Find ‘k’ if 2 k- 1, 7, 11are in A.P.

Answers

Answer 1
Given:

• 2k -1 , 7 and 11 are in AP .

To find :

• The value of k .

Solution :

• As we know that , In AP common difference is same .

• b - a = c - b

=> 2b = a + c

Here :

• a = 2k-1

• b = 7

• c = 11

=> 2 (7) = 2k-1+11

=> 14 = 2k+10

=> 2k = 14-10

=> 2k = 4

=> k = 4/2

=> k = 2 .

Hence ,the value of k is 2 .

Hope it will help you.

Regards.


Related Questions

Which of the following statements are FALSE when identifying the type of slope of a line.
A Positive slope increases from left to right.
B Negative slope decreases from left to right.
C Undefined slope is when there is no vertical change.
D No or Zero slope is a horizontal line.

Answers

Answer: Choice C) Undefined slope is when there is no vertical change

If you replace "vertical" with "horizontal", then choice C would be a true statement. All vertical lines have an undefined slope.

This is because the slope formula

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

has 0 in the denominator when you subtract the x coordinates. Dividing by zero is undefined. For any single vertical line, the x coordinates of any two points are the same. For instance, the vertical line through 4 on the x axis is the equation x = 4, and every point on this line has x coordinate 4.

20 points!!
(5x-19)^2 < (x-23)^2
please someone help me with this inequality :c​

Answers

Answer:

[tex]x (-1,7)[/tex]

Step-by-step explanation:

We need to square a binomial.

The following rule is applied:

[tex](5x)^2+2*5x(-19)+(-19)^2<x^2+2x(-23)+(-23)^2[/tex]

In our example,

[tex]A^2+2AB+B^2=(A+B)^2[/tex]

   A is equal to 5x,

    B is equal to -19 and

   N is equal to 2.

[tex]5^2*x^2-2*5x*19+19^2<x^2x-23+23^2[/tex]

Regal Cinemas sold a total of 8500 movie tickets. Proceeds totaled $64,600. Tickets can be bought in one of 3 ways: a matinee admission cost $5, student's admission is $6 all day, and regular admission are $8.50. How many matinee tickets were sold if twice as many student tickets were sold as matinee tickets? * Only type the number of matinee tickets that were sold

Answers

Answer:

900

Step-by-step explanation:

From the information given you can write the following equations:

x+y+z=8500 (1)

5x+6y+8.50z=64600 (2)

y=2x (3)

First, you can replace (3) in (2) and (1):

x+2x+z=8500

3x+z= 8500 (4)

5x+6(2x)+8.50z=64600

5x+12x+8.50z=64600

17x+8.50z=64600 (5)

Now, you have two equations:

3x+z= 8500 (4)

17x+8.50z=64600 (5)

Then, you can isolate z in (4):

z=8500-3x (6)

Next, you can replace (6) in (5):

17x+8.50(8500-3x)=64600

17x+72250-25.5x=64600

7650=8.5x

x=7650/8.5

x=900

You can replace the value of x in (3) to find y:

y=2x

y=2*900

y=1800

Finally, you can replace the value of x in (6) to find z:

z=8500-3(900)

z=8500-2700

z=5800

According to this, the answer is that 900 matinee tickets were sold.

Oprs]
Three hundred and forty students enroll for soccer and tennis classes in the
ratio of 6:11. Find the number of students who have signed up for each sport.

Answers

Answer:

Soccer = 120

Tennis = 220

Step-by-step explanation:

The total number of students enrolling for soccer and tennis classes is, 340.

The ratio number of students enrolling for soccer and tennis classes is, 6:11.

Then,

6x + 11x = 340

17x = 340

x = 20

The number of students enrolled for soccer class is, 6x = 6 × 20 = 120.

The number of students enrolled for tennis class is, 11x = 11 × 20 = 120.

Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$7.50dollar sign, 7, point, 50 delivery fee and \$14$14dollar sign, 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under \$60$60dollar sign, 60. Each pizza is cut into 888 slices, and she wonders how many total slices she can afford. Let PPP represent the number of pizzas that Jacque buys.

Answers

Answer:

30slices

Step-by-step explanation:

given data

cost of pizza $7.5

cost of delivery=$14

let the the number of pizza be p

let the total cost of x pizza be y

the expression for the total cost of x pizza is

y=7.5+14p

given that y=$60

60=7.5+14p

solving for x we have

14p=60-7.5

14p=52.5

p=52.5/14

p=3.75

therefore the total slices is

3.75*8= 30slices

describe the shape of the cross section formed by the intersection of the plane and the solid​

Answers

Answer:

What are the Answers?

