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Anton [14]
3 years ago
9

How can you use the prime factorization of the powers of ten to find the prime factorization of 270,000?

Mathematics
1 answer:
RoseWind [281]3 years ago
8 0
Prime factorization is the process of finding the factors of a number and these factors must be of prime numbers.

27000 = 27 × 10000
27000 = 27 × 10⁴
27000 = 3 × 9 × 10⁴ [Here we have 3 as a prime number, but not '9' and '10', so we will keep breaking this down]
27000 = 3 ×3 × 3 × (2 × 5) ⁴ [Here we have all prime numbers]
27000 = 3³ × 2⁴ × 5⁴ 

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What is the decimal equivalent of the 15/8
ElenaW [278]

Answer:

A) 15.8

Step-by-step explanation:

10/8 = .80

15+ .80 = 15.8

6 0
3 years ago
Tell whether the pair of polygons is similar. Explain why or why not.
Savatey [412]

9514 1404 393

Answer:

  not similar

Step-by-step explanation:

Similar polygons have all corresponding angles congruent, and corresponding sides proportional.

The sides lengths guarantee the polygons are parallelograms, so one pair of angles being congruent is sufficient to ensure that all corresponding angles are congruent.

The ratio of side lengths in the left polygon is 13/8, and the ratio of side lengths in the right polygon is 5.2/2.4 = 13/6. These are different ratios, so the corresponding sides are NOT proportional.

The figures are NOT SIMILAR.

7 0
2 years ago
Is it a function or not a function and if why is it either a function or not a function?
Butoxors [25]

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function

Step-by-step explanation:

8 0
3 years ago
Fred buys a binder for $4.50 and six reams of paper. Latasha buys an ink cartridge for $17.50 and four reams of paper. Both spen
kondor19780726 [428]

Answer:

The the price of one ream of paper is $6.5.

Step-by-step explanation:

Here, Let us assume the cost of one ream of paper  = $  m

<u>The money spent by Fred:</u>

The money spent on a  binder  = $4.50

The money spent on 6 ream of papers  =  6 x ( cost of 1 ream )

= 6 x ($m) = 6 m

⇒The total money Fred spent  = Money spent on (binder + 6 ream of papers)  

= 4.50 + 6 m  ....... (1)

<u>The money spent by Latasha:</u>

The money spent on a cartridge = $17.50

The money spent on 4 ream of papers  =  4 x ( cost of 1 ream )

= 4 x ($m) = 4 m

⇒The total money Latasha spent  = Money spent on (cartridge + 4 ream of papers)  

= 17 .50 + 4 m  .... (2)

Also, Both spend the same amount of money

⇒4.50 + 6 m = 17 .50 + 4 m   ( from (1) and (2))

or, 6 m - 4  m= 17. 50 - 4, 50

or, 2 m =  13

or, m = 13/ 2  = 6.5

So, the value of m = $6.5

Hence, the the price of one ream of paper is $6.5.

7 0
3 years ago
Find the value of x.
olchik [2.2K]

Answer:

x = 4

Step-by-step explanation:

In \triangle BAC, \: DE || AC

Hence, by basic proportionality theorem:

\frac{x + 2}{x}  =  \frac{3}{2}  \\  \\  \therefore \: 2(x + 2) = 3x \\ \therefore \:2x + 4 = 3x \\ \therefore \:4 = 3x - 2x \\ \therefore \:4 = x \\  \huge \red { \boxed{\therefore \:x = 4}}

7 0
3 years ago
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