In a certain arithmetic sequence, the 10th term is equal to 56 and the 12th term is equal to 108. What must the 11th term be?

Answers

Answer 1

Answer:

82

Step-by-step explanation:

The formula is:

(n*26) - 204

Equation is (n * a) + x

n = 10 => 10a + x = 56 => x = 56-10a

n = 12 => 12a + x = 108 => x = 108 - 12a

56-10a = 108-12a

2a = 52

a = 26

x = 56 - 10a = 56 - (10*26) = -204

Equation = (26 * n) - 204

n = 11 => (26 *11) - 204 = 286 - 204 = 82

Answer 2

The 11th term will be equal to 82

What is arithmetic progression?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

The formula is:

Equation is (n * a) + x

(n*26) - 204

n = 10 => 10a + x = 56 => x = 56-10a

n = 12 => 12a + x = 108 => x = 108 - 12a

56-10a = 108-12a

2a = 52

a = 26

x = 56 - 10a = 56 - (10*26) = -204

Equation = (26 * n) - 204

n = 11 => (26 *11) - 204 = 286 - 204 = 82

Hence the 11th term will be equal to 82.

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Related Questions

x = (4 - 3x)/k
solve for x

Answers

Answer:

x = 4/( k+3)

Step-by-step explanation:

x = (4 - 3x)/k

Multiply each side by k

xk = (4 - 3x)/k*k

xk = (4 - 3x)

Add 3x to each side

xk+3x = 4

Factor out x

x ( k+3) =4

Divide each side by (k+3)

x ( k+3) / ( k+3) =4/( k+3)

x = 4/( k+3)

ILL GUVE BRAINLIEST IF ITS CORRECT

Answers

Answer:

Sorry I don't know :'(

Step-by-step explanation:

I'm in 6th grade too

Suppose thatb if a person travels the Europe for the first time, the probability that he will visit London is 0.70; Paris is 0.64; Rome is 0.58; Amsterdam is 0.58; London and Paris is 0.45; London and Rome is 0.42; London and Amsterdam is 0.41; Paris and Rome is 0.35; Paris and Amsterdam is 0.39; Rome and Amsterdam is 0.32; London, Paris and Rome is 0.23; London, Paris and Amsterdam is 0.26; London, Rome and Amsterdam is 0.21; Paris, Rome and Amsterdam is 0.20, and all 4 cities is 0.12. What is the probability that he will see at least one of these four cities?

Answers

Answer:

The probability that he will visit at least one of the four cities is 0.88

Step-by-step explanation:

The given information can be presented as follows;

The probability that he will visit London = 0.70 = A

The probability that he will visit Paris = 0.64 = B

The probability that he will visit Rome = 0.58 = C

The probability that he will visit Amsterdam = 0.58 = D

The probability that he will visit;

London and Paris = 0.45 = A∩B

London and Rome = 0.42 = A∩C

London and Amsterdam = 0.41 = A∩D

Paris and Rome = 0.35 = B∩C

Paris and Amsterdam = 0.26 = B∩D

London, Paris and Rome = 0.23 = A∩B∩C

London, Paris, and Amsterdam = 0.26 = A∩B∩D

London, Rome and Amsterdam = 0.21 = A∩C∩D

Paris, Rome and Amsterdam = 0.20 = B∩C∩D

All 4 cities = 0.12 = A∩B∩B∩D

Therefore, the probability, P(at least one), that he will visit at least one of the four cities is the complement of the probability that he will visit all the four cities

∴ P(at least one) = (A∩B∩B∩D)' = 1 - (A∩B∩B∩D) = 1 - 0.12 = 0.88

P(at least one) = 0.88

Which gives, the probability that he will visit at least one of the four cities = 0.88.

geometry quick question help

Answers

Answer:

Angle 1: 127

Angle 2: 153

Step-by-step explanation:

First, let's find angle 1 by finding the angle that's supplementary to it.

To solve for it, we can set up an equation where the unknown angle and the other angles in the triangle it's in add up to 180:

x+95+32=180

x=53

Since angle 1 is supplementary to 53, that means that angle 1 is equal to 180-53 = 127.

Then, to find angle 2, we can find the angle that's supplementary to it.

To solve for that, we can set up an equation where that unknown angle and the other angles in the triangle it's in add up to 180:

26+127+x = 180

x = 27

Since angle 2 is supplementary to 27, that means that angle 2 is equal to 180-27 = 153.

