11.) The sum of four consecutive even
integers is 68. Find the four consecutive
even integers. What is the 3rd integer
in the sequence?

Answers

Answer 1

Answer:

Four consecutive even integers are 14, 16, 18 and 20
Third number in the sequence is 18

Step-by-step explanation:

Let N be the first even integer

Each consecutive integer is 2 away from the previous integer

Next consecutive integer = N + 2, next one = N+4 and the last one = N +6

Add these expressions together, set them equal to 68 to solve for N

==> N + (N +2) + (N +4) + (N + 6) = 68

==> N + N +2 + N +4 + N + 6 = 68

==> 4N + 12 = 68

==> 4N = 68-12

==> 4N = 56

N = 56/4 = 14

So the integers are 14, 16, 18 and 20

Third integer in the sequence is 18


Related Questions

Which of the following number lines shows the correct sum of the number above and -5/2?
A.


B.


C.


D.

Answers

There are no number linea

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Answers

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

A skateboarder travels at a sleady rate of 15 feet per second. After 4 minutes, how far will the skateboarder have traveled?

Answers

Answer:

: 3,600 feet

Step-by-step explanation:

15 x 60 x 4

Answer: 60 feet

Step-by-step explanation:

you would do 15x4 and you would get 60

Khbsbdbd AHAHAHAHA s

Answers

That makes sense.
School is stressful.
But you got this, though.
You’re doing a fabulous job.
Proud of you.

P L E A S E H E L P A S A P !!!

Answers

Answer:

The third one for the first picture and the second one for the second picture

Step-by-step explanation:

Why is 64 a perfect square, but 60 is not?

Answers

Answer:

Step-by-step explanation:

because it needs to be a number times itself to be be a perfect square

Answer:

The square root of 64 gives the original number. If you square 8, you get 64, making it a perfect square. However, 60's square root is only approximate to 60 and very close to it when squared. Therefore, it cannot be a perfect square.

Hope it helps.

whats 890 divided by 50 whats the anwser

Answers

Answer:

17.8

Step-by-step explanation:

Velma needs to crate 59 watermelons. If she can fit 7 watermelons in each crate, how many crates does she need?

Answers

Answer:

The answer would be nine

Explanation:

59 divided by 7 is 8 with 3 remaning but all must be included so you have anothr crate for the remaining the and sice 8+1=9. Velma needs 9 crates. Hope this Helps!!

what does n+6 mean as a phrase

Answers

This is an expression

This means that there is no answer, n+6 is as is until given more information

how do you solve graphs and make an equation from a line on a graph?​

Answers

Ans: To find the equation of a graphed line, find the y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. Slope is the change in y over the change in x. Find two points on the line and draw a slope triangle connecting the two points.

Always start on the y-axis.

rise/run

First things first, you have to know your positives, negatives, zeros, and undefined.

To make an equation from the graph you have to know your formula.

y=mx+b

You do the rise first. The rise on the graph is 3. The run is 2. So, that'll make it 3/2. m=slope.

b=y-axis. b=1.

y=3/2x+1 (Example from the image)

Find the area of a sector of a circle whose diameter is 21 cm and whose central angle is 10 degrees

Answers

Answer:

Area 38.484510 dm^2 (square decimeters)

Step-by-step explanation:

CAN SOMEONE PLEAEE HELP ????!!!!!! I will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

I don't know if I'm correct but the answer is 6.

Step-by-step explanation:

I'm not 100% correct, but you set the other two angles to add to each other then set it equal to angle QRS and i got x=6.

Your equation should be like this: 3x + 17 + 2x +21 = 10x -1

than you solve form there

I;m not sure that this is the correct answer and maybe i'm wrong, but hope this helps

Answer:

59°

Step-by-step explanation:

According to the given description, [tex] \angle QRS[/tex] is the exterior angle of [tex] \triangle PQR[/tex]

So, by exterior angle property of a triangle, we have:

[tex] m\angle QRS=m\angle RPQ+m\angle PQR\\\\

(10x - 1)\degree = (3x +17)\degree+(2x +12)\degree\\\\

(10x - 1)\degree = (3x +17+2x +12)\degree\\\\

(10x - 1)\degree = (5x +29)\degree\\\\

(10x - 1)= (5x +29)\\\\

10x - 5x = 29 + 1\\\\

5x = 30\\\\

x = \frac{30}{5}\\\\

x = 6\\\\

\because m\angle QRS = (10x - 1)\degree \\\\

\therefore m\angle QRS = (10\times 6- 1)\degree \\\\

\therefore m\angle QRS = (60- 1)\degree \\\\

\huge\orange{\boxed{\therefore m\angle QRS = 59\degree }}\\

[/tex]

420 presents in 15 hours at this rate how many presents does Santa deliver in 5 hours​

Answers

Answer:31500

Step-by-step explanation:hope it helps!

