The sum of 5 consecutive even numbers is 200

Answers

Answer 1

Answer:

36, 38, 40, 42, 44

Step-by-step explanation:

We can denote an even number as 2n (where n is a natural number).

Each consecutive even number will be 2 more than the previous number.

Let 1st number = 2n

⇒ 2nd number = 2n + 2

⇒ 3rd number = 2n + 4

⇒ 4th number = 2n + 6

⇒ 5th number = 2n + 8

Sum of all 5 numbers is 200.  

⇒ 2n + 2n + 2 + 2n + 4 + 2n + 6 + 2n + 8 = 200

⇒ 10n + 20 = 200

⇒ 10n = 180

⇒ n = 18

If n = 18, then 2n = 36

Therefore, the numbers are 36, 38, 40, 42, 44


Related Questions

the difference of 7 and the product of 4 and a is 11

Answers

Answer:

7 - 4a = 11

Hope this helps!

PLEASE HELP 30 points
Select the correct answer.
Simplify the expression.
$768x845
OA. 4x2y $34
B. 4x2y2 3x2y
O c. 2xy2 +2x
OD. 4r3y +3.72
Reset

Answers

Answer:

A

Step-by-step explanation:

Given expression:

[tex]\sqrt[4]{768x^8y^5}[/tex]

Using rule [tex]\sqrt{ab} =\sqrt{a} \cdot \sqrt{b}[/tex]

[tex]=\sqrt[4]{768}\cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^5}[/tex]

Prime factorization of 768:

[tex]=\sqrt[4]{2^8\cdot3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^5}[/tex]

[tex]=\sqrt[4]{2^8} \cdot \sqrt[4]{3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^5}[/tex]

Using rule [tex]a^{b+c}=a^ba^c[/tex] :

[tex]=\sqrt[4]{2^8} \cdot \sqrt[4]{3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^{4+1}}[/tex]

[tex]=\sqrt[4]{2^8} \cdot \sqrt[4]{3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^4y^1}}[/tex]

[tex]=\sqrt[4]{2^8} \cdot \sqrt[4]{3} \cdot \sqrt[4]{x^8} \cdot\sqrt[4]{y^4} \cdot\sqrt[4]{y}[/tex]

Using rule [tex]\sqrt[a]{b^c} =b^{\frac{c}{a}}[/tex] :

[tex]=2^{\frac84}} \cdot \sqrt[4]{3} \cdot x^{\frac84}\cdot y^{\frac44} \cdot \sqrt[4]{y}[/tex]

[tex]=2^2 \cdot \sqrt[4]{3} \cdot x^2\cdot y \cdot \sqrt[4]{y}[/tex]

[tex]=4 \cdot \sqrt[4]{3} \cdot x^2\cdot y \cdot \sqrt[4]{y}[/tex]

Gather like terms:

[tex]=4 \cdot x^2\cdot y\cdot \sqrt[4]{3} \cdot \sqrt[4]{y}[/tex]

[tex]=4x^2y \sqrt[4]{3y}[/tex]

Which of the following are exterior angles? Check all that apply.
4
6
5
U A. 25
I B. 26
OC. 21
D. 24
O E. 22
F. 23

Answers

The angles that are exterior angles in the given diagram are:

A. ∠5

B. ∠6

E. ∠2

F. ∠3

What is an Exterior Angle?

An exterior angle can be described as an angle that is formed between the side of a polygon and the adjacent side that extends out of the polygon.

From the image given, ∠2, ∠3, ∠5, and ∠6 are angles formed between a side of the triangle and an extended side.

Therefore, the exterior angles are:

A. ∠5

B. ∠6

E. ∠2

F. ∠3

Learn more about exterior angles on:

https://brainly.com/question/2546141

#SPJ1

WILL GIVE BRAINLIEST!!!!!this stop sign is a regular octagon. The length of one side is 8 inches and the length of the apothem is 9 inches. Find the area of the stop sign.

Answers

Answer:

A≈309.02

Step-by-step explanation:

A=2(1+square root of 2)a^2

Find the meadin for these job salaries

Answers

[tex]Answer:[/tex]

The median is $[tex]40,000[/tex]

To find a median, find the averaging number, rather the middle number.

The middle number will always be your answer.

$40,000 is the answer for the median


Work out the sizes of angles a, b and c. Give reasons for your answers.

