9. The sum of three consecutive EVEN integers is 50 more than the third
integer. Find the integers.

Answers

Answer 1

Answer:

Step-by-step explanation:

The smallest integer is 2x - 2

The middle integer = 2x

The largest integer = 2x + 2

2x - 2 + 2x + 2x + 2 = 2x  + 2 + 50      Combine

6x = 52 + 2x                                         Subtract 2x from both sides

6x-2x = 52                                            Combine

4x = 52                                                  Divide both sides by 4

4x/4 = 52/4

x = 13

The three integers are

2x - 2 = 24

2x =    26

2x + 2 = 28


Related Questions

Help very urgent, . . .

Answers

Answer: 3.1

Step-by-step explanation:


The answer is 3.1 hope this helps

Solve the equation if 0°≤x≤360°*tan x =√3

Answers

Answer: This is a trig relationship from one of our special triangles, the 30-60-90 triangle.

Tan x = the opposite side of angle x divided by the adjacent side of angle x

The tangent is √3 when x = 60° or π/3

However, in this problem the value of the tangent is negative. In which of the four quadrants is the tangent function negative?

This function is negative in the second and fourth quadrants or when x = 120 and 300 degrees (or 2pi/3 and 5pi/3)

***I am assuming that the negative sign should be outside of the square root sign***

Gus wrote the following riddle: I am a number between 30 and 60. My ones digit is three less than my tens digit. I am a prime number.

What number does Gus’ riddle describe?

Answers

Answer: 41

Step-by-step explanation:

Which of the following graphs represents a function?

Answers

Answer:

A and C

Step-by-step explanation:

A function has a unique y value for every unique x value

The vertical section disqualifies B

D has 2 y values for many x values.

PLZ HURRY IM TIMEDDD

Sameer chose 12 different toppings for his frozen yogurt sundae, which was Three-fourths of the total number of different toppings available at the make-your-own sundae shop. To determine the number of different toppings available at the shop, Sameer set up and solved the equation as shown below.


Three-fourths = StartFraction x over 12 EndFraction. Three-fourths (12) = StartFraction x over 12 EndFraction (12). 9 = x.


Which best describes the error that Sameer made?
Sameer did not use the correct equation to model the given information.
Sameer should have multiplied both sides of the equation by Four-thirds instead of by 12.
The product of Three-fourths(12) is not equal to 9.
The product of Four-thirds and StartFraction 1 over 12 EndFraction should have been the value of x.

Answers

Answer:

B, second option: the product of three fourths is not equal to 9

The error made by Sameer while creating the algebraic equation: Sameer did not use the correct equation to model the given information.

What is algebraic equation?

An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other.

It is given that Three-fourths of the total number of different toppings available at the make-your-own sundae shop = 12

The algebraic equation given by Sameer is wrong, the correct equation will be:

Let the total number of toppings be x.

[tex]\frac{3}{4} x = 12\\ \\x = 12 (\frac{4}{3} ) = 16[/tex]

Learn more about algebraic equation here

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Hurry please What is the equation of this line
A. Y=1/4x-6
B. Y=6x-4
C. Y=6x-1/4
D. Y=4x-6

Answers

Sorry but it’s too confusing

Can you please Help me?

Answers

Answer:

D. 5i

Step-by-step explanation:

edge 2021

Darren’s taxable income is $27,481. He is filing as head of household, and he has already paid $3847 in federal taxes.

What will he receive or pay after he figures his taxes for the year?

Tax table of wages

He will receive a refund of $161.

He will receive a refund of $346.

He will pay $161.

He will pay $346.

Answers

Answer:

If Darren's taxable income is $27,481 and he is the head of household, he will be exempted from tax deductions. If he has already paid $3,847 in federal taxes, he will receive an equivalent amount in return if his tax deduction exceeds his collectible tax. Therefore, his money at the end of the year will total to $31,328.  

Step-by-step explanation:

Answer:

Step-by-step explanation:

he will receive a refund of 346 dollars

i just took the test

I'll give Brainliest, I need this now. :D​

Answers

Answer:

I think it's 6:3=18:9=54:27

Step-by-step explanation:

I hope this helps!

If y varies directly with x which equation describes x = 72 and y = 36?

Answers

Answer:

k = 1/2

Step-by-step explanation:

direct variation equation is y = kx where 'k' is the constant of variation

substitute 36 for 'y' and 72 for 'x' to get:

36 = 72k

solve for 'k' to get:

k = 36/72 or k = 1/2

The model below represents an equation. IN Which represent like terms in the model of the equation? and and T Save and Exit Next Mark this and return Ei O Type here to search NEWD HELP ASAP PLSSS ​

Answers

Answer:

x x x and 1 1 1

Step-by-step explanation:

3rd option is the correct answer.

9. Which lines are parallel if mZ4=mZ5? Justify your answer.

Answers

Answer:

r || s

Step-by-step explanation:

m∠4 = m∠5  Given.

