Consecutive numbers follow one right after the other. An example of three consecutive numbers is 17, 18, and 19. Another example is -100, -99, -98. How many sets of two or more consecutive positive integers can be added to obtain a sum of 100? What are they?
help pls

Answers

Answer 1
I would say none because if you try to find numbers that add up to 100 you won’t find them as integers. The answer is either no sets at all or you can do numbers that are consecutive like 32 1/3 , 33 1/3 and 34 1/3 . They all add up to 100 but I’m not sure cause they’re not full numbers so they’re not integers.
Answer 2

The solution is 32 1/3 , 33 1/3 and 34 1/3

The three consecutive numbers which have a sum of 100 is given by the equation A = 32 1/3 + 33 1/3 + 34 1/3

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be = n

Let the second number be = n + 1

Let the third number be = n + 2

So , the sum of all the three consecutive numbers is 100

Substituting the values in the equation , we get

n + ( n + 1 ) + ( n + 2 ) = 100   be equation (1)

On simplifying the equation , we get

3n + 3 = 100

Subtracting 3 on both sides of the equation , we get

3n = 97

Divide by 3 on both sides of the equation , we get

n = 32 1/3

So , the first number n = 32 1/3

Second number = n + 1 = 33 1/3

Third number = n + 2 = 34 1/3

Therefore , A = 32 1/3 + 33 1/3 + 34 1/3 = 100

Hence , The three consecutive numbers which have a sum of 100 is given by the equation A = 32 1/3 + 33 1/3 + 34 1/3

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Related Questions

p= 4d-3
work out the value of P when d=2​

Answers

Answer:

p=5

Step-by-step explanation:

p = 5_______________

Step-by-step explanation:

d = 2 ------ ( given )

p = 4d - 3

p = 4 × 2 - 3

p = 8 - 3

p = 5_______________FOLLOW ME

someone wanna help me fill this out? ​

Answers

Answer:

what is it?

Step-by-step explanation:

Line A passes through the points (-4, 3) and (-2, -1). Line B passes through the points (-4, 4) and (-5, 7). At what point do the lines intersect?

Answers

Answer:

he

Step-by-step explanation:

njducnekm sjdnbdis djsbsj susbshd dbid

Amit works for 35 hours and earns £8 per hour.
On Saturday he works for an extra 5 hours and receives 25% extra pay for these hours worked.
Work out the total amount of money that Amit will receive this week.

Answers

Answer:

the total amount received by him is £330

Step-by-step explanation:

The computation of the total amount of money that he received is shown below:

For 35 hours, he earns = 35 ×£8 per hour = £280

For extra 5 hours, he earns = 5 × (£8 × 1.25) = £50

Hence, the total amount received by him is £330

what's the value of
[tex] \sqrt{2048} [/tex]
chess ?​

Answers

Answer:

Root of 2048. [Root of two thousand forty-eight] . square root. 45.2548. cube root. 12.6992. fourth root. 6.7272. fifth root. 4.5948.

Answer:

32√2

Step-by-step explanation:

√2048 = √2^11

            = 32√2

Question 8

Ramon solves a linear equation. One of the steps in his work is 53 = 477

Which of these describes the solution to the equation that Ramon solves?

A

The equation has no solution

The equation has a solution of = =9

С

The equation has a solution of c = 424

D

The equation has infinitely many solutions,

Answers

Answer:

If Step is 53 = 477 then no solution exist

If Step is 53 x = 477 then there exist a unique solution x = 9

Step-by-step explanation:

Given - Ramon solves a linear equation. One of the steps in his work is

             53 = 477

To find - Which of these describes the solution to the equation that Ramon

              solves?

Proof -

As given, One of the steps in his work is 53 = 477

There are 2 cases possible -

Case I:

If his step is 53 = 477

Then, the equation has no solution because 53 ≠ 477

Case I:

If his step is 53 x = 477

Then, the equation has a solution because x = [tex]\frac{477}{53}[/tex] = 9

⇒The equation has a solution of x = 9.

XYZ will be translated so that the coordinates of X are (5,11)

Answers

Answer: B

Step-by-step explanation:

Tacos from the taco truck or 60% off on Tuesdays Erica by the taco for 1.50 on Tuesday she wants to know the regular price of a taco quick answer

Answers

Answer:

3.75

Step-by-step explanation:

i did the lesson its correct :)

Answer:

Regular Price: 100%

                       $3.75

Sale price:    40%

                   $1.50

Discount:

60%

$2.25

Which equation can be used to find the regular price, r, of a taco?

