The sum of three consecutive even integers is 642. What are the integers? (Show your work too please)

Answers

Answer 1

Answer:

212,214,216

Step-by-step explanation:

n+n+2+n+4=642

add the n's and 2 and 4

3n+6=642

subtract 6 from both sides

636 divided by 3

you get 212 then add 2 twice.

Answer 2

Answer:

212, 214, 216

Step-by-step explanation:

Basically you can divide 642 by 3 to find the average number of the 3.  get You get 214, so that means 214 + 214 + 214 = 642

We need consecutive EVEN integers though, so you can take the one even BEFORE and then one even AFTER 214

This means 212 and 216 are used as they are 2 before and 2 after, so when added they still total 642.


Related Questions

if the sum of interior angles of a polygon is 30 right angles how many sides does the polygon

Answers

Answer:

17 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here sum = 30 × 90° = 2700° , then

180° (n - 2) = 2700° ( divide both sides by 180° )

n - 2 = 15 ( add 2 to both sides )

n = 17

Answer:

17 sides

Step-by-step explanation:

-Let the number of sides of the polygon be n

The sum of the interior angles of a polygon of n sides is.180° (n−2)

The sum of interior angles =30×90°

30×90° =180°(n−2)

15=n−2

n=17

Use deductive reasoning to select a valid conclusion. If a quadrilateral is a rhombus, then it is also a parallelogram. Quadrilateral ABCD is a rhombus.A. Quadrilateral WXYZ is a rhombusB. No valid conclusionC. Quadrilateral ABCD is a parallelogramD. Every quadrilateral is a rhombus

Answers

Answer:

No valid conclusion

Step-by-step explanation:

- All rhombuses are parallelograms

- Not all parallelograms are rhombuses because a rhombus has four equal-length sides and a parallelogram has equal opposite sides.

- all squares are rhombuses but not all rhombuses are squares because a square has 4 right angles (90 degrees) and a rhombus has equal opposite angles

-2(7a+9b)=[ ] a + [ ] b

Answers

Hey there!

-2(7a + 9b)

DISTRIBUTE -2 WITHIN the PARENTHESES

= -2(7a) - 2(9b)

= -14a - 18b

Therefore, your answer is: -14a - 18b

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

4(a+x)-b=16 solve for the variable x (pls help me)

Answers

Answer:

x = [tex]\frac{16+b-4a}{4}[/tex]

Step-by-step explanation:

4(a + x) - b = 16 ( add b to both sides )

4(a + x) = 16 + b ← distribute parenthesis on left side

4a + 4x = 16 + b ( subtract 4a from both sides )

4x = 16 + b - 4a ( divide both sides by 4 )

x = [tex]\frac{16+b-4a}{4}[/tex]

3(x+1)-6=5x - 2(1+x)

Answers

Answer:

-3 = -2

Step-by-step explanation:

3 (x + 1) - 6 = 5x - 2 (1 + x)

3x + 3 - 6 = 5x - 2 - 2x

3x - 3 = 5x - 2 - 2x

3x - 3 = 3x - 2

= -3 = -2

how do i solve each of these

Answers

Answer:

can you attatch a clearer image than that and tell me when you do

Step-by-step explanation:

1/10p=p-279


1/2p =p-155

Answers

Question 1: Given [tex]1/10p=p-279[/tex] find [tex]p[/tex]

Answer:

[tex]p=310[/tex]

Step-by-step explanation:

1. Subtract [tex]p-279[/tex] from both sides: [tex]279-\frac{9p}{10}=0[/tex]

2. Subtract [tex]279[/tex] from both sides: [tex]\frac{9p}{10}=-279[/tex]

3. Multiply both sides by reciprocal [tex]\frac{10}{9}[/tex]: [tex]p=310[/tex]

Question 2: Given [tex]1/2p=p-155[/tex] find [tex]p[/tex]

Answer:

[tex]p=310[/tex]

Step-by-step explanation:

1. Subtract [tex]p-155[/tex] from both sides: [tex]155-\frac{p}{2}=0[/tex]

2. Subtract [tex]155[/tex] from both sides: [tex]-\frac{p}{2}=-155[/tex]

3. Multiply both sides by reciprocal [tex]\frac{2}{1}[/tex]: [tex]-p=-310[/tex]

4. Multiply both sides by [tex]-1[/tex]: [tex]p = 310[/tex]

Trong cơn bão số 9 vừa qua. Một cột điện cao 9m bị gió bão làm gãy ngang thân, ngọn của cột điện chạm đất cách gốc 3m. Hỏi điểm gãy cách gốc bao nhiêu mét?

