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

Find the area of the figure at the right in square feet. (image attached)

Answers

Answer:

40.5 ft²

Step-by-step explanation:

*First we’ll split the shape into multiple smaller ones. The two ends make separate triangles while the middle makes a rectangle. From there you can solve for their areas.

*Each triangle is the same size, so when solving them, the area of one can just be duplicated. To find the height of each triangle, we take the total base of 8 ft and subtract the top 5.5 ft to get 2.5 ft. After that you’ll divide by 2 (for each triangle) so the height of each one is 1.25 ft.

Triangle:

A = 1/2bh

A = 1/2 (6) (1.25)

A = 3.75 ft²

Both triangles:

A = 3.75 (2)

A = 7.5 ft²

Rectangle:

A = lh

A = 5.5 (6)

A = 33 ft²

Total:

A = 7.5 + 33

A = 40.5 ft²

Answer:

Step-by-step explanation:

The shape can be broken down into 2 identical triangles and one rectangle.

Area of 2 triangles= 2(1/2×base×height)

= 2(1/2×6×2.5) = 15ft²

Area of Rectangle = length × breadth

= 6 × 5.5 = 33ft²

Area of figure = Area of 2 triangles + Area of Rectangle

= (15 + 33) ft² = 48ft²

help a girl out?

17 - 12m = -11(m-2)

Answers

Answer:

m= -5

Step-by-step explanation:

remove the parentheses

move the terms

collect light terms

calculate

change the signs

17-12m=-11(m-2)= m=-5

17-12m=-11m+22

17-12m+11m=22

-12m+11m=22-17

-m=22-17

-m=5

m=-5

Plz answer fast! Tell the correct answer(both parts), or else I will report you.

Answers

Answer:

d1 = -1.5

dn = dn-1 *-4

Step-by-step explanation:

-1.5, 6, -24,96

The first terms is d1

d1 = -1.5

To find the common ratio divide the second term by the first term

6/-1.5 = -4

Check 6*-4 = -24

-24*-4 = 96

dn =dn-1 * -4

Answer:

D (1) = -1.5        

D (n)= dn-1 *-4

Step-by-step explanation:

I know ;) hope this helps.

SOLVE THIS!!!!! 7(y - 5) + 3y = 10(y +1)

Answers

Answer:

No solution

Step-by-step explanation:

7(y - 5) + 3y = 10(y +1)

7y - 35 + 3y = 10y + 10

10y - 35 = 10y + 10

10y - 10y = 10 + 35

0 = 45

This is No Solution

The answer is no solution

Please help


Quadrilateral ABCD is a parallelogram. Let E be a point on AB, and let F$\ be the intersection of lines DE and BC The area of triangle EBF is 1, and the area of triangle EAD is 9. Find the area of parallelogram ABCD.

Answers

Answer:

24

Step-by-step explanation:

It is 24
Hope this is correct

Determine whether each sequence is an arithmetic sequence. If yes, then state the common difference.
7, 10, 13, 16,...

Answers

Answer:

3

Step-by-step explanation:

d= term4 - term3

16-13=3

d= term2 - term1

10-7=3

answer: +3 each number goes up by 3

Express each of these percentages as a fraction
12.4%
solution for class 7

Answers

Answer:

31/250

Step-by-step explanation:

12.4% as a fraction

lets get rid of the decimal by multiplying it by 10 = 124

Since we multiplied 12.4 by 10, we multiply 100 by 10 as well

124/1000 = 62/500 = 31/250

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

That’s hard good luck

Help a girl out?

17 - 12m = -11(m-2)

Answers

Answer:

-5 = m

Step-by-step explanation:

17 - 12m = -11(m-2)

Distribute

17 -12m = -11m +22

Add 12m to each side

17 -12m+12m = -11m+22+12m

17 = m+22

Subtract 22 from each side

17 -22 = m+22-22

-5 = m

[tex]\underline{\sf \: 17 - 12m = -11(m-2)}[/tex]

Use the distributive property to multiply -11 by m-2.

17 - 12m = - 11m + 22

Add 11m to both sides.

17 - 12m + 11m = 22

Combine -12m and 11m to get -m.

17 - m = 22

Subtract 17 from both sides.

