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Archy [21]
3 years ago
11

Lolita closes the nozzle of the funnel and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at

the rate of 12 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? (Use π=3.14.). A] 2.35 minutes. B] 4.71 minutes. C] 1.57 minutes. D] 3.14 minutes
Mathematics
2 answers:
Anna007 [38]3 years ago
5 0
Out of the following choices given, if the liquid drips at the rate of 12 cubic inches per minute, it will take approximately 3.14 minutes for all the liquid to pass through the nozzle. The correct answer will be D. 
asambeis [7]3 years ago
3 0

Answer:

Option d. 3.14 minutes.

Step-by-step explanation:

To answer this question, we first determine the volume of the inverted cone through the equation,

                                      V = Bh/3

where B is the area of the base and h is the height. 

                                  V = (π)(3 in)²(4 in) / 3

                                       V = 37.68 in³

Now the liquid drips at the rate of 12 in³ every minute, divide the rate of the water dripping by the number of house,

                                               n = (37.68 in³)/12 in³/min

                                                  n = 3.14 mins

It would take 3.14 minutes for all the liquid to pass through the nozzle.

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Rewrite the fraction in simplest form. 62/70
Ostrovityanka [42]
The answer is 31/35
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8 0
3 years ago
700 tickets to the school play were sold by students. Meryl sold 56 tickets. What percent of the tickets did Meryl sell?
Anni [7]

Answer: 644

Step-by-step explanation:

700 - 56 = 644

4 0
3 years ago
The sum of 3 consecutive odd numbers is 183. what is the second number in this sequence?
Juliette [100K]
Let, the numbers are: x, (x+2), (x+4)
Now, x+x+2+x+4 = 183
3x + 6 = 183
3x = 177
x = 59

So, second number would be: (x+2) = (59+2) = 61

In short, Your Final answer would be 61

Hope this helps!
4 0
3 years ago
Is the line through points P(2, –5) and Q(–5, –1) parallel to the line through points R(5, 4) and S(–2, 5)? Explain.
Irina-Kira [14]

Answer:

the answer is No

Step-by-step explanation:

Since the first line has a slope of -4/7 and the other line has a slope of -1/7. This can be shown in point slope form y-y1=m(x-x1) where m=∆y/∆x.

Through points P and Q, the point slope is represented as -1-(-5)=m(-5-2) ; 4 = -7m ; m = 4/-7. The next two points R and S can be shown in point slope as 5-4=m(-2-5) ; 1 = -7m ; m =1/-7. With the fact that parallel lines must have equal slopes, these two lines cannot be parallel because -4/7≠-1/7

3 0
3 years ago
The savings account offering which of these APRs and compounding periods
Ann [662]

Answer:

The answer is "Option C"

Step-by-step explanation:

The using formula= (1+\frac{r}{n})^n -1

→r = rate

→ n = compounded value

In choice a:

When compounded is monthly 4.0784\%  

n = 12

\to (1+ \frac{0.040784}{12})^{12} = 1.0403-1 = 0.0403

In choice b:

When compounded is quarterly4.0792\%

n = 3\\\\\to (1+ \frac{0.040792}{12} )^{3} = 1.0102-1 = .0102

In choice c:

Whenn compounded is daily 4.0730 \%

n = 365\\\\\to (1+ \frac{0.040730}{12})^{365}  = 3.328-1 = 2.328

In choice d:

When compounded is semiannually4.0798\%

n = 2\\\\\to (1+ \frac{0.040798}{12})^{2} = 1.0066-1 = 0.0066

7 0
3 years ago
Read 2 more answers
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