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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!

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The number of traffic violations in a city increased from 12 to 16 in a month.
Stels [109]
The answer is 33%. To work out a percentage increase we work out the increase, so the difference between 12 and 16 is 4. We divide this by the original amount (12) and times it by 100, which gives you 33.333(recurring) which is rounded to 33%. Hope this helps!
3 0
3 years ago
Read 2 more answers
Geometry: Similarity, Congruence, Proofs Question: Why are proofs so picky? Why can’t we just measure the two figures to see if
FrozenT [24]

Answer:

Haha proofs are an interesting thing. Usually, nothing is to scale, which is why you can't measure anything. They are pretty annoying, but it helps to know why certain things are the way that they are and develop justification skills for higher level math.

Sorry to discourage you, but you're going to see "Justify" quite a lot in calculus and beyond which is basically a more informal version of a proof

you can never escape it tbh lol

5 0
3 years ago
12. The weight of 56<br>books is 8kg. What<br>is the weight of 154<br>such books?​
Korvikt [17]

Answer:

56+56=112 16kg

112+42=154 42 = 6kg

Step-by-step explanation:

5 0
3 years ago
What is an equation of the line that passes through the point (4,-3)(4,−3) and is perpendicular to the line 4x+y=34x+y=3?
zlopas [31]

Step-by-step explanation:

Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

4x+ y= 3

y= -4x + 3

slope = -4

the new slope = 1/4

the equation formula y= mx+b

m = new slope

y = (x/4) + b

From the point given (4,-3)

y = -3. x = 4

-3 = 1 + b

b = -4

the equation =

y =  \frac{1}{4} x - 4

8 0
3 years ago
Urgent due for tommorow . will mark brainliest and get 50 pts<br>plz show workings​
Vilka [71]

Answer:

Step-by-step explanation:

Sec B

1) 5p⁻³ = 8*5⁻²      

p⁻³  = 2³*5⁻²/5            

p⁻³ =2³*5⁻³             { 1/a^m = a^-m}

p⁻³ = 5⁻³ /2⁻³            {a^m = 1/a^-m}

p⁻³ = (5/2)⁻³

p= 5/2

2) 4x²  = 81

x²  = 81/4

x²  = 9² /2²

x²  =(9/2)²

x = 9/2

3) 9^x/3 =81

9^x/3 = 9^2

Comparing the powers, x/3 = 2

                                         x = 2*3 =6

  x = 6

6 0
3 years ago
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