A meeting room is set up with 16 rows of seats. The number of seats in a row increases by two with each successive row. The first row has 12 seats. What is the total number of seats?
a. How can you find the number of seats in each row using an explicit formula?

Answers

Answer 1

The most commonly used explicit of an arithmetic sequence is given as,

an = a + (n - 1) d

Each term in the sequence can easily be solved/computed without knowing the other terms in the sequence. Now by using the given information, we can say that,

2nd row seat = 12+ 1x2

3rd row seat = 12 + 2 x2

nth seat = 12 + (n-1) x 2

16th row seat = 12 + (16–1) x2 = 42

Since the number of seats is increasing at a constant rate, we can calculate the average number of seats in each row by taking the average of the first and last rows

Average number of seats per row = (12 +42)/2= 27

So total seats = average per row x number of rows

= 27 x 16 = 432.

More similar problems are solved in the link below.

https://brainly.com/question/19261993?referrer=searchResults

#SPJ4


Related Questions

Activity
Brayden, Howard, and Vincent are on the football team. During a game, Brayden gains 1 less than 5 times the average number of yards gained per play during the game. Howard runs for 1 more than 5 times the average number of yards gained per play during the game. Vincent runs for 5 more than 4 times the average number of yards gained per play during the game.

Question:
Is it possible that all three players gained the same number of yards? Explain your response.

Answers

Answer:

The equation for Brayden and Howard gaining the same number of yards has no solution. So, they could not have gained the same number of yards. Because Brayden and Howard could not have gained the same number of yards, all three could not have gained the same number of yards.

Step-by-step explanation:

(This is straight from Edmentum)

Select the correct answer.
A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A10, 0), B(0, 10), and C115, 0). The origin is the
center of dilation. What is the scale factor of the dilation?
OA. 1.5
OB. 2
OC. 2.5
D. 3
Reset
Next

Answers

the scale of dilation is 2.5 for the triangle ABC.

We are given the coordinates of triangle ABC as:

A(0, 0), B(0, 4), and C(6, 0)

Coordinates of dilated triangle A'B'C' is:

A' (10, 0), B'(0, 10), and C' (15, 0).

The scale of dilation can be calculated as:

k · ( 0, 0 ) = ( 0 , 0 )

k · ( 0 , 4 ) = ( 0 , 10 )

k · ( 6, 0 ) = ( 15, 0 )

k = 15 / 6 = 10 / 4 = 2.5

The scale of dilation is 2.5 for the triangle.

Therefore, the scale of dilation is 2.5 for the triangle ABC.

Learn more about dilation here:

https://brainly.com/question/3457976

#SPJ9

Simplify this::::::::::::

Answers

Answer: A

Step-by-step explanation:

It’s-2 3/8 but you could also put it as 19/8

What is 36/-4+2(10-8)

Answers

Answer:

36/-4+2(10-8)

36/-4+2(2)

-9+2(2)

-9(4)

-36

Step-by-step explanation:

Ms. Turner drove 100 miles in January. She drove 3 times as many miles in March as she did in January. She drove 4 times as many miles in February as she did in March. How many miles did Ms. Turner drive in February?

Answers

Step-by-step explanation:

100x4=400miles

400miles in February

OR

300x4=1200 miles

1200 miles in February

I don't know what is the correct one tho

Answer:

Step-by-step explanation:

1200 miles


Refer to ®N . If EN = 13 feet, what is the diameter of the circle?

Answers

EN is a radius and the diameter is twice the radius. The diameter of the circle is 26 ft.

What is meant by diameter?

In geometry, a circle's diameter is any straight line segment that passes through the center of the circle and has endpoints on the circle. It is also referred to as the circle's longest chord. Both definitions apply to a sphere's diameter.

The diameter is twice the radius because the greatest distance between two points on a circle must be a line segment through the center of the circle.

Here, CF is a radius and the diameter is twice the radius.

Diameter of a circle = 2r

d = 2r

Where, r = 13

Diameter of a circle, d = 2r

Diameter of a circle = 2(13)

Diameter of a circle = 26

Therefore, the diameter of the circle is 26 ft.

Here, EN is a radius and the diameter is twice the radius.

Therefore, the diameter is 26 ft.

To learn more about the diameter refer to:

brainly.com/question/23220731

#SPJ4


Simplify by combining like terms. -(2x + y) -2(-x-y)

Answers

The Simplified expression for -(2x + y) -2(-x-y) is y.

Like terms in an algebraic expression is defined as those terms that have same variable and that variable has the same power .

Algebraic Operation is only possible with Like terms .

For Example ; 3x , 9x are like terms .

