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my shower linking at rate of one drop per second. should i be worried?
a. how many cups of water per hour are being wasted?
b. how many gallons per week?

1 gallon = 4 quarts
1 tbsp = 3 tsp
4 cups = 1 quart
1 tsp = 16 drops
1 cups = 16 thsp
1 sec = 1 drop
show the work

Respuesta :

keeping in mind that there are 60 drops in 1 fluid oz, and that there are 3600 seconds in 1 hr.

[tex]\bf \boxed{a} \\\\\\ \cfrac{1 \underline{drop}}{\underline{1 sec}}\cdot \cfrac{1 \underline{oz}}{60 \underline{drop}}\cdot \cfrac{1 cup}{8 \underline{oz}}\cdot \cfrac{3600 \underline{sec}}{1 hr}\implies \cfrac{1\cdot 1\cdot 1\cdot 3600 cup}{1\cdot 60\cdot 8\cdot 1}\implies \cfrac{3600 cup}{480 hr} \\\\\\ \cfrac{15}{2}\cfrac{cup}{hr}\implies 7.5~\frac{cup}{hr} \\\\[-0.35em] ~\dotfill\\\\[/tex]

[tex]\bf \boxed{b} \\\\\\ \cfrac{15 \underline{cup}}{2 \underline{hr}}\cdot \cfrac{1 gallon}{4 \underline{quart}}\cdot \cfrac{1 \underline{quart}}{2 \underline{pint}}\cdot \cfrac{1 \underline{pint}}{2 \underline{cup}}\cdot \cfrac{24 hr}{1 \underline{day}}\cdot \cfrac{7 \underline{day}}{1 week}\implies \cfrac{15\cdot 1\cdot 1\cdot 1\cdot 24\cdot 7 gallon}{2\cdot 4\cdot 2\cdot 2\cdot 1\cdot 1 week}[/tex]


[tex]\bf \cfrac{2520}{32}\cfrac{gallon}{week}\implies \cfrac{315}{4}\cfrac{gallon}{week}\implies 78.75~\frac{gallon}{week}[/tex]

MrRoyal

Rates are used to measure quantities over another

  • The number of cups per hour is 4.6875.
  • The number of gallons per week is 49.21875.

The rate is given as:

[tex]\mathbf{Rate = 1\ drop\ per\ second}[/tex]

Multiply by 3600 seconds, to get the number of drops in an hour

[tex]\mathbf{Drops = 3600}[/tex] --- in 1 hour

Convert to tsp

[tex]\mathbf{tsp = \frac{3600}{16}}[/tex]

[tex]\mathbf{tsp = 225}[/tex]

Convert to tbsp

[tex]\mathbf{tbsp = \frac{225}{3}}[/tex]

[tex]\mathbf{tbsp = 75}[/tex]

Convert to cups

[tex]\mathbf{Cup = \frac{75}{16}}[/tex]

[tex]\mathbf{Cup = 4.6875}[/tex]

Hence, the number of cups per hour is 4.6875.

(b). Number of gallons per week

Multiply by 168 to convert to number of cups in a week

[tex]\mathbf{Cup = 4.6875 \times 168}[/tex]

[tex]\mathbf{Cup = 787.5}[/tex]

Divide by 4, to convert to quarts

[tex]\mathbf{Quart = \frac{787.5}{4}}[/tex]

[tex]\mathbf{Quart = 196.875}[/tex]

Divide by 4, to convert to gallons

[tex]\mathbf{Gallons = \frac{196.875}{4}}[/tex]

[tex]\mathbf{Gallons = 49.21875}[/tex]

Hence, the number of gallons per week is 49.21875.

Read more about rates at:

https://brainly.com/question/18065083

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