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kakasveta [241]
3 years ago
11

If no digit may be used more than once, how many 5-digit numbers can be formed using only the digits 3, 8, 1, 2, 5, and 7?

Mathematics
1 answer:
Margaret [11]3 years ago
5 0

The number of permutations of m(0\leq m\leq n) objects from n objects is

P(m,n)=\frac{n!}{(n-m)!}

Here 5 digits are chosen from 6 digits without replacement (order important).

The number of 5 digit numbers that can be formed is

\frac{6!}{(6-5)!} =6!=720

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To estimate the quotient of 5,401 ÷ 8, Mona used 5,600 as a compatible number. Her estimate will be an Overestimate or an undere
Elenna [48]

It would be a overestimate because the answer that she comes up with will be greater than the exact answer because 5,600>5,401.

Answer: Overestimate

6 0
3 years ago
The number of medals won by the United States is 26 more than three times the number of medals won by Italy. Write an algebraic
Illusion [34]

x = the number of medals won by Italy

y = the number of medals won by the US

y = 3x + 26

The <u>number of medals won by the United States</u>(y) <u>is</u>(=) 26 <u>more</u>(addition) than three <u>times</u>(multiplication) the <u>number of medals won by Italy</u>(x)

4 0
3 years ago
This pattern follows the rule add 2. What is another feature of this pattern?
Murrr4er [49]

Answer:

Option D, All of the terms are odd

Step-by-step explanation:

According to the image description provided:

Term one starts with one dot. One is an odd number.

If you add two to an odd number, the sum would be another odd number. This is what's happening with the pattern.

For example:

3+2=5

Three is an odd number. If you add two to it, you would get five, which is another odd number.

Term two has 3 dots, term three has 5 dots, term four has 7 dots.

So, all terms should be odd.

Option D should be the correct answer.

5 0
2 years ago
How many of the 1000 smallest positive integers are congruent to 1 modulo 9?
Serjik [45]
1 modulo 9 is the set of numbers as follows:

(0(9) + 1), (1(9) + 1, ....)
which is:
1, 10, 19

All we have to do is divide 1000 by 9, and round down.

1000/9 = 111.111......
There are 111 numbers.
Now let us check our work.

the set is as follows:

(1,10,19, ....... (111)9 +1)
(1, 10, 19 ........ 1000)
We are within 1000.
Therefore, 111 of the 1000 smallest positive integers are congruent to 1 modulo 9.
5 0
4 years ago
Mai's younger brother tells her that 10/7 equal to 2‾√ 2 2‾√ 2 . Mai knows this can't be right, because 10/7 is rational and 2‾√
makvit [3.9K]

Answer:

The number 10/7 is a rational number, which means it can be expressed as a fraction. Also, if we divide it would give a decimal infinite periodical number, which means it has a pattern on its decimal numbers.

On the other hand, the square root of 2 is irrational number, that means it can't be expressed as a fraction, because its decimal numbers don't have any pattern at all.

So, Mai's brother can see these type of numbers as crazy (irrational numbers) and sane (rational numbers).

At last, another important characteristic to shows that they aren't equal is that they don't have the exactly decimal numbers.

6 0
3 years ago
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