According to the given Algebraic expression

= -(2x + y) -2(-x-y)

= -2x-y+2x+2y

Combining like terms together

We get ,

= (-2x+2x)+(2y-y)

= 0+y

=y

Therefore , the Simplified expression for -(2x + y) -2(-x-y) is y.

Learn more about Like Term here https://brainly.com/question/17198823

#SPJ4

help with the question in the image below

Answers

Answer:

Step-by-step explanation:

e


Determine whether the following are mutually exclusive. Explain.
choosing a quadrilateral that is a square and a quadrilateral that is a rectangle

Answers

A quadrilateral can be both a square and a rectangle, or a rectangle but not a square, because squares are rectangles but rectangles are not always squares. They do not conflict with one another.

What is termed quadrilateral?

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

What types of quadrilaterals are examples?

A closed, two-dimensional figure with four sides, four angles, and four vertices is called a quadrilateral. Square, rectangle, and trapezium are a few examples of quadrilaterals.

The two events are mutually exclusive if they cannot occur at the same time.

A quadrilateral can be both a square and a rectangle, or a rectangle but not a square, because squares are rectangles but rectangles are not always squares.

They do not conflict with one another.

Learn more about quadrilaterals

brainly.com/question/13805601

#SPJ4

Lisa has $375 left after paying her total expenses for the month. She wants to buy an exercise machine for$660. How much would she have to save for three months to have enough to buy this new exercise machine? For four months? For six months?

Answers

Answer:

Step-by-step explanation:

285 dollars.  the left money = 660 - 375 =285

Which quantity decreases as the sample size increases?
a. the standard deviation
b. the standard error
c. the population mean
d. the mean of all the sample means

Answers

The standard deviation decreases as the sample size increases.

What is standard deviation?

The degree of data dispersion from the mean is measured by the standard deviation. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.

A region containing 68 percent of the total number of data points would be defined by one standard deviation, or one sigma, shown above or below the average value on that normal distribution curve. Ninety-five percent of the data would be covered by two sigmas above or below, whereas three sigmas would cover 99.7 percent.

The standard deviation is significant because it reveals the degree of dispersion of the values in a particular dataset. Every time we examine a dataset, we look for the following metrics: the dataset's geographic center.

To learn more about standard deviation from the given link:

brainly.com/question/13905583

#SPJ4


Find the slope of the line through each pair of points. (2,7) and (-3,11)

Answers

The slope of line passing through points  (2,7) and (-3,11) is -4/5.

What is the slope of line?

Slope of a Line

The slope of a line is defined as the increase divided by the run, or as the ratio of the rise to the run. It describes the slope of the line in the coordinate plane. Calculating the slope of a line and determining the slope between two different points are similar activities.

The following formula is used to determine slope:

The slope of the line between two points is given by y2 - y1 / x2 - x1.

Given points are -

(2,7) and (-3,11)

Slope of the line is -

= 11 - 7 / -3 -2

= 4 / -5

So the slope of the line is -4/5

To learn more about slope of line from given link

https://brainly.com/question/3493733

#SPJ4


How can -6 be expressed as the sum of its integer and fractional parts?

Answers

The sum of its integer and fractional parts is (-6) + (-1/3).

What are fractions?

Fractions are numerical values that represent a subset of a larger whole. A fraction is a portion or section of a whole quantity, which can be any number, a specific value, or a thing.

What Are Mixed Fractions, exactly?

A mixed fraction is made up of both a whole number and a fraction. If 8 is a whole number and 1/2 is a fraction, the result is a mixed fraction.

The given expression is -6 1/3.

The integral part is -6, and the fractional part is 1/3.

To know more about mixed fraction visit:

https://brainly.com/question/8969932

#SPJ9

The correct question is: " How can - 6 1/3 be expressed as the sum of its integer and fractional parts? "

What is three x plus five x

Answers

Girlie girl you really can’t answer this? It’s 8x

ls 1.0227 a rational number Explain

Answers

The decimal 1.0227 is a rational number. First of all, it is a terminating decimal, which means that the decimal has a definite ending point. All terminal decimals are rational numbers. In addition, the decimal 1.0227 can be converted to a fraction of 10,227/10,000. Since both 10,227 and 10,000 are integers (whole numbers), this also tells us that it is a rational number.

Which expressions are equivalent to (d^1/8)^5

Answers

Using exponent properties we can get two equivalent expressions:

⁸√d^5

d^(5/8)

Which expressions are equivalent to (d^1/8)^5?

Here we need to use two properties, these are:

ⁿ√x = x^(1/n)

(x^n)^m = x^(n*m)

Now, if we use the first property, we can rewrite the expression as:

(d^1/8)^5 = ⁸√d^5

Which is an equivalent expression.

If we use the other property we can get:

(d^1/8)^5 = d^( (1/8)*5) = d^(5/8)

Which is another equivalent expression.

