[02.06] The label on the car's antifreeze container claims to protect the car between −30°C and 130°C. To convert Celsius temperature to Fahrenheit temperature, the formula is C = 5 over 9 (F − 32). Write and solve the inequality to determine the Fahrenheit temperature range at which this antifreeze protects the car.

Question

15-11-2018
Mathematics

contestada

[02.06] The label on the car's antifreeze container claims to protect the car between −30°C and 130°C. To convert Celsius temperature to Fahrenheit temperature, the formula is C = 5 over 9 (F − 32). Write and solve the inequality to determine the Fahrenheit temperature range at which this antifreeze protects the car.

Respuesta :

Otras preguntas

A written statement of a position's hours, duties and responsibilities is known as: A. a job specification. B. a job description. C. a job coordination. D. a jo

The immunoproteosome functions to drease presentation of peptides on MHA-II molecules. A) True B) False

If blood becomes acidic, _____ ions move from blood capillaries to kidney tubules to be excreted and _____ ions are reabsorbed.

A value of ____________________ or ____________________ indicates a perfect (or the strongest) relationship between the variable.a) 1 or -1b) 0.5 or -0.5c) 2 or

a man having a box on his head, climbs up a slope and another man having an identical box walks the same distance on a levelled road. who does more work against

As water ______, orbital motion will eventually __________ the sea bottom, causing ______________ in the __________

Your client is performing a prone hamstring curl on a flat bench. What is the action of the hip? a) hip flexion b) hip extension c) hip hyperextension d) none o

What is a utility Microsoft created to let IT support specialists, systems administrators, and other users look at running processes?a. UIDb. Process Explorerc.

In the 1920s, Americans holding traditional values pushed back against changing moral standards. What was the name of the wars?

Mr. Sharma was determined to nurture a sense of responsibility and compassion in his students. Which definition is correct for the word nurture as it is used in

OrethaWilkison OrethaWilkison · Answer 1 · 2018-11-26T08:53:19+01:00

Answer:

It is given that the label on the car's antifreeze containers claims to protect the car between [tex]-30^{\circ} C[/tex] and [tex]130^{\circ} C[/tex].

Convert Celsius temperature to Fahrenheit temperature;

Using the formula:

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

Multiply both sides by [tex]\frac{9}{5}[/tex] we get;

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

Simplify:

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

Add 32 to both sides of an equation:

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

Simplify:

[tex]\frac{9}{5}C +32= F[/tex] ......[1]

Substitute the value [tex]-30^{\circ} C[/tex] in [1];

[tex]F = \frac{9}{5} \cdot (-30^{\circ} ) +32[/tex]

or

[tex]F= 9 \cdot (-6)+32 =-54+32 = -22 ^{\circ}[/tex]

Similarly, Substitute the value [tex]130^{\circ} C[/tex] in [1] we have;

[tex]F = \frac{9}{5} \cdot (130^{\circ} ) +32[/tex]

or

[tex]F= 9 \cdot (26)+32 =234+32 = 266 ^{\circ}[/tex]

then, we have [tex]-22^{\circ}<F<266^{\circ}[/tex]

Therefore, the inequality [tex]-30<\frac{5}{9}(F-32) < 130[/tex] that determine the Fahrenheit temperature range at which this antifreeze protects the car is; [tex]-22<F<266[/tex]