These angles are called alternate interior angles and because you are given that they are = then there are two parallel lines. The converse of the theorem stated.  If alternate interior angles are cut by a transverse and two lines and the alternate interior angles are equal, then you have a pair of parallel lines.

What is formed when the number of electrons is changed?

Question 2 options:

isotope


radioisotope


a new element


ion

Answers

Answer:

A New Element

An ion is formed. Change of electrons = ionizing the element!

a bit hard. thank you if u can do it for me? <3

Answers

The triangle shown is a right triangle shown by the little square inside of it.

Area of a triangle is 1/2 x height x base

Rotating the shown triangle so the square is at a bottom corner the height is 6 and the base is 6

Area = 1/2 x 6 x 6 = 18 square cm

After two consecutive years of 5% rates of return, what rate of return in the third year will produce a cumulative gain of 16%? ​

Answers

Using decimal multipliers, it is found that a rate of return of 5.2% in the third year will produce a cumulative gain of 16%.

The decimal multiplier for a increase of a% is given by:

[tex]M = \frac{100 + a}{100}[/tex]

In this problem, two increases of 5%, thus:

[tex]M = \frac{100 + 5}{100} = 1.05[/tex]

Another of x, that we want to find, and the result is a increase of 16%, thus:

[tex]M = \frac{100 + 16}{100} = 1.16[/tex]

The three increases(5%, 5% and x%) result in a increase of 16%, thus:

[tex]1.05(1.05)(x) = 1.16[/tex]

[tex]x = \frac{1.16}{(1.05)^2}[/tex]

[tex]x = 1.052[/tex]

1.052 - 1 = 0.052

A rate of return of 5.2% in the third year will produce a cumulative gain of 16%.

A similar problem is given at https://brainly.com/question/21806362

A department store sells shoes with an 70% markdown. If one pair of shoes is originally $148, then with the markdown, what is the new selling price for those shoes?

Answers

Answer:

$44.40

Step-by-step explanation:

100%-70%=30%

30/100x148=44.40 (discounted price)

Appreciate to be marked brainliest. Hope this helps!

Last year Kaitlin opened an investment account with $7600. At the end of the year, the amount in the account had increased by 6.5%. How much is this increase in dollars? How much money was in her account at the end of the year

Answers

The increase was: 494

Use your expression from #2 to answer the following question. If there are 6 $5 bills and 4 $10 bills, how much money is in the box

Answers

There is 70$ in the box.

Answer:

70 dollars

Step-by-step explanation:

6 x 5 = 30, 4 x 10 = 40. Add them up, that's what you get.

please help me with this sum​

Answers

Answer:

1. 384

2. 180

3. 324

4. 648

5. 476

6. 528

7. 294

8. 384

9. 414

10. 80

11. 72

12. 301

13. 222

14. 146

15. 156

16. 270

17. 283

18. 300

19. 292

20. 58

21. 64

22. 138

23. 296

24. 170

Hope it helps you

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 100 m long and 60 m wide.
Find the area of the training field. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Step-by-step explanation:

given,

length = 100 m

breadth = 60 m

we know,

area = l × b

now,

100 × 60 = 6000 m

therefore, area of rectangular field is 6,000 m.

and for both the semicircle if we add both the semicircle we will get a complete circle.

as the width of the rectangle is the diameter of circle so the radius of the circle is 60/2 = 30m

we know,

Area = πr²

now,

3.14 × 30²

3.14 × 900

2826 m

so,

area of rectangle + area of circle = area of the training field.

6000 + 2826 = 8826.

therefore, area of training field is 8,826 m.

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

8826 m²

Step-by-step explanation:

The field is composed of a rectangle and a circle .( the 2 semicircles form a complete circle when placed together )

area = area of rectangle + area of circle

        = lb + πr² ( r = 60 ÷ 2 = 30 )

        = (100 × 60) + (3.14 × 30²)

        = 6000 + (3.14 × 900)

        = 6000 + 2826

        = 8826 m²

The perimeter of a poster is 16 feet. The area is 15 square feet. What are the dimensions of the poster?

Answers

The dimensions to the poster is 3’x5’

Find the value of x. 2x – 15 – 7x + 24 = -36​

Answers

Answer:

9

Step-by-step explanation:

hlo!! dear!! glad to help u!

2x – 15 – 7x + 24 = -36​

2x -7x -15 +24= -36

-5 x + 9= -36

-5 x = -36-9

-5 x =-45

x = -45/-5

x = 8

thank u!!!

Plot the following and their opposites on the number line.

Answers

Step-by-step explanation:

Is there a image or any numbers because I can't see any

Answer:

If you are doing it thru edmentum the answer would be -2, 7, 1, 0, -5, 4, -3

Step-by-step explanation:

Hope this helps!!

A Matrix of 1xM is called as ______.

