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Alinara [238K]
3 years ago
14

Alice drives to Alabama at a rate of 60pmh. She drives home at a rate of 40mph. If the total trip takes her 5 hours, how long do

es it take her to drive back home?
Please help I'm panicking and I don't understand how to do it!
Mathematics
1 answer:
jonny [76]3 years ago
6 0
OK, so she definitely drove home faster than when she drove to her first destination. So she must've taken quicker to get home. Lets assume 3 hours on the way there and 2 hours on the way back.
I really hoped this helped. I'm no genius, but you asked for help and I tried to give it.
Have a great day.
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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
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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

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2 years ago
Kristin has 4 more headbands than Nikki does.
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(h+4)

Step-by-step explanation:

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What is a numerical expression? Give an example.
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Step-by-step explanation:

The term numerical expression is made up of two words, numerical meaning numbers, and expression meaning phrase. ... A numerical expression in mathematics can be a combination of numbers, integers combined using mathematical operators such as addition, subtraction, multiplication, or division.

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After eating a delicious meal at your favorite restaurant, the bill comes to $74.98. the sales tax rate is 5.5% and you would li
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So according to the problem, the tax should be calculated using the bill.

So 5.5% equals to 0.055.

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Suppose you are managing 15 employees, and you need to form three teams to work on different projects. Assume that all employees
Afina-wow [57]

Answer:

There are 17,418,240 different ways to choose the teams.

Step-by-step explanation:

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The number of possible arrangements of n elements is given by:

A_{n} = n!

In how many different ways can the teams be chosen so that the number of employees on each project are as follows: 9, 4, 2?

This is:

Arrangement of 9 elements, followed by an arrangement of 4 elements followed by an arrangement of 2 elements. So

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