Step-by-step explanation:

Rectangle is the shape of the cross section formed by the intersection of the plane and the solid​.

If a plane intersects a cylinder in a perpendicular manner, such that the plane is parallel to one of the bases of the cylinder, the resulting cross-section will be a rectangle.

The rectangle's dimensions will depend on the dimensions of the cylinder and the specific position of the plane within the cylinder.

The length of the rectangle will be equal to the circumference of the cylinder, and the width will be equal to the height or the diameter of the cylinder.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ2

66°
OT 6
11
12/13
Find the measure of the angle

Answers

B g I gcm gzhzrdyzrabc Vega. BzdzdGvm

Heather worked on 4 command cards in 140 minutes. At the same rate, how many cards can she complete in 315 minutes?

Answers

Answer:

9 command Cards

Step-by-step explanation:

Rachel earned $ 34 $34dollar sign, 34 in 4 44 hours at her job today. She wants to know how much she could earn ( e ) (e)left parenthesis, e, right parenthesis tomorrow if she works 10 1010 hours at the same hourly rate. How much will Rachel earn in 10 1010 hours? $

Answers

Answer:

Rachel earn $85 in 10 hours.

Step-by-step explanation:

Rachel earned $34 in 4 hours at her job today. It means we can find his earning in 1 hour.

1 hour = $(34/4)

= $8.5

He earns $8.5 in an hour.

To find his earning in 10 hours, multiply $8.5 by 10. So,

Earning =  $8.5 × 10

= $85

Hence, Rachel earn $85 in 10 hours.

Answer:

85

Step-by-step explanation:

I am right

4x+1=x-5 slove for x

Answers

Answer:

x = −2

Step-by-step explanation:

4x + 1 = x − 5

Subtract 1 from both sides

4x + 1 − 1 = x − 5 − 1

Simplify

4x = x − 6

Subtract x from both sides

4x −x = x − 6 − x

Simplify

3x = −6

Divide both sides by 3

[tex]{\frac{3x}{3}[/tex]=[tex]\frac{-6}{3}[/tex]

Simplify

x = −2


Reorder the steps to construct Angle JOB, a copy of Angle A.

__ Construct oj
__ Place your compass point at the vertex of Angle A. Create an arc that intersects both rays of Angle A.
__ On Angle A, set your compass point on the intersection of the arc and ray and the pencil on the other intersection of the arc and second ray. Lock your compass.
__ Place the point of the compass on the intersection of the arc on OB. Mark an arc through the large arc created in a previous step. Label the point of intersection of the two arcs point J.
__ Draw a ray that will become one of the two rays of the new angle. Label the ray OB.
__ Without changing your compass setting, create an arc from point O that intersects OB. Be sure to make a large arc.

Answers

Answer:

The right order is given as follows;

_Draw a ray that will become one of the two rays of the new angle, label OB

_Place your compass point at the vertex of Angle A. Create an arc that intersects both rays of Angle A

_On Angle A, set the compass point on the intersection of the arc and ray and the pencil on the other intersection of the arc and second ray. Lock your compass

_Without changing your compass setting, create an arc from point O that intersects OB. Be sure to make a large arc.

_Place the point of the compass on the intersection of the arc on OB. Mark an arc arc through the large arc created in a previous step. Label the point of intersection of the two arcs point J.

_Construct OJ

Step-by-step explanation:

1) The first step is to draw a line in the location where the angle to be copied is to be constructed

2) The distance of two points on the rays forming the angle to be copied from the vertex are found by drawing an arc from the vertex and setting the compass opening width to the distances between the intersection of the arc and the rays

3) With the set compass width from the step above, an arc is drawn which intersects the constructed first new ray. The arc is made to extend to a large angle to accommodate large angle sizes

4) From the point of intersection of the arc on the new line, another arc is drawn to intersect the previous arc located on the new line construction

5) Join the point intersection of the two arcs on the new construction to the start point of the constructed first new line (the point from which the first arc was constructed to complete the construction of a copy of the angle.

Can function notations be simplified?
I was working on this equation: f(x) = -6/9x + 300
I was wondering if I can convert the fraction ‘-6/9’ into ‘-2/3’?

