For whole numbers between 1 and 1001, inclusive, let m be the sum of odd numbers and n be the sum of even numbers. What is the value of m−n?

Answers

Answer 1

Answer:

m - n = 501

Step-by-step explanation:

Remark

The first thing you have to do is find the number of odd and even numbers. This is where you have to be careful because there is a danger of being out by one.

equation

l = a + (n - 1)*d

Solution even

l = 1000

a = 2

d = 2

1000 = 2 + (n - 1)*2

998/2 = (n - 1) * 2 / 2

499 =  n - 1

n = 500

Solution odd

l = 1001

a = 1

d = 2

1001 = 1 + (n - 1)*2

1000 =  (n - 1)*2

1000/2 =  (n - 1)2/2

500 =  n - 1

501 = n

Sum Even of even numbers from 1 to 1001

Givens

a = 2

n = 500

l = 1000

Equation

Sum = (a + l ) * n / 2

Solution

Sum = (2 + 1000)*500/2

Sum = 1002 * 250

Sum = 250500

Sum of Odd numbers from 1 to 1001

a = 1

l = 1001

n = 501

Equation

sum = (a + l)*n/2

sum = (1 + 1001) * 501

sum = (1002)*501 / 2

Sum =  251001

Answer

m - n = 251001 - 250500 = 501


Related Questions

If the height of a cylinder is tripled, but the area of the base stays the same, what happens to the volume? The volume is four times greater. The volume triples. The volume is nine times greater. The volume doubles.

Answers

Answer:

I gotchu

Step-by-step explanation:

The volume triples

Odysyware

Answer:

The volume triples

Step-by-step explanation:

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The swimmer swam at in increasing speed as time passed, then came to a constant speed. When the line is horizontal, that means he is continuously moving, but his speed is not increasing. Then the swimmer starts to slow down in speed and time towards the end.

Answer:

the speed of the swimmer increased as the time went up ,the swimmer speed decreased as the time was up

Step-by-step explanation:

help me pls i will give brainly if ur correct

Answers

Answer:

11

Step-by-step explanation:

Answer:

You'd need atleast 2

Step-by-step explanation:

Theres 5 ppl. Only 3 spots. You need two

Talya is putting up a fence around their rectangular yard. The fence will be 16 yards long and 5 yards wide.

Answers

Answer:

80 yards2

Step-by-step explanation:

Area = l × w

= 16 × 5

= 80 yards2

Two friends store 3 cereal bors equally. How many cored bors each person get? Show your work Write an equation & solution: Explain your thinking.​

Answers

Answer:

1 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

There are a total of 2 friends, if they have 3 cereal bars and want to split it equally then we simply need to divide the number of cereal bars by the number of friends which would give us the number of cereal bars that each individual will get, which will be represented by x

x = 3 / 2

x = 1 [tex]\frac{1}{2}[/tex]

Finally, we can see that each friend will get a total of 1 and a half of a cereal bar.

Simplify :
4a(6) + 3a

1. 24 a2 + 3 a
2. 13 a
3. 27 a
4. 27 a2

Answers

Answer:

Hi! The answer to your question is 3. 27a

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

3

Step-by-step explanation:

Bodmas brakets first

Take out Common factor

Multiple

2/3 x 5/9 as a fraction

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{2}{3}\times\dfrac{5}{9}}[/tex]

[tex]\mathsf{= \dfrac{2\times5}{3\times9}}[/tex]

[tex]\mathsf{= \dfrac{2 + 2 + 2 + 2 + 2}{3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3}}}}[/tex]

[tex]\mathsf{= \dfrac{4 + 4 + 2}{6 + 6 + 6 + 6 + 3}}[/tex]

[tex]\mathsf{= \dfrac{8 + 2}{12 + 12 + 3}}[/tex]

[tex]\mathsf{= \dfrac{10}{24 + 3}}[/tex]

[tex]\mathsf{= \dfrac{10}{27}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{\dfrac{10}{27}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

HELP PLEASEEEEEE I WILL GIVE YOU BRAINLIEST

Answers

Answer:

Step-by-step explanation:

so brh

Please help..........

