The sum of four consecutive odd integers is 328. What are the integers? show your work please

Answers

Answer 1

Step-by-step explanation:

For a formal algebraic solution, you might do something like this....

x = 1st integer

x+2 = 2nd

x+4 = 3rd

x+6 = 4th

The sum is 328:

Then solve that equation to find x and thus find the solution to the problem.

Or, if formal algebra is not required (and you want to get the answer as fast as possible)....

The average of the four integers is 328/4 = 82; the four integers are the two odd integers either side of 82 and closest to 82 -- 79, 81, 83, and 85.

Answer 2

The required consecutive odd integers are 79, 81, 83, and 85 whose sum is 328.

Given that,
The sum of four consecutive odd integers is 328. What are the integers is to be determined?

What is a number system?

A number system is represented as a process of writing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
let the consecutive odd number be
2n + 1 , 2n +3, 2n + 5, 2n + 7
Whose sum is 328. So,
2n +1 + 2n + 3 + 2n + 5 + 2n +7 = 328
8n + 16 = 328
8n = 312
n = 39
Now,
2n + 1  = 39 * 2 + 1 = 79
Similarly
2n +3 = 81
2n + 5 = 83
2n + 7 = 85

Thus, the required consecutive odd integers are 79, 81, 83, and 85 whose sum is 328.

Learn more about the number system here:

https://brainly.com/question/22046046

#SPJ2




Related Questions

a. In problem 3, figure PQRST is an image of figure VWXYZ.
Identify the corresponding angles.
2 Vand
and ZS
LZ and
Xand
and ZQ

Answers

Figure is not required .

Names of Pentagons are enough.

PQRSTVWXYZ

[tex]\\ \sf\Rrightarrow <P\sim <V[/tex]

[tex]\\ \sf\Rrightarrow <Q\sim <W[/tex]

[tex]\\ \sf\Rrightarrow <R\sim <X[/tex]

[tex]\\ \sf\Rrightarrow <S\sim <Y[/tex]

[tex]\\ \sf\Rrightarrow <T\sim <Z[/tex]

3 of the people in Isaiah's neighborhood like to draw sunsets and 6 like to draw oceans. 3 people like to draw both sunsets and oceans. How many people like to draw sunsets or oceans or both? people​

Answers

I think the answer is 12

7 > z + 18 ≥ 6 please help me!

Answers

7 > z + 18 ≥ 6

Subtract 18 from all 3 parts:

7-18 > z +18 -18 ≥ 6-18

-11 > z ≥ -12

Translate the sentence into an inequality.
Twice the difference of a number and 4 is at most - 18.
Use the variable x for the unknown number.

Answers

Let the no be x

Inequality given by

[tex]\\ \sf\longmapsto 2(x-4)\leqslant -18[/tex]

Let's solve

[tex]\\ \sf\longmapsto x-4\leqslant -9[/tex]

[tex]\\ \sf\longmapsto x\leqslant -5[/tex]

Answer:

the value of x => x≤-5

Step-by-step explanation:

2(x-4)≤-18

x-4≤-18/2

x≤-9+4

x≤-5

hope it's helpful to you

I ADDED A PIC PLZZZZZZZZZ HELP I NEED AN ANSWER

Answers

For every dollar you get 1/2 pound of grapes. It would cost 2$ per point of grapes

Someone Please help 2!!!!

Answers

EEEEEEEEEEEEEEEEEEEEEEEE

WILL GIVE BRAINLYEST!!!!!

What is the perimeter of kite WXYZ?
O 253 +2 units
0 2753 +5 units
O 2753 + 10 units
O 253 + 14 units

Answers

Answer:

+10 units

Step-by-step explanation:

The perimeter of the kite is: C. 2√53 + 10 units.

What is the Perimeter of a Kite?

Perimeter = sum of all four sides that makes up the kite.

Find the length of each side of the kite:

WX = |-3 - 2| = 5 units

WZ = |-2 - 3)| = 5 units.

Using the distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], find the length of XY and ZY:

[tex]XY = \sqrt{(4 - 2)^2 + (-4 - 3)^2} \\\\\mathbf{XY = \sqrt{53} }[/tex]

[tex]ZY = \sqrt{(-3 - 4)^2 + (-2 -(-4))^2} \\\\\mathbf{ZY = \sqrt{53} }[/tex]

Perimeter of the Kite = √53 + √53 + 5 + 5 = 2√53 + 10 units.

