X+1 , 2x+3 and X+7 are the second, third and fourth terms of an arithmetic series. Find the value of X and hence calculate the common difference.​

Answers

Answer 1

Answer:

x = 1,

Common Difference = -3

Step-by-step explanation:

Each number in series has the same difference, hence

(x + 1) - (2x+3) = (2x + 3) - (x + 7) Solve to find => x = 1Plug in value of x into (x+1) - (2x+3)

Which solves for -3

Answer 2

Answer:

x=1

c.d.=3

Step-by-step explanation:

2(2x+3)=x+1+x+7

4x+6=2x+8

4x-2x=8-6

2x=2

x=1

so terms are 2,5,8

c.d.=5-2=3


Related Questions

what is the Mean Median Mode 1) 81,83,44,91,40​

Answers

Answer:

67.8 is the mean

81 is the median.

There is no mode in this set.

Step-by-step explanation:

Mean is the average.

Median is the middle number.

Mode is the number that appears the most.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

8 1/4 hours of work for a total pay of $99.00 What is the unit rate :)

Answers

Answer:

$12 per hour

Step-by-step explanation:

8.25 hours for $99

99/8.25 = 12

$12 per hour

Answer 12 per unit hour

Gas mileage is the number of miles you can drive on a a gallon of gasoline.
A test of a new car results in 580 miles on 10 gallons of gas. How far could
you drive on 55 gallons of gas? What is the car's gas mileage?

Answers

Answer:

on 55 gallons of gas , you can drive 3,190 miles....the cars gas mileage 58 mpg or miles per gallon

3/8 divided by 4????

Answers

Answer:

um Yess?

Step-by-step explanation:

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What linear function models the table of values?

Answers

i think it’s c im not sure :/

3. Two balls are drawn in succession without replacement from an urn containing 4 red balls and 3 blue balls. Find the probability mass function (P.M.F.) for the number of red balls draw.

Answers

Answer:

X ____ 0 ______ 1 _______ 2

P(x) __ 1/7 _____ 4/7 _____ 2/7

Step-by-step explanation:

Given that :

Number of red balls = 4

Number of Blue balls = 3

Total number of balls = (4 + 3) = 7

Picking without replacement :

Number of picks = 2

1st pick is red :

Probability = (required outcome / Total possible outcomes)

USing combination formula :

nCr = n! / (n-r)! r!

Total possible outcome :

7C2 = 7! / 5!2! = 7*6 / 2 = 42 / 2 = 21

X = number of red

For red = 0;

P(x =0) = required outcome / Total possible outcomes

P(x = 0)

Required outcome : [4C0 * 3C2)]

P(x = 0) = [(4C0 * 3C2)] / 21 = (1*3)/21 = 3/21 = 1/7

P(x = 1)

Required outcome : [4C1 * 3C1)]

P(x = 1) = [(4C1 * 3C1)] / 21 = (4*3)/21 = 12/21 = 4/7

P(x = 2)

Required outcome : [4C2 * 3C0)]

P(x = 2) = [(4C2 * 3C0)] / 21 = (6*1)/21 = 6/21 = 2/7

Hence ;

X ____ 0 ______ 1 _______ 2

P(x) __ 1/7 _____ 4/7 _____ 2/7

Dina is making a logo and she decides to use a regular polygon. Each interior angle of the polygon measures 140°. what is the number of sides of this polygon?​

Answers

Answer:

Number of sides = 360/ (180 -140)

Number of sides = 360/ 40

Number of sides = 9

Step-by-step explanation:

Which of the following methods of timekeeping is the least precise?

A. Using a Calendar

B. Using a stopwatch

C. Counting your heartbeats

D. Observing the seasons​

Answers

I think C would be your answer

Answer:

na D cause imagine always observing the seasons bro

Manuel saved $375 in 6 months. At this rate, how much will he save in 2 years

Answers

Answer:

666

Step-by-step explanation:

ggjgjg

Answer:

1500

Step-by-step explanation:

If you have 375$ in 6 months then that means you should have 750$ in 1 year. That also means you would have 1500$ in 2 years. Hope this helps.

Midpoint................

Answers

Answer:

EG =7

Step-by-step explanation:

Please mark me brainliest and 5 star

Answer:

[tex]7[/tex]

Step-by-step explanation:

[tex]look \: picture[/tex]

[tex]pls \: mark \: as \: brainliest[/tex]

Slope=1/4; y -intercept = 2

Answers

Answer:

y=1/4x+2

Step-by-step explanation:

im not sure what your problem is here, so im just gonna assume you have to put it into slope intercept form

Y=1/4x+2
I’m not sure what you mean here but I’m gonna assume you want it in this format


(x2 +9) - (-7x2 – 3x + 9)

Answers

Answer:

8x²+3x

Step-by-step explanation:

A cashier at the local bank expected to serve 12 customers every hour. In the past 15 minutes he served 4 customers. Assuming that the cashier continues to work at the same rate, will he meet his goal?

Answers

Answer: yes

yes

Step-by-step explanation: he will do more than his goal because 4x3=12 and 15x3= 45

PLEASE HELP FAST ILL MARK AS BRAINLIEST

Answers

Answer:

the last one

Step-by-step explanation:

please could you give me the answer?

Answers

The second bar representing Paris is misplaced.

The bar representing Munich is a bit larger than needed.

The bar representing Oslo is misplaced.

What can 1/3 be rewritten as?

Answers

Answer:

2/6,

Step-by-step explanation:

it can be rewritten as 0.3 or 2/3

What is 2 and 1/4 divided by 3/4?