Answers

Answer:

210 degrees

Step-by-step explanation:

This question involves the unit circle. The unit circle is generally something you need to memorize, but if you can remember one quadrant you can just change the signs to apply it to other quadrants. In this case, when sinθ = -1/2, θ is 7π/6, which is equal to 210° (remember that π is equal to 180°)

please help me in this Q

Answers

9514 1404 393

Answer:

  (a)  (2x +36)° +(3x +14)° = 90°

  (b)  ∠C = 38°; ∠D = 52°; ∠E = 90°

Step-by-step explanation:

(a) Two acute angles are marked in a right triangle. We know the sum of angles in a triangle is 180°, so if one of those angles is 90°, the sum of the other two angles must be 90°. We can use that fact to write and equation for x.

  (2x +36)° +(3x +14)° = 90°

__

(b) We can collect terms, subtract 50 and ...

  5x +50 = 90 . . . . . . . collect terms, divide by °

  5x = 40 . . . . . . . . . . subtract 50

  x = 8 . . . . . . . . . .. divide by 5

∠C = (3x +14)° = (3·8 +14)° = 38°

∠D = (2x +36)° = (2·8 +36)° = 52°

∠E = 90°

_____

Angle E is marked as a right angle by the little square in that corner. The measure of a right angle is 90°, by definition.

using y =4x^2 +5x -21 find the actual slope of the curve at x = 2

Answers

Answer:

Step-by-step explanation:

[tex]\frac{dy}{dx} =4 \times 2x+5=8x+5\\at ~x=2,\frac{dy}{dx} =8(2)+5=21\\slope~of~curve~at~x=2 =21[/tex]

Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracy
spent $10. Write and solve an equation to find how much Daniel spent. Let x represent how much
Daniel spent.
The equation that can be used to determine how much Daniel has spent is
Daniel spent $


!WORTH ALL MY POINTS!
ASAP

Answers

Answer:

Daniel spent $ 19.

Step-by-step explanation:

Given that, while shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent, and Tracy spent $ 10, to determine how much Daniel spent the following equation must be performed:

Daniel: X

Tracy: 2X - 28 = 10

2X - 28 = 10

2X = 10 + 28

X = 38/2

X = 19

2x19 - 28 = X

38 - 28 = X

10 = X

So, Daniel spent $ 19.

Question:

Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracy

Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how much

Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how muchDaniel spent.

Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how muchDaniel spent.The equation that can be used to determine how much Daniel has spent is

Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how muchDaniel spent.The equation that can be used to determine how much Daniel has spent isDaniel spent $

Answer:Daniel $ 19.

Find the value of x.

help pls !

Answers

Answer:

68

Step-by-step explanation:

Answer:

x = 68°

Step-by-step explanation:

measure of angle adjacent to 128° equals 52°

60 + 52 + x = 180

x = 180 - 112

x = 68

2x+6y=6 has to be solved by elimination
-2x+y=8 has to be solved by elimination

Answers

Answer:

2x - 2x + 6y + y = 6 + 8

7y = 14

y = 2

2x + 6(2) = 6

2x + 12 = 6

2x = -6

x = -3

Answer:

X=-3, y=2

Step-by-step explanation:

I really need help and this answered ASAP. thank you and sorry.


At the Cardinal corner Bookstore, three notebooks and two pens cost $6.50, while eight notebooks and four pens cost $16.00. What is the total cost for one notebook and one pen?​

Answers

9514 1404 393

Answer:

  $2.50

Step-by-step explanation:

The question asks for the total cost of a notebook and pen together. We don't need to find their individual costs in order to answer the question.

Sometimes we get bored solving systems of equations in the usual ways. For this question, let's try this.

The first equation has one more notebook than pens. The second equation has 4 more notebooks than pens. If we subtract 4 times the first equation from the second, we should have equal numbers of notebooks and pens.

  (8n +4p) -4(3n +2p) = (16.00) -4(6.50)

  -4n -4p = -10.00 . . . . . . . . . . . simplify

  n + p = -10.00/-4 = 2.50 . . . . divide by the coefficient of (n+p)

The total cost for one notebook and one pen is $2.50.