Answers

Answer:

I think that you are wrong with that question

Answer:

a = 50° , b = 60° , c = 70°

Step-by-step explanation:

a and 130° are adjacent angles on a straight line and sum to 180° , then

a = 180° - 130° = 50°

b and 60° are vertically opposite angles and are congruent , so

b = 60°

the sum of the 3 angles in a triangle = 180° , that is

a + b + c = 180°

50° + 60° + c = 180°

110° + c = 180° ( subtract 110° from both sides )

c = 70°

There is a rope running from the
top of a flagpole to a hook in the
ground. The flagpole is 6 meters
high, and the hook is 8 meters
from its base. How long is the
rope?
Can someone help me pls!

Answers

Answer:

The length of the rope = 8.94 meters

Step-by-step explanation:

The flagpole is 8 meters high

The hook is 4 meters from its base and the hook is in the ground

The flagpole and the ground ⊥ to each other

By using Pythagoras theorem:

The length of the rope = √(8² + 4²) = 5√5 = 8.94 meters

The sum of two
numbers is 184 and
their difference is 2.
find the two numbers.

Answers

Answer:

128 and 56

Step-by-step explanation:

to confirm this, you can add both numbers. 128+56 which equals to the answer, which is, 184!

what is the value of X

Answers

Answer:

40

Step-by-step explanation:

Solve for X, and show the equation you would use to solve.

Answers

Opposite interior angles are equal, so

4x - 10 = 2x + 20

2x - 10 = 20

2x = 30

x = 15

Answer:

4x-10=2x+20(being alternate angle)

or,4x-2x=20+10

or,2x=30

or,x=30/2

or,x=15

again,

4x-10 (putting the value of x)

=4×15-10

=60+10

=70

2x+20 (putting the value of x)

=2×15+20

=30+20

=50

-------------

solved !!!

-------------

2+2=
XD
just points
WRITE EVERYTHING

Answers

Answer:

2+2=4, because 2 is made up of two ones and theres 2 2's which makes it 1+1+1+1=4

Step-by-step explanation:

Answer:

2 + 2 = 4.

Step-by-step explanation:

2 plus 2 is equal to 4.

You move 2 spaces to the right on a number line:

2 -> 3 -> 4

Therefore, 2 + 2 = 4.

I hope this helps!

In a sale a bed originally priced at $30 000
was reduced by 20%.
At the end of the week this sale price
was reduced by 10%.
What is the new selling price of the bed?

Answers

The answer is 5508 percent

2(5x + 3x2 -4) - (6x - 9)

Answers

Answer: X=3

Step-by-step explanation:

and the answer to the problem is 4x+13

Answer: 4x+13



Solution Steps

2(5x+3×2−4)−(6x−9)

Multiply 3 and 2 to get 6.

2(5x+6−4)−(6x−9)

Subtract 4 from 6 to get 2.

2(5x+2)−(6x−9)

Use the distributive property to multiply 2 by 5x+2.

10x+4−(6x−9)

To find the opposite of 6x−9, find the opposite of each term.

10x+4−6x−(−9)

The opposite of −9 is 9.

10x+4−6x+9

Combine 10x and −6x to get 4x.

4x+4+9

Add 4 and 9 to get 13.

4x+13

In the figure below, which answer choice correctly identifies the name of two line segments?


A.
B.
C.
D.

Answers

Answer:

C.

Step-by-step explanation:

A line segment has a bar above with no arrow heads.

Answer: C.

QP PQ the answer would be C

Completing proofs involving linear pairs.

Answers

Answer:

Try a,d,b,a

Step-by-step explanation:

I agree with the guy above me

2x+2x+2=4x+2 what does it equal

Answers

Answer:

4x+2=4x+2

Step-by-step explanation:

If you spin the spinner 100 times, how many times do you expect it to stop at 8?

Answers

Answer:

1/100 times because for every time it spins, then it will land on 8 at least 1/100 times.

Based on the lengths of the segments in the ellipse below, how long is the major axis of the ellipse? Show your work.

Answers

Check the picture below.

the distances d1 and d2 are for this ellipse 7 and 3 respectively, keeping in mind that their sum is always the same, namely d1 + d2 is always the same 10 no matter where on the ellipse you move the point, notice in the picture, if we move d1 to the extent that lies flat right on top of d2, we have the length of d1 in purple, plus the length of d2, which we later colored in darkyellow, if we move d2 to the right-hand-side or the tail of d1, we'd end up with the ellipse's major axis, which is oddly enough, d1 + d2.

Keisha's fish tank has 13 liters of water in it. She plans to add 4 liters per minute until the tank has at least 41 liters. What are the possible numbers of minutes Keisha could add water? Use t for the number of minutes. Write your answer as an inequality solved for t.

Answers

Answer:

7≥t

Step-by-step explanation:

The tank already has 13litres of water in it.

