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Vaselesa [24]
4 years ago
10

Logan and Nathan are shelving books at a public library. Logan shelves 5 books at a time, whereas Nathan shelves 6 books at a ti

me. If they end up shelving the same number of books, what is the smallest number of books each could have shelved?
Mathematics
1 answer:
jarptica [38.1K]4 years ago
7 0

Answer:

<em>30</em>

Step-by-step explanation:

Given that

Logan shelves 5 books and

Nathan shelves 6 books

They end shelving the same number of books.

To find:

Smallest number of books each could have shelved?

Solution:

First of all, let us have a look at the definition of <em>Least Common Multiple(LCM)</em> of two numbers.

Least Common Multiple (LCM) of two numbers is the minimum number which is divisible by both the numbers.

Now, looking at the statement of the given question.

We have to find the LCM of both the numbers actually.

Making factors of the numbers:

5=5\times 1

6=2\times 3

Nothing is common here, therefore the LCM is 5\times 6 =\bold{30}.

Smallest number of books shelved = <em>30</em>

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Solve for x and y.
goldenfox [79]

Answer:

x= 15

y=  5

Step-by-step explanation:

it is a reflective opposite side exterior angle or line you are seeing.

The angle on the other side is a vertical angle meaning it is the same. Which leads to show that the measurements are the same as well.

6 0
3 years ago
Bruce saved $ 35.00 to buy a new video game. The game's original price was $ 42.00 , but it was on sale for 30% off. The sales t
Brilliant_brown [7]

Bruce have $35 which is greater than amount to be paid i.e. $30.87 . So , Bruce have enough money to buy the game .

<u>Step-by-step explanation:</u>

Here we have , Bruce saved $ 35.00 to buy a new video game. The game's original price was $ 42.00 , but it was on sale for 30% off. The sales tax rate was 5%.  We need to find Did Bruce have enough money to buy the game .Let's find out:

We have , Bruce saved $ 35.00 to buy a new video game . The game's original price was $ 42.00 , but it was on sale for 30% off. i.e.

Price = Original price - \frac{Original-price(30)}{100}

⇒ 42-\frac{42(30)}{100}

⇒ 42-\frac{1260}{100}

⇒ 42-12.6

⇒ 29.4

Now,  The sales tax rate was 5%. So , total amount to be paid is :

⇒ 29.4 + \frac{29.4(5)}{100}

⇒ 29.40 +1.47

⇒ 30.87

Bruce have $35 which is greater than amount to be paid i.e. $30.87 . So , Bruce have enough money to buy the game .

4 0
3 years ago
The atom is the basic unit in chemistry. An atom contains neutrons, protons, and electrons. Neutrons are neutral, protons have a
erastovalidia [21]

Answer:

C

Step-by-step explanation:

A positive charged ion or cation would have more protons than electrons.

4 0
3 years ago
A ruby-throated hummingbird beats it’s wings about 53 times each second.About how many times does a ruby-throated hummingbird be
Tcecarenko [31]
Well you take 53 per second and you multiply 53 by 5

53 x 5 = ?

50 x 5 = 250

3 x 5 = 15

So your exact answer is 265... I also am not sure where you want it rounded to but if it was a default "round" I would say 250


3 0
4 years ago
Read 2 more answers
1 point
zmey [24]

Answer:

C

Step-by-step explanation:

She earns $3,567 and spends $2,895.  That means that $2,895 is taken away from how much she earns each month.  Subtraction is the correct operation, cancelling out choices B and D

$3,567 - $2,895

Now, you need to figure out the answer to the above problem.  Choice C is your answer.

$3,567 - $2,895 = $672

3 0
3 years ago
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