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12345 [234]
4 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]4 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!

You might be interested in
Alexander is working two summer jobs, making $10 per hour washing cars and $8 per hour landscaping. Last week Alexander worked t
IgorLugansk [536]

The system of equations is:

x = 2y

x*$10 + y*8 = $84

Solving it, we see that he worked 3 hours landscaping and 6 hours washing cars.

<h3>How to write the system of equations?</h3>

First, we need to define the variables:

  • x = number of hours washing cars.
  • y = number of hours landscaping.

We know that Alexander worked twice as many hours washing cars as he worked hours landscaping, then:

x = 2y

We also know that he earned a total of $84, then:

x*$10 + y*8 = $84

So the system of equations is:

x = 2y

x*$10 + y*8 = $84

To solve it, we just replace the first equation into the second one:

(2y)*$10 + y*8 = $84

y*$28 = $84

y = $84/$28 = 3

So He worked 3 hours landscaping, and:

x = 2*y = 2*3 = 6

6 hours washing cars.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

6 0
2 years ago
What is the value of 5/6÷3/7? a) 15/42, b) 18/35, c) 35/18, d) 42/15
BabaBlast [244]
\frac{5}{6} \div  \frac{3}{7}  \\ \\  \frac{5 \times 7}{6 \times 3} \\ \\  \frac{35}{18} \\ \\

The final result is: 35/18 or 1.9444.
4 0
3 years ago
Read 2 more answers
What is the amount in the account that compounds Once a Year after five years?
Klio2033 [76]

Answer:

i need more information to answer this

Step-by-step explanation:

7 0
3 years ago
One bag of Glizard wood chips covers a 215 square foot area. How many total bags of wood chips must be purchased to cover an are
Andrews [41]

42 x 61 = 2562

2562/215 = 11.92


 12 total bags are needed

3 0
3 years ago
Solve for e. 9e^2f=49<br> e=±√7f/3<br> e=±7√f/3<br> e=±7√f/3f<br> e=±√7f/3f
Vesnalui [34]
Divide by the coefficient of e^2, then take the square root.
  e^2 = 49/(9f)
  e = ±7/(3√f) = ±(7√f)/(3f)

The 3rd selection is appropriate:
  e=±(7√f)/(3f)


______
When written in plain text (not typeset), any denominator containing arithmetic must be enclosed in parentheses. When the expression is typeset, the surd and the division bar do the grouping for you.
  e=\pm \dfrac{7\sqrt{f}}{3f}
7 0
3 years ago
Read 2 more answers
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