Use the formula F=
9
5C+32 to find the temperature at which Celsius and Fahrenheit are equal. (Hint: Replace C with F and solve for the single variable.)
To find the temperature at which Celsius and Fahrenheit are equal, we can substitute F with C in the formula.
Let's replace F with C in the formula F=9/5C+32:
C = 9/5C + 32
Now, let's solve for C.
To do this, we need to get rid of the fractions by multiplying every term in the equation by the least common denominator (LCD) of 5:
5C = 9C + 160
Next, let's subtract 9C from both sides of the equation:
5C - 9C = 160
Simplifying the equation:
-4C = 160
Now, let's solve for C by dividing both sides of the equation by -4:
C = 160 / -4
C = -40
Therefore, the temperature at which Celsius and Fahrenheit are equal is -40°C.
To find the temperature at which Celsius and Fahrenheit are equal, we need to solve the equation F = (9/5)C + 32 where F is Fahrenheit and C is Celsius.
Since we want to find the temperature at which Celsius and Fahrenheit are equal, we can replace C with F in the equation and solve for F.
The equation becomes F = (9/5)F + 32.
To simplify this equation, we first need to combine like terms. Subtracting (9/5)F from both sides gives us:
F - (9/5)F = 32.
Doing the subtraction gives us:
(5/5)F - (9/5)F = 32,
which simplifies to:
-(4/5)F = 32.
Next, we need to isolate F by multiplying both sides of the equation by -5/4:
F = (32) * (-5/4).
Multiplying gives us:
F = -160/4.
Simplifying further, we get:
F = -40.
Therefore, the temperature at which Celsius and Fahrenheit are equal is -40 degrees.
To find the temperature at which Celsius and Fahrenheit are equal, we need to solve the equation F = 9/5C + 32.
The formula indicates that Fahrenheit is equal to 9/5 times Celsius, plus 32.
Now, we are looking for the temperature at which Celsius and Fahrenheit are equal, meaning F = C.
To find this temperature, we can replace F in the equation with C and solve for the single variable.
The equation becomes: C = 9/5C + 32.
Next, we need to simplify the equation by multiplying through by 5 to eliminate the fraction:
5C = 9C + 160.
Now, we can rearrange the equation by subtracting 9C from both sides:
-4C = 160.
Finally, we can solve for C by dividing both sides of the equation by -4:
C = 160 / -4 = -40.
Therefore, the temperature at which Celsius and Fahrenheit are equal is -40 degrees.