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Sonja [21]
2 years ago
11

A tap can fill a bucket in 6 hours. After half the bucket is filled, three more similar taps are opened. What is the total time

taken to fill the bucket completely?.
Mathematics
1 answer:
777dan777 [17]2 years ago
8 0

The total time taken to fill the bucket completely is 3 hours 45 minutes

The time taken to fill the bucket by one tap= 6 hours

Then the time take by one tap to fill half of the bucket= 3 hours

Part filled by one tap in one hour =\frac{1}{6}

Part filled by four taps in one hour =4(\frac{1}{6})=\frac{4}{6}=\frac{2}{3}

Given, that after half the bucket is filled, three more similar taps are opened

Then the remaining part = 1-\frac{1}{2}=\frac{1}{2}

Time taken to fill the half of the bucket= (\frac{1}{2} )(\frac{2}{3})=\frac{3}{4} hours

Convert the hours to minutes

(\frac{3}{4})60=45 minutes

Therefore,

Total time taken to fill the bucket= The time taken by one tap to fill half of the bucket+  Time taken by 4 taps to fill the half of the bucket

=3 hours+ 45 minutes

=3 hours 45 minutes

Hence, The total time taken to fill the bucket completely is 3 hours 45 minutes

Learn more about time here

brainly.com/question/28050940

#SPJ4

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What is 4 (5×1÷20) because I dont know lol
Whitepunk [10]
Well first we need to do whatever is in the parentheses, which in this case is: (5x1/20)

Following the order of operations (PEMDAS) we start with the multiplication, which is (5x1). We know that 5x1=5, so now we can move on to the division:

5/20, which is equal to 0.25

So now that we know the answer to the equation in the parentheses is 0.25, we can solve the whole equation.

Here is the equation simplified:

4 (0.25)

Because there is now operation indicated between the 4 and the parentheses, we can assume that multiplication is implied, so the final equation is as follows:

4x0.25=1

The final answer is: 1

Hope this helps!
4 0
3 years ago
Solve for the given time.
AlekseyPX

9514 1404 393

Answer:

  $319,525.64

Step-by-step explanation:

It appears you want the interest to accumulate for 15 years before you pay anything on the loan. The value of $180,000 appreciating at 3.9% annually will be ...

  $180,000·(1 +0.039)^15 = $319,525.64

If your lender allows you to wait 15 years before making any payment, your payment will be $319,525.64.

__

<em>Additional comment</em>

Home loans are usually paid with monthly payments computed from the formula ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where A is the monthly payment on principal P, r is the annual interest rate, t is the number of years.

For your $180,000 loan, the monthly payment is ...

  A = $180,000·(0.039/12)/(1 -(1 +0.039/12)^(-12·15)) ≈ $1322.44

The total of those payments is ...

  180·$1322.44 = $238,039.20

If you pay $1322.44 monthly on the loan, your total payment is $238,039.20.

3 0
3 years ago
Lana has 3 bags with the same amount of marbles in them, totaling 12 marbles. Markus has 3 bags with the same amount of marbles
Julli [10]

Answer:

Markus has 6 marbles in each bag.

Step-by-step explanation:

Markus has 18 marbles and 3 bags

If you divide 18 marbles by 3 bags that would be 6 marbles in each bag.

5 0
3 years ago
When 300 apple trees are planted per acre, the annual yield is 1.6 bushels of apples per tree. For every 10 additional apple tre
AVprozaik [17]

I just had this problem at rsm

the answer is 950 trees

5 0
3 years ago
In the diagram, point C represents the center of the sphere. Diego says that the part of the sphere labeled D is the radius. Gre
Katen [24]

Answer:

Gregoire is correct; the diameter is a chord that passes through the center of the sphere.

Step-by-step explanation:

A sphere is a geometrical shape formed from a circle. Some of its parts are: diameter, center, radius circumference, etc.

The center of a sphere is a point at its middle. The diameter is a straight line, e.g a chord, that is drawn from one point on the circumference of a sphere to another point and passes through its center. While radius is a line that is from the center of the sphere to a point on its circumference.

A diameter is twice of a radius, so that:

                            Radius = \frac{Diameter}{2}

⇒                        Diameter = 2 × Radius

Therefore with respect to the question, Gregoire is correct because a diameter is a chord that passes through the center of the sphere.

3 0
3 years ago
Read 2 more answers
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