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

a) Draw the graph of y = 4x - 1
on the grid.

o
b) Use the graph to estimate the
value of x when y = 1



Answers

a) The graph of y = 4x - 1 is shown in attached image.

b) By using the graph at y = 1 the value of x is 1/2.

What is Linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The function is,

y = 4x - 1

Now, The graph of function y = 4x - 1 is shown in image.

And, At y = 1;

By the graph the value of x = 1/2.

And, In mathematically;

At y = 1

The value of x is;

y = 4x - 1

1 = 4x - 1

4x = 2

x = 2/4

x = 1/2

Thus,

a) The graph of y = 4x - 1 is shown in attached image.

b) By using the graph at y = 1 the value of x is 1/2.

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Pls help ASAP!!!!!!
I will cash app

Answers

Answer:

C

Step-by-step explanation:

Since the weekend rate is a one time payment take it away from 125. leaving you with 75, divide by 8.25 since that is an hourly fee. which equals 9.09

Answer:

c is corecct

Step-by-step explanation:

The Riemann sum, the limit as the maximum of delta x sub i goes to infinity of the summation from i equals 1 to n of f of the quantity x star sub i times delta x sub i , is equivalent to the limit as n goes to infinity of the summation from i equals 1 to n of f of the quantity a plus i times delta x, times delta x with delta x equals the quotient of the quantity b minus a and n. Write the integral that produces the same value as the limit as n goes to infinity of the summation from i equals 1 to n of the product of the quantity 2 plus 3 times i over n and 3 over n.

Answers

Answer:

17

Step-by-step explanation:

no questions

What is the domain of the square root function graphed below?

A. x>1
B. x>_1
C. x>3
D. x>_3

Answers

Answer:

It is A

Step-by-step explanation:

if m<1=53° what is m<3

Answers

Answer:

its 159

Step-by-step explanation:

9. A = Pe (rt) is the formula to calculate continuously compounded interest
O True
O False

Answers

This is false ....................

17) Find the surface area of the right triangular prism shown below:
5
2
5/2
3/2

Answers

Answer:

D

Step-by-step explanation:

They didn't provide the number for one of the faces btw..

I NEED HELLP PLZZZZZZZZZZZ
Complete the statement. Round to the nearest hundredth if necessary.

45 lb ≈
kg

Answers

20.41
(one pound is .454 kilograms)

Answer:

45 lb is about 20.412; rounding it would be 20.4

Step-by-step explanation:

1 kg is about 2 pounds. (Used a conversion thing).

help plss it's urgent​

Answers

Step-by-step explanation:

step 1. (5/3)^(-5) x (5/3)^11 = (5/3)^(-5+11) = (5/3)^6

step 2. (-2/5)^7 ÷ (-2/5)^5 = (-2/5)^7 x (-2/5)^(-5) =(-2/5)^(7-5) = (-2/5)^2.


Work out the mean.
1, 3, 3. 4. 6, 9, 9

Answers

1+3+3+4+6+9+9 is 35
7 numbers so divide by 7
35/7 = 5
Mean is 5
The mean is 5 because you add them up and Divide by how many are there so 7

(x+1)^8-(x-1)^8=6(x-3)
ayuda porfavor​

Answers

Answer:

x = 9

Step-by-step explanation:

(x+1)²-(x-1)² = 6(x-3)

x²+2x+1-x²+2x-1 = 6x-18

x²-x²+2x+2x+1-1 = 6x-18

4x = 6x-18

4x-6x = -18

-2x = -18

x = -18/-2

x = 9

WHAT WOULD THIS BE!?!!!!!

Answers

Answer:

B 9

Step-by-step explanation:

Use the rule of exponents for a division. To divide two powers with the same base, write the same base and subtract the exponents.

[tex] \dfrac{a^m}{a^n} = a^{m - n} [/tex]

Now do it with your numbers.

[tex] \dfrac{3^4}{3^2} = 3^{4 - 2} = 3^2 = 3 \times 3 = 9 [/tex]

Answer: B 9

L is in the interior of ∠JKM. If m∠JKL=56.4° and m∠JKM=82.5°, what is m∠LKM?

