Find three consecutive odd integers where the sum of the two largest is seven less than three times the smallest.

Answers

Answer 1

Answer:

             13, 15, 17

Step-by-step explanation:

x    - an integer  then  2x + 1 is an odd number  (the smallest one)

consecutive odd numbers increase by 2

so the next odd number (the middle number) is:

2x + 1 + 2 = 2x + 3

and the third (the largest) consecutive is:

2x + 3 + 2 = 2x + 5

the sum of the the two largest numbers is:

2x + 3 + 2x + 5

3 times the smallest number is:  

3(2x + 1)  

the sum of the two largest is seven less than three times the smallest, so:

2x + 3 + 2x + 5 = 3(2x + 1) - 7

4x + 8 = 6x + 3 - 7

   -6x       -6x

-2x + 8 = -4

   -8       -8

-2x  = -12

÷(-2)    ÷(-2)

  x = 6

2x+1 = 2•6+1 = 13

2x+3 = 2•6+3 = 15

2x+5 = 2•6+5 = 17

Check:

2x+3+2x+5 = 15+3+15+5 = 38

38+7 = 45

45÷3 = 15


Related Questions

Use the distributive property to simplify the expression below:

4x + 2(x+1)

A. 6x + 1
B. 6x + 2
C. 8x + 2x + 2
D. 4x + 2x + 2​

Answers

4x + 2x + 2
= 6x + 2

So the answer is B

Answer:

B)

Step-by-step explanation:

You would first multiply the variable and constant with the number next to the parenthesis. So you now have 4x+2x+2. Then you add up like terms to get a final answer of 6x+2.

4 1/2 - 2 2/3
Simplest form

Answers

convert the mixed number to an improper fraction
9/2 - 2 2/3
9/2 - 8/3
11/6

simplest form:
1 5/6

Does 1/6, -3, V7, -6/5 or 4.5 come first when the numbers are listed from least to greatest? Explain.

Answers

Answer:

-3

Step-by-step explanation:

Given numbers:

1/6, -3, √7, -6/5, 4.5

The smallest one is chosen between the two negatives as all the rest are greater.

- 3 is smaller than - 6/5= -1.2 as 3 > 1.2

So the answer is -3

Greetings from Brasil...

Let's look at each number

1/6 = 1 ÷ 6 = 0.16666....

- 3 = - 3

√7:

√4 < √7 < √9, so

2 < √7 < 3   the result of √7 is between 2 and 3

-6/5 = (- 6) ÷ 5 or 6 ÷ (- 5) = - 1.2

4.5 = 4.5

Writing the numbers in ascending order can tell:

- 3; - 6/5; 1/6; √7 and 4.5

or (same values - approximated values):

- 3; - 1.2; 0.2; 2.5 and 4.5

see annex

What is - 3/4 + 2 3/4?

3 1/2

3 3/4

2 1/2

2

Answers

Answer
The answer is 2

Jalal spent a total of $74.25 on 5 roses and a vase. The vase cost $34.50.
This situation is represented by the equation 5x + 34.50 = 74.25.
What was the cost of 1 rose?

Answers

5x + 34.50 = 74.25
-34.50 on both sides
5x = 39.75
/5 on both sides
x = 7.95

Answer:
7.95$ for a single rose

Answer:

I hope this helps.

Step-by-step explanation:

The temperature of a chemical substance in a lab was measured to be -15c the substances temperature was lowered by 19.what was the temperature of the substance after this change

Answers

Answer:. -34°c

Step-by-step explanation:

Lowering the temperature means added a negative or continuing more negative on the thermometer.

A makeup artist charges $40 to travel to a wedding, plus $20 per hour for the makeup she is doing at the wedding. The bride receives a bill for $100. How many hours did the makeup artist work at the wedding?

Answers

The makeup artist worked 3 hours

Answer: 3 hours

Step-by-step explanation:

Which is the slope of the line y = -3x +2?