What’s the question

When multiplying positive and negative fractions, you have to find a common denominator. true or false for 25 points and brainliest

Answers

Answer:

True!!!!!!!

Step-by-step explanation:

Answer: true

Explanation:

14. A=lwh , solve for w

Answers

A/lh=w is the correct answer

19 (a) Solve 3(x - 4) = 12

Answers

Answer:

.3( x -4) = 123x - 12 = 123x = (12+12)3x = 243x/3 = 24/3x = 8

Refer attachment :)

Hope, it helps you .

in ten years, the population increases from 20,000 to 23,000. Find the actual increase and the percentage increase.

Answers

Answer:

3,000 is the numerical increase and 15% is the percentage increase.

Step-by-step explanation:

It's quite easy to see that 3,000 more people were added to 20,000, since 23,000 - 20,000 = 3,000. To find the percentage, simply take 20,000 and divide it by the additional increase number, which is in this case 3,000. 20,000/3,000 = 0.15. Converting decimals to percentages, we take the digits behind the decimal and add the percent sign since 100 is equal to 1 or the whole. So 0.15 = 15%, which is the percent increase.

Answer:

actual amount of increase is 3000

% increase is 15%

Step-by-step explanation:

The actual amount of increase is

23,000-20,000= 3,000

To find the percent increase, take the actual amount of increase and divide by the original amount

3,000/20000=.15

Change to percent

15%

One side of a rectangle has length 4. Another side has length 6+7. What expression represents the area of the​ rectangle? 4×6+4×7 4×6 4×7 4×6×7.

A. 4×6×7
B. 4×6
C. 4×6+4×7
D. 4×7

Answers

Answer:

C

Step-by-step explanation:

So area is length times width for the rectangle and your length is 4 and your width is 6+7, if you do 4 times 6+7 you will get 52. If you want to be sure you can go down the answer options and do them until you find one that equals 52 which in this case is C.

4 x (6+7) = area

(in case you need the equation)

guys this is a test grade please help and show how you got it

Answers

Answer:

The answer is 21

Step-by-step explanation:

Let your number be x so the equation would be

x-8=34-x

2x=42 divide by 2

x=21

brainllist plz

Part A: Use the computer output to determine the LSRL. Identify all the variables used in the equation. (3 points) Part B: What proportion of the variation in makeup sales is explained by its linear relationship to makeup tutorial videos? Explain. (4 points) Part C: Determine if increased makeup sales were caused by online makeup tutorial videos. Explain your reasoning. (3 points)

Answers

Answer:

Follows are the solution to the given point:

Step-by-step explanation:

please find the correct question:

In choice a:

The smallest square line would be from the production.

[tex]Sales = -7.567857143 + 0.917857143 \times Makeup\ Videos.[/tex]

Purchases of Cosmetics & Makeup Demo Clips are the factors used in the calculation.

In choice b:

The proportions of its variance of maquillage sales reveal by it's a linear relation to maquillage video tutorials is [tex]99.53 \ \%[/tex].

In choice c:

Because the vector Cosmetics Demonstration videos are critical with 5.11E-07 p-value, which is less than 0.05 and[tex]R^2 = 99.53[/tex]. It may assume that increasing making-up purchases is attributed to tutorials for online makeup.

What is 15,327 rounded to the
nearest ten thousand?

Answers

Answer:

20,000

I hope this helps!

Round the number 15,327 nearest tenth will be 10,000.

What is the rounding of a number?

The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.

The integer number is given below.

⇒ 15,327

Round the number 15,327 nearest ten thousand.

If the thousand place is more than 5, then the first place before the thousand will be increased by one.

In the thousand place is 6, then the number 1 is increased by one that is 2.

Round the number 15,327 nearest tenth will be 10,000.

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What is the 7th term of the geometric sequence?

2, 8, 32, 128, ...

Answers

The 7th term of the geometric sequence is 8,192!

To find the 7th term of the geometric sequence 2, 8, 32, 128, ..., we must first determine the common ratio between consecutive terms.

