find three consecutive integers for which 3 times the sum of the first and third integers is -342? show step by step

Answers

Answer 1

Answer: The integers are -58, -57, -56.

Step-by-step explanation:

The difference between two consecutive integers is 1.

If you let the smallest of the three consecutive integers equal x, then the next greater one is x + 1, and the greatest of the three is x + 2.

Integers: x, x + 1, x + 2

The sum of the first and third is: x + x + 2

3 times the sum of the first and third is: 3(x + x + 2)

That product equals -342.

3(x + x + 2) = -342

3(2x + 2) = -342

Divide both sides by 3.

2x + 2 = -114

Subtract 2 from both sides.

2x = -116

Divide both sides by 2.

x = -58

x + 1 = -57

x + 2 = -56

The integers are -58, -57, -56.


Related Questions

Help me Guess just help please

Answers

Answer:

26

is it direct or step by step?

The correct answer is 26.

graph a line with the slope of -5 and the y intercept of 4

PLEZZ HELP!!!!!!!!!!!!!!!!

Answers

Answer:

Slope m = -5

y intercept = 4

so the equation of the line is,

y = -5x+4

Plot two points, (0,4) and (1,-1)

then connect them, I've attached a graph, your graph should look like that

Answered by GAUTHMATH

Answer:

y=-5x+4

Step-by-step explanation:

y=mx+b

the slope is m

the y intercept is b

-5/1= one right and down 5

4 is the starting point on the y-axis (the vertical one)

Mind uh... Answering my question?

Answers

Answer:

12 ounces

Step-by-step explanation:

[tex]3 \div 4 \\ = 0.75 [/tex]

1 pound = 16 ouncesmultiply the mass value by 16.

[tex]0.75 \times 16 \\ = 12[/tex]

Hope it is helpful....

Answer:

12 ounces

Step-by-step explanation:

Please help thx and will mark as brainliest if you do it correct!

Answers

. A quadratic equation is graphed above.
Which of the following equations could be
paired with the graphed equation to create
a system of equations whose solution set is
comprised of the points (2,-2) and (-3, 3)?
Here ya go! :D (red is -5 slope with 4 y-intercept and black is the other one)

What is the slope of the graph of y = -3x?

-1/3
1/3
-3
3

Answers

Answer:

Slope is -3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Identify

y = -3x

↓ Compare to y = mx + b

Slope m = -3

y-intercept b = 0

your answer would be -3 because it is the number next to x

The animal shelter needs to split 6 1/2 pounds of dog food equally among the 13 dogs in the facility. How much dog food will each dog receive?

Answers

Answer:

1/2 pound for each dog.

Step-by-step explanation:

Don't get confused. There are only 2 numbers which will give 2 different answers: 2 and 1/2. Which one is correct?

You want the units to be pounds per dog or pounds/ number of dogs.

The numerator is 6.5

The denominator is dogs (13)

Food per dog = 6.5 / 13 = 1/2

1/2 for each doggo 2021

1/3(3x-6)=2x please help

Answers

Answer:

-2

Step-by-step explanation:

In the picture

Answer:

x = -2

Step-by-step explanation:

1/3(3x - 6) = 2x

3x - 6 / 3 = 2x

9x - 6 = 6x

3x = -6

x = -2

Which of the following is a geometric sequence?

A. 2, –2, 2, –2, 2, –2, ...

B. 5, 3, 1, –1, –3, ...

C. –1, 0, 1, 2, 3, ...

D. 1, 2, 4, 6, 8, 10, ...

Please help!! <3

Answers

Answer:

A

Step-by-step explanation:

A is a geometric sequence with common ratio - 1.

A is - 8 b pio c roer and d is cannibal

If In a = 2, In b = 3, and Inc = 5, evaluate the following:
(a) In
(b) In V63c4a-2
(c)
In(a+b-3)
In(be)"
3
(d)

Answers

here you are!!!!!!!!!!!!!!

Answer:

-20/343

Step-by-step explanation:

30 POINTS PLS HELP
Solve for x: −7 < x − 1 < 8

A. 6 < x < 9
B. −6 > x > 9
C. 6 > x > −9
D. −6 < x < 9

Answers

The answer is D have a good day
The answer to this question is D

What is the coefficient of the j term in the polynomial negative 8j^ 2 + 7j - 6?

Answers

Answer:

7 is the coefficient

A coefficient is a number before a variable.

For example, in 7j, 7 is the coefficient:)

Step-by-step explanation:

7 is the coefficient of the j term

So sorry I really need help

Answers

Answer:

(2 x 2 x 2) x (0.03125)

Step-by-step explanation:

The answer to it is 1 over 4

plz help, will mark brainliest!