Answers

m∠LKM = 26.1°

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The measure of angle ∠LKM is m∠JKL=56.4° and m∠JKM=82.5° is 26.1 degrees

The point where two lines meet or intersect is known as an angle.

If L is in the interior of ∠JKM, then:

∠JKL + ∠LKM = ∠JKM

Given the following parameters

m∠JKL=56.4° and m∠JKM=82.5°

Required angle

m∠LKM

From the expression above:

m∠LKM = ∠JKM - ∠JKL

m∠LKM = 82.5 - 56.4

m∠LKM  = 26.1 degrees

Hence the measure of angle ∠LKM is m∠JKL=56.4° and m∠JKM=82.5° is 26.1 degrees

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What is 2 1/5 as an improper fraction

Answers

Answer:

11/5

Step-by-step explanation:

You multiply 2 by 5 to give us 10. Add 1 the numerator of the equation giving us 11. Then we say 11/5

Answer:

The answer is 11/5

Step-by-step explanation:

Simply multiply 5 by 2 which gives us 10 and 1 + 10 is 11. Keep the denominator as it is so 11/5

Patricia is going to buy a pair of sneakers. They are originally $217.00, but have been marked down 15%. When Patricia goes to buy the sneakers she has to pay an 9% tax on the discounted price. What is Patricia's final cost of the sneakers? Round your answer to the nearest cent.

Answers

Answer:

201.05

Step-by-step explanation:

First find the discount and subtract 32.55 is discount

217-32.55=184.45

Find tax and add it  201.05

The answer would be 201.05

Write (9−4i)2(9−4i) 2 in simplest a+bia+bi form.

Answers

Step-by-step explanation:

(9−4i)2(9-4i)2

Rewrite (9−4i)2(9-4i)2 as (9−4i)(9−4i)(9-4i)(9-4i).

(9−4i)(9−4i)(9-4i)(9-4i)

Expand (9−4i)(9−4i)(9-4i)(9-4i) using the FOIL Method.

Tap for more steps...

9⋅9+9(−4i)−4i⋅9−4i(−4i)9⋅9+9(-4i)-4i⋅9-4i(-4i)

Simplify and combine like terms.

Tap for fewer steps...

Simplify each term.

Tap for more steps...

81−36i−36i−1681-36i-36i-16

Subtract 1616 from 8181.

65−36i−36i65-36i-36i

Subtract 36i36i from −36i-36i.

65−72i

Katelin is the pastry chef at the Brown Palace Hotel. She is making scones for their afternoon tea. Her recipe serves 6 people, but she needs to make
enough for 50 servings. The recipe calls for cup of sugar. How many cups of sugar will she need in all?

Answers

9 is the answer
Hope it helps

The total number of cups required to make the recipe for 50 people will be equal to 8.3 cups.

What is an arithmetic operation?

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the provided instructions in the question,

The recipe is for 6 people in which 1 cup of sugar is required.

Total number of people = 50

Cup of sugar required for the recipe = 50/6 = 8.33 cups.

It means that 8.33 cups of sugar is required to make the recipe for 50 people.

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during the volleyball match, maddie had 8 serves that were inbounds and 5 that were out-of-bounds. what is the ratio of services that were inbounds to total serves

Answers

Answer:

[tex]R=\dfrac{8}{13}[/tex]

Step-by-step explanation:

Inbounds in the volleyball match = 8

Out of bounds in the volleyball match = 5

Total serves = inbounds + out of bounds

= 8+5

= 13

The ratio of services that were inbounds to total serves is given by :

[tex]R=\dfrac{8}{13}[/tex]

Hence, this is the required solution.

There are _____ tenths in 2 tenths

Please?​

Answers

Answer:

Not sure what you mean, but there are 2 tenths in two tenths?? Just incase you meant "How many hundredths are in two tenths", the answer would be 20 hundredths.

Step-by-step explanation:

A six-sided die is rolled. What is the probability of landing on a number less than 3? Put our answer in simplest form.