Answers

Answer:

slope = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 2 ← is in slope- intercept form

with slope m = - 3

Answer:

-3.

Step-by-step explanation:

in the form y=mx+b, m is the slope

Draw the line AB and AC. Are the lines the same? Explain

Draw the line segment AC and BD are the segments the same? Explain

Draw the rays CA and CB. Are the rays the same? Explain ​

Answers

Answer:

No they are not the same because.....

Step-by-step explanation:

Express the fraction 1/8 as a decimal

Answers

Answer:

0.125

Step-by-step explanation:

Answer:

answer is 0.125

Step-by-step explanation:

divide 1 by 8 :)

Simplify. ( 8mn2 )-2 ( 12m

Answers

i think the answer is: 8mn^2-24m

Please help!!

15 Points !!

Answers

Answer:

equation: 3h+2.50=13

solution: h=$3.50

each hamburger was $3.50

Step-by-step explanation:

hope this helps

Manuel earns 5350 a month. if he worked eight hours a day for 20 days, how much did he make each hour? Express your answer in dollars and cents. (Rounded)

Answers

Answer:

$33.44

Step-by-step explanation:

Working hours:

20 days, 8 hours a day20*8 = 160 hours

Earning in a month = $5350

Hourly earning rate:

5350/160 = 33.4375 = $33.44 rounded

Kai has $315 in her bank account. She withdraws $65 for a new jacket and another $13 for lunch with her friends. She deposits $26. What is the balance in Kai's account?​

Answers

Answer:

263

Step-by-step explanation:

take the start amount 315 and subtract 78 then add 26 which would amount to 263

Answer:

$263!! :D

Step-by-step explanation:

Take $315 and subtract $65   $315 - $65 = $250

Then subtract $13     $250 - $13 = $237

Then add $26!  $237 + $26 = $263!

Jamal is 167 cm tall. Which expression finds Jamal's height in dekameters? Use the metric table to help answer the
question
kilo-
1,000
hecto-
100
deka-
10
Metric Table
unit
1
deci-
0.1
centi-
0.01
milli-
0.001

Answers

Answer:

1 cm is equal to -----------> 0.001 dekameters

so

167 cm------------------> X

x=167*0.001------> x=0.167 dekameters

Step-by-step explanation:

Expression to finds Jamal’s height in dekameters

[Jamal’s height in cm]*0.001  or [Jamal’s height in cm]/1000

Answer:

D

Step-by-step explanation:

six students out of 40 students In a class are absent what percentage of the students are absent​

Answers

15%

Step-by-step explanation:

Absent= 6

Total student = 40

[tex] \frac{6}{40} \times 100 \\ \\ \frac{600}{40} = 15\%[/tex]

Step-by-step explanation:

Hey there!!

We can simply do it.

Here,

Total students =40

Absent students = 6

Now,

[tex]absent\% = \frac{no.asent}{total \: student} \times 100\%[/tex]

Keep all values.

[tex]absent\% = \frac{6}{40} \times 100\%[/tex]

= 15%

Therefore, the absent percentage is 15%.

Hopeit helps...

Algerbra word problem ( urgent!)

Answers

Answer:

Step-by-step explanation:

3 burgers....... 2 fries.... 17 /×2

2 burgers...... 4 fries..... 18

=>

6 burgers...... 4 fries..... 34

2 burgers...... 4 fries..... 18

____________________

6 - 2 =4 burgers

34 - 18 =16 $

=>16 :4 =4 $ one burger

17 - 3×4 =5 $ cost 2 order of fries

5 :2 =2,5 $one order of fries

PLEASE HELP- The time it takes for an object to follow certain distance can be calculated using the equation t=√2d/g where d represents distance and g represents the force of gravity on the object write the eqtion as a function of the distance and use 9.81 meters per second squared as the force of gravity calculate the distance the object will fall in 3 seconds label your answer.