Perimeter of the Kite = 2√53 + 10 units.

Learn more about perimeter of kite on:

https://brainly.com/question/14074571

Are points C, G, and H collinear or noncollinear?

Answers

Answer:

collinear

Step-by-step explanation:

Answer:

Collinear

Step-by-step explanation:

solve for x 1/12=4x/3+5/3(x-7/4)

Answers

Answer:

x=1

Step-by-step explanation:

1) multiply the numbers

2) combine multiplied terms into a single fraction

3) distribute

4) combine fractions with common denominator

5) combine like terms

6) multiply all terms by the same value to eliminate fraction denominators

7) cancel multiplied terms that are in the denominator

8) multiply the numbers

9) add 35/4 to both sides of the equation

10) simplify

( add the numbers twice)

11) divide both sides of the equation by the same term

12) simplify

(divide the numbers, cancel terms that are in both the numerator and denominator, and last but not least move the variable to the left)

well and behold your answer is x=1

Please help me. Please put correct answer

Answers

Mixed Number Form:

[tex] - 1 \frac1 2[/tex]

In the number 919,827, what is the nearest thousand?

Answers

Answer: 919,80

Step-by-step explanation:

Answer:

920,000

Step-by-step explanation:

9   hundred thousands

1    ten thousands

9   thousands

8   hundreds

2   tens

7   ones

Rounding: 5 and up round up, 4 and below round down.

8 is higher than 4 so you round 919,827 to 920,000.

Solve for n.
(2^4)^2 = 2^n
n = __

Answers

Answer:

n=8

Step-by-step explanation:

(2^4)=16

16^2= 256

2^8= 256

I hope this helps!!!

Answer:

[tex] \\{ \boxed {\sf {n = 8}}}[/tex]

Step-by-step explanation:

[tex] \\ \sf( {2}^{4} )^{2} = {2}^{n} [/tex]

[tex] \\ \sf \mapsto {2}^{4 \times 2} = {2}^{n} [/tex]

[tex] \\ \sf \mapsto {2}^{8} = {2}^{n} [/tex]

[tex] \\ \sf \mapsto8 = n[/tex]

[tex] \\ \sf \therefore \: n = 8[/tex]

Which shows the linear equation −23x = 10y – 2 written in standard form?

A)
x+15y=3

cross out

B)
−23x=10y−2

cross out

C)
30y=−2x+6

cross out

D)
2x−30y=6

Answers

balls

its d lol

lni j jhbnyuhbgybuhnbuhgbuyhnhig iusdfhisdhuishnfusdifnifsifnhiuefiu nhsisjfioeifhesiufhnesiunusidfsd

Mr. Shea is collecting pennies from gumball machines in arcades. Each
arcade has 10 gumball machines with 500 pennies in each machine. If
Mr. Shea visits 30 arcades, how many pennies will he collect? Show your work.

Answers

Step-by-step explanation:

30 arcades

each arcade

10 machines

each machine

500 pennies

so, the answer is simply

500 × 10 × 30 = 150000 pennies

per machine per arcade

150,000 pennies :).

BRAINLIEST to correct answer!!

Answers

They are equally spaced so all the circles share the same center point.

they have the same centre point

Last year 2,315 people attended a game and this year 2,778 people attended. What is the percent increase in attendance?

Answers

It increased by 35% because quantum physics explains that

Answer:

20 percent

Step-by-step explanation:

From the New Number deduct Old Number i.e. 2778-2315 = 463

Divide above number by Old Number i.e. 463/2315 = 0.2

Multiply the result by 100 i.e. 0.2*100 = 20%

An equilateral triangle has a perimeter of
12
y
+
9
. What is the length of each side of the triangle?

Answers

Answer:

4y + 3

Step-by-step explanation:

Each side is equal to each other, since there are 3 sides, you divide the equation by 3.

what is n? 2(n+5)=-2

Answers

Answer:

[tex]n=-6[/tex]

Step-by-step explanation:

Thanks!!!!!

In this question, 5x squared +7, which one is the constant?

Answers

Answer:

7 would be the constant

Step-by-step explanation:

Constants are the values in an equation that never changed or are isolated. For instance, 5 would not be a constant because of the variable (x) being multiplied. Though, if it were 5+x square +7, 5 and 7 would be the constants.

