find 5 consecutive odd numbers where the sum of the first three numbers is 15 greater than the sum of two numbers

Answers

Answer 1

Answer:

The five odd numbers are:

23, 25, 27, 29, and 31

Step-by-step explanation:

A random odd number is written as:

2*n + 1

Where n is an integer.

Then 5 consecutive odd numbers will be:

2*n + 1

2*(n + 1) + 1

2*(n + 2) + 1

2*(n + 3) + 1

2*(n + 4) + 1

Now we want that the sum of the first 3 numbers to be 15 greater than the sum of the two last numbers, then:

(2*n + 1) + (2*(n + 1) + 1) + (2*(n + 2) + 1) = 15 + (2*(n + 3) + 1) + (2*(n + 4) + 1)

Now we just need to solve this for n:

(2*n + 1) + (2*n + 3) + (2*n + 5) = 15 + (2*n + 7) + (2*n + 9)

6*n + 9 = (15 + 7 + 9) + 4*n

6*n - 4*n = 15 + 7 + 9 - 9

2*n = 15 + 7 = 22

n = 22/2 = 11

Then the five numbers are:

(2*11 + 1) = 23

(2*(11 + 1) + 1) = 25

(2*(11 + 2) + 1) = 27

(2*(11 + 3) + 1) = 29

(2*(11 + 4) + 1) = 31


Related Questions

Consider the function g (x) = StartFraction x squared + 7 x minus 18 Over x squared + 2 x minus 8 EndFraction. Which type of discontinuity does the function have at x = –4? jump mixed infinite removable

Answers

Answer:

D. Removeable

Step-by-step explanation:

ed2021

Answer:

It's actually C, infinite!

Step-by-step explanation:

What single transformation was applied to triangle A to get triangle B? Links will be reported​

Answers

Answer:

Rotation:

Step-by-step explanation:

Translation is usually movements like up, down, left, right.

Dilation is when one shape is bigger/smaller than the other, but still congruent.

Reflections are usually done over an axis (x or y), and don't change the degree at which a shape is turned. From looking at the triangles, you can see that one triangle was turned clockwise.

CAN SOMEONE HELP ME PLEASE ASAP

Answers

Answer:for the permieter dont you just add both sides?

Step-by-step explanation:

The premier would be y=Mx+b

Solve for 44.
4 4 = [?]
510
51
44/42

Answers

Angle 4 is an exterior angle which is equal to the sum of the two opposite inside angles.

The two opposite inside angles are given as 51 and 51

Angle 3 = 51 + 51 = 102 degrees.

Answer:

[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

thus our equation is

[tex] \displaystyle {51}^{ \circ} + {51}^{ \circ} + \angle2 = {180}^{ \circ} [/tex]

simplify addition:

[tex] \displaystyle {102}^{ \circ} + \angle2 = {180}^{ \circ} [/tex]

cancel 102° from both sides:

[tex] \displaystyle \angle2 = {72}^{ \circ} \cdots \text{I}[/tex]

By straight line theorem we acquire:

[tex] \displaystyle \angle4 + \angle2 = {180}^{ \circ} [/tex]

substitute:

[tex] \displaystyle \angle4 + {72}^{ \circ} = {180}^{ \circ} [/tex]

cancel 72° from both sides:

[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]

hence, the measure of [tex]\angle 4[/tex] is 108°

HELP ME PLEASEEEEEEEEEEEE

Answers

Answer:

20 feet

Step-by-step explanation:

[tex]1)\ A = \frac{b * h}{2}[/tex]

[tex]2)\ 120 = \frac{12b}{2}[/tex]

[tex]3)\ 12b = 240[/tex]

[tex]4)\ b = 20[/tex]

Some1 hurry need help

Answers

Answer:

B) (-6,9)

Step-by-step explanation:

since it's reflecting on the x-axis, the x is gonna stay the same. the y changes though. opposite of -9 is 9.

hope this helps <3

Answer:

B, (-6, 9)

Step-by-step explanation:

this is because it's like as if it was a mirror, so that is the correct answer

How many feet are in 5 yards

Answers

Answer:

15 feet

Step-by-step explanation:

Forumula: Multiply the length value by 3.

5*3= 15 feet

Hope this  helped! :)

Answer:

15 feet

Step-by-step explanation:

okay so in 1 yard is 3 feet

is it is 5 yards so there is 15 feet

Plz help me well mark brainliest if correct!!...

Answers

9514 1404 393

Answer:

  B)  fifth grade boys

Step-by-step explanation:

55 tickets is halfway between the lines marked 50 tickets and 60 tickets. The bar that comes closest to that value is the right-most green bar, representing ...

  fifth-grade boys

Find the area of the composite figure.
A. 360 sq m
B. 720 sq m
C. 1000 sq m
D. 1152

Answers

Answer:

B 720 sq m

Step-by-step explanation:

A= 24^2 + 12^2

= 720 sq m

make a flow chart showing that the two triangles are congruent. NO LINKS!​

Answers

Answer:

Step-by-step explanation:

I take it the unmarked angle on the top triangle should be Q

The way the triangles are marked the following are the statements.