Answers

Answer:

row matrix

Step-by-step explanation:

A matrix with only 1xmis called a ______ matrix

solve pls brainliest

Answers

Answer:

53cm

Step-by-step explanation:

11+8+8+11+15=53cm

The answer above is correct

need help plz help for math class

Answers

-8/27

Step-by-step explanation:

Just multiply this fraction by itself 3 times and you will get the answer then simplify.

Find the mass of 250 ml of water. The density of water is 1 g/ml.
D= Density
M=
Volume - 10ml
What is the Mass?
V=
Mass - 70
Density
Alaalam

Answers

Answer:

250g

Step-by-step explanation :

250ml x 250g/ml = 250 g

To get the mass (in grams), you need to divide the ml's off and get the g alone.

Find the percent of change from

10 yards to 15 yards
1. 5%
2. 33%
3. 15%
4. 50%

Answers

Answer:

option 4

Step-by-step explanation:

Percent change is calculated as

[tex]\frac{change}{original}[/tex] × 100%

change = 15 - 10 = 5 , then

percent change = [tex]\frac{5}{10}[/tex] × 100% = 5 × 10% = 50%

Help me or I will steal your caprisun.

Answers

Answer:

C and D

Step-by-step explanation:

A. Incorrect as the directions are not opposite.B. Incorrect as - 40 - 10 = -50 m ≠ 0.C. Correct as the same amount is added and subtracted, resulting in zero.D. Correct as protons and electrons have opposite charges, their sum is neutral.

A computer programming team has 17 members. (For each answer, enter an exact number.) (a) How many ways can a group of nine be chosen to work on a project? 24310 Correct: Your answer is correct. (b) Suppose nine team members are women and eight are men. (i) How many groups of nine can be chosen that contain five women and four men? 1 Incorrect: Your answer is incorrect. (ii) How many groups of nine can be chosen that contain at least one man? 9 Incorrect: Your answer is incorrect. (iii) How many groups of nine can be chosen that contain at most three women? (c) Suppose two team members refuse to work together on projects. How many groups of nine can be chosen to work on a project? (d) Suppose two team members insist on either working together or not at all on projects. How many groups of nine can be chosen to work on a project?

Answers

The number of groups that can be chosen from the team of 17 depends on

the given conditions of the selection.

The correct responses are;

(a) The number of ways of choosing groups of 9 from the 17 members are 24,310 ways.(b) (i) The number of groups of 9 containing 5 women and 4 men are 8,820 groups.(ii) The number of groups of 9 that contain at least one man is 24,309 groups.(iii) The number of groups of 9 that contain at most 3 women are 2,649 groups.(c) If two team members refuse to work together on projects, the number of groups of 9 that can be chosen are 17,875 groups.(d) If two team members must work together or not at all the number of groups of 9 that can be chosen are 1,430 groups.

Reasons:

The combination of n objects taking r at a time is given as follows

[tex]_nC_r = \dbinom{n}{r}[/tex]

(a) The number of ways of choosing groups of 9 from the 17 members is given as follows;

Number of ways of choosing groups of 9 = [tex]\dbinom{17}{9}[/tex] = 24,310 ways.

(b) (i) Number of women = 9

Number of men = 8

Number of groups of 9 containing 5 women and 4 men = [tex]\dbinom{9}{5} \times \dbinom{8}{4}[/tex]

[tex]\dbinom{9}{5} \times \dbinom{8}{4} = 126 \times 70 = 8,820[/tex]

Number of groups of 9 containing 5 women and 4 men = 8,820 groups.

(ii) The number of groups that contain at least one man is [tex]\dbinom{17}{9} - \dbinom{9}{9}[/tex]

[tex]\dbinom{17}{9} - \dbinom{9}{9} = 24,310 - 1 = 24,309[/tex]

The number of groups that contain at least one man are 24,309 groups.

(iii) The number of groups of 9 that contain at most 3 women if given as follows;

[tex]\dbinom{8}{8} \times \dbinom{9}{1} + \dbinom{8}{7} \times \dbinom{9}{2} + \dbinom{8}{6} \times \dbinom{9}{3} = 2,649[/tex]

The number of groups of 9 that contain at most 3 women are 2,649 groups.

(c) Given that two team members refuse to work together on projects, the number of groups of 9 that can be chosen are [tex]\dbinom{15}{9} + 2 \times \dbinom{15}{8}[/tex]

[tex]\dbinom{15}{9} + 2 \times \dbinom{15}{8} = 5,005 + 2 \times 6,435 = 17,875[/tex]

(d) Two team members must work together or not at all is [tex]\dbinom{15}{7} - \dbinom{15}{9}[/tex]

[tex]\dbinom{15}{7} - \dbinom{15}{9} = 6,435 - 5,005 = 1,430[/tex]

The number of groups of 9 that can be chosen two team members must work together or not at all are 1,430 groups.

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