Keisha plans on increasing the quantity of the water to 41 litres. Hence,

41 litres - 13litres = 28litres

The above implies that she needed 28litres to be added to the fish tank.

She adds 4 litres per minute

Now, the question can now be reframed as how many minutes will be needed to add 28litre.

Considering to proportion method

4litres = 1 minute

28litres = t minutes

4litres × t minutes = 28litres

t = 28/4

t = 7 minutes

Hence, at least 7 minutes will be needed to increase the quantity of the tank water from 13litres to 41litres

But since we are to write the answer in an inequality form.

41≥ 13+4t

Solve for t

41≥13+4t

41-13≥4t

28≥4t

Divide both sides by 4

28/4≥4t/4

7≥t

questions in picturessss

Answers

Answer:

Question 4: C

Question 5: 26

Question 3: 560

Step-by-step explanation:

The length of a movie is 1 hour 45 minutes. Mary has already watched the first 55 minutes.
How many more minutes does the movie last? Which equation did you use to find the answer

Answers

Answer:

50 minutes left

Step-by-step explanation:

1 hour is 60 mins

60 mins+45mins=105 mins

105-55=50

50 mins left

Answer:

50 minutes remaining in the movie

Step-by-step explanation:
1 hour= 60 minutes 

+45 minutes 

----------------------

105 minutes in movie total

- 55 minutes watched 

----------------------

50 minutes remaining in the movie

PLS HELP 100POINTS BRAINLIEST

Answers

Answer: A Draw and label a net for the pyramid

Step-by-step explanation:

Because I know

how to do this stuff

#b

Area of triangle:-

1/2BH1/2(8)(10)4(10)40mm²

Area of 4 triangles=40(4)=160mm²

Area of base:-

8²64mm²

TSA:-

64+160224mm²

Solve for r.

6+ -6 = r

What’s r?

Answers

Answer:

0

Step-by-step explanation:

x-4=12 What IS The Answer

Answers

Answer:

x = 16

Step-by-step explanation:

Add 4 to both sides, in order to isolate x:

x - 4 = 12

x = 16

So, x = 16

Four plus twice a number

Answers

Answer: 2x + 4

Step-by-step explanation:

Answer:

4 + 2x

Step-by-step explanation:

Let x be the number:

Four plug = 4 +Twice a number: 2xPut them together: 4 + 2x

I hope this helps!

Ariana charges $15 per ticket for a meet-and-greet plus $5 for parking. Due to a flu, she can only have at most 5 people attending. The total cost is a function of the number of people attending and is modelled by y = 15x + 5. What is a possible domain for this situation?

Answers

Answer and  explanation:

Possible domain of function includes from number one person attending to number 5 person attending

Find attached

What is the length, in units, of side B’C?

Answers

Answer: 1.25

Step-by-step explanation:

Write the equation of the line that passes through the points (-6,6) and (7,7)

Answers

Answer:

y = 1/13 x + 84/13 or 13y = x + 84

Step-by-step explanation:

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

= (7 - 6) / [(7 - (-6)]

= 1 / 13

Solve for b. Use (-6, 6)

y = mx + b

6 = 1/13 (-6) + b

6 = -6/13 + b

6 + 6/13 = b

84/13 = b

Substitute the m and b:

y = mx + b

y = 1/13 x + 84/13 or 13y = x + 84

12+6÷4-3=

what's the answer?​

Answers

Answer:

first, you would divide because P.E.M.D.A.S. so 6/4=1.5 then you would add 12 making it 13.5 and -3 is 10.5

Step-by-step explanation:

mr clean

Answer:

10.5

Step-by-step explanation:

Using PEMDAS,

12 + 6 / 4 - 3

12 + 1.5 - 3

13.5 - 3

= 10.5

A triangle has sides with lengths of 6 feet, 16 feet, and 17 feet. Is it a right triangle?

Answers

No it isn’t a right triangle

Answer:

No.

Step-by-step explanation:

This is not a right triangle. Use the Pythagorean Theorem, [tex]a^{2} + b^{2}=c^{2} \\[/tex], but write it as [tex]c^{2}= a^{2}+b^{2}[/tex]. The hypotenuse would be 17 feet, so you can insert 17 as [tex]c^{2}[/tex]. [tex]a[/tex] and [tex]b[/tex] could be 6 or 16. It can be written either way. The simplified equation would be:

[tex]c^{2}=a^{2} +b^{2} \\17^{2} = 6^{2} + 16^{2} \\17^{2} = 36+ 256\\17^{2}= 292\\289\neq 292[/tex]

This isn't a right triangle.

I hope this helped :)

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