Answers

Answer:

d= 44.145 m (meters)

Step-by-step explanation:

distance = (g*t²)/2

t=3 sec. d=?  , g=9.81 m/s²

distance (d)=9.81*(3)²/2  

d= 44.145 m

Diego bought some raisins and walnuts to make trail mix. Raisins cost $4 a
pound and walnuts cost $8 a pound. Diego spent $30 on both ingredients.
Write an equation to represent this constraint. Let x be pounds of raisins
and y be pounds of walnuts.

Answers

Answer:

4x + 8y = 30

Step-by-step explanation:

Cost of raisins = $4 per pounds

Cost of walnuts = $8 per pounds

Total spent on both ingredients = $30

Let

Pounds of raisins = x

Pounds of walnuts = y

Diego's equation can be represented by

PxQx + PyQy = 30

Where,

Px = price of raisins

Qx = Quantity of raisins (pounds)

Py = price of walnuts

Qy = Quantity of walnuts (pounds)

PxQx + PyQy = 30

4x + 8y = 30


[tex] {9}^{2} - 2(1 + 3)[/tex]
evaluate the expression ​

Answers

the answer is 73 because you solve 9^ 2 which is 81 then multiply 2 times 4 which is 8 then subtract 81 and 8 which is 73
81-2*4 = 81-8 your answer is 73

i need < 2 and <4 help plz

Answers

Answer:

Step-by-step explanation:

m<3 = 43 degrees

add 43 degrees and 43 degrees and the answer is 86. and since everything equals 180 degrees, 180 - 86 = 94. since there are 2 side needed to be solved divide 94/2 = 47

so 47 degrees for <2 and 47 degrees for <4

to check my work just add up all the sides

47 degrees for <2, 47 degrees for <4, 43 degrees for <1, 43 degrees for <3

47 + 47+ 43+ 43= 180 degrees

hope this helps:)

what is 7/8+3/4= with work​

Answers

Answer:

(7/8×1/1) < 7/8 + (3/4×2/2) < 3/4

common denominator is 8

7/8+6/8=

7+6 = 13/8

8        

13 divided by 8

1 3/8=1 5/8

7/8+3/4=1 5/8

A bag of pennies weighs 5.1 kilogram. Each penny weighs 2.5 grams. About how many pennies are in the bag?

Answers

In 5.1 kilograms there are 5,100 grams. If each penny weights 2.5 gams divide 5,100 grams by 2.5 grams. That means there are 2,040 pennies in the bag.

Alejandro has 3 times as many playlists as Derrick does. Alejandro has 24
playlists.
If d = the number of playlists Derrick has, which mathematical sentence
expresses the information above?
A. 3d = 24
B. 24d = 3
C. D/24 = 3
D. D/3 = 24

Answers

Answer:

I'm pretty sure it is A

Step-by-step explanation:

it would be 3×d=24

Change -3x+3y=9 into slope intercept form

Answers

To convert to slope-intercept form, we need to get the y by itself.

First add 3x to both sides to get 3y = 3x + 9.

I put the x term first because in slope-intercept form or y = mx + b form,

the x term will always come before the constant term.

Now divide both sides by 3 to get y = x + 3.

Answer:

y = x + 3

Step-by-step explanation:

-3x + 3y = 9

3y = 9 - 3x

/3     /3   /3

y = x + 3

In a factory, eggs are packaged in groups of 6 per box.
How many full boxes of eggs can the factory make with 715 eggs?​

Answers

Answer:

119

Step-by-step explanation:

divide 715eggs by 6per box

you get 119 boxes

Answer:

119 boxes

Step-by-step explanation:

715 divided by 6=119.166666667 so u round to  119

what is the expression: the quantity n minus 6 cubed? (in algebraic expression)

Answers

Answer:

The equation is either n-6^3 (this is without cubing the 6, this is probably what your teacher is looking for.) or n-216 (this is what the equation looks like when 6 is cubed)