<Q = < X                Given

RQ  = XZ               Given

XY =  PQ               Given

Is the angle included between the two given sides?

If yes then the Two Triangles are congruent by SAS

If no then the Two Triangles cannot be conclusively known to be congruent.

I have to leave you to figure out the flow chart symbols. I have no way of showing this as a flow chart if it is a computer program flow chart.  

what is 75 as a fraction of 125? give your answer in its simplest form.​

Answers

75 as a fraction of 125 would be 75/125

Now Lets simplify

75/25=3

125/25=5

We get 3/5

We can not reduce 3/5 anymore, so the answer is 3/5

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25. 75 is 3/5 fraction of 125.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Let 75 be x fraction of 125. Therefore, we can write the statement as,

x × 125 = 75

x = 75/125

x = 3 /5

Hence, 75 is 3/5 fraction of 125.

Learn more about Fraction:

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Nathan is a recreational cyclist. He can travel 10 miles in one hour on his bicycle. Which graph represents the number of miles Nathan can travel in x hours?

Answers

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex]1\ hr = 10\ miles[/tex]

Required

The graph that shows the number of miles in x hours

We have:

[tex]1\ hr = 10\ miles[/tex]

Multiply both sides by x

[tex]x * 1hr = 10miles * x[/tex]

[tex]xhr=10x\ miles[/tex]

So, the function is:

[tex]f(x) =10x[/tex]

Can somebody please help me out please my grads are bad

Answers

Step-by-step explanation:

Starting from the upper left in the clockwise direction:

congruent: no

similar: no

upper right side:

congruent: yes

similar: yes

lower right side:

congruent: no

similar: yes

lower left side:

congruent: yes

similar: yes

PLEASE HELP! WILL AWARD BRAINLIEST TO THE FIRST CORRECT ANSWER!
If a/b=6, b/x=36, and a=36, what is the value of 1/x?

A) 1/2
B) 2
C) 3/2
D) 4
E) 6​

Answers

Answer:

E) 6

Step-by-step explanation:

a/b = 6

36/b = 6

6b = 36

b = 36/6 = 6

b/x = 36

6/x = 36

36x = 6

x = 6/36 = 1/6

hence 1/x = 6

Answer:

E) 6

Step-by-step explanation:

a/b=6, b/x=36, and a=36

=>a = 6b

36 = 6b => b =6

b/x = 36 => x = b/36 = 6/36

so, 1/x = 36/6 = 6

Solve for x.
x + 14
5x - 74
x = [?]

Answers

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

x + 14 = 5x - 74 (corresponding angles are equal to each other)

[tex]x + 14 = 5x - 74 \\ 14 + 74 = 5x - x \\ 88 = 4x \\ \frac{88}{4} = x \\ 22 = x[/tex]

Answer:

22

Step-by-step explanation:

Angles x + 14 and 5x - 74 are adjacent angles.

Adjacent angles are equal.

5x - 74 = x + 14

5x - x = 14 + 74

4x = 88

x = 88 / 4

x = 22

What is the answer to this question

Answers

the answer is (x - 8) • (2x + 1)

the width of a rectangular yard is 3 yards more than twice its length. the perimeter of the garden is 192 yards

Answers

Answer:

Step-by-step explanation:

W = 2L + 3, and:

P = 2W + 2L = 192

Substituting 2L + 3 for W, we get:

P = 2(2L + 3) + 2L = 192, or

4L + 6 + 2L = 192, or:

6L = 186

L = 186/6 = 31

The length is 31, the width is 62 + 3, or 65

Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62  = 192 (OK!)

Find the volume of the three dimensional figure in terms of x

Answers

Answer:

[tex]V=6x^3+3x^2[/tex]

Step-by-step explanation:

The given figure shows a cuboid whose length is (2x+1) breadth is x and height is 3x.

We need to find the volume of the three dimensional figure.

The volume of a cuboid is given by :

V = lbh

Substitute all the values,

[tex]V=(2x+1)\times x\times 3x\\\\V=(2x+1)\times 3x^2\\\\= 3x^2(2x)+3x^2\\\\V=6x^3+3x^2[/tex]

So, the volume of the figure is equal to [tex]6x^3+3x^2[/tex].

Are the polynomial functions even or odd ?

Answers

If you mirror the graph along the x axis and it lies on itself ( mirror image) it is even, if not it is odd.

