Find two consecutive odd numbers such that the sum of the larger number and twice the smaller number is 27 less then foir times the smaller number

Answers

Answer 1

Answer:

           29 and 31      

Step-by-step explanation:

x      - some integer

2x+1      - an odd integer (the smaller one)

2x+1+2=2x+3       - the next odd integer consecutive to 2x+1  (the larger)

2×(2x+1)       - twice the smaller number

2x+3+2•(2x+1)     -the sum of the larger number and twice the smaller number

4•(2x+1)      - four times the smaller number

4•(2x+1)-27     - 27 less then four times the smaller number

2x + 3 + 2•(2x + 1) = 4•(2x + 1) - 27

2x + 3 + 4x + 2 = 8x + 4 - 27

            6x + 5  =  8x - 23

                  -5            -5

              6x  =  8x - 28

             -8x       -8x

            -2x  =  - 28

          ÷(-2)      ÷(-2)

              x  = 14

2x+1 = 2•14 + 1 = 29

2x+3 = 2•14 + 3 = 31

Check:  31+2•29=31+58=89;  4•29-27=116-27=89


Related Questions

Multiple Choice!

Which relation is symmetric with respect to the x-axis?

Answers

Option D, y = 3 is the correct answer

PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE HELP MEEEEE

Answers

Answer:

B

Step-by-step explanation:

$30 X x number of lbs + 2 for shopping when x pounds are greater than 0 and less than 10 and 24 dollars X x number of pounds + 6 for shipping when x lbs are greater than or equal to 10.

I need help ASAP
Which statement best describes points P and Q?

Answers

Answer:

their y coordinates are the same

Step-by-step explanation:

Answer:

Their y-coordinates are the same.

Step-by-step explanation:

Point P is at (-6, 4) and Point Q is at (1, 4).

Notice how their y-values, which is 4, are the same.

Enter a graph compound inequality for the numbers described. Use x as the variable.

all real numbers less than or equal to 9 and greater than or equal to 2


The solution of this inequality is?

Answers

Answer:

If y> or y>=, (>= means greater than or equal to), then you shade up. If y< or y<=, (<= means less than or equal to), then you shade down. I remember this by up: greater (because when something is bigger, it's higher) and down: less (because if it's smaller, it's lower). I hope that helps.

Which of these correctly defines a ray?
a part of a line with exactly two end points
a straight path that extends endlessly in both directions
a circular path such that every point on the path is equidistant from its center
a part of a line that begins at a particular point and extends endlessly in one direction

Answers

Answer:

the last option

Step-by-step explanation:

it is a ray

A ray is part of a line that begins at a particular point and extends endlessly in one direction

A ray can be defined as a straight line passing through a point. A ray is denoted by;

A pointed head with an arrowa line extend endlessly in a directiona line that begins from a particular point

Hence we can conclude that a ray is part of a line that begins at a particular point and extends endlessly in one direction

Learn more here: https://brainly.com/question/11916463

does anybody know the answer lol excuse the rohan cursor :p

Answers

Answer:

you will get no solutions

Answer:

No Solution

Step-by-step explanation:

What are the solutions of 6t-1> 4t+13

Answers

answer:t>7

6t - 1> 4t + 13 Move the terms 6t - 4t> 13 + 1 Group the like terms Calculate 2t> 14 Divide both sides Solution t> 7 Alternate between E (7, + 0) Explain the steps> II

Rational numbers are

Terminating Repeating decimal.
Repeating decimal.
non-terminating decimal.
non-repeating decimal.
HELPPPP

Answers

Answer:

terminating repeating decomal

Step-by-step explanation:

Answer: terminating repeating decimal

Step-by-step explanation: In the subject of Mathematics, we usually classify numbers in several types: whole numbers, rational numbers, natural numbers, and real numbers. We also include decimals in these types. Decimals are used by us to convey a whole number and a fraction together. We do this by separating a whole number from the adjoining fraction by inserting “.” between them. This symbol is called a decimal point. In other words, decimals are just another way of representing fractions.

plz help me this one is a lil tough

Answers

Answer:

100 degrees

Step-by-step explanation:

It's going through 140 and 40, 180 - 40 = 140

180 cause a flat line is 180 degrees

Answer:

140*

Step-by-step explanation:

the line is pointing through 40* and 100* which makes it that.

hope this helps! have a good day and stay safe!

id like brainliest but if not its ok!

