1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gelneren [198K]
3 years ago
9

Please show steps and explain

Advanced Placement (AP)
1 answer:
AlexFokin [52]3 years ago
6 0

Answer:

\frac{n-6}{3n} = \frac{n-5}{3n+1} \\\\\frac{n-6}{3n} - \frac{n-5}{3n+1} = 0\\\\\frac{(3n+1)(n-6)-3n(n-5)}{3n(3n+1)} = 0\\\\(3n+1)(n-6)-3n(n-5) = 0\\\\3n^2-18n+n-6-3n^2+15n=0\\\\3n^2-3n^2-18n+n+15n-6=0\\\\-2n-6=0\\\\2n+6=0\\\\2n=-6\\\\n=-3

You can solve this equation by applying the zero product rule.

Firstly, you equate the expression to 0 in order to combine both fractions into one. As shown in Step 2, you find the LCM of both fractions and multiply accordingly. In this case, the LCM of both fractions is 3n(3n+1). Hence you cross multiply.

Next, you eliminate the denominator in order to solve the equation more conveniently. As you multiply the fraction by the denominator on the LHS, you do that to the RHS as well to maintain balance. 0×3n(3n+1)=0, hence Step 3.

Then, you expand the parentheses using the distributive law of multiplication, resulting in a quadratic equation.

Lastly, you solve the quadratic equation.

The answer is n=-3

You might be interested in
URGENT EXTRA POINTS
ss7ja [257]

Answer:

1.6% growth rate

43.75 years = doubling time.

Explanation:

40-24 = 1616/1000 = 0.016 x 100 = 1.6% growth rate

70/1.6 = 43.75 years = doubling time.

8 0
2 years ago
Pinangunahan ng mga dominican ang pagmimisyon sa pilipinas.​
Art [367]

Answer:

<h3>-TAMA</h3>

Explanation:

#i hope it's help!!

3 0
3 years ago
Sherman wants to apply to an animal welfare agency as a photographer. Which kind of photos should Sherman include in his résumé?
Murrr4er [49]
C. Shots of various animals would be the best answer. Since Sherman is applying to an welfare agency as a photographer, the other options wouldn’t make as much sense.


Hope this helps
6 0
3 years ago
How did the plantation economy increase the demand for slaves?
babunello [35]
Slavery in Africa continued both the traditional incorporation of slaves into households and the export of slaves to the Mediterranean and the Indian Ocean. The growth of the plantation economy increased the demand for slaves in the Americas. ... D. Colonial economies in the Americas depended on a range of coerced labor.
8 0
3 years ago
What’s the meaning of life
Amiraneli [1.4K]

Answer:

The answer of life is what you make of it.

Explanation: Live your life to the fullest.

4 0
3 years ago
Other questions:
  • Eliza remembers her grandfather telling the story of how he met her grandmother 50 years ago. Eliza’s grandpa has these memories
    12·2 answers
  • Please help me out.... I really need it.....
    14·2 answers
  • ANYONE GOOD AT PSYCOLOGY?! I NEED HELP
    11·1 answer
  • Find slope between (-4,0) (-2,2)
    13·1 answer
  • In the exosphere the atmosphere is very what as it begins to fade into space
    5·1 answer
  • A cell is observed to shrink after being immersed in an unknown solution. Would you predict that this solution was a highly conc
    14·2 answers
  • In your own words, what is the principle of utility?
    8·1 answer
  • You are given a box of 100 silver dollars, all facing "heads" up. You are instructed to shake the box 3 times; after each shake,
    10·1 answer
  • Erin has weak feelings of ethnic identity with her Scottish heritage and a strong sense of acculturation with the United States,
    13·1 answer
  • State 10 importance of orderliness.<br>pls it's urgent.​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!