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2 years ago

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

2 answers:

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.

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

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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Damm [24]

Answer:

B. 12/5

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5 0

3 years ago

isabel lives 3/4 mile from school, Janet lives 2/3 mile from school how much farther in miles does isabel live from school than

anyanavicka [17]

Hey There!

Steps to solve (steps will be in numerical order)

1. Find the lcd of the fractions $\frac{3}{4}$ and $\frac{2}{3}$ . The lcd for both problems will be 12.

2. To rewrite $\frac{3}{4}$ you have to multiply the numerator and denominator by three since the lcd is 12. So you're new fraction will be $\frac{9}{12}$ . For the second fraction, since the lcd is 12 you will multiply the numerator and denominator by 4. You're new fraction will be $\frac{8}{12}$ .

3. Since the problem contains the math keyword "Further", you automatically know you have to subtract, now subtract $\frac{9}{12}$ - $\frac{8}{12}$ . First, start of by subtracting the numerators, so subtract 9-8=1 , remember the denominators will always stay the same.

In conclusion, you're answer will be $\frac{1}{12}$ , so Isabel lives $\frac{1}{12}$ farther away from Janet.

Hope This Helps :)

3 0

3 years ago

Read 2 more answers

Write the expanded form of the expression. -1/2 (y - x) = ?

morpeh [17]

Answer:

The expanded form of the expression $-\frac{1}{2}(y-x)$ is $\mathbf{-\frac{1}{2}(y)+\frac{1}{2}(x)}$

Step-by-step explanation:

We need to write expanded form of the expression $-\frac{1}{2}(y-x)$

For expansion we will use distributive property of multiplication over addition

$a(b+c)=ab+ac$

Applying above rule:

$-\frac{1}{2}(y-x)\\=-\frac{1}{2}(y)-(-\frac{1}{2}(x))\\=-\frac{1}{2}(y)+\frac{1}{2}(x)$

So, the expanded form of the expression $-\frac{1}{2}(y-x)$ is $\mathbf{-\frac{1}{2}(y)+\frac{1}{2}(x)}$

3 0

3 years ago

Which pattern is non-linear?

Zielflug [23.3K]

Answer:

2, 4, 8, 16, 32

 is non-linear pattern

..........................................

Step-by-step explanation:

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

1st

-4+6=2

2+6=8

8+6=14

14+6=20

3rd

3+3=6

6+3=9

9+3=12

12+3=15

4th

5+4=9

9+4 =13

13+4=17

17+4=21

But 

2nd

2×2=4

4×2=8

8×2=16

16×2=32

5 0

3 years ago

Nick opens a savings account with $50. Each week after, he deposits $15. He wants to save $500. Write and solve equation to find

Alborosie

Answer:

Equation: 500 = 50 + 15x

Step-by-step explanation:

where x is the number of weeks Nick will have to deposit $15 in order to accumulate $500, given that the first week he deposited $50.

500 = 50 + 15x

450 = 15x

x = 30

Now Nick will have to deposit $15 each week for 30 weeks. This is in addition to the $50 deposit he made week 1. So it will take him 31 total deposits to accumulate the $500.

6 0

2 years ago