A set of 4 consecutive odd integers has a sum of 216. What are the integers?​

Answers

Answer 1

Answer:

Hope this helps!!

Step-by-step explanation:

So the four consecutive odd integers are: 51 , 53 , 55 and 57 .

If the first integer is n, then the other three are n+2,n+4 and n+6

and we have:

216=n+(n+2)+(n+4)+(n+6)=4n+12

Subtract 12 from both ends and transpose to get:

4n=204

Divide both sides by 4

to get:

n=51

So the four consecutive odd integers are:

51,53, 55 and 57.


Related Questions

a symbol that stands for a quantity that can change or have any one of a set of values.

Answers

Answer:

Variable

Step-by-step explanation:

I don’t understand please help!!!

Answers

Answer:

The answer

Step-by-step explanation:

Explanation

Find the value of x that makes each parallelogram the given type (answer both please)

Answers

Answer:

a. x = 12

b. x = 4

Step-by-step explanation:

a. RECTANGLE

ABCD is a rectangle, AC and BD are its diagonals.

Diagonals of a rectangle are congruent.

Therefore,

AC = BD

10x + 8 = 9x + 20

10x - 9x = 20 - 8

x = 12

b. RHOMBUS

Diagonal of a rectangle bisect opposite angles.

Therefore,

(5x + 3)° = (2x + 15)°

5x + 3 = 2x + 15

5x - 2x = 15 - 3

3x = 12

x = 12/3

x = 4

The value of x for a rectangle will be 12.

The value of X for a rhombus is 4.

What is a parallelogram?

A basic quadrilateral containing two sets of side lengths is known as a parallelogram. There are four types of parallelograms each with diffrent kinds of properties.

a. RECTANGLE

ABCD is a rectangle, Therfore the diagonals that are made will also be equal.

AC = BD

[tex]10x +8 = 9x + 20\\10x - 9x = 20 - 8[/tex]

x = 12

b. RHOMBUS

As this is a rhombus that is presented, the angle which is divided with the help of the diagonal will both be equal.

5x + 3 = 2x + 15

5x - 2x = 15 - 3

Simplifying the equation,

3x = 12

x = 12/3

x = 4

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The length of each side of an equilateral triangle is increased by 5 inches, so the perimeter is now 60 inches. Write and solve an equation to find the original length of each side of the equilateral triangle.

Answers

Answer:

The original length of each side of the equilateral triangle = x =15 inches

Step-by-step explanation:

Let Original length of side of equilateral triangle = x

If it is increased by 5 inches, the length will become = x+5

Since in equilateral triangle all the ides have same length so,

New Length of side 1 = x+5

New of side 2 = x+5

New Length of side 3 = x+5

Perimeter of triangle = 60 inches

We need to find the value of x

The formula used is: [tex]Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3[/tex]

Putting values in formula and finding x

[tex]Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3\\60=x+5+x+5+x+5\\60=3x+15\\60-15=3x\\45=3x\\x=\frac{45}{3}\\x=15[/tex]

So, the original length of each side of the equilateral triangle = x =15 inches

Gerald inherited $35,000 from his uncle. He spends $1400 a month. After how many months
will Gerald have less than $2,000?

Answers

Answer:

18 months

Step-by-step explanation:

35,000÷18=1944

First, we need to figure out the amounts of months that Gerald has total, with all of the money.  So, we divide 35000 by 1400, this leaves us with 25.  So, if he keeps spending 1400 per month, it will last him 25 months, but this is not what the question asks, is it?  In 25 months, his inheritance will be fully depleted, in 24 months he will have spent 33,600 dollars, meaning he will have 1400 dollars left (35000 - (24 * 1400))and in 23 months, he will have spent 32,200 dollars, meaning that he will have 2800 dollars.  

"In 24 months he will have spent 33,600 dollars, meaning he will have 1400 dollars left 35000 - (24 * 1400)"

35000 - (24 * 1400)

24 months

Evaluate: f(x)=3x-10 if x=-1

Answers

Answer:

-13

Step-by-step explanation:

f(x)=-3-10

f(x)=-13

Answer:

-13

Step-by-step explanation:

if x=-1 then 3x=-3-10=-13

find x and y

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

Answers

Answer:

If the "-" after "3y" is a typo, then y = 8/7, x = 24/7

Step-by-step explanation:

What is the equation in slope-intercept form of the line that crosses the x-axis at (36, 0) and is perpendicular to the line represented by y=−49x+5

Answers

Answer:

y = 1/49x

Step-by-step explanation:

perpendicular lines have slopes that are opposite reciprocals. the y intercept is the second number in the point given (x,y). so the y intercept is 0

Answer:

b

Step-by-step explanation:

Please answer ASAP!!!

