Respuesta :

the answer is 8/11, hope that helps.
aachen

Answer:

[tex]\frac{11}{8}[/tex] [tex]\text{gallons}[/tex]

Step-by-step explanation:

Given: In [tex]1\frac{1}{2}[/tex] hour, a lawnmower uses [tex]2\frac{1}{16}[/tex] gallon of fuel.

To Find: How many gallons of fuel did the lawnmower use each hour.

Solution:

Number of hour lawnmower used [tex]=1\frac{1}{2}[/tex] [tex]\text{hour}[/tex]

                                                         [tex]\frac{3}{2}[/tex] [tex]\text{hour}[/tex]

Fuel consumed by lawnmower   [tex]=2\frac{1}{16}[/tex] [tex]\text{gallon}[/tex]

                                                      [tex]\frac{33}{16}[/tex] [tex]\text{gallon}[/tex]

Fuel used by lawnmower each hour [tex]=\frac{\text{Total fuel used}}{\text{Total time taken}}[/tex]

                                                            [tex]=\frac{\frac{33}{16}}{\frac{3}{2}}[/tex]

                                                            [tex]=\frac{11}{8}[/tex] [tex]\text{gallon}[/tex]

Hence the fuel consumed by lawnmower each hour is [tex]=\frac{11}{8}[/tex] [tex]\text{gallon}[/tex]

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