Answers

Answer:

the answer is "B" (thank me later) ;))

Answer:

Given:- [tex]f(x)=\frac{x-3}{x+2}[/tex]

Solution:- [tex]\left(-\infty \:,\:-2\right)\cup \left(-2,\:\infty \:\right)[/tex]

So, Answer:- [tex]All \: real\: value \: of x\: such \; that \: \neq -2[/tex]

OAmalOHopeO

Graph the line that represents a proportional relationship between ddd and ttt with the property that an increase of 3 units in ttt corresponds to an increase of 8 units in ddd.
What is the unit rate of change of ddd with respect to ttt? (That is, a change of 1 unit in t will correspond to a change of how many units in d?)

Answers

The unit rate of change of d with respect to t is 8/3

How to graph the line?

The statement is given as:

increase of 3 units in t corresponds to an increase of 8 units in d.

This can be represented using the following ratio

t : d = 3 : 8

Express as fraction

t/d = 3/8

See attachment for the graph of t/d = 3/8

The unit rate

In (a), we have:

t/d = 3/8

Inverse both sides

d/t = 8/3

This means that:

Slope or Rate = 8/3

Hence, the unit rate of change of d with respect to t is 8/3

Read more about linear functions at:

https://brainly.com/question/4025726

#SPJ1

Last week, Lamar had $983.45 in his checking account. Since then, he paid $214.67 for his car loan. He also donated $15 to the fire department. Then, Lamar deposited the $50 check his grandma sent him for his birthday. What is Lamar's balance now?

Answers

Answer:

803.78

Step-by-step explanation:

983.45-214.67=768.78

768.78-15=753.78

753.78+50=803.78

answer is 803.78

Answer:

$803.78

Step-by-step explanation:

You would subtract the car loan(214.67) from 983.45. then subtract another 15 since he is giving it away. You then add the $50 because you deposited it meaning you are getting money back into your acount.

Picture below maths :

Answers

Step-by-step explanation:

f(g(x))= f(2x)

f(g(x))=3+cos2x

g(f(x))=g(3+cosx)

g(f(x))=2(3+cosx)

g(f(x))=6+2cosx

where,

f(g(x))=g(f(x))

3+cos2x=6+2cosx

2cosx-cos2x+6-3=0

2cosx-cos2x+3=0

x=2pi n1+pi

n1€ z

11 = 1 + 3r + 2r

I really need help with this!!

Answers

Answer:

r = 2

Step-by-step explanation:

I'm assuming we're finding r

11 = 1 + 3r + 2r

Add up the numbers with r

11 = 1 + 5r

Subtract both sides by 1

11 = 1 + 5r

-1  -1

10 = 5r

Divide both sides by the coefficient, 5, to isolate the variable, r

10/5 = 5r/5

r = 2

Step-by-step explanation:

11=1+5r

11-1=5r

5r=10

r=10/5

r=2

Please help I suck at math

Answers

Answer: 12

Step-by-step explanation:

Find the difference between the first and second points.

Since the x-coordinates are the ones changing, find the difference between them.

2 - (-3)

= 5

Then find the distance between the second and the third points.

Here, the y coordinates are the only ones changing, so we subtract them/or find the distance between them.

2-(-5)

=7

Now add the distances (5+7) and you get 12.

hope this helps!!:)

Dfbhjuyy grad by Saab

Modeling Real Life At a town hall meeting, 37/50 of the members are present. Of those who are present, 1/2 vote in favor of a new park. What fraction of the members do not vote in favor of the new park?

Fraction:_______

Answers

Answer:

17.5

Step-by-step explanation:

Half 37

Put into decimal

Answer:

Step-by-step explanation:

If 1/2 of the members who are present voted means, then the remaining half (1/2) didn't vote in favor of the new park.

Fraction of the members do not vote in favor of the new park = (1/2) of (37/50)

[tex]=\frac{37}{50}*\frac{1}{2}\\\\=\frac{37}{100}\\[/tex]

I need help with these questions from 11 to 20. I already did questions 1 through 10 with my math teacher but I'm not in school so please please please answer all of these answers it would mean a lot to me and would help me a lot with the math homework I need to get done, so yeah. Please help.

