contestada

The label on the car's antifreeze container claims to protect the car between −40°C and 140°C. To covert Celsius temperature to Fahrenheit temperature, the formula is C=5/9(F-32). Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.

Respuesta :

luisejr77

Answer:

[tex]-40<x<284[/tex]

Step-by-step explanation:

We must convert the given temperatures from degrees Celsius to degrees Fahrenheit

The formula is:

[tex]C=\frac{5}{9}(F-32)[/tex]

Where C is the temperature in degrees Celsius and F is the temperature in degrees Fahrenheit

Then we must replace the temperature in degrees Celsius and solve the equation for F

[tex]C*\frac{9}{5}=(F-32)[/tex]

[tex]F=C*\frac{9}{5}+32[/tex]

[tex]F=(-40)*\frac{9}{5}+32[/tex]

[tex]F=-40\ \°F[/tex]

[tex]F=(140)*\frac{9}{5}+32[/tex]

[tex]F=284\ \°F[/tex]

The Fahrenheit temperature range in which the antifreeze protects the car is:

[tex]-40<x<284[/tex]

Otras preguntas