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3 years ago

Order these numbers from least to greatest pleaseeeee 7,213,25.63, 6.23

Mathematics

2 answers:

Travka [436]3 years ago

4 0

Answer:

7,6.23,25.63,213

Step-by-step explanation:

this is the numbers from least to greatest

Angelina_Jolie [31]3 years ago

3 0

Anwser:

6.23,7,25.63,213

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dusya [7]

Answer:

x = 5/6

Step-by-step explanation:

Cross multiply.

18(x - 2) = 3(-7)

Divide both sides by 3.

6(x - 2) = -7

Distribute the 6.

6x - 12 = -7

Add 12 to both sides.

6x = 5

Divide both sides by 6.

x = 5/6

Answer: x = 5/6

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I think the answer is D. 18

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3 years ago

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3 years ago

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Someone please help me I have to show how they're similar

Sidana [21]

Angle AXD = angle CXB (vertically opposite angle)
then angle ADB = angle ABC
then angle DAB = angle BCD
I couldn't remember the name of the rule
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3 years ago

How is the series 5+11+17…+251 represented in summation notation?

NISA [10]

Answer:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

Step-by-step explanation:

Given:

Series 5+11+17+...+251

To find:

Summation notation of the given series

Summation Notation:

$\displaystyle \large{\sum_{k=1}^n a_k}$

Where n is the number of terms and $\displaystyle \large{a_k}$ is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

Arithmetic Series

A series that has common difference.

Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

11-5 = 6
17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

<u>Arithmetic Sequence</u>

$\displaystyle \large{a_n=a_1+(n-1)d}$

Where $\displaystyle \large{a_n}$ is the nth term, $\displaystyle \large{a_1}$ is the first term and $\displaystyle \large{d}$ is the common difference:

So for our general term:

$\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}$

And for number of terms, substitute $\displaystyle \large{a_n}$ = 251 and solve for n:

$\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}$

Now we can convert the series to summation notation as given the formula above, substitute as we get:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

5 0

2 years ago