Answers

Answer:

1/3

Step-by-step explanation:

2/6

1/3

Answer:

Probability of any one face to turn up is 1/6,

The probability of any above 3 is 3/6,

The probability of even number is also 3/6

So the probability of either above three or even outcome is 1/6(3/6 + 3/6)=1/6, since both events are independent of the any face event and both events are mutually exclusive.

NB:If the two events are not mutually exclusive, then

P(A) is the total event, P(B) the probability of any face above 3 and P(C) probability of any face an even number, then the Bayesian prediction formula is P(B|C) the probability of the event B occuring while C occurs is equal to (PC|P(B))/(P(B)+P(C), where P(C|B) is probability of C occuring at B.

So P(B|C)=(1/3 * 1/3)/(1/3 + 1/3) =(1/9)/(2/3) = 3/18= 1/6.

The perimeter of a rectangle is 68 inches. Its width is 16 inches. What is its length? A 16 inches B 18 inches C 20 inches D 22 inches

Answers

Answer: 18

Step-by-step explanation:

:)

Answer:

18

Step-by-step explanation:

can someone help me? Am confused

Select the correct answer.



The city mayor wants to use the reserved section of a rectangular park for gardening lessons conducted by the city public school. The rest of the park will be turned into a lawn. What will the area of the lawn be?


A.

168 square feet

B.

224 square feet

C.

280 square feet

D.

448 square feet

Answers

The ambush’s aims. Whenever ska

Is this a function??

Answers

Answer:

Function

Can I get brainliest please

Answer:

yes it is a function :D

Step-by-step explanation:

_________________

can someone please help me out with this one?

Answers

Answer:

Its 4!

Step-by-step explanation:

4×2=8

32/8=4

I dont really know if this is one of the options because I can't really see them. Would you mind typing in the options if im wrong? Thank you!

Hope this helps, and don't forget to follow!

Irina has 6 tubs yogurt. She wants to scoop it all into bowls. Each bowls holds 1/4 tub of yogurt. Which division equation can be used to find b, number of bowls she needs.

Answers

Answer:

6 divided by 1/4 = b

Step-by-step explanation:

Answer:

b = 6 ÷ 1/4

i did it before lol

Anybody good in geometry and know how to do this?

Answers

Answer:

D

Step-by-step explanation:

Answer:

I believe its C

<1 and <2 are complementary angles. The measure of Z1 is 41°. The measure of <2 is 7(x - 1)º. Find the value of x.
HELP NOW I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER

Answers

Answer:

i think its x=16 or x=11

Step-by-step explanation:

∠2 = 90 - 42 = 48 degrees

3x degrees = 48 degrees

3x = 48

x = 16

16

What is the slope of the line that passes through the points (10, 5) and (15, 20) ?

Answers

Answer:

Y=15 x=5

15/5 or 3

Step-by-step explanation:

46n = 350 what does n stand for?

Answers

Answer:

n=7.6

Step-by-step explanation:

350÷46=n

n=7.6

Hope this helps! :)

46n = 350
46n/46 = 350/46
n= 7.6

16. Find the angle complementary to the angle 80°.
O A. 99°
O B. 180°
O C. 90°
O D. 10°

Answers

Answer:

Its 10!

Step-by-step explanation:

Complementary mean 90°!

80+10=90

Hope this helps, and don't forget to follow!

