In countries like USA and Canada, temperature is measured in Fah

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61. Yamini and Fatima, two students of Class IX of a school, together contributed Rs 100 towards the Prime Minister’s Relief Fund to help the earthquake victims. Write a linear equation which satisfies this data. (You may take their contributions as Rs x and Rs y.) Draw the graph of the same.
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 Multiple Choice QuestionsShort Answer Type

62. 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:

straight F equals open parentheses 9 over 5 close parentheses straight C plus 32

Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for y-axis.
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63. 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:

straight F equals open parentheses 9 over 5 close parentheses straight C plus 32

If the temperature is 30°C, what is the temperature in Fahrenheit?
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64. 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:

straight F equals open parentheses 9 over 5 close parentheses straight C plus 32

If the temperature is 95°F, what is the temperature in Celsius?
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65. 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:

straight F equals open parentheses 9 over 5 close parentheses straight C plus 32

If the temperature is 95°F, what is the temperature in Celsius?


When  C = 0, Then straight F equals open parentheses 9 over 5 close parentheses 0 plus 32 equals 32
therefore     Required temperature = 320F

When   F = 0,  then

space space space space space space space space space space space space space space space straight F equals open parentheses fraction numerator cross times 9 over denominator 5 end fraction close parentheses straight C plus 32
rightwards double arrow space space space space space space space space space space space straight O space equals open parentheses 9 over 5 close parentheses straight C plus 32
rightwards double arrow space space space space space space space space space space open parentheses 9 over 5 close parentheses straight C equals negative 32

rightwards double arrow space space space space space space space space space straight C equals negative fraction numerator 32 cross times 5 over denominator 9 end fraction equals negative 160 over 9
therefore    Required temperature = negative 160 over 9 degree straight C
                 

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66. 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:

straight F equals open parentheses 9 over 5 close parentheses straight C plus 32

Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it.
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67. Draw the graph of the equation 3x + y = 8. Use it to find some solutions of the equation and check from the graph whether x = 2, y = 2 is a solution.
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68. Force applied on a body is directly proportional to the acceleration produced in the body. Write an equation to express the situation and plot the graph of the equation taking constant to be 5 units.
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69. Shade the triangle formed by the graphs of 2x – y = 4, x + y = 2 and the y-axis. Write the coordinates of vertices of the triangle.
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70. Give the equations of two lines passing through (1, 2). How many more such lines are there and why? 
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