40 points and brainliest
Note this has already been solved I need it graphed!
please graph.
9.5 +x <−12
10.−4x >−24
11.4< x−6≤15
12.−15≥x+ 30≥10
13.|x+ 2x|<9
14.|x−6|≥12

Answers

Answer:

Here you go

9:

10:

11:

12:

13:

I’m only giving brainlyest to the right answer

Answers

Answer: c is the right answer

Step-by-step explanation: i just did it and i got it right.

hello pls fill in the question marks :) Multiply (x + 1)^3
(x + 1)^3= (x + 1)(x + 1)^2
= (x + 1)(x^2 + 2x + 1)
= x3 + ?x^2 + ?x + ?

Answers

Answer: 3, 3, 1

Step-by-step explanation:

(x+1)³= (x+1)(x+1)²

=(x+1)(x²+2x+1)

=x³+ 3x²+3x+1

Emily has 20 chocolate chip cookies in 48 sugar cookies she wants to make baskets with the same number of cookies in each basket what is the greatest number of baskets she can make

Answers

Answer: Take your pick, Emily.

Step-by-step explanation:

1) Assuming Emily wants both Chocolate Chip(CC) and Sugar Cookies(SC) in each basket, she could make 20 baskets having 1 CC and 2 SC in each basket. That would leave 8 SC (48-40) without any matching CC.

2) If Emily doesn't care about the makeup of each basket (e.g., some baskets may have any combination of cookies), she has a total of (20 + 48) or 68 cookies. She has the following choices:

1 cookie each: 68 baskets

2 cookies each: 34 baskets

3 cookies each: 22 baskets with 2 cookies left over

And so forth.

Unless Emily was given some other condition (e.g., a minimum of 5 cookies/basket), there are many possible answers.

Neee help wit these step 1-6

Answers

Answer:

what to do now

Step-by-step explanation:

you have dance lessons every fifth day and you have skateboarding lessons every third day. today you have both lessons.in how many days will you have both lessons on the same day again

Answers

Answer:

try to find their HCF or lcm I got the same type of question

I would say the answer is every 15th day because 3 goes into 15 and so does 15, that is also the least common multiple for both. Hope that helps :)

Which of the following represents the eighth root of x to the fifth power in exponential form? (6 points)

5x^8
8x^5
x to the five eighths power x^(5/8)
x to the eight fifths power x^(8/5)

Answers

Answer:

[tex]x^{\frac{5}{8}}[/tex]

Step-by-step explanation:

8th root of x to the power fifth. This means the power will be 5/8

[tex]x^{\frac{5}{8}}[/tex]

Your choice is correct .

HELPPPPPPPPPPPPPPP PLSSSSSSS

Answers

Answer:

x = 85°

y = 85°

Step-by-step explanation:

The sum of angles in a triangle are 180°

So 29 + 66 + x = 180

Solve for x:

180 = 29 + 66 + x

Subtract 29 and 66 from both sides

85 = x

x = 85°

_______________________________________

x = y because they are vertical angles, and are congruent.

Since x is 85°, y = 85° as well

-Chetan K

Answer:

X= 85

Y= 85

Step-by-step explanation:

All angles in a triangle add up to 180.

Because we are given two of the angles of this triangle, we can solve for X.

180= 29+66+X

Therefore,

X= 180-29-66

X= 85

To solve for Y:

if two angles are diagonal from each other with no other lines intersecting the angle (as seen in this example), then the two diagonal angles are equal.

In this example, X is diagonal to Y

Therefore,

X=Y

X=85

Y=85

HELP PLEASE ASAP GIVE AN EXPLANATION.

Jack is preparing a garden space. He has enough fertilizer to cover 121 square feet. He wants to make a square garden. What should be the length of each side?

Answers

Answer:

12 im pretty sure

Step-by-step explanation:

12x12=144

this was the question that was on my test

answer is 11 bcuz ure looking for square root

help please! (will mark as brainliest)

Answers

When you plug in -3 for x and do the correct order of operations you end up with 22/4 and get 5.5

please help me! correct answer will get brainliest!

Answers

Answer:

Step-by-step explanation:

any with a decimal number  because ther is decimals and the x cordinates are in the middle  the grpha line indicating o.5 or decimla number

The answer is b as 4/-5 is equal to -0.8 and that is the gradient and the y-intercept is 4 so the ans is b
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