Answer:

140

Step-by-step explanation:

420/15=28

28x5=140

Which equation represents the hanger below. x represents the triangles while y represents the square

Answers

Answer:

Which equation represents the hanger below. x represents the triangles while y represents the square

Answer:

Step-by-step explanation:

so first divide

multiply and subtract

and think a little

there its easy :D

Please help answer!!! I am so lost
3. use the diagram shown to calculate m

Answers

Answer: 131

Step-by-step explanation:

The angle A inside the triangle is

180-162 = 18 degrees

The measure of angle N inside the triangle is

180 -  149 = 31 degrees

Now, since we have the inside angles we can find ang P

Inside Ang A + Inside Ang N + Ang P = 180

18 + 31 + P = 180

49 + P = 180

P = 180 - 49

P = 131 degrees

12. Given m || n, find the value of x

Answers

x=81°

99+x=180 so x is equal to 81

Is this the right answer?

Answers

Yep pretty sure!!!!!

(20 points) plz help i rlly need this turned in soon

Answers

Answer:

I think for the star the answer is: 14.5 but i might be wrong i haven't done this in a long time T^T

A swimming pool can be filled with water in 16 hours using 2 pumps. How many hours would it take if 8 pumps were used?​

Answers

It takes 4 hours.

2pump x 16 hours = 32 pump hours

32 pump hours / 8 pumps = 4 hours

In Science class, 23 out of 25 students are present. What percent of the class is present?

Answers

Answer:

94.25% of the class is present

An ice cream cone is shown. What is the volume of the ice cream cone? Use 3.14 for x

A. 310.86cm3
B. 34.54cm3
C. 103.62cm3
D. 414.48cm3

Answers

C 85% sure... ✌

Sorry If it’s wrong, I tried my best

Answer:

C. 103.62cm^2

Step-by-step explanation:

Volume of a cone:

πr^2h/3

= 3.14(3)^2(11)/3

= 28.26(11)/3

= 310.86/3

= 103.62

Helppppppppppppppppppppppp

Answers

Answer:

-1 5/6

Step-by-step explanation:

-2/3 + (-1 1/6)

Look carefully at he number line. Each space between whole numbers is divided into 6. That means that from one mark on the line to the very next one, the distance is 1/6.

Start at -2/3. Since we are dealing with 1/6's, convert -2/3 to 6ths.

-2/3 * 2/2 = -4/6

-2/3 is the same as -4/6, so start at -4/6. Locate 0 on the number line, and move 4 marks to the left. That is -4/6 which is the same as -2/3 and is your starting point.

Now you need to add -1 1/6. Adding a negative number is the same as subtracting a positive number. Adding -1 1/6 is the same as subtracting 1 1/6. That means you need to go left 1 1/6. Since each unit is divided into 6 equal parts, 1 1/6 is 7 marks on the number line. Starting at -4/6, count 7 marks to the left. Where you end up is the answer which is -1 5/6.

Answer: -2/3 + (-1 1/6) = -1 5/6

sin70° sin130° sin170°=1/8​

Answers

Sin 10° Sin 50° sin 70° = 1/8
Now we multiply upper & bottom both side 2/2

then

➡ 1/2 (2sin 10° sin50° 70°)

➡ 1/2 sin10°( 2sin70° sin50°)

we know that
2 sinA sinB = cos (A-B) - cos (A+B)

Then

➡ 1/2 sin 10° ( cos 20° - cos 120°)

➡ 1/2 sin 10° ( cos 20° - cos (90°+30°))

➡ 1/2 sin 10° ( cos 20° +1/2)

➡ 1/2 sin 10° cos 20° +1/4 sin 10°

again we multiply both upper & bottom side 2/2 so

➡ 1/4 ( 2 sin 10° cos 20°). + 1/4 sin 10°

we know that
2 sinA cos B = sin (A+B) - sin (A- B)

➡ 1/4 (sin 30° - sin 10°) + 1/4 sin 10°

➡ 1/4 sin 30° - 1/4 sin 10° + 1/4 sin 10°

we know sin 30° = 1/2

➡ 1/4 × 1/2

➡ = 1/8 hence proved

A teacher spends $25.00 at a store for a pens and y notebooks. The store charges $2.50 for every pen and $5.00 for each notebook.
Which graph represents the situation

Answers

Answer:ok so yes the answer is the one you selected because 25.00 devided by 2.50 is 10 and 5 devided by 25 is 5 or you could go like 2.50 times 10 is 25 and 5 times 5 would be 25

Step-by-step explanation:10 pens to 5 notebooks

Which equation has 1 solution.
A. 10x + 2x = (10 + 2)x - 2
B. 10x + 2 = (10 + 2)x - 2x
C. 10x + 2x = (10 + 2)x
D. 10x + 2 = (10 + 2)x

Answers

Answer:

We conclude that  10x + 2 = (10 + 2)x has only 1 solution.

