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Alisiya [41]
3 years ago
5

what is the algebraic equation 3 times the sum of a number and 7 is 2 less than five times the number

Mathematics
1 answer:
stealth61 [152]3 years ago
7 0
Let n = number

"3 times the sum of a number and 7" translates to 3(n + 7)

"2 less than five times the number" translates to 5n - 2

The word "is" becomes the equals sign.

3(n + 7) = 5n - 2

I think you already asked this one. 
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What answer is this?
klemol [59]

Answer:

option B

\frac{31}{50}-\frac{4}{25} i

Step-by-step explanation:

Given in the question a complex fraction

<h3>Step1</h3>

To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

\frac{5+4i}{6+8i}(\frac{6-8i}{6-8i})

<h3>Step2</h3>

Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

\frac{30+24i-40i-32i²}{36-64i^{2} }

<h3>Step3</h3>

Simplify the powers of i, specifically remember that i² = –1.

\frac{62-16i}{36+64}

<h3>Step4</h3>

\frac{62}{100}-\frac{16i}{100}

<h3>Step5</h3>

simply

\frac{31}{50}-\frac{4}{25}i

8 0
4 years ago
What would be the correlation coefficient (r) of the following scatter plot?
luda_lava [24]

Answer:

-0.89 (i think)

Step-by-step explanation:

Since the graph seems to be going downwards from the right, it has a negative correlation. And since the data seems to be pretty close together, the correlation must be strong. That narrows the answer down to -0.89

If its wrong then i'm not a smart person, and it's -0.15

8 0
2 years ago
9(2x-1)=3(x+2)+3x  solve the equation thanks so much for your help guys or girls you have no idea how helpful it is :)
stealth61 [152]
9(2x-1)=3(x+2)+3x

18x-9=3x+6+3x

18x-9=6x+6

18x-6x=6+9

12x=15

x=15/12

x=5/4
5 0
3 years ago
Molly Invests $8,600 into her son's college fund, which earns 3% annual interest
8_murik_8 [283]

Answer:

n= 13.8 years

Step-by-step explanation:

<u>First, we need to determine the daily interest rate:</u>

Daily interest rate= 0.03 / 365

Daily interest rate= 0.000082

<u>Now, using the following formula we can determine the number of days and years:</u>

n= ln(FV/PV) / ln(1+i)  

n= ln(13,000 / 8,600) / ln(1.000082)

n= 5,039 days

<u>In years:</u>

n= 5,039/365

n= 13.8 years

7 0
3 years ago
What is the square number of 13 27 81 21 43 48 23 39 45
Burka [1]

if you add them all its 340 and the square number is 9

4 0
3 years ago
Read 2 more answers
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