Ashlyn H.

asked • 02/15/21

Inequality word problem

Fahrenheit and centigrade temperatures are related by the formula C=5(F-32)/9, where C and F represent the temperatures in C degrees and F degrees, respectively. if the directions for chemical experiment require that the temperature of a certain liquid be kept between 25 degrees Celcius and 30 degrees Celcius, what range of temperatures in Fahrenheit will satisfy the temperature restrictions of the liquid?

Ashlyn H.

25≤5(F-32)/9≤30 5(F-32)/9 ≥ 25 F≥77 5(F-32)/9 ≤ 30 F≤86 The answer is: Between 77°F and 86°F Another optional answer: [77°F, 86°F]
Report

02/15/21

1 Expert Answer

By:

Raymond B. answered • 02/15/21

Tutor
5 (2)

Math, microeconomics or criminal justice

See tutors like this
See tutors like this

(C,F) = (0,32) (100,212) the equation through those two points for freezing and boiling is


C=5(F-32)/9


or 9C = 5F-160

5F = 9C +160

F = 9C/5 + 32

F= (9/5)(25) + 32 = 45+32 = 77 degrees Fahrenheit

F= (9/5)(30) + 32 = 54+32 = 86 degrees Fahrenheit


77<F<86 is equivalent to 25<C<30





Upvote • 0 Downvote
More
Report

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.