- m = 22 - 17

Subtract 17 from 22 to get 5.

- m = 5

Multiply both sides by -1.

[tex]\large\boxed{\underline{\bf \: m = -5}}[/tex]

Hope it helps.

RainbowSalt2222

i need help with this question.

Answers

The answer is F(3)= -10
According to my calculations I got -10

Write this in equation form!!!

Two less than the product of 5 and a number is -12


PLEASE ANSWER QUICKLY AND ACCURATELY WILL MARK BRAINLIESY

Answers

Answer:

(5x) - 2 = -12

Step-by-step explanation:

hope that helps

Answer:

-12

Step-by-step explanation:

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

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

HELP PLEASE URGENT!!!!

Kelly works at her own nail salon. Today, she did 11 manicures and received $46.75 overall in tips If x represents the cost of each manicure, which of the following equations can be used to find the total amount of money she eamed, including tips, for her nail salon today?


Answers

Answer:

C...11 manicure X cost of each manicure

11x

46.75 is her tips

total is 11x+46.75

Answer: y= 11x+46.75

Step-by-step explanation:

We know that Kelly did 11 manicures, we don't know how much each manicure costs so we will say that each manicure costs x amount of dollars. If Kelly receives $46.75 in tips and we need to figure out how much she made in total, we add together the tip amount and the cost of the 11 manicures. Which should look like, 11x+46.75=y

pls help what is the mode to this

Answers

Answer:

To find the mode for a set of numbers, find the number that is seen most often in the given dataset.

Step-by-step explanation:

For you to understand what I am talking about, I will give you an example:

48, 56, 7, 12, 40, 13, 39, 70, 7, 81, 83, 88, 100, 10, 0, 87

For this set, 7 is the mode because it's seen 2 times in the set while all the other numbers are seen only 1 time.

I hope it helps you!

- Rose Cordelia

The mode would be 7

Order of Operations - Use PEMDAS. Evaluate the expression. Show all work please!
18 - 2 (1 + 10 / 5)

Answers

Answer: 12

Explanation:
18-2(1+10/5)
18-2(1+2)
18-2(3)
18-6
12
Bodmas

18-2(1+10/5)
First if all divisions
18-2(1+2)
Open bracket
18-2-4
18-6
12
12 final answer

A textbook is 14/15 inch thick. How many
textbooks can be stacked on a shelf that is
56 inches high?

Answers

Answer:

60 textbooks

Step-by-step explanation:

1) 56*15:14=60

Answer:

60 textbooks

Step-by-step explanation:

To get the answer, you have to divide 56 by 14/15. What I'd do is id think of 56  

as 56/1. I'd change 14/15 into a multiplicative inverse/reciprocal, ending up with 15/14. From there, id multiply 56/1 and 15/14, ending up with 840/14.Using long division, id do 840 divided by 14, ending up with 60.

Help!!
I need help with my math!!

Answers

Step-by-step explanation:

[tex]thank \: you[/tex]

50+75=125
125-180=55
The answer equal to 55

In which pair do both decimals represent rational numbers?

A. 0.397 and 0.8999...
B. 2.28182845904523536... and 0.8999
C. 9.1426535893793238... and 0.397
D. 9.1426535893793238... and 0.8999...

Answers

Answer:

Option b

step by step explanation:

Answer:

Option (A)

Step-by-step explanation:

0.296 and 0.9888 is correct because rational no are terminating and repeating ..

What happened that caused Nollie's housemate, Katrien, to arrive at the ten Boom's house in an emotional state?

Answers

Answer:

Nollie told the police that Annaliese was a Jew

Step-by-step explanation:

Graph y = 2x + 2 * Make a table of ordered pairs

(photo attached)

Answers

2 Times + 2 =4 table of a pair
2x +2=4 table of a pair

Determine whether each sequence is an arithmetic sequence. If yes, then state the common difference.
4, 7, 9, 11, 12,...

Answers

Answer:

Not arithmetic

Step-by-step explanation:

Arithmetic sequences go up by the same number or down by the same number.

From 4 to 7 thats up by 3

From 7 to 9 that's up by 2

Conclusion: not arithmetic

Answer:

The sequence is not an arithmetic sequence.