Answers

Step-by-step explanation:

it's not same but u can find your answer through it

expand 2t(6t-3) please

Answers

I think the answer is 12t^2-6t

Solve for x:
7x-99+ 2x+1
please helpppp

Answers

Answer:

x = 20

Step-by-step explanation:

7x - 99 = 2x + 1  (vertically opposite angles are equal)

Rearrange

5x = 100

x = 20

Ashley and her sisters decide to split the cost of dinner, which is $26. By how much you will each sisters bank account be impacted

Answers

Answer:

$13.00 per person

Step-by-step explanation: you divide $26 by 2


Rewrite the expression using a single, positive exponent: 9^3/9^9

Answers

Answer:

9⁻⁶

Step-by-step explanation:

When you're dividing, you subtract the exponents. So, 3-9=-6.

The expression 9³ / 9⁹ can be written as 9⁻⁶.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression is 9³ / 9⁹. The expression can be solved as below:-

E = 9³ / 9⁹

E =  9³ x 9⁻⁹

E = 9³⁻⁹

E = 9⁻⁶

Therefore, the expression 9³ / 9⁹ can be written as 9⁻⁶.

To know more about an expression follow

https://brainly.com/question/8844911

#SPJ2

how do i find the area of a triangle​

Answers

Answer:

The area of each triangle is one-half the area of the rectangle. So, the area A of a triangle is given by the formula A=1/2bh where b is the base and h is the height of the triangle.

Step-by-step explanation:

How many terms are in the expression 76-3a + 4b + 5a?

Answers

Answer:

4

Step-by-step explanation:

In Algebra a term is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs

you are planning a party for 12 people and you purchase 4 bags of candy.If you have a party for 21 people,how many bags of candy should you purchase

Answers

Answer:

7

Step-by-step explanation:

one bag of candy for every three people

12 ÷ 4 = 3

21 ÷ 7 = 3

Answer:

7  

Step-by-step explanation:

Apply proportions:

People/bag of candy

[tex]\frac{12}{4}[/tex]

For 21 people

[tex]\frac{21}{x}[/tex]

Equal both expressions

[tex]\frac{12}{4} =\frac{21}{x}[/tex]

Solve for x:

[tex]x=21\frac{12}{4} \\x= \frac{21}{3} \\x=7[/tex]

You should purchase 7 bags of candy

PLEASE HELP W MY MATH FINAL! NO EXPLANATION NEEDED :))

TY

Answers

Answer:

nothing in the first blank +3 or 3 in the second blank and +1 or 1 in the last blank

Step-by-step explanation:

You and five friends are going to see a movie it’s a movie ticket cost eight dollars complete the equation to show

Answers

Answer:

the answer would be $45

Step-by-step explanation:

The answer is $48 because you plus your 5 friends is 6 so you multiply 6 x 8 which gives you 48

For a given recipe, 6 cups of flour are mixed with 12 cups of sugar. How many cups of sugar should be used if 16 cups of flour are used?

Answers

Answer:

32 cups

Step-by-step explanation:

hope this helps plz mark brainliest

Dale's Auto shop wash earns revenues of $8 per customer. After serving 4 customers, how much revenue will Dale's Auto Wash have?

Answers

Dude this is just 8 times 4 but okay it is 32

⚠️⚠️⚠️ I WILL MARK BRAINLIEST ⚠️⚠️⚠️

Please help with 5-8 with working out please thanks , it’s due ASAP

Answers

Answer:

I can only help with 5 and 6 which both are A.

Explanation:

that's because Cosine is adjacent to the angle (the angle being 30 degrees and the side next to it is 43mm) divided by the hypotenuse (longest side of a right triangle. The 50 mm). A way you can remember the sin, cosine and tangent is SOH CAH TOA. Sine=opposite over hypotenuse, Cosine = adjacent over hypotenuse, Tangent = opposite over adjacent. For the next one, it is the same principal. X is adjacent to 22 degrees and the other number is the hypotenuse so it has to be Cosine.

A truck can be rented from Company A for ​$60 a day plus ​$0.20 per mile. Company B charges ​$20 a day plus ​$0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

So this isn't a answer:

This is to help you understand how to do it in the future.

So we are going to let HOW MANY MILES GO BY be represented as (m)

Company A

60 + (m + .20) = final cost

Company B

20 + (m + .60) = final cost

Now you have to plug in numbers till you get your total miles left.

Have a good Day!!

Find x if mZPHI = 150º,
mZGHI = 15x – 5, and mZGHP = x + 13

Answers

The answer for is a) x=12

Heyy! Can y’all plz help me on this I would really appreciate it :)
10x - 7 = 7x - 1

Answers

Answer:

x = 2

Step-by-step explanation:

10x - 7 = 7x - 1

10x = 7x + 6

3x = 6

x = 2

Answer:

x = 2

Step-by-step explanation:

Add seven to both sides to move it over to the right, then subtract 7x from both sides to move that over to the left.

