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3 years ago

What is the prime factorization of 75?

Mathematics

2 answers:

Gemiola [76]3 years ago

8 0

75 : 3 = 25

25 : 5 = 5

5 : 5 = 1

75 = 3 · 5 · 5 = 3 · 5²

<h3>Answer: 3 • 5^2</h3>

murzikaleks [220]3 years ago

3 0

3 x 25 = 75 and 3 x 5^2 = 75 are the same equations

72 x 5 = 360

2 x 3 x 7 = 42

the answer is

3 x 25 and 3 x 5^2

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A.10 ft2 because 1 ÷2

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4 years ago

A company makes picture frames for different sized pictures. A customer has several rectangular-shaped photographs that he wants

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-2I + P- 2w = 0

Step-by-step explanation:

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3 years ago

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A box contains 6 black pens, 4 blue pens, and 7 red pens. Without looking, Clarissa randomly picks a black pen out of the box. I

Irina18 [472]

Answer:

31.35%

Step-by-step explanation:

<h3><u>Initial</u><u> </u><u>reading</u><u>:</u></h3>

In the box, there are:

6 Black pens
4 blue pens
7 red pens

Total number of pens in the box = 6 + 4 + 7

<u>= 17</u>

<em>If we count pens as outcomes the total number of possible outcomes are 17</em>.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3><u>New</u><u> </u><u>reading</u><u>:</u></h3>

Clarissa takes out a black pen from the box.

That reduces the number of black pens by 1 which increases the total number of pens by 1 as well.

So now:

Number of black pens = 6 - 1 =<u> 5 </u>
Total number of pens = 17 - 1 =<u> </u><u>16</u><u> </u>

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3><u>Probability</u><u>:</u></h3>

$\boxed{ \mathsf{probability = \frac{favorable \: outcomes}{total \: outcomes} }}$

If we want her to pick up a black pen, and she ends up picking one. So, we can say that the outcome is in our favor.

That makes it,

the number of favorable outcomes = number of black pens

= 5

and total outcomes = Total number of pens

= 16

$\implies\mathsf{probability = \frac{5}{16} }$

For showing it as some percent we'll just multiply the fraction by 100

$\implies \mathsf{ \frac{5}{16} \times 100 }$

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<h3><u>As</u><u> </u><u>a</u><u> </u><u>percent</u><u>:</u></h3>

$\implies \mathsf{ \underline{ 31.25 \: \% } }$

4 0

3 years ago

How can you make the numbers of 2022 (2, 2, 0, 2) equal 10 and 7? must use all numbers and can only use them once

ahrayia [7]

Answer:

(22÷2)-0! = 10

2+2+2+0! = 7

Step-by-step explanation:

(22÷2)-0!=

Divide 22÷2 first bc its inside the parenthesis, get:

11 - 0! Next evaluate the factorial (yes, exclamation mark is a mathematical operation and 0! equals 1)

11 - 1 subtract

Next, 2+2+2+0! =

2+2+2+1=

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2 years ago

Betsy and Marie both got their haircut on the same day bed she gets her haircut every 28 days and Mary gets her haircut every 35

makkiz [27]

Answer:

140 days until they both get their haircut on the same day again

Step-by-step explanation:

When two events, A and B, happen every x and y days, respectively, they will happen on the same day in each lcm(x,y) days. lcm(x,y) is the lesser common multiple of x and y which is not 0.

In this question:

Betsy every 28 days.

Mary every 35 days.

Multiples of 28: {0,28,56,84,112,140,...}

Multiples of 35: {0,35,70,105,140,...}

So the lesser common multiple between 28 and 35 is 140.

140 days until they both get their haircut on the same day again

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3 years ago

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