n is a positive integer. (i) Explain why n(n - 1) must be an even number.

Answers

Answer 1

Answer:

Since the equation is n(n-1) where n is even, (n-1) will result to an odd number and when multiplied the answer with n( an even number), this will result to an EVEN NUMBER. Therefore, in any number that n can substitute, whether even or odd, the answer will always result to an even number

Step-by-step explanation:


Related Questions


Find the value of x for the given square.
8x - 5
3x + 20
x= ?

Answers

Answer:

I am not 100% sure but I believe it is 45

A scientist needs 10 liters of a 20% acid solution for an experiment, but she only has a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and 40% solutions should she mix to get the solution she needs?

Answers

9514 1404 393

Answer:

4.3 L of 40% solution5.7 L of 5% solution

Step-by-step explanation:

Let x represent the number of liters of 40% solution in the mix. Then the total amount of acid in the mix is ...

  0.40x +0.05(10-x) = 0.20(10)

  0.35x +0.5 = 2.0

  0.35x = 1.5

  x = 1.5/0.35 ≈ 4.3 . . . . liters of 40% solution

  10-x = 10 -4.3 = 5.7 . . .liters of 5% solution

Which of the numbers below are less than 475,215?
A) 49,875
B) 512,345
C) 475,195
D) 489,123
E) 47,000

Answers

answer : a , b , and e

Answer:

[tex]A). 49,875 \\

and \\

E). 47,000 \\ [/tex]

On the planet Umpt, there are 14 boondins to every 6 totts. If farmer
Coraz has 80 boondins on his elentire farm, how many totts are on the
farm?
No decimals. Use a mixed number if needed.

Answers

Answer:

6720

Step-by-step explanation:

Please help I don’t know itt

Answers

Answer:

I'm not sure what the options are but those are perpendicular lines and they form a right angle. I hope this helped.

what is 13x+2-17=11

Answers

Answer:

Pretty sure x = 2

Step-by-step explanation:

If not, shoot me. Why not.

What is an equation of the line that passes through the points (-4, -5) and
(-3, -2)? Put your answer in fully reduced form.

Pls help answer

Answers

Answer:

y=3x+7

Step-by-step explanation:

see the attached above

Help ASAP !!!!!!!!!!!!!!

Answers

Answer:

A. 3

Step-by-step explanation:

Answer
A-3
Explanation
3(2/3)+1
2+1
3

If wrapping paper comes in packages of 300 cm2. How many packages will Sally need?

Answers

Answer:

she needs 3 packages

Step-by-step explanation:

the total area of the cd is 27 cm

so like

she needs to wrap 27 cm of area

because 0.5 cm by 14 cm by 12.5 cm added all together is 27

then

27 cm equals 10.6 inches

so now we need to find how many 300cm2 will fit into that 11 inch space

There are 0.00107639 square feet in a square centimeter.

but we want to know how many feet not square feet

0.00107639 × 27 =

0.02906253

2.906253

there are 2.906253 feet per suare foot

so 2.9 rounded up is 3

she needs 3 packages

Write a unit rate for 53 pages in 2 hours

Answers

Answer: 26.5 pages/hr

Step-by-step explanation:

53 pgs/2 hours = 26.5 pages/hr

Write the equation of a line that is parallel to the line-y=-x+6

Answers

Answer:

y=x-5

Step-by-step explanation:

y=mx+b

if lines are parallel then that means the slope (m) is the same so the only thing left to change is the y-intercept (b). this can be anything but probably shouldn't be what the original was

4x + 2(2x - 3) = 8(x - 1)

Answers

Answer:

No solution

Step-by-step explanation:

4x + 2(2x - 3) = 8(x - 1)

4x + 4x - 6 = 8x - 8

8x - 6 = 8x - 8

0 = -2

There is no value of x makes the equation true.

Solve the equation.
2(3x + 8) = - 36 +4

Answers

Answer: -8

Step-by-step explanation:

i did the math

Answer:

X= -8

Step-by-step explanation:

2(3X+8)=-36+4

6X+16= -32

6X= -32-16

6X= -48

X= -48/6

X= -8

Simplify 4^3* 4^5 please help me

Answers

Answer:

C.

Step-by-step explanation:

add the numbers (power numbers)

=4^8

I don't get this Please help asap!?

Answers

Answer:

Step-by-step explanation:

I think it’s 6

Answer:

it's 6 inches

Step-by-step explanation:

I measured it

A middle school took all of its 6th grade students on a field trip to see a symphony at a theater that has 1660 seats. The students filled 1577 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?

Answers

the answer is 95% here’s the work for it too

Answer:

95%

Step-by-step explanation:

Solve the equation, justify
each step with an algebraic
property.
-2x = x – 5

Answers

Answer:

x= 1.66 repeating

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x=x−5

Step 1: Subtract x from both sides.

−2x − x = x − 5− x

−3x=−5

Step 2: Divide both sides by -3.

