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diamong [38]
2 years ago
8

Find prime factorizations of 3,210 and 3,528. Show your work.

Mathematics
2 answers:
iragen [17]2 years ago
5 0
Find the prime factorization of 3210
3210 = 2 × 3 × 5 × 107

Find the prime factorization of 3528
3528 = 2 × 2 × 2 × 3 × 3 × 7 × 7

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 3

GCF = 6


ANSWER: 6
brilliants [131]2 years ago
4 0

9514 1404 393

Answer:

  3210 = 2·3·5·107

  3528 = 2³·3²·7²

Step-by-step explanation:

Divisibility rules help.

A number is divisible by 2 if it is even.

A number is divisible by 3 if the sum of digits is divisible by 3.

A number is divisible by 5 if it ends in 5 or 0.

A number is divisible by 7 if subtracting twice the 1s digit from the rest of the number results in a number divisible by 7.

<h3><u>3210</u></h3>

  Even, and ends in 0, so is divisible by 2·5

  3210/10 = 321

  Sum of digits is 6, so is divisible by 3

  321/3 = 107

  None of the divisibility rules applies, and √107 ≈ 10.3, so there are no prime factors of 107.

  3210 = 2·3·5·107

__

<h3><u>3528</u></h3>

  Ends in 2 digits divisible by 4, so is divisible by 4

  3528/4 = 882

  Even, so is divisible by 2

  882/2 = 441

  Sum of digits is 9, so is divisible by 9

  441/9 = 49

  This is recognizable as the square of 7.

  3528 = 2³·3²·7²

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tekilochka [14]

Let's make another angle y

Where y= 51° (corresponding angles )

and x+y= 180°. ( linear pair )

x+51°= 180° (y=51°)

x=180°-51°

x= 129°

<u>So the value of x is 129</u>°

Hope you got your answer !

4 0
3 years ago
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What is the standard for of the number three million, sixty thousand, five hundred twenty?
Juli2301 [7.4K]
3,000,000+60,000+500+20
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mestny [16]
Try explaining how you worked the problem and how you did it
6 0
3 years ago
Two simple question Brainliest, 5 stars and Thanks too you pls HELP!!!!
Setler79 [48]

Answer:

\Huge\boxed { 1/4}

\Huge\boxed {226•333. miles}

Step-by-step explanation:

\huge\pink{\boxed{\green{\mathcal{\overbrace{\underbrace{\fcolorbox{Black}{aqua}{\underline{\pink{✩1.solusion✩}}}}}}}}}

1. ⟾ one dozen = 12, so 2 dozen = 12×2=24

⟾ 24 Joe's doughnuts = $6

⟾ 1 Joe's doughnuts or unit / rate = $6/24 = $1/4.

⟾ so per doughnut unit rate is $ 1/4.

\huge\pink{\boxed{\green{\mathcal{\overbrace{\underbrace{\fcolorbox{Black}{aqua}{\underline{\pink{✩2.solusion✩}}}}}}}}}

2. ⟾ 24 hours = 5432 miles.

⟾ 1 hours = 5432/24 hours

⟾ 1 hours = 226•333 miles.

⟾ so aryan drove in 226•333 miles in 1 hours.

Hope it's helps you

8 0
2 years ago
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Which equation is equivalent to x + x - (-3) = 12?
Bogdan [553]

Answer:

C.) 2x+3 = 12

Step-by-step explanation:

x+x=2x

2x-(-3) is 2x+3

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3 0
3 years ago
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