What is the product?<br> (-2d^2+s)(5d^2-6s)

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

777dan777 [17]

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

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8 0

2 years ago

Write an addition fact that helps you solve 16-9

pochemuha

4+1 = 5
5 is the answer but you could also just subtract it a normal way

3 0

3 years ago

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Rafael want to buy the same number of gifts bags and bows gifts bags are sold in packs of 6. Bows are sold in packs of 9. What i

GenaCL600 [577]

Answer:

Rafael should buy 9 gift bags and 6 bows packet so, that she can have SAME NUMBER OF ITEMS, i.e 54.

Step-by-step explanation:

The gift bags are sold in the packs of 6.

So, the number of gift bags in 1 packet = 6 gift bags

The number of gift bags in 2 packet = 6 x 2 gift bags = 12 gift bags

The number of gift bags in 3 packet = 6 x 3 gift bags = 18 gift bags

And continuing similarly, we get

The number of gift bags in 9 packet = 6 x 9 gift bags = 54 gift bags.. (1)

The bows are sold in the pack of 9.

So, the number of bows in 1 packet = 9 bows

The number of bows in 2 packet = 9 x 2 bows = 18 bows

The number of bows in 3 packet = 9 x 3 bows = 27 bows

And continuing similarly, we get

The number of bows in 6 packet = 9 x 6 bows = 54 bows... (2)

Here, comparing both equations (1) and (2) , we get

The number of gift bags = 54 = The number of bows.

Hence, Rafael should buy 9 gift bags and 6 packet of bows so, that she can have SAME NUMBER OF ITEMS, i.e 54.

8 0

3 years ago

Fernanda's expenditures for this month are: rent, $750.00; groceries, $346.00;

Ivahew [28]

The answer is 1719.09 because that’s the total

7 0

3 years ago

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From the ground, a hot-air balloon went up at a speed of 375 feet per minute for 5 minutes. It then went down at a speed of 225

NISA [10]

525 feet is your answer

6 0

3 years ago

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What is the product? (-2d^2+s)(5d^2-6s)