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12345 [234]
3 years ago
14

Ms.Waddell put a 12-inch tall bucket under a leak in her sink. The bucket fills at a constant rate of 1/2 inch in every 1/6 of a

n hour. How many hours will it take to fill the bucket?​
Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
8 0

Answer:

4 hours

Step-by-step explanation:

To solve this question you will simply make a ratio type equation. You know that every 1/6 of an hour, or every 10 minutes, the bucket will fill 1/2 an inch. The bucket is 12 inches tall.

\frac{10 min}{1/2 inch} = \frac{x min}{12 inches}

Cross multiply

120=\frac{1}{2} x

x=240 min

Convert minutes to inches

\frac{240 min}{1}  * \frac{1 hr}{60 min} = 4 hr

Final answer: 4 hours

Hope this helps!

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Distance between points \left(x_1,y_1\right) and \left( x_2,y_2 \right) is

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[tex]d=\sqrt{(10-(-3))^2+(1-(-9))^2}=\sqrt{169+100}=\sqrt{269}d=\sqrt{(1-(-3))^2+(10-(-9))^2}=\sqrt{16+361}=\sqrt{376}[/tex] units.

Distance from Z to B:

d=\sqrt{(10-(-3))^2+(1-(-9))^2}=\sqrt{169+100}=\sqrt{269} units.

Horse Z is closer to the barn.

(The conversion to meters is not required; the question does not ask for actual distances, so "units" is OK.)
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Answer:

  see attached

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Step-by-step explanation:

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