If 'a' is an odd number, which of the following is also odd?
3a + 1
о
a + 2
O +
2a + 2
a + 1​

Answers

Answer 1
Answer:   B)  a+2

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Explanation:

Adding an even number to an odd number always results in an odd number

even + odd = odd

odd + even = odd

So if 'a' is odd, adding 2 onto it (even number), leads to an odd result of a+2.

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Extra Information (optional section)

If you are curious why the two equations shown above are true, then here's a proof.

Let 'a' be an odd number. This means a = 2k+1 for some integer k. We add 1 to any multiple of 2 and it goes from even (2k) to odd (2k+1).

If we made b an even number, then b = 2m for some integer m.

Adding 'a' and b gives us...

c = a + b

c = ( a ) + ( b )

c = ( 2k+1 ) + ( 2m )

c = (2k+2m) + 1

c = 2(k+m) + 1

c = 2n + 1 .... where n = k+m

The result a+b is an odd number since it is in the form 2*(integer)+1

It verifies the claim that odd+even = odd.

So this shows that a+2 is also odd, since we let b = 2.


Related Questions

Need help checking my answers thanks!!

Answers

Yes they are correct :)

The population of bacteria in an
experiment is increasing by 90% each
day. If there were 100 bacteria at the
beginning of the experiment, predict the
number of bacteria in 5 days.
First, complete the equation:
Future Amount = 100(1 +0.90) [?]

Answers

Answer:

5

Step-by-step explanation:

5 makes sense since the period of time this takes place is 5 days. therefore [?] should be 5

The number of bacterias increases in 5 days will be 1790.

What will be the bacterial growth?

The bacteria number is increasing day by day the function which shows the bacterial growth is given as Future amount = 100(1+0.9)⁴'⁵.

Now the bacterial growth will be:-

Future amount    =   100   (   1   +  0.9   )⁴'⁵.

Future amount    =   100   (   1.9   ) ⁴'⁵.

Future amount   =   1790

Therefore the number of bacterias increases in 5 days will be 1790.

To know more about bacterial growth follow

https://brainly.com/question/26298859

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which table is proportional?

Answers

answer: 1 and 3
.......

NEED ASAP!!

Name all the radii shown on this circle. Select all that apply.

Answers

All the radii are-

SO

RO

AO

BO

Answer:

O to S

O to R

O to B

O to A

Step-by-step explanation:

Radius is any line that connects the center of the circle to a point on the circle.

Which expression is equal to 5/2?
A. 5 divided by 2
B. 5 + 2
C. 2 + 5
D. 2 divided by 5

Answers

my answer was D I think it is the one

Find the product.

0.46 x 0.23
A. 0.0230
B. 0.1058
C. 0.01058
D. 0.958

Answers

The answer is letter B) 0.1058

Answer: it is b

Step-by-step explanation:

Flor tiene una papelería y vende los lápices en $12 y los bolígrafos en $20. ¿Qué expresión algebraica permite saber cuánto debe cobrar Flor por 10 bolsas que contengan x cantidad de lápices y "y" cantidad de bolígrafos?

Answers

Answer:

c=120x+200y

Step-by-step explanation:

La expresión algebraica debería indicar que el valor total que debe cobrar Flor es igual a 10 que representa el número de bolsas por el resultado de la suma del precio de cada item por la cantidad, lo que se puede expresar de la siguiente forma:

c=10(12x+20y)

c=120x+200y

De acuerdo a esto, la expresión algebraica que permite saber cuánto debe cobrar Flor por 10 bolsas que contengan x cantidad de lápices y "y" cantidad de bolígrafos es c=120x+200y.

Solve using the substitution method. What is the y coordinate of the solution?

y = 3x - 6

15 x + 3y= 30

Question 1 options:

y = 2


y = -2


y= 3x -6


y = 0

Answers

if this is solve using system of equations it would be 2,0 for substitution

solve for x for the triangle

Answers

Step-by-step explanation:

90° + 2x-2 + x+5 = 180° [Angle sum property of triangle]

=> 90 + 2x + x - 2 + 5 = 180°

=> 3x + 93 = 180

=> 3x = 180 - 93

=> 3x = 87

[tex] = > x = \frac{87}{3} [/tex]

=> x = 29 (Ans)

HELP PLEASE I NEED HELP WITH THISSSSSSSSSS

Answers

The scale is 1: .25 which could also be seen as 4:1 so the big triangle is 4 times as big as the smaller one. The big one is 8 so divide that by 4 to get our answer which is 2
I think the answer is x=2 because
8x0.25= 2

If 20 yards of carpet weighs 30 pounds, how much do 34 yards weigh in pounds?
PEOPLE!!!!! I NEED HELP! I HAVE AN EXAM COMING IN 2 DAYS!! PLEASE HELP!

Answers

Answer:

20/30=x/34

2/3=x/34

3x=2×34

3x=68

x=68/3

x=22.67pounds...

34 yards of carpet weighs 51 pounds.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, 20 yards of carpet weighs 30 pounds.

Here, 1 yard of carpet weighs = 30/20

= 1.5 pounds

34 yards of carpet weighs

= 34×1.5

= 51 pounds

Therefore, 34 yards of carpet weighs 51 pounds.

To learn more about the unitary method visit:

brainly.com/question/22056199.