Which expression is equivalent to 1.8(2x + 7) - 15?
a 1.2x
b 3.6x - 2.4
0 3.6x - 8
d 16.2x - 15

Answers

Answer:

Option B. 1.8(2x + 7) – 15 = 3.6x – 2.4

Step-by-step explanation:

1.8(2x + 7) – 15

To know which option is correct, let us simplify the above expression. This can be obtained as follow:

1.8(2x + 7) – 15

Clear bracket

1.8(2x + 7) – 15 = 3.6x + 12.6 – 15

1.8(2x + 7) – 15 = 3.6x – 2.4

Thus,

1.8(2x + 7) – 15 is equivalent to

3.6x – 2.4

Show steps of how to factor (3x^2 + 5xy - 2y^2)

Answers

(3x² + 5xy - 2y²)

3x² + 5xy - 2y² (rewrite the expression) (write 5xy as a difference)

3x² + 6xy - xy - 2y² (factor the expression) (factor out 2x from the expression)

3x x (x + 2y) -y x (x + 2y) (factor the expression)  (factor out x + 2y from the expression)

Solution : (x + 2y) x (3x - y)

There was 1/5 of a pie left over. The
next day Julio ate of what was left
for lunch. How much of the whole
pie did Julio cat?

Answers

Julio are 1/5 of the whole pie ! I hope this helped
Other Questions
Ronald can plant 1/5 of his corn crop 1/4 of an hour. How much of the crop can be planted in a hour? round 46.231 to the nearest tenth What percentage of someone's genetic background may contribute to alcohol dependency?25%O 50%75%O 100%Mark this and returnSave and Fxit A virus reproduces by dividing into two, and after a certain growth period, it divides into two again. As the virus continues to reproduce, it will continue to divide in two. How many viruses will be in a system starting with a single virus AFTER 10 divisions Name the lakes thatare adjacent toCanada. help please (ty to the people who know this) :) Increases in transportation time and shipping costs have caused trade to decrease. is it true of false Andrew has one book that is 2 3/7 inches thick and a second book that is 3.56 inches thick. If he stack the books , about how tall will the stack be. Round to the nearest hundred 5. The Ribosome is the site ofO DNA synthesisO Protein synthesisO Vesicle synthesisO Carbohydrate breakdown Question 1: Many Americans were concerned about thegrowth of the Ku Klux Klan. How does Document A provideevidence of this? Question 3 (1 point) What did Marqus de San Miguel de Aguayo accomplish? establishing a sea connection linking La Bahia at Matagroda Bay capturing Pensacola, Florida for the Spanish empiire building twenty settlements in the Nuevo Santander region founding the mission Nuestra Seora de los Dolores Question 4 (1 point) How does this graph change between (2.5, 2) and (4.5, 0.25) How do I simplify these expressions?5(x+8)+33.6x-7-5.1x4+8x+2.2-10x What is a theme of Stray" by: Cynthia Rylant?a. A family should make financial sacrifices for their pets.b.A family's financial situation can affect the decisions it makes.c.People who work hard are less likely to want to keep a pet.d.People should put their children before their pets.55 POINTS HURRY I NEED THE ANSWER TODAY!! Consider the following research question. Why are the carrots that grew on the left side of the garden larger than the carrots that grew on the right side of the garden? Which hypothesis is based on this research question? Which analysis of the passage is correct? 1.it contains two compound sentences and one complex sentence 2.it contains one compound sentence and two complex sentences 3.it contains three compound sentences 4. It contains three complex sentences Given the zeros, write the polynomial. x= -1, 1+3i A scientist is conducting research to see whether dogs or cats are more popular. He goes to a dog park and asks all of the owners which pet they prefer. 100% of those polled stated that dogs are their favorite animal.This experiment is an example of:A)personal biasB)experimental biasC)cultural biasD)a controlled experiment HELP ASAP PLEASE 75POINTS Find the value of sin Z