Answers

Answer:

The second one, I believe.

Step-by-step explanation:

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Answers

Answer:

3

Step-by-step explanation:

you have to do it then multiply by three

The regular price of a dress is $80. The price
has been marked up by 23%. What is the
amount of markup?
[A] $18.40
[B] $57.00
[C] $23.00
[D] $61.60

Answers

Answer:
A $18.40

Explanation:

Answer:

A

Step-by-step explanation:

Maisie bought a house.
The value of the house decreased by 10% in 2016.
For three consecutive years, 2017, 2018 and 2019 the value of the house
increased.
Each year the percentage increase in value was the same each time.
The value of the house at the end of 2019 was 55.52% more than he paid for
the house.
Calculate the percentage increase in value of the house for each of the three
consecutive years.

Answers

The percentage increase in the value of the house each of the three years is 11.49%.

What is the percentage increase in the value of the house?

The equation that can be used to represent the percentage change in the value of the house is:

(100x - 10%) + 3x% = 55.52%

90% + 3x = 55.52%

90% - 55.52% = 3x

34,48% = 3x

x = 34.48/3

x = 11.49%

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Joanne drinks a pint of milk. Debra drinks a liter of milk. Who drinks more?

Answers

If you don't know, you can just search it up.

1 liter equals 2.11338 pints, meaning a liter is more.

Debra drinks more milk.

But holy duck?!?!?! That's a WHOLE LOTTA MILK MAN.

9514 1404 393

Answer:

  Debra

Step-by-step explanation:

A pint is about 0.473 liters, so Debra drinks more.

What is the number in standard form?

Answers

Answer:

D-87,100,000

Step-by-step explanation:

Move the decimal point from its position to the right 7 times because of the 7 indicated as the power.

Please mark as brainliest

what do we know?

what do we need to know ?​

Answers

Answer:

we need to know how many students got a B or higher by those 25 students

Step-by-step explanation:

find the missing exponent 7^(?)*(7^(5))^(4)=7^(34) place only the missing exponents value in the answer box

Answers

9514 1404 393

Answer:

  14

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

__

(7^?)(7^5)^4 = 7^34

(7^?)(7^20) = 7^34 . . . . simplify power of power

7^(?+20) = 7^34 . . . . . . simplify product

? +20 = 34 . . . . . . . . . .  equate exponents of the same base

? = 14

Answer: 14

Step-by-step explanation:

easy question... if someone starts with 100$ and adds 50 each week, how much will they have after 1 year

Answers

Answer:

They would have about $2500 after one year

Step-by-step explanation:

After a year they would have 2,500

The value of 7 in 7.825 is 10 times 1 time or 1/10 times the value of 7 in 3.7

Answers

Answer:

It is ten times the value of the seven in 7.835

Step-by-step explanation:

7.825 x 1/10 = .7825

3.7 x 10 = 37

The seven shifted to the right in place value.

I hope this helps.

Answer:

10 times

Step-by-step explanation:

7 divided 0.7=10

Identify the coordinates of the vertices of each figure after the similarity transformation.

Answers

Answer:

After translation:

Translation: (x, y)  →  (x-6, y-8)

W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)

After dilation:

Dilation: (x, y)  →  (2x, 2y), centered at (0, 0)

W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)

Step-by-step explanation:

Given the vertices of the Quadrilateral WXYZ

W(-4, 8)X(-4, 0)Y(-12, 4)Z(-8, 16)

As the rule of translation is given by

Translation: (x, y)  →  (x-6, y-8)

So, after the translation the vertices of Quadrilateral WXYZ will be translated as:

W(-4, 8)  →  (x-6, y-8) ⇒ (-4-6, 8-8) = W'(-10, 0)

X(-4, 0)  →  (x-6, y-8) ⇒ (-4-6, 0-8) = X'(-10, -8)

Y(-12, 4)  →  (x-6, y-8) ⇒ (-12-6, 4-8) = Y'(-18, -4)

Z(-8, 16)  →  (x-6, y-8) ⇒ (-8-6, 16-8) = Z'(-14, 8)

Therefore,

W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)

Next, the rule of dilation is given by

Dilation: (x, y)  →  (2x, 2y), centered at (0, 0)

W'(-10, 0)  →  (2x, 2y) ⇒ (2(-10), 2(0)) = W'' (-20, 0)  

X'(-4, 0)  →  (2x, 2y) ⇒ (2(-4), 2(0)) = X'' (-8, 0)

Y'(-12, 4)  →  (2x, 2y) ⇒ (2(-12), 2(4)) = Y'' (-24, 8)

Z'(-8, 16)  →  (2x, 2y) ⇒ (2(-8), 2(16)) = Z'' (-16, 32)

Therefore,

W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)

PLEASE HELP (100 Points!!!)