Answers

Hope this helps :D

11 is 6 and 3
12 is coefficient
13 is variable
14 is 82b and 3u^2 and 7 and 41h and 54
15 is 9r and 2g
16 is exponent
17 is constant
18 is 21 and 8 and 3
19 is r and g and n
20 is a term
13 answer is
The number and element

HELP HELP HEL[P HELP HELP HELP HELP

sorry about the wrong file



write the answer in the comments section

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Rule for subtracting Integers: Keep, Change, Opposite.
Show the changes for subtracting integers:

1. 3 - 7
2. -4 -2
3. -4 - (-6)
4. x - 3x
5. 3 - 4x
6. -3 - (-2x)

Answers

Answer:

 -4 -6 2 -2x 3-4x 2x-3

Step-by-step explanation:

3 - 7= -4 (7 is larger so we get - sign)

-4-2=-6(we add "-" terms but they have the - sign)

-4-(-6)=-4+6=2(- multiplied by - =+ meaning - - = +)

x-3x=-2x(3x is larger)

3-4x=3-4x(Unlike Terms)

-3 - (-2x)=-3+2x=2x-3(Unlike terms, so we only simplify the signs)

-4, -6, 2, -2x,

that’s all i know sorry

solve the following problem as a percent equation: 36 is 80% of what number?

Answers

Answer:

45

Step-by-step explanation:

80%= 4/5

36 = 4/5 * ?

Take 4/5 on the other side and flip it

36 * 5/4 = ?

45=?

36 is 80 percent of 45

Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?

Answers

Answer:

the 3rd one

Step-by-step explanation:

20+17=37

-1/2+(-5/2)= -3

so 37 + ( -3 ) = -3 + 37 have the same value which is 34

34
It’s C
hope it helps

help please i will give a brainist

Answers

Answer:

4 apples/ second

28800 apples in 2 hours

Step-by-step explanation:

20 apples / 5 seconds

Divide the top and bottom by 5

4 apples/ second

A few hours is 2 or 3

There are 3600 seconds in 1 hour

4 apples/ second * 3600 seconds / 1 hour = 14400 apples / hour

14400 apples/ hour

14400apples / hour * 2 hours

28800 apples in 2 hours

Answer:

4 apples per second; about 14400-43200 apples

Step-by-step explanation:

First, to find the unit rate, you need to divide the number of apples with the number of seconds...

20/5= 4 apples per second

Then, to find the number of apples being packed after a few hours, you multiply the unit rate of apples by the total amount of seconds...

(4)(3600) = 14400 apples

(4)(10800) = 43200 apples

And so on and so forth depending on the number of hours they need (remember to convert the hours into seconds and multiply by 4)

write an equation that equals 6 that isnt basic addition, subtraction, multiplcation, or division​

Answers

Answer:

(3² - 3) + (0x 2)

Step-by-step explanation

(3^2 - 3) would be one answer

help. . . . . . . . . . .

Answers

Answer:

I belive the slope will equate to 3/1 x

Step-by-step explanation:

3/1 is the answer of the equation

Please check the image below for more info on the question

Answers

Answer:

The answer is A

Step-by-step explanation:

(I'm not 100% sure though, hope this helps.)

The answer is A and and t=5 please give me brainliest

Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to the following linear inequality in the coordinate plane.
5x-y>-3

Answers

Answer:

Here's one way to do it

Step-by-step explanation:

1. Solve the inequality for y

5x - y > -3

-y > -5x - 3

y < 5x + 3

2. Plot a few points for the "y =" line

I chose

\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}

x

−2

−1

0

1

2

y

−7

−2

3

8

13

You should get a graph like Fig 1.

3. Draw a straight line through the points

Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.

See Fig. 2.

4. Test a point to see if it satisfies the inequality

I like to use the origin,(0,0), for easy calculating.

y < 5x + 3

0 < 0 + 3

0 < 3. TRUE.

The condition is TRUE.

Shade the side of the line that contains the point (the bottom side).

And you're done (See Fig. 3).

The graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .

What is graph of inequality?

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.

According to the question

linear inequality in the coordinate plane.

[tex]5x-y > -3[/tex]

which can be written as

-y > -3 -5x  

y < 3 + 5x ( standard way to express inequality )

Now , to get the points for  graph the inequality

We will treat inequality as equation

y = 3 + 5x

x                 y

0                 3

1                  8      

-1                 -2

-0.6             0

Now,

As per rule of graph the inequality

The boundary line is dashed for > and <  

and  If the symbol ≤ or < is used shade below the line.  

Therefore , graph the inequality is plotted accordingly .

Hence, the graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .

To know more about graph the inequality here:

https://brainly.com/question/21857626

#SPJ2

Plsss help I will give brainliest!!!!

Answers

Answer:

ans is 4 I am dam sure please like me ,

Answer:

I think 4 is the answer

have a great day

God bless you

Always be happy

Never be sad

Sad is bad you

Know that

please brainlist

Mrslenbox

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