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3 years ago

The sum of three consecutive integers is 174174. what are the integers?

Mathematics

1 answer:

baherus [9]3 years ago

6 0

58057, 58058, 58059 are the numbers!

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2 years ago

The table shows pattern p and patterns q complete the table

mario62 [17]

ANSWER

P=8,Q=16

EXPLANATION

We can see from the table that both pattern P and Q have an initial value of 24.

Pattern P is reducing by a constant difference of 4.

The next value for pattern P is

12-4=8.

Also pattern Q is reducing by a constant value of 2.

The next value for pattern Q is,

18-2=16

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2 years ago

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3 tens 12 ones = tens 2 ones?

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2 years ago

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Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact

umka2103 [35]

Solution:

The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

where

$\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}$

Given that 6 objects are taken at a time from 8, this implies that

$\begin{gathered} n=8 \\ r=6 \end{gathered}$

Thus,

Number of permuations:

$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

$\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}$

Hence, there are 28 combinations and 20160 permutations.

7 0

7 months ago

What is 5/6 times 12

viktelen [127]

5/6 × 6 = 5 so 5/6 times 12= 10

8 0

3 years ago

Read 2 more answers

The sum of three consecutive integers is 174174. what are the​ integers?

The sum of three consecutive integers is 174174. what are the integers?