Hence, option (D) is correct.

Step-by-step explanation:

A.

10x + 2x = (10 + 2)x - 2

Checking the equation in Part A

10x + 2x = (10 + 2)x - 2

10x + 2x = 10x+2x-2

10x + 2x - 10x - 2x = -2

0 = -2

The sides are not equal.

Hence, NO SOLUTION!

B.

10x + 2 = (10 + 2)x - 2x

Checking the equation in Part B

10x + 2 = 10x+2x - 2x

10x + 2 - 10x - 2x + 2x = 0

2 = 0

The sides are not equal.

Hence, NO SOLUTION!

C.

10x + 2x = (10 + 2)x

Checking the equation in Part C

10x + 2x = 10x+2x

10x + 2x - 10x - 2x = 0

0 = 0

Both sides are equal.

It is true for all x.

D.

10x + 2 = (10 + 2)x

Checking the equation in Part D

10x + 2 = 10x+2x

10x - 10x - 2x = -2

-2x = -2

Divide both sides by -2

x = 1

Hence, 10x + 2 = (10 + 2)x has only 1 solution.

Therefore, we conclude that  10x + 2 = (10 + 2)x has only 1 solution.

Hence, option (D) is correct.

Easy math problems!!!!!!

Answers

Answer:

[tex]60[/tex]

Step-by-step explanation:

[tex]a {}^{2} = c {}^{2} - b { }^{2} \\ = 61 {}^{2} - 11 {}^{2} \\ = 3600 \\ a = \sqrt{3600 } \\ a = 60 \\ \\ hope \: it \: helps \\ pls \: mark \: it \: as \: branliest...[/tex]

Answer:

60

Step-by-step explanation:

61^2-11^2=x^2

x^2=3600

x=60

What is the slope of the line passing through the points (-3, 4) and (2,
-1)?


I will give brainilist to correct answer

Answers

Use slope formula and get slope is -1

what is the domain and range of the following? (1,5) (-2,4) (-3,0) (-6,2)

Answers

Domain: {1, -2, -3, -6}

Range: {5, 4, 0, 2}

im not 100% sure but Im pretty sure it’s that

I know someone answered but I’m going to say why the answer is the answer.

When it is asking for the domains it is asking for the x values. (1, -2, -3, -6)

When it is asking for the ranges it is asking for the y values. (5, 4, 0, 2)

Hope this helped :)

Algebra 1 Honors PMA

Which of the following are equivalent to 8^3/2
A. 4

B. [tex]2^{1/2}[/tex]

C. [tex]\sqrt 8^{3}[/tex]

D. [tex]\sqrt[3] 8^{2}[/tex]

G. [tex]16\sqrt2[/tex]

Answers

Answer:

C is the answer √(8^3)

The initial value for the root is 2 and it doesn't need to be written so 8^3/2

The location of Sam's house, the library, and the gas station are shown on the map below.
Based on the map, what is the shortest distance, to the nearest tenth, from the Library to the Gas Station if each unit represents one mile?

Answers

It is found that location of Sam's house is at a distance of approximately 8.062 meters far from the gas station.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]  

Sam's house S(x, y) = (2, -4)

Library L(x, y) = (-5 , 2)

Gas station  G(x, y) = (3, 4)

The distance d, in miles, is determined by the line segment distance formula:

D = √[(x-p)² + (y-q)²]  

It is used in an operation known as dot product.

Then the distance between Sam's house and the Gas station is:

D = √[(2 - 3)² + (-4 -4)²]  

D = 8.062 meters

Hence, The location of Sam's house, is at a distance of approximately 8.062 meters far from the gas station.

Learn more about distance between two points here:

brainly.com/question/16410393

#SPJ1

The Complete question is described below:

The location of Sam's house, the library, and the gas station is shown on the map below. What is the distance from Sam's house to gas station? The coordinate of each location are presented below: (Distances are given in miles)

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