample Question Paper- 9 (With Solutions)?
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In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius:F=(9/5)C+32 (i) Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for y-axis.(ii) If the temperature is 30°C, what is the temperature in Fahrenheit?(iii) If the temperature is 95°F, what is the temperature in Celsius?(iv) If the temperature is 0°C, what is the temperature in Fahrenheit and if the temperature is 0°F, what is the temperature in Celsius?(v) Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it.(CBSE 2011,2019) Related: Class 9 Math: Sample Question Paper- 9 (With Solutions)? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius:F=(9/5)C+32 (i) Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for y-axis.(ii) If the temperature is 30°C, what is the temperature in Fahrenheit?(iii) If the temperature is 95°F, what is the temperature in Celsius?(iv) If the temperature is 0°C, what is the temperature in Fahrenheit and if the temperature is 0°F, what is the temperature in Celsius?(v) Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it.(CBSE 2011,2019) Related: Class 9 Math: Sample Question Paper- 9 (With Solutions)? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius:F=(9/5)C+32 (i) Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for y-axis.(ii) If the temperature is 30°C, what is the temperature in Fahrenheit?(iii) If the temperature is 95°F, what is the temperature in Celsius?(iv) If the temperature is 0°C, what is the temperature in Fahrenheit and if the temperature is 0°F, what is the temperature in Celsius?(v) Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it.(CBSE 2011,2019) Related: Class 9 Math: Sample Question Paper- 9 (With Solutions)?.
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