If you mirror the top graph the high/ low points would be opposite so the top graph is odd

The bottoms graph can be mirrored so the bottom graph is even.

can someone answer this i am in forth grade 7/8 x 3 =

Answers

The answer is 2/6 :)

Hey I need some help with this

Answers

Answer:

with what plz explain the question

URGENT PLZ HELP

use the graph to write an equation of the line

Answers

y=3/2x
If you are referring to the diagonal line on the graph but if your talking about the vertical line it would be y=0 I think and the horizontal line would be y=x I think

Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Play a sport
Total
Do not play a
sport
105
70
175
Boys
Girls
75
50
125
Total
180
120
300
Are being a girl and playing a sport Independent events? Why or why not?
O A. Yes, they are independent, because P(girl) = 0.58 and Pgirl plays
a sport) = 0.6.
O B. Yes, they are independent, because (girl) = 0.42 and girl plays
a sport) - 0.42
O c. No, they are not independent, because P(girl) = 0.42 and
P(girl plays a sport) = 0.42.
D. Yes, they are independent, because (girl) = 0.58 and P(girl plays
a sport) = 0.58

Answers

Answer:

A is the answer it sounds more likely

For given data, being a girl and playing a sport are independent events as P(girl) = P(girl plays a sport) = 0.4.

What are independent events?"These are the events whose occurrence is not dependent on any other event.""When the probability of occurrence of an event A is not affected by the occurrence of another event B, then event A and event B are independent events."Formula for probability of independent events:

"If A and B are independent events then, P(A∩B) = P(A).P(B)"

What is probability?

"It is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

Formula of the probability of an event A is:

P(A) = n(A)/n(S)

where,  n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.

For given question,

We have been given a table that shows the results broken down by gender.

             Play sports         Do not play sports       Total

Boy            105                            75                        180

Girl             70                             50                        120

Total          175                            125                       300

Using the definition of probability:

⇒ P(girl)  = Number of girls/ Number of students

⇒ P(girl) = 120/300

⇒ P(girl) = 0.4                     ....................(1)

Now we find the probability of girls that play a sport.

Using the definition of probability:

P(girl plays a sport)

= Number of girls who plays a sport/ number of students who plays a sport

= 70/ 175

= 0.4                                    ......................(2)

From (1) and (2),

P(girl) = P(girl plays a sport)

Thus, being a girl and playing a sport are Independent events.

Learn more about independent events here

https://brainly.com/question/13488890

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Use what you know about triangles to classify this triangle.

a triangle with three equal angles and three equal sides
Question 1 options:

Acute isosceles triangle

Obtuse scalene triangle

Equiangular triangle

Obtuse isosceles triangle

Answers

Answer: C equilateral triangle

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i did the test :)

HELP ME PLEASEEEEEEEEEEEE

Answers

First you would do base times night with is 224. Then you would divide 224 by 2, so your answer would be 112

Answer:

The area is 112.

Step-by-step explanation:

14 x 16 = 224

224/2 = 112

Which of the following would be in the solution set for x < 4

Group of answer choices

4

-4

4.2

4.002

Answers

Answer:

- 4

Step-by-step explanation:

The set of all possible value that would make the above statement true must be less than 4.

Therefore the only option we have is -4

5x - 2y = 15
2x + 4y = 12

Select the solution to the system from the options below:

Answers

Answer:

7/2, 5/4

Step-by-step explanation:

Answer:

x = 7/2 and y = 5/4

Step-by-step explanation:

2(5x - 2y = 15)

2x + 4y = 12

10x - 4y = 30

2x + 4y = 12                 (add)

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

12x = 42

x = [tex]\frac{42}{12}[/tex] = [tex]\frac{7}{2}[/tex]

2x + 4y = 12         (subsitute)

2([tex]\frac{7}{2}[/tex]) + 4y = 12

7 + 4y = 12

4y = 5

y = [tex]\frac{5}{4}[/tex]

The area of a square is 144 in.2
What is the length of one side of the square?

Answers

Answer:

12 inches

Step-by-step explanation:

Find the square root

144² ÷ 2 = 12

Therefore, the length of one of the sides of the board with an area of 144 sq. in is 12 inches.

What is the place value of 9 in the number 8.0231497?

Answers

Answer:

Tens

Step-by-step explanation:

it’s really easy if you know your place values just go ones,tens,hundreds,thousands and keep going but the answer is tens place.

How far from the base of the house do you need to place an 18’ ladder so that it exactly reaches the top of a 14’ wall?

Answers

Answer:

Length of Ladder(Hypotenuse)=18

Height of wall(Opposite) =14

How far from the base... This talks about the adjacent or distance between the wall and the base.

You can get your answer from Pythagoras theorem

Which states

The square of the hypotenuse is = to the squares of the adjacent and Opposite sides

H² = O² + A²

We're looking for the adjacent "A"

Making A the subject

A² = H² - O²

A= √H² - O²

A= √18² - 14²

A=√128

A= 8√2'

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