1.5 = 0.4r

Step-by-step explanation:

Read the answers correctly, or you might be typing in the wrong answer.

Everything is all correct, Thank me later :)

Samantha runs 3 miles every 2 days. How many days would it take her to run 24 miles

Answers

Answer:

16

Step-by-step explanation:

3 miles = 2 days

24 miles = ? days

24 / 3 = 8

8 x 2 = 16

Answer:

16 days

Step-by-step explanation:

[tex]\frac{3}{2}[/tex] to represent the relationship from miles to days

[tex]\frac{3}{2}[/tex]=[tex]\frac{24}{x}[/tex]

3 x 8 = 24

so do the same thing to 2

2 x 8 = 16 days

please help best anwser gets brainly anwser the 2 question no work needed​

Answers

Answer: 16⁹ and False.

Step-by-step explanation:

Answer:

B ,false

Step-by-step explanation:

please help ._. i’ll give brainliest-

Answers

Answer:

it equals .85 hope this helps!

Step-by-step explanation:

The normal price of a computer game is £40
The price is reduced by 1/2 in a sale.
Work out the price of the computer game in the sale.

Answers

Answer:

The answer is £20

Step-by-step explanation:

Since the game is half-priced, we just have to divide the original price by 2.

£40/2 = £20

1. What is (6^1/2 x3/4 simplified?

Answers

Answer:

1/ 6

Step-by-step explanation:

Benita buys 2 shirts for the same price, s. The sales tax rate is 6.5%.


Write an expression to represent the total cost of the shirts in two different ways.


Enter the correct answers in the boxes.

Answers

Answer:

2S + 0.065(2S)

Step-by-step explanation:

Since S is the price of a shirt, the price of two shirts would be 2 x S = 2S

a tax is a compulsory sum levied on goods and services. tax increases the price of a good

The price of the 2 shirts would increase by the amount of tax ; 0.065(2S)

This gives = 2S + 0.065(2S)

Alternatively, since two shirts were purchased, the amount of tax would be twice 0.065 - 0.13 - S + S + 0.13S

We want to write two expressions that represent the total cost of the shirts, the expressions are:

Cost = P*(1.065) +  P*(1.065)

cost = P*2.13

We know that Benita buys two shirts for the same price, P.

Then at this moment. the total cost is just:

cost = 2*P

Now we apply a 6.5% tax, then the price increases by 6.5%, this is written as:

P' = P*(1 + 6.5%/100%) = P*(1.065)

Then the total cost is twice that amount, written as:

Cost = P*(1.065) +  P*(1.065)

This can be one of the two expressions.

Now to get the other expression, we just simplify the above one:

cost = 2*P*(1.065) = P*2.13

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PLS ASSAAAAPPP IMMA CRY( MAY U PLS SHOW HOW TO DO IT LIKE THE WORK)!!
Darwin's house is located on the edge of a park. He leaves his house and walks north along the edge of the park for 5 blocks. He turns and walks 12 blocks west in the park. He then walks directly back to his house in a straight line across the park. Determine the total distance of his trip. HINT: you must find the length of the hypotenuse

Answers

Answer:

here you go

Step-by-step explanation:

The average of six numbers is 4. If the average of two if those numbers is 2,what is the average of the other 4 numbers?

Answers

Answer: Average of other 4 numbers =5

Step-by-step explanation:

Sum of n numbers = Average of n numbers x n

Given: Average of 6 numbers =4

so sum of 6 numbers  = 6x 4 = 24

Average of 2 numbers = 2

Sum of 2 numbers = 2 x 2 =4

Sum of rest of 4 numbers = sum of 6 numbers  - Sum of 2 numbers

= 24-4

=20

Average of 4 numbers = [tex]\dfrac{20}{4}[/tex]

i.e. Average of 4 numbers =5

He is ordering the pizzas from a place that has 12 different topping options.
7 options are vegetarian and 5 are meats.
Write the ratio of vegetarian options to the total of options in three different ways

Answers

Answer:

7:5, 7/5, 7 to 5

Explanation:

I think you're asking of this?? If not lmk

I really need help
8.
On what intervals are the function's values positive?
10.
What are the zeros of the function?

Answers

Answer:

See step by step

Step-by-step explanation:

To find if a function intervals are possible, make sure the points are above the x axis.

The graph is getting positve around x=-3 but it isn't positive yet.

