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
kati45 [8]
2 years ago
11

[50 pts] An even number, n, times the next consecutive number, n + 2, is equal to 168. Find the original number.

Mathematics
1 answer:
ale4655 [162]2 years ago
4 0

<u>We are given:</u>

An even number 'n', multiplied by the next consecutive even number is 168

<u>Solving for n:</u>

From the given statement, we can say that:

n(n+2) = 168                      [<em>n multiplied by the next even number 'n+2'</em>]

n² + 2n = 168

n² + 2n - 168 = 0               [<em>subtracting 168 from both sides</em>]

We can see that we now have a quadratic equation, solving using splitting the middle term

n² + 14n - 12n - 168 = 0

n(n + 14) -12(n + 14) = 0      <em>[factoring out common terms</em>]

(n-12)(n+14) = 0

Here, we can divide both sides by either (n-12) OR (n+14)

Checking the result in both the cases:

(n + 14) = 0/(n-12)                     (n-12) = 0/(n+14)

n + 14 = 0                                 n - 12 = 0

n = -14                                      n = 12

Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n

You might be interested in
James has a board that is 3/4 foot long. He wants to cut the board into pieces that are each 1/8 foot long. How many pieces can
IrinaK [193]

Answer:

6 pecies

Step-by-step explanation:

You divide 3/4 and 1/8 to get your answer.

7 0
3 years ago
HELP I NEED HELP ASAP
jarptica [38.1K]

Answer:

A

Step-by-step explanation:

tsgsgsgs sorry if wrong

8 0
2 years ago
Read 2 more answers
1-P(not X) is the same as
noname [10]

Answer:

idk sorry

Step-by-step explanation:

6 0
3 years ago
Find the angle of XYZ. Give your answer to one decimal place
Mariulka [41]

Answer:

72.9 degrees

Step-by-step explanation:

First we need to calculate the hypothenuse with the teorem of Pythagoras. ZY = sqrt(13^2+4^2) = 13.6 cm. sqrt stands for square root.

The we calculate the cosine of our angle (we could use the sine but I'll use the cosine here, the method is a little different with the sine). For the cosine divide the adjacent side by the hypothenuse: 4/13.6 =0.294

then we use the cos^-1 function on the calculator , so cos^-1(0.294) =72.897 =72.9 degrees.

I hope this helped

5 0
3 years ago
Read 2 more answers
41=5y-9. I need this for my test :/
Ghella [55]
Y=10 just add 9 to 41 the divide by 5
7 0
2 years ago
Read 2 more answers
Other questions:
  • The volume, V, of any cube with a side length, s. can be determined using the forma
    14·1 answer
  • Find the average of these numbers. 23, 24, 27, 25, 26, 23, 21, 32, 29, 30
    15·2 answers
  • Jose wants to find how many gallons of water he needs to fill his cube shaped aquarium. one side of his aquarium is 4 feet long.
    14·1 answer
  • List the following numbers in descending order.<br><br> 13.5%, 1315, 13.09, 13
    9·2 answers
  • Please help will vote brainlest
    14·1 answer
  • Which best describes the triangle or triangles, if any, that can be formed with sides
    12·1 answer
  • Ayne evaluated an expression that has a value of StartFraction 1 Over 729 EndFraction. Which expression could Jayne have evaluat
    15·1 answer
  • What is 1% of 70? <br><br> 1.4<br> 0.8<br> 0.7<br> 0.9
    10·2 answers
  • The width of a vegetable garden is
    9·2 answers
  • PLEASE HELP!!!!!!!!! ASAP!!!!! I REWARD BRAINLIEST!!!! HAVE CLASS IN 30 MINUTES!1111
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!