-3x/-3=-5/-3

Answer:

x=1.66 repeating

The width of a rectangle is 12 cm less than the length the perimeter is 156 cm. Which equations represents how to find the length and the width?​

Answers

Answer:

x+x+x+12+x+12=156

width is 33

length is 45

Step-by-step explanation:

for for the width we will substitute it for x, and for the length we will substitute for x + 12 since the width is 12 cm less than the length. and, we know that to find the perimeter, you just have to add the widths and lengths. and since the perimeter is given the equation is:

x+x+x+12+x+12=156

width is 33

length is 45

You just bought a car and need to expand your driveway by pouring more concrete. If the dimensions of the addition are 11ft by 6.5ft how many square feet of concrete do you need to pour?

Answers

I need points my bad shawty lol good look tho

The side length of a cube can be represented by the expression 2x⁵. If the sifr length is doubled, write an expression to represent the new volume of the cube.​

Answers

Answer:

64x⁸

Step-by-step explanation:

Given l=2x⁵

When side length is doubled,

It becomes 4x⁵

Now volume of cube is a³

New volume=(4x⁵)³

                     =64x⁵⁺³

                     =64x⁸

Write the equation of the line that passes through the points (4,9) and (9,1). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

y=-8/5x+77/5

Step-by-step explanation:

The equation of line that passes through the points (4, 9) and (9, 1) is y=-8/5x+77/5. Hope it helps!

The equation of line passes through the points (4, 9) and (9, 1) will be;

⇒ y = - 8/5x + 77/5

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (4, 9) and (9, 1)

Now,

Since, The equation of line passes through the points (4, 9) and (9, 1)

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 - 9) / (9 - 4)

m = - 8 / 5

Thus, The equation of line with slope - 8/5 is,

⇒ y - 9 = - 8/5 (x - 4)

⇒ y - 9 = - 8/5x + 32/5

⇒ y = - 8/5x + 32/5 + 9

⇒ y = - 8/5x + 77/5

Therefore, The equation of line passes through the points (4, 9) and (9, 1) will be;

⇒ y = - 8/5x + 77/5

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

Please help me with this! Legitimate answers only please!
Fill in the blanks with the proper/right options for the problem.

Answers

Answer:

x = $80 rate of change

y = total amount the store earns

m = the amount of hours store is open

b = $150 starting point when x is 0

Step-by-step explanation:

y=8x-150

(2.891 * 10^5) + (4.65 x 10^5)​

Answers

Answer:

10000000013.4 or 13.44+10^10

Step-by-step explanation:

1. move the left 10^5 and switch it with the 4.65

2. It should look like: (2.891 * 4.65) + (10^5 * 10^5)

3. Simplify: 13.44 + 10^10

4. Your answer should look like 10000000013.4 or 13.44 + 10^10. WooHoo! You just finished!

Please do Brainliest answer that would be appreciated!

Answer:

7.541 * 10^5

Step by step:

add 2.891 with 4.65

then add the 10^5

(This is an easy version on how to solve it. There is a more complex version but it’s too long.)

Which of the following is an example of a rational number that is not an integer?
4 , 0 , 1/5

Answers

Answer:

4

Step-by-step explanation:

write y=x²+6x-1 in terms of r, given x/r=-3​

Answers

Given:

[tex]y=x^2+6x-1[/tex]

[tex]\dfrac{x}{r}=-3[/tex]

To find:

The given equation in terms of r if [tex]\dfrac{x}{r}=-3[/tex].

Solution:

Given that,

[tex]\dfrac{x}{r}=-3[/tex]

[tex]x=-3r[/tex]

We have,

[tex]y=x^2+6x-1[/tex]

Substitute x=-3r in the above equation.

[tex]y=(-3r)^2+6(-3r)-1[/tex]

[tex]y=9r^2-18r-1[/tex]

Therefore, the required equation in terms of r is [tex]y=9r^2-18r-1[/tex].

I NEED HELP ASAP PLEASE!! -4(w+1)=-24 w= what?

Answers

GiveN:

-4(w + 1) = -24w

What to do?

We have to solve for w

Step-by-step explanation:

For solving the Equation, we need to simplify it first. Expanding the parentheses.

⇒ -4w - 4 = -24 w

Shifting -24 w to the LHS to isolate m and shifting 4 to the RHS[tex].[/tex]

⇒ -4w + 24w = 4

⇒ 20w = 4

Dividing the equation by 20, So that we will get w in the LHS of the equation.

⇒ w = 4/20

⇒ w = 1/5

The required value of w is 1/5.

Angle C and angle D are vertical angles with m angle C = -x + 26 and m angle D = 2x - 10.

What is m angle D?

Answers

Answer:

m∠D = 14

Step-by-step explanation:

According to the vertical angle theorem, both of these angles are congruent.