(i got it wrong the first time but once i looked at it more i found it out)

An inchworm is crawling up a tree. It begins 18 inches above the ground and climbs up 3 inches every minute. Let t represent the number of minutes since the worm began climbing. Veronica wants to know when the inchworm will be more than 60 inches above the ground. Which inequality should she use?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Starting point = 18 inches

Rate or speed = 3 inch per minute

t = number of minutes since climbing began

When will worm be more than 60 inches above the ground.

Height (t) = starting point + (rate * time)

18 + 3t > 60

3t > 60 - 18

3t > 42

t > 42/3

t > 14

Hence, inequality to use is : 60 > 18 + 3t

(−=|>)=∑(−=,=|>)=∑(−=|=,>)(=|>)=∑(−=|>)(=|>).

Answers

Answer:

The sum u1 + u2 + u3 + . . . + un is written in sigma notation as

Xnr=1\ur .

Step-by-step explanation:

What is 153×694 pleas someone help me

Answers

The answer is 106,182

Answer:

106182

Step-by-step explanation:

Which pair of numbers has a GCF of 6?

a.) 2 and 12
b.)8 and 24
c.)12 and 18
d.)1 and 6

Answers

c) 12and 18
...............
The answer is D because

pllllsss answer for 30points and brainliest!!!!


(b) About how many times larger was the population of the United States than the population of Columbus, Ohio?

Answers

Answer:

387.6. So, the closest whole number would be 388 times larger

Step-by-step explanation:

I divided the U.S. pop by the Columbus pop and got the answer: 387.6. So, the closest whole number would be 388 times larger

Answer:

The population of the United States is 387.87 times larger than the population of Columbus, Ohio.

Step-by-step explanation:

8.25 times 100000 = 825,000

3.2 times 100000000 = 320,000,000

320,000,000 divided by 825,000 = 387.87

Helps me solve this problem please 6

Answers

Answer:

I believe its C

Hope that helps

Step-by-step explanation:

There are no other x's from your original 4 that are 3

What is the value of the expression -17 x 1.3? Be sure to use the correct place value.

Answers

DA DA DA DA DA DA DA DA DA DA

Join the cult ;)

Answer:

-22.1

Step-by-step explanation:

-17 x 1.3 = -22.1  

Hope I helped!

Eugene borrows $250 at a 4% annual interest rate. If he does not make any payments, how much simple interest will he owe in 18 months?

Answers

Answer: He will owe 258.47

Biologist Dr. Cytoplasm wants to know how many elephants in the nature reserve have broken tusks . Of the 30 elephants that he observes in random places in the reserve, he counts 8 elephants with broken tusks. Of the 600 elephants in the reserve, how many can he expect to have broken tusks?

Answers

Answer:

Of the 600 elephants that he observes in random places in the reserve, he counts [tex]\frac{8}{30}(600)=160[/tex] elephants with broken tusks.

Step-by-step explanation:

Let x denotes number of elephants having broken tusks out of 600 elephants.

Of the 30 elephants that he observes in random places in the reserve, he counts 8 elephants with broken tusks.

So,

Of the 1 elephants that he observes in random places in the reserve, he counts [tex]\frac{8}{30}[/tex] elephants with broken tusks.

Therefore,

Of the 600 elephants that he observes in random places in the reserve, he counts [tex]\frac{8}{30}(600)=160[/tex] elephants with broken tusks.

Someone please help!!! Look at the attachment

Answers

Answer:

1. [tex]\angle 5[/tex] and [tex]\angle 13[/tex] are Corresponding Angles

2. [tex]\angle 4[/tex] and [tex]\angle 9[/tex] are Alternate Interior Angles

3. [tex]\angle 5[/tex] and [tex]\angle 16[/tex] are Alternate Exterior Angles

4. [tex]\angle 3[/tex] and [tex]\angle 9[/tex] are Consecutive Interior Angles

Step-by-step explanation:

Alternate Interior Angles - When a pair of angles are in the interior in the opposite sides of the transversal.

Alternate Exterior Angles -When a pair of angles are in the outside in opposite sides of the transversal.

Corresponding Angles - When a pair of angles are in the same side of one of two sides by a cross-section.