Answers

AB=9m and BC=3m

Using Pythagoras theorem, In ΔABC

(AC)² +(AB)² +(BC)²

⇒(AC)² =(9)² + (5)²

⇒(AC)² =81 + 25

⇒(AC)² =106

⇒AC=10.3m

=AC+CB=10.3+3=13.3m

1. Pre calc HELP ASPA BRAINLIST AND 100points

Let f(x) =√(x) . Find a formula for a function g(x) whose graph is obtained from (f) using the given sequence of transformations.

(1) shift left 9 unit(s)

(2) compress horizontally by a factor of 2

(3) shift down 4 unit(s)*

g(x)=?

Answers

Answer:

From this in-depth examination we aimed to draw out some of the key ... closely their business case and employ model makers to create a 3D prototype.

Step-by-step explanation:

Raina buys candy that costs $5 per pound. She will buy more than 11 pounds of candy. What are the possible amounts she will spend on candy? Use c for the amount (in dollars) Raina will spend on candy.

Answers

c represents what she shall spend

c < (11)($5)

What did you learn, observe and discover in this pr

Answers

This doesn’t make since

40% of students took a lunch home. if 220 students took a lunch, how many students are in the school

Answers

uhm, i think it would be 550 but im not entirely sure.

Answer:

550

Step-by-step explanation:

220 = 40%

5.5 = 1%

5.5 x 100 = 1% x 100

550 = 100%

Answer question correctly. I really need this. God bless you.

Answers

5/3 (a)(x)(b)(xx)(c)(a^3)

5/3 (a^4)(b)(c)(x^3)

-2.07 (a^2)(x^3)(a^2)(b)

-2.07 (a^4)(b)(x^3)

-7/6 (a^2)(x^3)(c)(a^2)(b)

-7/6 (a^4)(b)(c)(x^3)

Notice that only the first and third monomials (when simplified) contain the exact same variables with the same exponents. Therefore, those are the only two monomials we can add together.

(10/6 - 7/6)(a^4)(b)(c)(x^3) - 2.07(a^4)(b)(x^3)

(1/2)(a^4)(b)(c)(x^3) - (2.07)(a^4)(b)(x^3)

(a^4bx^3)(1/2c - 2.07) --- Factored form

Since this expression has two terms, it is a binomial.

Hope this helps!! :)

how much hours is between 6:00 am to 7:45 am​

Answers

Answer:

the answer is 1 hour & 45 minutes

Answer:

There is one hour.

Step-by-step explanation:

7:45

-6:00

----------

1:45

this bascially means there is one hour with a remainder of forty-five minutes.

A company owns two dealerships. The first dealership sells a total of 138 vehicles (cars and trucks). The second dealership sells half as many cars and five times as many trucks as the first dealership, and sells a total of 213 vehicles (cars and trucks).

How many cars do the two dealerships sell in total?

Answers

244.5 because 213/2=106.5+138=244.5

How many ways can the letters in the word ASK be arranged?

Answers

Answer:

6 ways

Step-by-step explanation:

ASK

AKS

SKA

SAK

KAS

KSA

Given x || y and mZ1 = 42° .
What is m26?
Enter your answer in the box.

Answers

Answer:

42

Step-by-step explanation:

since x is parallel to y m 26 remains constant

A rectangular garden is 15 feet wide. Its length is 4 feet more than twice the width. What is the area of the garden?

Answers

Step-by-step explanation:

l = length

w = width = 15 ft

l = 2×w + 4 = 2×15 + 4 = 30 + 4 = 34 ft

the area of a rectangle is

area = l × w = 34×15 = 510 ft²

I need help with this please

Answers

Answer:

the answer is 46.278

Step-by-step explanation:

the formula to find perimeter is πR + d

3.142 × 9 = 28.278 (that's pi times your radius)

28.278 + 18 = 46.278 (add your diameter to the previous problem to get the perimeter)

what is the equation

Answers

[tex]y = {(x - 3)}^{3} [/tex]

Step-by-step explanation:

The graph is indeed cubic and because y is 0 at 3 that means the graph is shifted to the right 3 units, so to write that as an equation we put -3 in the parentheses with the x. Also because it's a cubic graph the domain and range is infinite. If you read the statement above the chart it says a continuous graph. the chart is there to help identify the type of graph not to identify the domain and range

Ashley correctly compares the values of the digits in 644.66. Select the comparison Ashley could have made.
The value of the hundredths digit is 10 times the value of the tenths digit.
O The value of the ones digit is
1
100
the value of the tens digit.
The value of the tens digit is 10 times the value of the ones digit.
The value of the hundreds digit is 100 times the value of the hundredths digit

Answers

the 4 in the tens place is ten times the value of the 4 in the ones place

Answer:

The value of the hundreds digit is 100 times the value of the hundredths digit

Step-by-step explanation:

A dilation has a center​ (0,0). Find the image of point B (7/5,-5,4) for the scale factor 1/6

Answers

Answer:

Multiply the coordinate by the scale factor, 1/5 to get (7/25,-5/20).  You can simplify this to (7/25, -1/4)

Consider the diagram below. The large rectangle represents a piece of construction paper. The small rectangle represents a piece of the construction paper that has been cut out. The area of the large rectangle is 100 cm2. The area of the small rectangle is 25 cm2. What is the area of the construction paper that remains?

Answers

Answer:

75 cm^2.........

............

Write and solve the inequality. In Mine craft your current diamond count is 30. If you get 15 diamonds per day how many days will it take for you to get no less than 1,200? PLEASE SHOW WORK

Answers

Answer:Explanation is in a file

Step-by-step explanation:cuft.ly/4RqtIvk

please help me with this. i have trouble finding the slopes in these problems.

Answers

Answer:

Slope = rise over run

So you start where the line hits the corner which is at (4,1) and until it hits a corner again which is at (7,5)

Step-by-step explanation:

The slope is 4/3

To find the slope, you must choose two points on the graph that you could use to compare the vertical change (the rise) to the horizontal change (the run).

We can use points (4, 1) and (7, 5) and plug these values into the slope formula.

Let (x1, y1) = (4, 1)
(x2, y2) = (7, 5)

Use the slope formula:

m = (y2 - y1)/(x2 - x1)

m = (5 - 1)/(7 - 4)
m = 4/3

Therefore, the slope of the line is 4/3.

Please mark my answers as the Brainliest if you find this helpful :)

Mary and Aperna worked together to mow a neighbour’s lawn. They were paid $25.50. To split the money equally, Mary wants to divide by 2. Aperna disagrees and says that they need to multiply. By how much do they need to multiply? Explain.

Answers

Answer:

none just divide and get 12.57

What is the product?
2а- ?
За2
2a2 - 11a+ 14
a
3
а-2
за
а-2
За
a+2
3
a+2

Answers

The answer is 3a/a-2

The product of the Expression is 3/ (a-2).

What is Expression?

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

We have,

(2a - 7)/ a x (3a²)/  (2a² -11a + 14)

Now, simplifying the expression as

(2a - 7)/ a x (3a²)/  (2a² -11a + 14)

= (2a - 7)/ a x (3a²)/  (2a² -7a - 4a + 14)

= (2a - 7)/ a x (3a²)/  a (2a -7) -2 (2a- 7)

= (2a - 7)/ a x (3a²)/ (a- 2)(2a-7)

= 3a² / a(a-2)

= 3/ (a-2)

Thus, the product is 3/ (a-2).

Learn more about Expression here:

https://brainly.com/question/14083225

#SPJ7

Find the price of each product after a discount and tax is applied. Phone
charger: $16.55 Discount Rate: 30% Tax Rate: 6%

Answers

Answer:

discount rate: 11.585. tax rate: 15.557 can I get brainleist

Solve for h.
-49 = 7h
h =

Answers

Answer:

h = -7

Step-by-step explanation:

Given:

-49 = 7h

Divde both sides by 7:

-7 = h

Check:

-49 = 7h

-49 = 7(-7)

-49 = -49 ✅

The answer is h=-7 because when the number has a letter, you divide both sides by 7 and -49 divided by 7 is -7

Monique ordered pizza and paid $38.90 online. She wants to tip the delivery person
15%. How much will Monique pay the delivery person?

Answers

Answer:

$5.835

Step-by-step explanation:

38.90 x 15%

=38.90 x 0.15

5.835

so Monique pay the delivery person

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