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DochEvi [55]
3 years ago
9

FInd three consecutive even integers such that three times the smallest is four more than twice the largest

Mathematics
1 answer:
Oksanka [162]3 years ago
4 0

n, n + 2, n + 4 - three consecutive even integers

3n = 2(n + 4) + 4     |use distributive property

3n = (2)(n) + (2)(4) + 4

3n = 2n + 8 + 4

3n = 2n + 12    |subtract 2n from both sides

n = 12

n + 2 = 12 + 2 = 14

n + 4 = 12 + 4 = 16

Answer: 12, 14, 16.

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Determine whether the improper integral converges or diverges, and find the value of each that converges.
Temka [501]

Answer:

It diverges.

Step-by-step explanation:

We are given the inetegral:  \int\limits^{\infty}_2 \frac{1}{x} (\ln x)^2 dx

\int\limits^{\infty}_2 \frac{1}{x} (\ln x)^2 dx=\int\limits^{\infty}_2 (\ln x)^2 d(\ln x)=\\\\=\lim_{t \to \infty} \int\limits^t_2 (\ln x)^2d(\ln x)=\lim_{t \to \infty} \frac{(\ln t)^3}{3} |^t_2=\infty-\frac{(\ln 2)^3}{3} =\infty

So it is divergent.

7 0
3 years ago
Samuel and Zander together have $392. Samuel has six times as much money as Zander. How much does each have? Please help! Quick
Shalnov [3]

Answer:

Samuel has $336 and Zander has $56

Step-by-step explanation:

Samuel = 6x because he has 6 times Zander

Zander = x

Together they have 392

6x + x = 392

7x = 392

Divide both sides by 7

x = 56

Samuel = 6 x 56 = 336

Zander = 56

336 + 56 = 392

3 0
3 years ago
A taco cart sells burritos for 3$ and tacos for 2$.on a busy afternoon,486 items were sold worth a total of 1218$.How many burri
Pavel [41]
Answer:

246 burritos and 240 tacos
8 0
2 years ago
I need help with this please help me
AveGali [126]
Sorry i cant help you sorry
3 0
3 years ago
The cost of a ticket to the circus is $11.00 for children and $36.00 for adults. On a certain day, attendance at the circus was
tangare [24]

Answer:

500 childrens tickets

600 adults tickets

Step-by-step explanation:

$11.00 * 500 = 5,500

$36.00 * 600 = 21,600

21,600 + 500 = 27,100 tickets sold

5 0
3 years ago
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