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
artcher [175]
2 years ago
9

How many sets of two or more consecutive positive integers can be added to obtain a sum of 1800?

Mathematics
1 answer:
Nataliya [291]2 years ago
4 0

Answer:

n = 60

Step-by-step explanation:

GIVEN DATA:

Total sum of consecutive number is 1800

sum of n number is given as

sum = \frac{ n(n+1)}{2}

where n is positive number and belong to natural number i.e 1,2,3,4,...

from the data given we have1800 = \frac{n(n+1)}{2}

solving for n we get

[/tex]n^2 + n -3600 = 0[/tex]

n = 59.5, -60.5

therefore n = 60

You might be interested in
A 50 foot rope weighing a total of 32 lbs extended over a cliff that is 35 feet to the ground. A large 8 pound bucket with 19 ga
larisa86 [58]

Answer:

A function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is W=16(50-x)+(19-\frac{x}{5})(8.3)x and  the work to get the bucket to the top of the cliff is 3726 foot-lbs

Step-by-step explanation:

Work done to lift the rope by distance x feet:

W_1=32(\frac{50-x}{2})

Work done to lift the bucket by distance x feet:

W_2=(19-\frac{x}{5})(8.3)x

On reaching top 7 gallons of water spilled out so , on going up by x feet \frac{7x}{35}=\frac{x}{5} gallons of water spilled out.

a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground:

W=16(50-x)+(19-\frac{x}{5})(8.3)x

Now the work to get the bucket to the top of the cliff i.e. x =35

W=16(50-35)+(19-\frac{35}{5})(8.3)(35)

W=3726

Hence, a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is W=16(50-x)+(19-\frac{x}{5})(8.3)x and  the work to get the bucket to the top of the cliff is 3726 foot-lbs

5 0
2 years ago
-6-5(4+3n)=-7(n+2)-6n
Romashka-Z-Leto [24]

Answer:

n=-6

Step-by-step explanation:

4 0
3 years ago
3x=54<br> Find a value for x that will make this equation true.
Luda [366]
A possible answer for x would be 18
4 0
2 years ago
Read 2 more answers
What is 525/1000 in simplest form?
KiRa [710]
525/1000 = 105/200 = 21/40
8 0
3 years ago
Nknjjhbvyugvtfituyjnjjjjjnnnnj
-Dominant- [34]

Answer:

indeed

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Charlie buys a cake for $23.99 and 6 bags of balloons. About how much money does he spend?
    14·2 answers
  • WILL MARK BRAINLIST<br><br> 10 to the power of 4 =
    14·2 answers
  • A right rectangular prism has a length of 10 centimeters, a width of 2.5 centimeters and a height of 0.9 centimeters what is the
    14·1 answer
  • Ima need this in right now
    15·1 answer
  • A teacher had a class party. After the party she had 11 empty soda bottles. Her students brought in 50 bottles of soda in all.
    6·2 answers
  • A diver is on a springboard that is 3 meters above the surface of the pool. Another diver is 2 meters below the surface of the p
    11·1 answer
  • HELP ASAP<br> write a formula for quadratic equation if its graph has the vertex at point (1/3, -3)
    11·1 answer
  • What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
    9·1 answer
  • There are 10 board members on the Community Arts Council. In how many ways can a president and treasurer be chosen
    14·1 answer
  • The table below shows how the age of a certain tree is related to the diameter
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!