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3 years ago

Fracción equivalente 1/10

Mathematics

1 answer:

Tcecarenko [31]3 years ago

6 0

2/20 is equivalent to 1/10 because 2/2 is equal to 1 and 20/2 is equal to 10.

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Expand and multiply 4<br> 3.

oee [108]

Answer/Step-by-step explanation:

43 = (4 * 101) + (3 * 100)

43 = (4 * 10) + (3 * 1)

43 = 40 + 3

4 0

2 years ago

A series of books has 30 volumes, each with 700 pages. What is the total number of pages in the series?

elena55 [62]

Answer:

Step-by-step explanation:

Here we have to multiply to find the total...

30 volumes, then each individual book with 700 pages, therefore, the answer would be 21,000 pages

7 0

3 years ago

A Choir director made a histogram showing his ages of the members in choir which statement about the data in the histogram must

aleksandr82 [10.1K]

Answer:

C) The choir has a total of 100 members

Step-by-step explanation:

Histogram is the graphical representation of data with the use of bars of different heights.

From the histogram attached:

A) Number of people fro 46 to 73 years = 30 + 5 + 15 = 50

Total Number of people = 15 + 20 + 5 + 10 + 30 + 5 + 15 = 100

Therefore half of the people are from 46 to 73 years.

Therefore the statement that more than half of the people are from 46 to 73 years is wrong.

B) The histogram shows the number of members between each age range, it does not show the number of male and female members. Hence we cannot determine the number of male and female members.

C) Total Number of people = 15 + 20 + 5 + 10 + 30 + 5 + 15 = 100

The choir has a total of 100 members

D) Number of people less than 32 years = 15 + 20 = 35

Therefore the statement that exactly 20 members are less than 32 years is wrong

6 0

3 years ago

What are the first 10 digits after the decimal point (technically the hexadecimal point...) when the fraction frac17 is written

Nataliya [291]

We happen to have

$\dfrac17 = \dfrac18 + \dfrac1{8^2} + \dfrac1{8^3} + \cdots$

which is to say, the base-8 representation of 1/7 is

$\dfrac17 \equiv 0.111\ldots_8$

This follows from the well-known result on geometric series,

$\displaystyle \sum_{n=1}^\infty ar^{n-1} = \frac a{1-r}$

if $|r|$ . With $a=1$ and $r=\frac18$ , we have

$\displaystyle \sum_{n=1}^\infty \frac1{8^{n-1}} = 1 + \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots \\\\ \implies \frac1{1-\frac18} = 1 + \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots \\\\ \implies \frac87 = 1 + \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots \\\\ \implies \frac17 = \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots$

Uniformly multiplying each term on the right by an appropriate power of 2, we have

$\dfrac17 = \dfrac2{16} + \dfrac{2^2}{16^2} + \dfrac{2^3}{16^3} + \dfrac{2^4}{16^4} + \dfrac{2^5}{16^5} + \dfrac{2^6}{16^6} + \cdots$

Now observe that for $n\ge4$ , each numerator on the right side side will contain a factor of 16 that can be eliminated.

$\dfrac{2^n}{16^n} = \dfrac{2^4\times2^{n-4}}{16^n} = \dfrac{2^{n-4}}{16^{n-1}}$

That is,

$\dfrac{2^4}{16^4} = \dfrac1{16^3}$

$\dfrac{2^5}{16^5} = \dfrac2{16^4}$

$\dfrac{2^6}{16^6} = \dfrac4{16^5}$

etc. so that

$\dfrac17 = \dfrac2{16} + \dfrac4{16^2} + \dfrac9{16^3} + \dfrac2{16^4} + \dfrac4{16^5} + \dfrac9{16^6} + \cdots$

and thus the base-16 representation of 1/7 is

$\dfrac17 \equiv 0.249249249\ldots_{16}$

and the first 10 digits after the (hexa)decimal point are {2, 4, 9, 2, 4, 9, 2, 4, 9, 2}.

3 0

2 years ago

Show that 25 is a square number. use a diagra, symbols, and words.

icang [17]

25 is a perfect square because 5•5=25. When a number is multiplied by istelf, the product is a perfect square

7 0

4 years ago