The common ratio, denoted by 'r', is found by dividing any term by its preceding term. In this case, dividing 8 by 2 gives us a common ratio of 4. Now that we know the common ratio, we can use the formula for the nth term of a geometric sequence, which is given as: [tex]aₙ = a₁ * r^(n-1)[/tex]

Here, aₙ represents the nth term of the sequence (the term we are trying to find), a₁ is the first term (2 in this case), r is the common ratio (4 in this case), and n is the position of the term we are trying to find (7 in this case). Plugging in the given values, we get: a₇ [tex]= 2 * 4^(7-1) = 2 * 4^6 = 2 * 4 * 4 * 4 * 4 * 4 * 4 = 2 * 4,096 = 8,192[/tex]Therefore, the 7th term of the geometric sequence 2, 8, 32, 128, ... is 8,192.

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Which triangle's circumcenter would lie on the triangle?
123

Answers

The acute triangle to be exact

The triangle's circumcenter would lie on the triangle will be middle of the hypotenuse. Then the correct option is A.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

We know that the circumcenter is the circle that passes through the vertices of the triangle.

In a right-angle triangle, the hypotenuse represents the diameter of the circle. Then the center of the circle lies in the middle of the hypotenuse of the right-angle triangle.

The triangle's circumcenter would lie on the triangle will be middle of the hypotenuse. Then the correct option is A.

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Please help I have less than 20 minutes!!

Answers

A: 12+ (7 • x)
B: 12+ (7 • 187) = 1,321

If a store marks up the price of an item by 45% and sells it to customers for $58, what was the original price the store paid for the item?

Answers

$40

You need to divide 58 by 1.45 to get 40 btw

A tennis racket and a tennis
ball cost $2.10. The tennis
racket costs two dollars more
than the tennis ball.
How much does the
tennis ball cost?
Type Answer
SUBMIT
HELP QUICK

Answers

Answer:

Step-by-step explanation:

You want to start by subtracting 2.10 - 2 which = $0.10

The cost of the tennis ball is $0.05.

Let the cost of tennis racket be R.Let the cost of tennis ball be B.

To find the cost of the tennis ball:

Translating the word problem into an algebraic expression, we have;

[tex]R + B = 2.10[/tex]   ....equation 1

[tex]R = B + 2[/tex]    .....equation 2

Substituting eqn 2 into eqn 1, we have;

[tex]B + 2 + B = 2.10\\\\2B + 2 = 2.10\\\\2B = 2.10 - 2\\\\2B = 0.10\\\\B = \frac{0.10}{2}[/tex]

Tennis ball, B = $0.05

Therefore, the tennis ball cost $0.05.

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How many squares are in figure n

Answers

Answer:

plz add a picture

Step-by-step explanation:

Solve the following equation for f. Be sure to take into account whether a letter is capitalized or not.

N2=6f+H

Answers

Answer:

f = (N² - H)/6

Step-by-step explanation:

Step 1: Write equation

N² = 6f + H

Step 2: Solve for f

Subtract H on both sides: N² - H = 6fDivide both sides by 6: (N² - H)/6 = fRewrite: f = (N² - H)/6

2. The speed limit on a city street is 35 kilometers per hour. Write and graph an inequality to
describe a car’s possible speed.

Answers

Answer:

[tex]x\leq 35[/tex] where [tex]x[/tex] denotes speed of the car

Step-by-step explanation:

Given: The speed limit on a city street is 35 kilometers per hour.

To write and graph: an inequality to  describe a car’s possible speed.

Solution:

Let the speed of a car be [tex]x[/tex] kilometers per hour.

As the speed limit on a city street is 35 kilometers per hour,

[tex]x\leq 35[/tex]

First draw the graph of [tex]x=35[/tex] (see figure a.)

Plot the points [tex](35,0),(35,5),(35,10),(34,15)[/tex]

Take a point on the left side of line x = 35 say [tex](x,y)=(0,0)[/tex] and put it in [tex]x\leq 35[/tex]

[tex]0\leq 35[/tex] which is true.

So, shade the graph on the left side of line x = 35

See the graph b.

the pink part represents the inequality [tex]x\leq 35[/tex]

9. Find m<1.
1

32°

120°

80

88

60

73

Answers

Answer:

23*

Step-by-step explanation:

Answer:

not sure why homie said 23 lol but its D. 88

Step-by-step explanation:

If the distance from Haley's house to school is 2.5 cm on the map and the actual distance is 3 miles. What is the scale for the map?

