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Mazyrski [523]
3 years ago
10

Use Euler’s Formula to find the missing number.

Mathematics
2 answers:
damaskus [11]3 years ago
7 0

Answer:

Option 1st is correct

number of vertices = 30

Step-by-step explanation:

Let e be the number of edges, f be the number of faces and v be the number of  vertices.

As per the statement:

Number of edges(e) = 49

Number of faces(f) = 21

We have to find number of vertices.

using Euler's formula:

v-e+f = 2

then;

v-49+21=2

⇒v-28=2

Add 28 to both sides we have;

v = 30

Therefore, the number of vertices = 30

Levart [38]3 years ago
4 0
It is 30, 30 - 49 is -19 plus 21 is 2
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The bookstore sells packages of 15 pens
AlexFokin [52]

Considering the definition of least common multiple, this means that smallest number of packages of each they can buy is 60.

<h3>Least common multiple</h3>

A number is a multiple of another when it contains it exactly n times. In other words, the multiples of a number are the ones you get when you multiply one number by another.

The least common multiple allows us to know what is the smallest number that is a multiple of a certain set of numbers.

One procedure for calculating the least common multiple is to break each number into prime factors. Then the common and uncommon factors are raised to the highest exponent, which must be multiplied.

<h3 /><h3>Smallest number of packages</h3>

To calculate the smallest number of packages of each they can buy, you calculate the least common multiple.

First, the decomposition of the numbers into prime factors is carried out:

15= 3×5

12= 2×2×3= 2²×3

Then, the least common multiple is calculated as 2²×3×5

Solving, the least common multiple between 12 and 15 is 60.

Finally, this means that smallest number of packages of each they can buy is 60.

Learn more with this similar problems:

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8 0
2 years ago
PLEASE HELP! DUE AT 11:59 PST
Nesterboy [21]

Answer:

Y = 15x + 30 and 8 hours

Step-by-step explanation:

She gets $15 per hour so her income is based on her hours, but we don't know what that is yet so, 15x.

She gets a solid $30 every week that is straight forward

To solve the function

150 = 15x + 30

subtract 30 from both sides

120 = 15x

divide 15 from both sides

8 = x

or

x = 8

You got this :)

3 0
3 years ago
find the volume of a cylinder whose base has a diemeter of 11 and whose height is 12.5. use 3.14 and round your answer to the ne
atroni [7]
Volume = π (3.14)×22^2×12.5 = 18,997 inches³
3 0
4 years ago
Please help me ASAP I’ll mark Brainly
raketka [301]

Answer:

13(2+3)

Step-by-step explanation:

hope this is correct let me know if you need the steps!

4 0
3 years ago
I only need help on number 6 plzzzz help
Gennadij [26K]
That question is asking for the time so your answer will specifically be in hours. And I'm not sure if you divide or you multiply but I'm pretty sure the correct answer is dividing because tomorrow so cancel the miles they will be left with hours. I don't know if that makes sense to you but it kind of makes sense to me somehow.
4 0
3 years ago
Read 2 more answers
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