The graph is positve until x=-1

The graph becomes positive again again at x=2 and is positive infinitely forever.

So let set up our interval

We are going to start at -3 since that where it start getting positive, we then going to use the greater than sign since it get positve as we go to the right as of right now. We use the greater than becuase we are not going to include -3 as our solutions.

We then use a less than sign since the answer must be less than -1 becuase around-1 it start getting negative.

It becomes positive again at x=2 so since we going to left to right use the greater than sign becuase we are not including 2.

It infinitely becomes positive so our interval is x must be cause greater than w becuase it can be any interval greater than two.

[tex] - 4 > x < - 1[/tex]

and

[tex] 2 < x[/tex]

The roots or zeroes are the x intercept of the graph,(when y=0, what is the x value.)

The x intercepts are -3 and 2.

a
A retailer marks up the price of a coffee mug from $6.25 to $8.77. By what percent did the price increase? Round to
two decimal places.
28.73%
b. 39.68%
C. 40.32%
d. 45.97%

Answers

Answer:

c.  40.32%

Step-by-step explanation:

The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?

Answers

Answer:

Yes, this is a right triangle.

Step-by-step explanation:

If you look more closely, you can notice that it is a 3-4-5 Pythagorean triple and it was multiplied by 3 to get 9-12-15.

Or you can do it using the Pythagorean Theorem directly:

9^2 + 12^2 = 15^2

and that is true.

Answer:

yes it is.

Step-by-step explanation:

pythagorean theorem. A^2 + B^2 = C^2

Ex 9^2 + 12^2 = 15^2

What is the value of b?

A.6
B.2sqr 13
C.3sqr13
D.3sqr14

Answers

Answer:

En este caso 70 ° y 20 ° son complementarios porque 70° + 20° = 90°.

Más ejemplos podrían ser 47° y 43°, ya que 47° + 43° = 90°, 30° y 60°, 45° y 45° , etc.

Dos ángulos son suplementarios si su suma forma un ángulo llano, es decir, 180°.

What is the greatest common factor of 48, 24, and 32?

Answers

Answer:

8

Step-by-step explanation:

Answer:

It is 2

Step-by-step explanation:

The greatest common factor is 2 because 2×16=32

also works for 24 because 2×24=48

then yes it works again for 2×12=24

division is also very helpful

Cincinnati is about 225 miles from Cleveland. What is the distance between these cities on the map?


10 millimeters = 25 miles

Answers

Answer:90

Step-by-step explanation:

The distance between these cities on the map is 90 mm.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Cincinnati is about 225 miles from Cleveland and on scale 10 millimetres is equal to 25 miles.

The distance on the map will be calculated as,

25 miles = 10 mm

1 mile = 10 / 25 mm

225 miles = ( 225 x 10 ) / 25

225 miles = 90 mm

Therefore, the distance between these cities on the map is 90 mm.

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David has 1,327.00 on his checking account. if he writes a check for 1,987.00, what will David's balance be
With solution po​

Answers

Answer:

-$660.00

Step-by-step explanation:

1327-1987= -660

What is the slope of the line that passes through the points (3, 4) and (-8, -2)?

Answers

Answer:

6/11

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-4)/(-8-3)

m=-6/-11

m=6/11

Please help!! Is this equation linear? Why or why not?

Answers

Answer:

Yes it is linear because the line is straight and constantly declining.

Step-by-step explanation:

Answer:

Yes it is linear

Step-by-step explanation:

Basically the same thing the other one said lol. good luck!

In the diagram, which angle is an alternate exterior angle with angle 4?

Answers

6 is alternate exterior angle with angle 4

Answer:

6

Step-by-step explanation:

Priya has a recipe for banana bread. She uses 7.5 cups of flour to make 3 loaves of banana bread. How much flour does Priya need to make 1 loaf of bread?

Answers

Answer:

It would take 2.5 cups of flour to make 1 loaf of bread.

Step-by-step explanation:

You would 7.5 divided by 3 to get how much it would take for 1 loaf of bread.

7.5/3 = 2.5

it would take 2.5 cups of flour to make 1 loaf of bread.

help please asap!!!!!

Answers

Answer:

3rd answer

Step-by-step explanation:

It is an open circle and it has to be less than 15 and since it is a positive it is to the right

Which expression is equivalent to 4(5 − 3)

9 − 3

8x

20 − 12

8 + 1

Answers

The correct answer is 20- 12
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