I know the answer but I get confused on what I am comparing. Could you explain step by step.​

Answers

Answer:

Step-by-step explanation:

so you are trying to find the scale of the map which means you are comparing the distance on the map to the distance in real life. That being said you are trying to find:

For every 1cm on the map how far is that in real life?

so when you make your equation to solve like so (converting the miles to cm for an easy calculation:

2.5x = 48203

in this equation x (your answer) is the scale of map:real life

so x is how far 1cm on the map is in real life

A kitchen floor is in the shape of a square.
The area of the floor is 529 ft. What is the
length of a side of the kitchen floor?

Answers

Answer:

132.25

Step-by-step explanation:

Find the quotient.
67(-1/2)
please help!!!!

Answers

-134 you just divide 67 by -0.5 or whatever works on your calculator

The sum of the first two terms s2=34 the sum of the 3 terms 63

Answers

Answer:

sorry no answear

Step-by-step explanation:

penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. She can spend at most $35. How many rides can she ride? Write an inequality to represent this situation.

Answers

Answer:

okay so first subtract 20 from 35. you get 15 then you wanna divide 15 by 0.50 you should get 30 Penelope will be able ride 30 rides.

Given that y is a function of x, which of the following tables best represents a function?

Answers

Answer:

BBBBBBBB

Step-by-step explanation:

brainliest?

What is the length? Help

Answers

Answer:

15

Step-by-step explanation:

The figure was dilated by 1.5 to get to 9 from 6

x corresponds to BC, so we multiply 10 by 1.5 to get 15.

Hope this helps :-)

On a scale drawing of Caleb's house, the four bedroom walls each measure 10 inches wide by 6 inches tall. The scale of the drawing is 1 inch = 1.5 feet. Caleb will paint all four walls. If a gallon of paint covers 250 square feet, how many gallons of paint will Caleb need?

Answers

Answer:

Approximately 2 gallons of paint are required to paint four bedroom walls

Step-by-step explanation:

Dimensions of the four bedroom walls = 10 inches wide by 6 inches tall

As 1 inch = 1.5 feet,

10 inches [tex]=10(1.5)=15[/tex] feets

6 inches [tex]=6(1.5)=9[/tex] feets

Dimensions of the four bedroom walls = 15 feets wide by 9 feets tall

Area of one wall = product of the dimensions [tex]=15(9)=135[/tex] square feets

Area of four walls = [tex]4(135)=540[/tex] square feets

Area of four walls covered by a gallon of paint = 250 square feets

So,

Amount of paint required = [tex]\frac{540}{250}=2.16[/tex]

That is approximately 2 gallons of paint are required to paint four bedroom walls

Alia and Huda share some sweets in the ratio 7:3. Alia gives 3 sweets to Huda and
now the ratio is 5:3. How many sweets did each have initially?

Answers

Answer:

Alia=28

Huda=12

Step-by-step explanation:

Let the constant of proportionality be x

Hence, no. of sweets Alia had initially = 7x

No. of sweets Huda had initially = 3x

No. of sweets Alia has now= 7x-3

No. of sweets Huda has now= 3x+3

We know that, the ratio of the no. of sweets Alia has now to no. of sweets Huda has now = 5:3

Hence,

[tex](7x-3) : (3x+3)=5:3\\By\ equalizing\ the\ ratios,\ we\ get,\\ 3(7x-3)=5(3x+3)\\21x-9=15x+15\\21x-15x=15+9\\6x=24\\x=4[/tex]

As we now got the constant of proportionality to be 4,

No. of sweets Alia had initially = 7*4=28

No. of sweets Huda had initially= 3*4=12

Given parameters:

Original ratio number of sweets of Alia to Huda = 7:3

Final ratio  = 5:3

Alia gives 3 sweets

Huda receives 3 sweets

To solve this problem, we have to derive an algebraic equation.

Let us assume that the total number of sweets = x

  So;

  The ratio originally is;

                               7x : 3x

Alia has 7x sweets

Huda has 3x

Now Alia has (7x -3)sweets after giving out 3

        Huda has (3x + 3)sweets after receiving 3

So;

           7x -3  :  3x + 3  = 5 : 3

                    [tex]\frac{7x - 3}{3x + 3} = \frac{5}{3}[/tex]

       3(7x -3) = 5(3x + 3)

       21x - 9  = 15x + 15

       21x -15x = 15 + 9

          6x  = 24

            x = 4

Initially, Alia has 7x sweets  = 7 x 4  = 28 sweets

             Huda has 3x sweets = 3 x 4  = 12 sweets

Therefore, Alia has 28 sweets and Huda 12 sweets initially.

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