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
Marianna [84]
3 years ago
6

The sum of consecutive integers 1,2,3,...,n is given by the formula 1/2n(n+1). How many consecutive integers, starting with 1, m

ust be added to get the sum of 1081
Mathematics
1 answer:
LuckyWell [14K]3 years ago
7 0

1/2 * n * (n+1) = 1081

distribute

1/2 n^2 +1/2n -1081=0

factor out 1/2

1/2 (n^2 +n -2162) =0

multiply each side by 2

(n^2 +n -2162) =0

factor

(n-46) (n+47) =0

n=46, n=-47

n cannot be negative

n=46

Answer 46


You might be interested in
If =250, then 50% of n equals
qwelly [4]

If n=250, then 50% of n can also be described as n divided by 2.

50% of n = 250/2 = 125

answer: 125

5 0
3 years ago
Read 2 more answers
The expression (x-6)2is equivalent to
Marizza181 [45]

(x - 6) * 2

I'm assuming this is the expression that you typed out, if it isn't, please let me know in the comments :)

Use the distributive property:

= 2(x) - 2(6)

Multiply and simplify

= 2x - 12

This should be the expression that is equivalent to the original. Let me know if you need any clarifications, thanks!

5 0
3 years ago
What is the value of x? enter your answer in the box
IRISSAK [1]

Answer:

I'm not 100% positive that my answer is remotley correct but I would say 25.

Step-by-step explanation:

and if that is you in your profile pic, you are very pretty.

I hope my answer helps!

5 0
3 years ago
Simplify the expression:<br> 2a+4b=9c
fomenos

Answer:

a=\frac{9c}{2}-b

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

4 0
2 years ago
Read 2 more answers
(219,379.01 - x) / x = .3321
Ivahew [28]

Answer:x = 164686.592598

Step-by-step explanation:

219379.01−x/x = 0.3321

−x+219379.01/x = 0.3321

Step 1: Multiply both sides by x.

−x+219379.01≈0.3321x

−x+219379.01 − 0.3321x = 0.3321x−0.3321x (Subtract 0.3321x from both sides)

−1.3321x + 219379.01 = 0

−1.3321x + 219379.01 − 219379.01 = 0 − 219379.01 (Subtract 219379.01 from both sides)

−1.3321x = −219379.01

−1.3321x/−1.3321 = −219379.01/−1.3321

(Divide both sides by -1.3321)

x = 164686.592598

6 0
3 years ago
Read 2 more answers
Other questions:
  • Use algebra to solve 3x + 4 = 1/x . The exact solutions are x =
    14·1 answer
  • Which is the same as 98.52 ÷ 10?
    13·1 answer
  • PLEASE HELP ASAP!!!
    5·1 answer
  • How much more is 1.8 • 10^11 greater than 7.2 • 10^10
    14·1 answer
  • Convert the number to standard form.<br><br> 8.71 xx10^(12)
    11·1 answer
  • The Falcons ran 10 yards, lost 15 yards, then ran 5 yards. What was the Falcons total gain/loss?
    13·1 answer
  • Natalie paid $14.99 to join an online music service. If she purchases 9 songs each month at a cost of $0.99 per song, what will
    14·2 answers
  • 43% of a sample of 100 visitors to a national park believes that additional funds should be used to preserve endangered species.
    9·1 answer
  • A metallurgist wants to make 130 grams of an alloy that is to be 20% copper. She has samples that are 14% copper and 22% copper.
    8·1 answer
  • 7 + 6d + 5f use d = 3 and f = 9
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!