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I need help thank you

Answers

Answer:

C i think

Step-by-step explanation:

pls mark brainlyest

Answer:

B. HL

Step-by-step explanation:

Which lists shows the values of the differences ordered from least to greatest?
Adela, Tony, Pang, Ruben
Adela, Pang, Ruben, Tony
Pang, Ruben, Adela, Tony
Tony, Adela, Ruben, Pang

Answers

Answer:

Pang, Ruben, Adela, Tony

Step-by-step explanation:

Given that

Adela: 0.75 year

Tony: 11

10

years

Pang: –0.8 year

Ruben: -1

2

year

So according to this the third option is correct as it represent the ordered from least to greatest

Answer:

c

Step-by-step explanation:

yes

Find the total amount of money you will have after 4 years if you begin with $500 at an interest rate of 3%

Answers

Answer: total amount of money = Initial amount × rate × time in years

= 500 × 3 × 4 = 6000 dollars.

I forgot how to do this please help

Answers

The answer is in the text just look at it closer

pls help. need explanation too pls

Answers

Answer:

-3 ≤ x ≤ 13

Step-by-step explanation:

Values on x- axis between -3 and 13 both numbers included:

x = [-3, 13]-3 ≤ x ≤ 13

4
3.
A factory can produce 720 wagons in an 8-hour
day. What is the unit rate per hour?
sle
B.

Answers

Answer:

9

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

i think its 90 because if 720 could be produced in 8 hours then 90 are being produced each hour

Comparing Positions on a Grid

15. Use the points (21, 38), (38, 25),
(25, 38), and (38, 25).
a) Which point is farthest left?
b) Which point is farthest right?
c) Which point is highest up?
d) Which point is lowest down?

Answers

Answer: C

Step-by-step explanation: I help ;) please give me brainliest

I believe that the correct answer is B

Evaluate the expression x + 9 when
x = 10

Answers

Answer:

19

Explanation:

Plug in x for x + 9. Once you do that, you’ll be able to get the answer.

two horses are filling a pool

Answers

Answer:

What is the actual question?

Step-by-step explanation:

A can vegetables has radius 1.8 inches in height 5.7 inches find the volume of the can use 3.14 for Pi

Answers

Answer:

about 58

Step-by-step explanation:

factor completely and explain 4xy-14x+16y-56​

Answers

Answer:

2(2y−7)(x+4)

Step-by-step explanation:

Factor 4xy−14x+16y−56

4xy−14x+16y−56

=2(2y−7)(x+4)

Help me please I’ll mark you as brainliest

Answers

Answer:

not 100 percent sure but i think f

Step-by-step explanation:

Hi, can anyone help me with this. I'm really confused lol

Answers

Answer:

X=8

Step-by-step explanation:

since we know these lines are parallel that means that the 2 angels given to us are supplementary (add up to 180) so we add them together and set it equal to 180 to find X.

If the sales tax rate is 7.5%, then how much sales tax would you pay for a $25 pair of pants?

Answers

Answer:

$26.88

Step-by-step explanation:

25(1.075) ≈ 26.88

Answer:

You'd pay $26.88

Step-by-step explanation:

So, you do 7.5%(25).

Then, you have 1.875, which rounds to 1.88

Next, you add 1.88 to 25.

Finally, you got your answer, $26.88

Stanley's milkshake recipe calls for 5/6 of a scoop of ice cream and Charlie's recipe calls for 1/3 of a scoop. How many more scoops of ice cream are used in Stanley's recipe than in Charlie's recipe?

Write your answer as a fraction or as a whole or mixed number.

scoops

Answers

Answer:

3/6 or 1/2 scoop

Step-by-step explanation:

Answer:

1 1/2 more

Step-by-step explanation:

If you convert 5/6 to a 3rd it would be 2.5/3

2.5 - 1= 1.5.

1.5 as a fraction is 1 1/2.

Hope this helps!:)

-Amelia

WILL GIVE BRAINLIEST

Answers

Answer:

V=πr²h

V=(3.14)(15cm)²(325cm)

V=229,613 cm³

Answer:

d

Step-by-step explanation:

trust me i used online calculator and got that exact answer

pls make me brainliest :)

Put these numbers in order from least to greatest: -4 2/5 -4.5 -5.1 -4.45 -5 -

Answers

Answer:

-5.1, -5, -4.5, -4.45,-4 2/5

Answer:

-5.1, -5, -4.5,-4.45,-4 2/5,

Step-by-step explanation:

Lets put all the number in decimal form from least to greatest.

-4 2/5= -4.4

Remember the lower the negative integer is, the higher it is on the number line.

-5.1, -5, -4.5, -4.45, -4 2/5,

A cable company had 132 subscribers. The ratio of regular subscribers to premium subscribers was 3:8. How many regular subscribers did they have?

Answers

Answer: 49.5 ~50

Step-by-step explanation: 132/8=16.5 16.5(3)=49.5

Answer:

49.5

Step-by-step explanation:

Determine the value of x that would make quadrilateral LMNO a parallelogram.
3
9
11
18​

Answers

Answer:
x=9
Step-by-step explanation:
Diagonals of a parallelogram bisect each other. For quadrilateral LMNO to be a parallelogram, LP must equal PN, and OP must equal PM.
Set OP equal to PM and solve for x.
PM=OP
3x-9=18
Add 9 to both sides.
3x=27
Divide both sides by 3.
x=9

Answer:

9

Step-by-step explanation:

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