Step-by-step explanation:

4 is getting added by 3 to get 7

7 is getting added by 2 to get 9

9 is getting added by 2 to get 11

11 is getting added by 1 to get 12

As you can see, the sequence is not consistent. Therefore, it is not an arithmetic sequence.

pls help with part b only thank you​

Answers

Answer:

The scale factor is k = 1/30

a)

The length of the wing on the model:

9 m * 1/30 = 900 cm * 1/30 = 30 cm

b)

The area of the tail section of the plane:

80 cm² : (1/30)² = 80 cm² * 900 = 72000 cm² = 72000 * (1/100)² m² = 7.2 m²

Answer:

The real plane's tail section is 2400 cm^2

Step-by-step explanation:

Well since the model is 1/30 of the real planes size

By multiplying the area of the tail section by 30 we should get the area of the real tail section in the plane

80*30= 2400 cm^2

The real plane's tail section is 2400 cm^2

write an equation that equals 6 PLS HELP IM STRUGHLING ITS 2 AM​

Answers

Answer:

4+2

Step-by-step explanation:

√ 36 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Hii! Please helpppp!! This was due like 3 days ago lol

Answers

Fergus has 3 1/4 cups of oats

= 13/4 cups of oats

Oatmeal bars = 2 2/3

= 8/3 cups of oatmeal used

Therefore cups of oats left = 13/4 - 8/3

= 39/12 - 32/12

= 7/12 cups of oats left

She borrowed 1 cup of oats from neighbour

7/12 + 1/1

= 7/12 + 12/12

= 19/12 cups of oats

Blueberry oats muffin = 1 3/4 cups of oats

= 7/4 cups of oats

Total she will have now = 19/12-7/4

= 19/12 - 21/12

= - 2/12

= -1/6

Which means she needs 1/6 cup of oats more

Therefore its option 4

Must click thanks and mark brainliest

Answer:

she needs 1/6 more so the last option! looking at the pic i dont think you need to show the work :)

Step-by-step explanation:

Rachel bought 2.5 pounds of cookies for $13.40. Her friend buys 4.5 pounds of crackers for $24.75. Which is less
expensive per pound? By how much? (HINT: Find the unit rate for each, then find the difference)

Answers

the answer would be the crackers are more expensive per pound and by $0.14. if you divide the price of the cookies by the amount of pounds you would come up with about $5.36 per pound. and if you do the same with the crackers it would be about $5.50 per pound.
Cookies are less expensive

solve the following equation. answer in terms of a mixed number. 7(2x+6)=1

Answers

Answer:

[tex]7(2x + 6) = 1 \\ 14x + 42 = 1 \\ 14x = - 41 \\ x = - 2 \frac{13}{14} [/tex]

7(2x+6)=1
14x+42=1
14x=1-42
14x=-41
x=-41/14
=-2 13/14

Ruth bought cupcakes for her sister's birthday party. 14 cupcakes had sprinkles on top. The other 21 cupcakes did not have sprinkles. What percentage of the cupcakes had sprinkles?

Answers

Answer:

40%

Step-by-step explanation:

total cupcakes: 14+21 = 35

Percentage with sprinkles = sprinkles / total

                                           = 14/35

                                           =.4

                                          = 40 %

Answer:

40%

Step-by-step explanation:

14 + 21 = 35

14/35 × 100 = 40

Therefore 40% of the cupcakes had sprinkles

**TIMED** I REALLY NEED HELP

Answers

Answer:

24 students

Step-by-step explanation:

(20 + 23 + 25 + 28)/4

= 94/4

= 24

hope it helps!

The answer is 24 students

Determine whether each sequence is a geometric sequence. If yes, then state the common ratio.
120, -60, 30, -15,...

Answers

Answer:

This is a geometric sequence with a common ratio of -1/2

Step-by-step explanation:

Take the second term and divide by the first term

-60/120 = -1/2

Take the third term and divide by the second term

30/-60 = -1/2

Take the fourth term and divide by the third term

-15/30 = -1/2

This is a geometric sequence with a common ratio of -1/2

120 ,-60 , 30 , -15 1

Please help me! I will give brainly!



Example: To do the answer draw on my screenshot. So then you can make the dots.

Answers

Here is the graph!
_______________
Here you go, you just find the amount of books sold on that day and match it up
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