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olga nikolaevna [1]
3 years ago
15

If your car can drive 433 miles on a full tank of gas, find the miles per gallon if your gas tank holds 17.2 gallons? How much d

oes it cost to fill your tank if gas is $2.85 per gallon?
Mathematics
1 answer:
just olya [345]3 years ago
6 0

Answer:

-25.17 miles per gallon.

-It costs $49.02 to fill your tank.

Step-by-step explanation:

-To find the miles per gallon, you can use a rule of three:

17.2 gallons →  433 miles

    1 gallon   →        x

x=(1*433)/17.2= 25.17

If your gas tank holds 17.2 gallons, you car can drive 25.17 miles per gallon.

-To find the cost to fill your tank, you have to multiply the price per gallon for the amount of gallons that the tank can hold:

$2.85*17.2=$49.02

It costs $49.02 to fill your tank.

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Answer:

F^-1 (x) = 3x/2+5/4

Step-by-step explanation:

First, replace f(x) with y

Replace every x with a y and replace every y with an x .

Solve the equation from Step 2 for y  

Replace y with f−1(x) f − 1 ( x )

Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

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