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11Alexandr11 [23.1K]
2 years ago
7

(6n – 7) + (8n + 2) = 23

Mathematics
2 answers:
Dovator [93]2 years ago
7 0

Answer:100

Step-by-step explanation:

2!2

Bad White [126]2 years ago
4 0

Answer:

n = 2

Step-by-step explanation:

(6n - 7) + (8n + 2) = 23 (Combine like terms)

14n  - 5 = 23 (Add 5 from both sides)

14n = 28 (divided 14 from both sides)

n = 2

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How do you solve 6 1/2 x 16?​
balu736 [363]

Answer:

Step-by-step explanation:

Make 6 1/2 an irrational fraction: 13/2 (I dunno know if its called that )

divide 16 by 2: 8

multiply that by 13: 104

Tell me if this helps or not bc I'm not really sure, but I really hope I helped!

5 0
2 years ago
Find the first term, a1, of an arithmetic sequence if a12 = 38 and a45 = 170.
snow_lady [41]
Standard formula for arithmetic sequence:
an = a0 + d(n-1)

if we use the two terms given, setting a12 as starting term and a45 as the end term an.

170 = 38 + 33d 
170 - 38 = 33d
132 = 33d

132/33 = d
This is the common difference, use it to find the first term.

38 = a0 + (132/33)(12-1)
38 = a0 + (132/33)(11)
38 = a0 + 132/3
38 - 132/3 = a0
38 - 44 = a0
-6 = a0

The starting term is -6

8 0
3 years ago
Lunch break: In a recent survey of 655 working Americans ages 25-34, the average weekly amount spent on lunch was $43.5
Inga [223]

Using the Empirical Rule, it is found that:

  • a) Approximately 99.7% of the amounts are between $35.26 and $51.88.
  • b) Approximately 95% of the amounts are between $38.03 and $49.11.
  • c) Approximately 68% of the amounts fall between $40.73 and $46.27.

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

The Empirical Rule states that, in a <em>bell-shaped </em>distribution:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

-----------

Item a:

43.5 - 3(2.77) = 35.26

43.5 + 3(2.77) = 51.88

Within <em>3 standard deviations of the mean</em>, thus, approximately 99.7%.

-----------

Item b:

43.5 - 2(2.77) = 38.03

43.5 + 2(2.77) = 49.11

Within 2<em> standard deviations of the mean</em>, thus, approximately 95%.

-----------

Item c:

  • 68% is within 1 standard deviation of the mean, so:

43.5 - 2.77 = 40.73

43.5 + 2.77 = 46.27

Approximately 68% of the amounts fall between $40.73 and $46.27.

A similar problem is given at brainly.com/question/15967965

8 0
2 years ago
Read 2 more answers
Find the volume of a cube with edges measuring 9ce
IceJOKER [234]

Answer:

<h2>V = 729</h2>

Step-by-step explanation:

The formula of a volume of a cube with an edge <em>a</em>

<h3>V = a³</h3>

We have <em>a </em>=<em> </em>9 . Substitute:

<h3>V = 9³ = 9 · 9 · 9 = 729</h3>
6 0
3 years ago
Use the following for long division x^2+3x+1sqrt 3x^4+7x^3+2x^2+13x+5
goldenfox [79]
In plain text, it is appropriate to express the division using a division bar (/) and parentheses around the numerator and denominator:
  (3x^4 +7x^3 +2x^2 +13x +5)/(x^2 +3x +1)

It is best to reserve the square root symbol (√) for an actual square root.

Your quotient is
  3x^2 -2x +5

8 0
3 years ago
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