This means that they are equal (m∠C = m∠D) and we can solve for x:

m∠C = m∠D

-x + 26 = 2x - 10 (substitute in the equations)

-3x + 26 = -10 (subtract 2x from both sides)

-3x = -36 (subtract 26 from both sides)

x = 12 (divide both sides by -3)

Now that we know what x is, we can find m∠D by plugging it back into the equation:

m∠D = 2x - 10

m∠D = 2(12) - 10 (substitute the value for x in)

m∠D = 24 - 10

m∠D = 14

The value of the variable 'x' will be 12. Then the measure of the angle D will be 14°.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Angle C and angle D are vertical angles with m∠C = -x + 26 and m∠D = 2x - 10.

∠C = ∠D

-x + 26 = 2x - 10

3x = 36

x = 12

Then the measure of the angle D will be

m∠D = 2x - 10

m∠D = 2(12) - 10

m∠D = 24 - 10

m∠D = 14°

The value of the variable 'x' will be 12. Then the measure of the angle D will be 14°.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ2


The Monkey and the Cookie Jar
Once there was a monkey who found a jar full to the brim with cookies. He eyed them hungrily, and shoved his hand into the jar, grabbing as many as he little paw could hold. But when he went to remove his hand from the jar, he couldn’t get it out. His hand was too full of cookies. Unwilling to lose the cookies, and yet not able to get his hand out, the monkey burst into tears.
THEME: ________
Golden Line explanation: _______

Read each fairy tale or short story. (1) Identify the theme of the passage. (2) highlight phrases in the fairy tale that support your theme choice, and (3) write two sentences explaining how those Golden Lines support your theme choice.


Answers

Answer:

The theme is the monkey and the cookie jar

Step-by-step explanation:

The golden line is he was unwillingly not letting the cookies go but couldn't get his hand out

This is the golden line explanation because you can learn a lesson from this story. The lesson is to not be stubborn.

Please mark me as brainliest since I'm the one that actually answered your question

Which set of line segments could create a right triangle? (4 points) 1) 24, 30. 35 2) 12. 18. 30 03) 18. 24. 30 4) 18. 24, 35​

Answers

Answer:

Its 18,24,30

Step-by-step explanation:

I had the same question and this was the answer.Plus if you do the math this is the only one that equals c^2

SOMEONE PLLLLZZZ HELP MMEEE!!!III BBEEGGGGG UUU!!!!

Answers

Answer:

y = x + 2

Step-by-step explanation:

Used slope formula to get a slope of 1

Line crosses y axis at (0,2)

Y=5/-3 + -7
I think. I was just doing this an hour ago. But you are first meant to find the gradient. Then you create the equation.
Read my notes
Other Questions
Which Olimpic circle represents which continent? Find the value of x. Who Knows This Question? Watch help VideoCombine like terms.3y +6+ 2y - 3 - 6y^2+ 7y^2 4Answer:Submit Answer A __ needs a host to survive ? BacteriaVirusCellNucleus Rpondez en utilisant les pronoms :1) Il veut vendre son appartement ? (oui)2) Peux-tu prendre ce colis la poste ? (Non)3) Donnes-tu le roman ton frre ? (oui)4) Parlez-vous de votre professeur ? (oui)5) Avez-vous pens vos parents ? (non)6) Allez-vous manger votre djeuner avec vos amis ?(oui)7) Parlez-vous de votre voyage vos amis ? (non)8) As-tu pris ma rgle ?(oui)9) Faites-vous des dictes en classe ? (non)10) Pouvez-vous venir avec votre sur ? (oui) help!! please!! thankss which statement describes how technology has increased our information on Mars?A. The Curiosity rover found sulfur compound in rocks.B.The Curiosity rover located methane in soil samples.C. The Curiosity rover detected carbon in organic molecules.D. The Curiosity rover discovered helium in underground pockets. 8) Find the X and Y component of 10degree vector that has 5N. What punctuation is used to show the division between a word's syllables? apostrophe comma hyphen parentheses quotation marksIndirect and direct quotations require the same punctuation.TrueFalse What are the similarities between Democratic and authoritarian regimes? For the arithmetic sequence 13,9,5,1... determine t8? somebody please help me Mis amigas y yo _____ con los profesores sobre la tarea.hablamoshablamoshablishablishablahablahablohablohablanhablanhablas A. How many molecules of sugar are in 20.5 g of sugar? School is kicking my butt and its soo annoying! The Silk Road and the Indian OceanInstruction ActiveIdentifying Developments That Aided TradeWhich of the following developments made travel in the Indian Ocean easier?The transmission of religious ideasThe centralization of government in port citiesThe use of dhowsThe adoption of the compass for navigationThe development of the Swahili language Which statement best completes the timeline? How can humans change the planet and protect it Dave buys three CDs and two DVDs for $67. Joyce buys two CDs and fourDVDs for $90.(4 pts.)What is the price of one CD? One DVD?