Answers

Answer:

1. E)2. C)

Step-by-step explanation:

1.

Step E)

The mistake is:

2x - 5 on the numerator

Correct way is:

3 - (2x - 8) = 3 - 2x + 8 = 11 - 2x

2.

Step C)

The mistake is:

5x = x² + 4  

Correct way is:

5x =  (x+2)²5x = x² + 4x + 4

Answer:

First picture the step E is incorrect because:

[tex]\frac{3}{(x+4)(x-4)} -\frac{2x-8}{(x+4)(x-4)}[/tex]

[tex]=\frac{-2x-5}{(x+4)(x-4)}[/tex]

Instead you should change the step E to be: [tex]\frac{-2x-5}{(x+4)(x-4)}[/tex]

Second picture the step C is incorrect because:

[tex](\sqrt{5x})^{2}[/tex] =[tex](x+2)^{2}[/tex]

[tex]5x = x^{2} +4x+4[/tex]

[tex]not[/tex] [tex]5x=x^{2} +4[/tex]

Instead you should change the step C to be: [tex]5x = x^{2} +4x+4[/tex]

Change step D to:

[tex]5x -x^{2} -4x -4=0[/tex]  

Change step E to:

[tex]x^{2}-x+4=0[/tex]

Change step F to:  

[tex]x=\frac{1+-\sqrt{1-16} }{2}[/tex]

x∉R

   

HOPE IT'S HELP U

IF IT'S WRONG I'M SORRY:3

   

 

Rosa picked some peaches from one tree,
and then she picked 8 peaches from a
different tree.
She gave 10 peaches to Sten.
She has 12 peaches left.
How many peaches did Rosa pick from the
first tree?

Answers

Answer:

points

Step-by-step explanation:

She picked 22 peaches first

you are drawing a map. two cities on the map are 7 inches apart. you know the actual distance between them is 1,750 miles. what is the scale factor for the map.

Answers

Hello betzy166817!

The correct answer is: 250 miles per inch.

You can multiply the number of inches on the map by 250 to find the number of miles.

#LearnWithBrainly

https://brainly.com/question/19520943

Please help the best you can!!

Answers

I think it is no how this help

what is the slope and y-intecept in y=3/2x+3.

Answers

Answer: its a positive slope

answer:

Step-by-step explanation:

but i dont know the y-intercept tho

Graph the intercept.
What are points?

Answers

Answer:

start at 0 and go up 3 and put a point  (your x)

start at 0 and also go up 5 and put a point  (your y)

draw  LINE HORIZONALY ACROSS THE  (LEFT TO RIGHT ) on each line

you should have two horizonal lines parallel

Step-by-step explanation:

A music company offers lessons.
They charge a registration fee of $30 and then $40 per lesson.
The equation y=40x+30 represents the total cost y of x lessons.

What would be the total cost for 3 lessons?


$150
$150

$120
$120

$180
$180

$130
$130

Answers

You replace x with 3 since it’s 3 lessons, and then you solve.The final answer would be $150.

All factors of eight

Answers

Answer:

1,2,4, and 8

Step-by-step explanation:

Find the value of x.

I tried 40 but it told me it was incorrect.

Answers

Answer:

44

Step-by-step explanation:

90 - 43 = 47

x + 3 = 47

x = 47 - 3

  = 44

I think the answer is 44. Pls check and correct me if I'm wrong.

9) Five less than the square root of a number r

Answers

What’s number R? I need to know the number in order to find the square root of it. (:

The graph below shows the numbers of cups of grape juice that are mixed with cups of lemon-lime soda to make servings of grape soda: A graph is shown. The values on the x-axis are 0, 1, 2, 3, 4, 5. The values on the y-axis are 0, 2, 4, 6, 8, 10. Points are shown on ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6 and 4, 8. These points are connected by a line. The label on the x-axis is Lemon lime Soda in cups. The title on the y-axis is Grape Juice in cups. What is the ratio of the number of cups of grape juice to the number of cups of lemon-lime soda? (1 point) a 2:1 b 1:2 c 8:1 d 1:8

Answers

Answer:

2:1

Step-by-step explanation:

I took the test

Answer:

I would say 2:1 too because for the grape, 2 is the first number which is alligned with 1 on lemon-lime

hope this helps!

Step-by-step explanation:

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