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Svetradugi [14.3K]
3 years ago
15

Please answer this quickly pleaaase

Mathematics
2 answers:
Y_Kistochka [10]3 years ago
7 0

Answer:

29/36

Step-by-step explanation:

Let n = some number

5n - 7/12 = 4n + 2/9

Subtract 4n from each side

5n-4n  - 7/12 = 4n-4n +2/9

n - 7/12 = 2/9

Add 7/12 to each  side

n -7/12 +7/12 = 2/9+7/12

n = 2/9 +7/12

We need to get a common denominator of 36

2/9 * 4/4 = 8/36

7/12 * 3/3 = 21/36

2/9+ 7/12

8/36+21/36

29/36

skelet666 [1.2K]3 years ago
4 0

Answer:

y = 29/36

Step-by-step explanation:

let the number be y

5×y - 7/12 =4×y + 2/9

5y - 7/12 = 4y + 2/9

combine the like terms

5y - 4y = 2/9 + 7/12

y = 2/9 + 7/12

find the LCM of 9 and 12

which is 108

make 2/9 and 7/12 a single fraction

y = 2<u>4 + 63</u>

         108  

y = 87/108

y = 29/36

I divided by 3

Hope it helps.

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Answer:

The answer is option (C)=an-1+7

Step-by-step explanation:

A recursive rule is a formula that in which each term is expressed as a function of its preceding term(s), meaning in order to get to the nth term you have to express it in a form of the term that comes before it. In our case the a(n-1) term

So for the sequence -9, -2, 5, 12

The nth term is any number on the sequence and

  • -2 is the a(n-1) term for -9
  • 5 is the a(n-1) term for -2
  • 12 is the a(n-1) term for 5

So we need to find out what we have to do to the preceding term to get the next.

To get -2 from -9 we have to add 7 to -9; -9+7=-2

To get 5 from -2 we have to add 7 to -2; -2+7=5

To get 12 from 5 we add 7 to 5; 7+5=12

So the recursive rule would be= a n-1+7

5 0
3 years ago
Annual starting salaries for college graduates with degrees in business administration are generally expected to have a populati
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Answer:

A sample of 139 should be taken.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Population standard deviation of $3,000.

This means that \sigma = 3000

How large a sample should be taken if the desired margin of error is $500?

A sample of n is needed.

n is found when M = 500. So

M = z\frac{\sigma}{\sqrt{n}}

500 = 1.96\frac{3000}{\sqrt{n}}

500\sqrt{n} = 1.96*3000

Dividing both sides by 500

\sqrt{n} = 1.96*6

(\sqrt{n})^2 = (1.96*6)^2

n = 138.3

Rounding up:

A sample of 139 should be taken.

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3 years ago
The partial factorization of x2 – 3x – 10 is modeled with algebra tiles. An algebra tile configuration. 1 tile is in the Factor
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2 positive unit tiles are needed to complete the factorization.

Given

The partial factorization of x^2 – 3x – 10 is modeled with algebra tiles.

<h3>Partial factorization;</h3>

Partial fractions are the fractions used for the decomposition of a rational expression.

When an algebraic expression is split into a sum of two or more rational expressions, then each part is called a partial fraction.

In the second line, we can see that first term 1 is labeled + x squared, second is labeled +<u> </u><u>2x</u><u> (two positive </u><u>tiles </u><u>above),</u> then the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative.

The negative values are represented as tiles labeled below (negative tiles) while positive values are tiles labeled above (positive tiles).

Therefore,

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Hence, 2 positive unit tiles are needed to complete the factorization.

To know more about Partial factorization click the link given below.

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4 0
2 years ago
Solve 5x^3 - 3x^2 - 14x
Pie
<h3>I’ll teach you how to solve 5x^3 - 3x^2 - 14x</h3>

--------------------------------------------------------

5x^3 - 3x^2 - 14x

Factor out the common term x:

x(5x^2 - 3x 14)

Factor 5x^2 - 3x 14:

Break the expression into groups:

(5x62+7x)+(-10x-14)

Factor out x from 5x^2+7x:

x(5x+7)

Factor out -2 from -10x-14:

-2(5x+7)

x(5x+7)-2(5x+7)

Factor out the common term 5x+7:

(5x+7)(x-2)

x(x+7)(x-2)

Your Answer Is x(x+7)(x-2)

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