Other Questions
Jacob plays soccer and gets grass stains on his shorts. He uses several types of laundry detergent to try to remove the stains, but none of them work. He hypothesizes that laundry detergents are not able to remove grass stains from clothing. Which best describes the evidence that fails to support the hypothesis?1. The stain is removed when a different type of laundry detergent is used.2. The stain was not removed when several types of laundry detergent were used.3. The stain does not go away after being repeatedly laundered in water with no laundry detergent.4. The stain is removed when it is treated with a stain remover before it is washed using laundry detergent. Drag the signs and symptoms under the correct disorder.binging and purgingAnorexiaBulimiaPTSDedginessexcessive dietinglack of appetitenightmaresurge to overeat 1. Frank is making a candle with the mold below. 4 in. 2 in. 2 in, He plans to fill half of the mold with wax. What volume of the mold will he fill? A 8 in. B 9 in.3 C 24 in. D 192 in.3 !!! HELP!!! HELL GELP HELP HELP Read the passage from Sugar Changed the World.You could date a great change in the world to a visit one Madame Villeneuve made to France in 1714. That year, Pauline, an enslaved woman from the Caribbean, arrived in France as the personal servant of her mistress. When Madame Villeneuve set off from the coast to visit Paris, she left Pauline in a convent. The young woman spent her time studying with the nuns and went so far in her training that she asked to become a nun herself and remain in the convent. The nuns agreed, which enraged Madame Villeneuve. She rushed to a judge, demanding to have her property back. Was Pauline a free woman, a bride of Christ, or an item to be bought, sold, and warehoused when she was not in use?Twenty-three years earlier, King Louis XIV had issued a set of rules that defined slavery as legal in the French sugar islands. But when two slaves managed to reach France, he freed themsaying they became free "as soon as they [touched] the soil" of France. The judges sided with Paulineshe was real to them, human, not a piece of property. For Pauline's judges, as for King Louis, slavery far off across the seas was completely different from enslaved individuals in France.Slave owners fought back, arguing that owners should be able to list their slaves as property when they arrived in France and take them with them when they left. Though most parts of France agreed to this, lawmakers in Paris hesitated. Pierre Lemerre the Younger made the case for the slaves. "All men are equal," he insisted in 1716exactly sixty years before the Declaration of Independence.To say that "all men are equal" in 1716, when slavery was flourishing in every corner of the world and most eastern Europeans themselves were farmers who could be sold along with the land they worked, was like announcing that there was a new sun in the sky. In the Age of Sugar, when slavery was more brutal than ever before, the idea that all humans are equal began to spreadtoppling kings, overturning governments, transforming the entire world.How do the details in the passage support the central idea?A. They compare the end of slavery in the French colonies with the end of slavery in other colonies.B. They provide details about the final few years of slavery in Europe and its many colonies.C. They provide examples of how laws and attitudes about equality changed in France.D. They explain why enslaved people entered convents in an attempt to gain their freedom. please give me the square root of 2 Which regulatory agency is most likely to offerassistance to a project involving collaborationbetween the United States and Malaysia? 1Which statement best describes recent voter trends in the United States?A.People living on the US coasts mostly vote for conservative candidates.B.Women since the 1950s mostly vote Republican.C.People living in the Midwest and the South mostly vote Democratic.ODCuban American families mostly vote Republican.ResetNext On January 1, 20X1, Beard Company purchased a machine for $620,000. The machine is expected to have a 10-year life, with no salvage value, and will be depreciated by the straight-line method. On January 1, 20x1, it leased the machine to Child Company for a three-year period at an annual rental of $128,000 to be paid at the end of each year. Beard could have sold the machine for $817,298 instead of leasing it. Child does not know the implicit rate in the lease, but it has an incremental rate of 9%. Child Company has a December 31 reporting year. Use tables (PV of 1, PVAD of 1, and PVOA of 1 (Use the appropriate factor(s) from the tables provided. Round your intermediate calculations and final answers to the nearest whole dollar amount.) Required: 1. Why is this an operating lease for Child Company? 2. What are the amounts of the right-of-use asset and lease liab that Child Company should report on its balance sheet at December 31, 20X1? 3. How much lease expense should Child Company recognize in 20X1? Juan (poder) __________ cantar. Recognition of deaf people as valued members of society was greatly helped by the A rectangular pool is 6 feet by 12 feet. A 4 foot walkway is placed around the entire pool. What is the area of just the walkway?PLEASEE HELP Pls help me i have a min to finish pls Ill make brainliest i need help with this project !!!!!!!!!!!Students will create an informative film that highlights information we know about the early inhabitants of the US Virgin Islands, the Ciboneys, Arawaks (Tainos) and Caribs. Students may include any combination of group(s). Your film should use the information contained in the Synopsis, Unit 2 and any other resource where you find supporting information. The Rubric for scoring is attached. Videos should be exciting to see and listen to. You may use your own choice of music (Pop, Rap, Reggae etc) without explicit lyrics. You may use any video editor even those that leave a watermark on the video. Keep the text short, but provide alot of information. To do so you need to use lots of pics. 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