Consecutive Interior Angles - When a pair of angles on the side are same but inside the two lines.

Pleaseeeee helppppppp

Answers

Answer:

1.) y=3x

2.) y= -2/3 x + 1

3.)y = -2/3 x - 4

4.) y = 4

5.) y = x + 5

6.) y = 2x

The perimeters of the square and the regular pentagon are equal. A square with side lengths of 3x + 3. A pentagon with side lengths of x + 8. What is the perimeter of each polygon?

Answers

Answer:

The answer is Not 40 idk what it is

Step-by-step explanation:

Thanks in advance!
filler filler filler filler filler

Answers

Answer:

C

Step-by-step explanation:

The base number is 2, and it's being multiplied 7 times, so 7 is the exponent

Hope this helps!

Dory can run 3.25 miles every hour. How long will it take her to run a race that is 16 1/4 miles long?


pls help​

Answers

it would rake her 5 hours

Explain! Prizes! Thank you !

Answers

Answer:

$16

Step-by-step explanation:

20/5 = 4

4 x 4 = 16

Have a good day!

Answer:  Choice A) $16

==================================================

Work Shown:

5 notebooks = 20 dollars

5/5 notebooks = 20/5 dollars ..... divide both sides by 5

1 notebook = 4 dollars ..... unit rate

4*(1 notebook) = 4*(4 dollars) .... multiply both sides by 4

4 notebooks = 16 dollars

---------------

Another approach:

(5 notebooks)/(20 dollars) = (4 notebooks)/(x dollars)

5/20 = 4/x

5*x = 20*4 ... cross multiply

5x = 80

5x/5 = 80/5 .... dividing both sides by 5

x = 16

So 4 notebooks cost $16

Someone invested some money at 8% and $300 more than
twice this amount at 12%. Her total annual income from
the two investments is $548. How much is invested at
each rate?
32

Answers

Answer:

$1600 at 8% and 3500 at 12%

Step-by-step explanation:

The rule of the interest is I = PRT, where

P is the amount of investment R is the rate in decimalT is the time

Assume that the amount of money is $x

P = x

∵ The rate is 8%

R = 8/100 = 0.08

∵ She has an annual income

T = 1

→ Substitute them in the rule to find the interest amount

∴ I = x × 0.08 × 1

I = 0.08x

∵ She invested $300 more than twice the previous amount

P = 2x + 300

∵ The rate is 12%

R = 12/100 = 0.12

T = 1

→ Substitute them in the rule to find the other interest amount

∴ I = (2x + 300) × 0.12 × 1

I = 0.24x + 36

∵ Her total annual income from both investments is $548

→ Add the two amount of interest and equate their sum by 548

0.08x + 0.24x + 36 = 548

→ Add the like terms in the left side

∴ 0.32x + 36 = 548

→ Subtract 36 from both sides

∴ 0.32x + 36 - 36 = 548 - 36

∴ 0.32x = 512

→ Divide both sides by 0.32

x = 1600

She invested $1600 at 8%

→ Substitute x by 1600 in the expression of the other amount to find it

∵ 2x + 300 = 2(1600) + 300 = 3500

She invested $3500 at 12%

Please help me with this question.

Answers

Answer:

Just draw a line through the dots.

Step-by-step explanation:

multiply the cost times the number of items.

Hope i helped

a) 5 x something = -95

Answers

Answer:

-19

Step-by-step explanation:

Brainliest plsssss

What's 5+5????????????????

Answers

Answer:

10

Step-by-step explanation:

Are you okay

Do you need to talk to someone

10 I really hope this is a joke Pham

the population of China is about 1.4 x 10 to the power of 9 people. Julie grew up in a town with a population of about 7,000 people. How many times greater is the population of China than Julie's hometown? Please answer this in scientific notation.​

Answers

Answer:

2 x 10⁵ is the answer I believe.

Answer:

2 x 10^5

Step-by-step explanation:

Given

Population of China = 1.4 x 10^9Population of town = 7000 = 7 x 10^3

The difference in population

1.4 x 10^9 / 7 x 10^3 = 14 x 10^8 / 7 x 10^3 =2 x 10^5

PLEASE HELP I AM BEING TIMED!


In the Diagram Angles B and C are_____?


Options: Right

Similar

Congruent

Obtuse

Answers

Answer: C.) Congruent (or third option)
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