A dripping faucet loses about 2.5×10−42.5×10−4 liters of water each minute. There are approximately 3×1053×105 minutes in a month. About how many liters of water are lost because of the dripping faucet in a month?

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Answer:

75 liters of water is lost because of the dripping faucet in a month.

Step-by-step explanation:

Given : A dripping faucet losses  [tex]2.5 \times 10^{-4}[/tex] liters of water each minute.

Also , a month has approximately [tex]3 \times 10^5[/tex] minutes.

Total liters of water lost because of the dripping faucet in a month = water loss each minute × minutes in a month

[tex]=2.5 \times10^{-4}\times3 \times10^5[/tex]

Using property of exponents,[tex]a^xa^y=a^{x+y}[/tex],

[tex]=2.5 \times3 \times10^{(5-4)}[/tex]

[tex]=7.5 \times10^{1}[/tex]

[tex]=75[/tex]

Thus, 75 liters of water is lost because of the dripping faucet in a month.