__

Additional comment

The first equation has 1 more notebook than 2 (n+p) combinations, telling us that a notebook costs $6.50 -2(2.50) = $1.50. Then the pen is $2.50 -1.50 = $1.00.

One could solve for the costs of a notebook (n) and a pen (p) individually, then add them together to answer the question. We judge that to be more work.

Answer:
$2.50
I hope this helps!

Janessa is playing a board game with two friends. Using a single die, one friend rolled a four, and the other friend rolle
a three. Janessa needs to roll a number higher than both friends in order to win the game, and she wants to calculate
her probability of winning.
How many desired outcomes should Janessa use in her probability calculation?

A. 3
B. 6
C. 4
D. 2

Answers

Answer:

D. 2

Step-by-step explanation:

The only possible outcomes that Janessa could possibly calculate would be 5 and 6. This is because a single die has 6 possible outcomes. If Janessa's friends rolled a 3 and a 4, and Janessa needs to roll something higher, then the only higher possible outcomes would be a 5 or a 6. Meaning that Janessa can only use a total of 2 desired outcomes for her to actually win the game.

Answer:

sorry i need more points

Step-by-step explanation:

someone please help me answer this

Answers

Answer:

7 17/100

Step-by-step explanation:

Answer: I think it’s 7 17/100

Step-by-step explanation:

Identify the number of faces, vertices, and edges in the figure.

Answers

Answer:

faces = 8

edges = 12

vertices = 6

87 times a number minus 8
is equal to -42 less than the number

Answers

Answer:

-17/44

Step-by-step explanation:

87n - 8 = -42 - n

88n = -34

n = -34/88

n = -17/44

Find the area of the figure shown.
6
8
20

Answers

Answer:

960? i dont see what shape ur talking abt

Step-by-step explanation:

The price of an item is p dollars. The store owner decides to mark this price up by 35%. Which expression correctly describes the new price? A 0.35 B 35p C p+0.35 D p+35p

Answers

I’m pretty sure the answer is C (P+0.35)

Find the quotient. 492 ÷ 4 = ? HELP PLEASE

Answers

Answer:

123

Step-by-step explanation:

492 divided by four equals 123

a farmer hires 110 workers to harvest apples from his trees.it takes the 12 days to harvest the farmers entire crop.how long does it take for 440 farmers to harvest the crop​

Answers

Answer:

110 = 12

110 + 110 + 110 + 110 = 440

so 110 × 4 = 440

4 × 12 = 48 days

hope this helps

Jenny walked a total of 15.6 miles in 3 days. She walked the same distance
each day. PART B: How many total miles would Jenny walk if she continued
to walk the same number of miles each day for 7 days?

Answers

Answer: 36.4

Explanation:

First, you have to find how much she walked in one day(15.6/3)

which is 5.2. Then, multiply 5.2 by 7 and you get 36.4.

Please help!

I need the answers for E and F!

Please use the correct theorem! I will give brainliest to the first answer!!!!

Answers

Answer:

wait can you post the questions

>) Which unit is best to use to measure the length of a soccer field? D)) miles inches )) yards centimeters​

Answers

yards centimeters. because it’s larger than a football field

Anthony's hourly rate increased from $16.00 to $20.90 in January 2019. Find the
percent change in her hourly rate.

Answers

Answer:

30.6%

Step-by-step explanation:

Use the rule of three

Solve 2x + 8 < 10 or 2x + 8 > 20.

Answers

Answer:

x=1 or x=9

Step-by-step explanation:

make x the subject of the formula by correcting the right terms and then divid both sides by 2

Answer:

Step-by-step explanation:

how much does a 5 lb 11 oz roast weigh in grams? ​

Answers

9514 1404 393

Answer:

  2580 g

Step-by-step explanation:

The conversions are ...

  1 oz = 1/16 lb

  1 lb = 453.59237 g (exactly)

So, your roast is ...

  (5 11/16 lb)(453.59237 g/lb) = (91·453.59237/16) g ≈ 2579.8066... g

The weight is about 2580 grams.

two different ways to rewrite 3xyz + 6yz using the distributive property.

Answers

Answer:

3yz(x+2)3yz+2×3yz

hope it helps.

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