Answers

Answer:3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

2 1/4 divided by 3/4 =

9/4 * 4/3 =

36/12 =

3

17 Billie deposited three paychecks, one was $435.20 , one was $ 510.20 and the third one was $ 345.12 plus $142 cash into her checking account Her original balance was $ 225.30. Assuming all the checks clear, how much will be in his checking account after the deposits are made?

Answers

Answer:

$1,657.82

Step-by-step explanation:

435.20 + 510.20 + 345.12 + 142 + 225.30 = total checking balance

1,657.82

Given the function:
f (x) = (3 x + 4) minus (2 minus x)
Evaluate for f (5).

Answers

Your answer is 22

Hope this helps!

Expand and combine like terms.
(4 + 7a²)2 =

Answers

Answer:

Step-by-step explanation:

2(4+7a^2)

=8+14a^2

=7a^2+4

OR if that 2 is an exponent

(4+7a^2)^2

=(4+7a^2)(4+7a^2)

=16+49a^4+28a^2+28a^2

=49a^4+56a^2+16

at bingo Carol won 13 out of 25 games that she played . What percent of the games did she win?? ASAP​

Answers

1325 also know as 4.7%

CAN SOMEONE SHOW FULL STEPS PLEASEE I BEG YOU ??

Answers

Step-by-step explanation:

slope is the number before x so slope here is 3/1 always add the 1 if its a whole number if its a fraction leave it.

y=mx+b

the y-intercept is always be so graphing is now easy

put a dot on the y-intercept so in this case it is 3 on the y-axis. then use rise over run. rise being up and down and run being left and right. so go up 3 then right 1 and put a dot there and connect your 2 lines to make a graph. if the number was -3/1 you go down 3 and right one then but thats just hypothetical

now to make a equation for a point you put it in y=mx+b.

please mark me brainliest if this helped

please help me out here I need it

Answers

Step-by-step explanation:

it is the 3rd one I know this as I substituted all values of x into each equation and got the answer for y

Answer:

y=2X2-5x+5

Step-by-step explanation:

What is the percent of change from 8,000 to 2,000?

Answers

Answer:

75% markdown

Step-by-step explanation:

If I am not mistaken, you can input this into everyday values like a shirt.

For example: If a shirt costs $8 but is on special for $2 then it is 75% off. Since 2 goes into 8 four times, 2 can be considered 25%. So since percent almost always add up back to 100, you take 100- 25 and you get a 75% markdown.

Or so I think, don't quote me on this.

write the equation of the line AB with A (3,4) B(6,8)
Help pleassse :)

Answers

Answer:

y = (4/3)x.

or in standard form it is

-4x + 3y = 0.

Step-by-step explanation:

The slope m = (8-4) / (6-3)

= 4/3

Using the point-slope form of a line:

y - y1 = m(x - x1)  

We use m = 4/3, x1 = 3 and y1 = 4:

y - 4 = 4/3(x - 3)

Multiply through by 3:

3y - 12 = 4(x - 3)

3y = 4x - 12 + 12

3y = 4x

y = (4/3) x

or in standard form it is

-4x + 3y = 0.

which formula represents a substance that contains covalent bonds 1) LiCl 2)CaCl2 3)K2O 4)CO2​

Answers

Answer:

It is CO2 Number 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Write the equation of the line in slope-intercept form that has a slope of 3 and passes through (5, -1)

Answers

Answer:

y = 3x - 16

Step-by-step explanation:

In this question, we have to write an equation in slope-intercept form with the given information.

Slope-intercept form: y = mx + b

We already know our slope: 3

However, we don't know what are y-intercept (b) is.

To find this, plug the given information in the equation and solve for b:

-1 = 3(5) + b

-1 = 15 + b

Subtract 15 from both sides.

-16 = b

This means that our y-intercept will be -16.

Now, plug in our new information to the equation:

y = 3x - 16

The equation y = 3x - 16 will be your answer.

Answer:

y = 3x - 16

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope: 3

Points: (5, -1)

y = 3x + b

-1 = 3 ( 5 ) + b

-1 = 15 + b

b = -16

y = 3x - 16

At a hardware store, a tool set normally costs $80. During a sale this week, the tool set costs $12 less than usual. What percentage of the usual price is the savings?

Answers

15%

Explaination according to zehtmnt who also answered this question by another person:

You have to do a proportion

12. = x

80 100 and u have to cross multiply

80x = 1200

80. 80

Round 4.645 to the
nearest whole number.

Answers

5. since .6 is greater than 5, we round up.

Answer:

the answer is 5

Step-by-step explanation:

Number Rounded to Nearest Whole Number

4.645 5

5.645 6

6.645 7

7.645 8

8.645 9

9.645 10

10.645 11

11.645 12

12.645 13

13.645 14

Every month, Veronica deposits $230 in an account with an interest rate of 6% compounded monthly. How much money will she have in the account at the end of the first 5 years? (Round to the nearest cent. Do not enter the $ sign.)

Answers

Answer:

Veronica will have $310.04 at the end of first five years.

Step-by-step explanation:

Principal Amount P = $230

Interest Rate r = 6%

Time t = 5 years

Compounded monthly n = 12

We need to find the future amount (A)

The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values and finding A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=230(1+\frac{0.06}{12})^{5*12}\\A=230(1+0.005)^{60}\\A=230(1.005)^{60}\\A=230(1.348)\\A=310.04[/tex]

So, Veronica will have $310.04 at the end of first five years.

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