You should be left with 10x - 7x = 7 - 1.

10x - 7x = 3x

7 - 1 = 6

3x = 6

Divide both sides by three to get your answer of x = 2.

Robert is moving and must rent a truck. In addition to an initial fee, the rental company charges a fee of $1.50 per mile driven. If Robert were to drive 4 miles, the total cost would be $26. Write an equation for C, in terms of m,m, representing the total cost of renting the truck if Robert were to drive mm miles.

Answers

Answer:

son $23.345 creo que si espero que si sea

Simplify the expression
16+(-3)-3/7j-5/7j+4​

Answers

the simplified version is
119j-8/7j

Jose is saving for a new bike. He already has $125. If he saves
$25 of his allowance per week, how many weeks must he wait
to save at least $600 to cover tax and delivery fees?

Answers

Answer: 19 weeks.

Step-by-step explanation: 600 - 125 = 475. This means he needs to save $475 more. 475 divided by 25 is 19. So the answer is he must wait 19 more weeks.

Answer:

19 weeks

Step-by-step explanation:

600=25x+125  

x=19

Other Questions
A state lottery randomly chooses 8 balls numbered from 1 through 37 without replacement. You choose 8 numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If so, identify a success, specify the values n, p, and q and list the possible values of the random variable x. Determine the weight of a 10.0-kg person who is running with a speed of 5.0 m/s. Enter anumerical answer. a company that has little competition is called a 1). refinery 2).liability 3).monopoly Explain the role that each of the following individuals played during the American Revolution.a. John Adamsb. Benjamin Franklin c. Crispus Attucksd. King George 3e. Thomas Jefferson f. Thomas Paine 209.106 in expender form The graph below shows y is a function of x. How r fossil fuel helpful Plss help ill give brainliest Planets are constantly moving. In fact, the name planet means wanderer. What force(s) is responsible for the constant movement of the planets in our solar system?A) inertia and gravity B) gravity only C) inertia only D) frictionI know its not math How can you ensure that messages from a trusted email address will not be identified as spam or junk email?Add the message to the Safe Senders list.Add the message to the Safe Recipients list.O Right-click the message, and select Move to the Saved folder.O Right-click the message, and select Move to the Archive folder. I have no idea what to do here. In this phase the chromosones begein to un coil and form chromatin?a. Telophaseb. Metaphasec. Prophased. Anaphase Which expression will be easier to simplify if you use the community property to change the order of the numbers Total bill of four pairs of shoes came to $69.25 what is the average price for each pair of shoes Determine if the statement is true or false.Primary colors are the most intense.a. Trueb. False Are savings account and deposit account the same thing? the elements boron, silicon, germanium, and arsenic be classified into? * 1. Explain the events of Bacons Rebellion and why it was important? 2. What were the effects of growing tobacco on the Jamestown colony? 3. Why was the Jamestown colony started?4. What events in England occurred making the Puritans form a colony??5. Where was the Plymouth located??6. List some of the issues the settlers of Jamestown and Plymouth face?? 7. How did Indians react to the colonists? 8. What were the Salem Witch trials?? 9. What is a charter? 10. Explain the differences between the views of the colonist and the Indians. 11. Explain the French and Indian War. 12. Discuss the characteristics of the 3 regions of colonies. The New England, Middle & Southern Colonies 13. What is the Currency Act? 14. What are the Sons Of Liberty? 15. What is the Boston Massacre?16. What is the Tea Act? 17. What is the Boston Tea Party?? 18. What is the Coercive Act?? 19. What is the Townshed Act?? 20. What is the 1st Continental Congress?? 21. Why did the King Of England begin taxing the colonist? 22. What was the reaction by the colonist to many of acts imposed on them? 23. What does taxation without representation mean?24. Who was Thomas Paine?? 25: Describe the Battle of Lexington and Concord?? (THIS IS DUE BY 12:00 PM TODAY) (I NEED THESE ASAP) The cost C, in dollars, for delivered pizza depends on the number p of pizzas ordered. The situation is represented by the function rule C equals 5 plus 9 p. Would the graph be continuous or discrete? Explain your answer. Which logarithmic equation is equivalentto 25 = 32? answer log232 = 5 7Felicia is making trail mix. The recipe calls for 3 cups pretzels and 1.5 cups of m&m's.She wants to make 27 cups of trail mix for a birthday party. How many cups of pretzels and m&m's does she need?