Respuesta :
Answer:
[tex]\frac{1}{12} [/tex] inches per hour .
Step-by-step explanation:
Between 10 pm and 7:45 am there are 9 hours and 45 minutes i.e. [tex]9+\frac{45}{60} =\frac{39}{4}[/tex] hours
The water level in a swimming pool decreased by amount in [tex]\frac{39}{4}[/tex] hours = [tex]\frac{13}{16}[/tex] inches
The water level in a swimming pool decreased by amount in 1 hour:
= [tex]\frac{\frac{13}{16}}{\frac{39}{4}}[/tex] inches
= [tex]\frac{13}{16} \times \frac{4}{39}[/tex] inches
= [tex]\frac{1}{4} \times \frac{1}{3}[/tex] inches
= [tex]\frac{1}{12} [/tex] inches
Hence it drop by [tex]\frac{1}{12} [/tex] inches each hour .
How much did it drop each hour is 0.08333 inches/hour
First step is to calculate the Decrease
Decrease = 13/16 inches
Decrease=0.8125 inches
Second step is to calculate the time interval
From 10 pm to 7:45 hours will be 9.45 hours
Time interval= (9 + 45/60) hours
Time interval=9.75 hours
Now let determine How much did it drop each hour
0.8125/9.75 inches/hour
=0.08333 inches/hour
Inconclusion How much did it drop each hour is 0.08333 inches/hour
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