If you want to learn more about equivalent expressions:

https://brainly.com/question/2972832

#SPJ1

Which are equivalent ratios to 6:13?

Check all that are true

12:39

42:78

18:39

18:26

12:26

Answers

Answer:

are these time stamps

Step-by-step explanation:

let me know

Are collinearity and betweenness of points maintained under rotation? Explain.

Answers

Yes , Are collinearity and betweenness of points maintained under rotation.

A rotation is a transformation that maintains congruence of the original figure and its image.

What does "collinearity" mean?

Collinearity is the statistical term for the correlation of predictor variables (or independent variables) in a regression model to represent a linear connection. They are unable to independently estimate the value of the dependent variable when predictor variables in the same regression model are coupled.

What is an example of collinearity?

We have perfect multicollinearity if there is a precise linear relationship between two or more independent variables. Incorrect use of dummy variables (falling into the dummy variable trap), repeating the same information (weight in pounds and weight in kilograms), etc.

Learn more about collinearity

brainly.com/question/24250339

#SPJ4

3 Let ³ - 4x² - 7x + 10 = 0 be a polynomial equation. a) Find all potential rational solution(s) using the Rational Root Theorem. Separate multiple solutions with commas if necessary. b) Find all the distinct, actual rational solution(s). Separate multiple solutions with commas if necessary. If no solutions exist, enter None.​

Answers

The solution of the third degree polynomilal x³ - 4x² - 7x + 10 = 0 will be ( x - 5 )(x + 2 )( x - 1 ).

What is a polynomial?

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

Given equation is x³ - 4x² - 7x + 10 = 0. The equation will be solved as,

x³ - 4x² - 7x + 10 = 0

x³ - 3x² - 10x - x² + 3x + 10 = 0

( x² - 3x - 10) ( x - 1 ) = 0

( x² -5x + 2x - 10 ) ( x-  1) = 0

( x - 5 )( x + 2 )( x - 1 ) = 0

Therefore, the solution of the third degree polynomilal x³ - 4x² - 7x + 10 = 0 will be ( x - 5 )(x + 2 )( x - 1 ).

To know more about polynomials follow

brainly.com/question/2833285

#SPJ1

Kristen goes hiking every 3 days and swimming every 2 days. She did both kinds of exercise today. How many days from now will she next go both hiking and swimming again?

Answers

Kristen will do both the exercises together, 6 days from now.

We are told that Kristen goes hiking every 3 days and swimming every 2 days.

The day she will do both the exercises together will be the day which is a multiple of the LCM of 2 and 3.

Now, since 2 and 3 are both prime numbers, their LCM (lowest common multiple) will simply be their product, which comes out to be-

LCM (2, 3) = 2 * 3

= 6

Thus, Kristen will do both the exercises on every 6th day.

Thus, if she went for both swimming and hiking today, she will do both the exercises together again 6 days from now.

Learn more about LCM here-

brainly.com/question/10749076

#SPJ9

is √196 rational or irrational

Answers

It is a rational number :)

Answer:

rational

Step-by-step explanation:

the square root of 196 is 14 (  whole number) therefor it is rational

Simplify 3x^3 * 7y^2 * 4x * 5y ^3 using the rules of exponents

Answers

Using the rule of exponents, the expression is 12x^4 × 35y^5

What are the rules of exponents?

The rules of exponents are given as:

Product of powers rule — When they are like bases, add the powersQuotient of powers rule — When they are like bases dividing, subtract the powersPower of powers rule — Multiply the powers together when a power is raised by another exponent.

Given the expression;

3x^3 * 7y^2 * 4x * 5y ^3

collect the like bases

3x³ × 4x × 7y² × 5y³

Add the powers

12x^3 + 1 × 35^ 2 + 3

We then have;

12x^4 × 35y^5

Thus, using the rule of exponents, the expression is 12x^4 × 35y^5

Learn more about rules of exponents here:

https://brainly.com/question/847241

#SPJ1

The population of Austin, Texas, is 9.64 × 10 . The population of the
state of Texas is 30 times that of Austin. What is the approximate
population of Texas?
A. 2.9 × 10
B. 2.9 × 10
C. 2.9 × 10
D. 2.9 × 10

Answers

The population of Texas will be 2.9 × 10³.

How to calculate the value?

Population of Austin, Texas = 9.64 × 10.

The population of the state of Texas is 30 times that of Austin.

Therefore the population of Texas will be:

= 30 × 9.64 × 10

= 2900

= 2.9 × 10³

Therefore, the population of Texas will be 2.9 × 10³.

Learn more about population on:

brainly.com/question/25896797

#SPJ1

PLEASE HURRY THIS IS TIMED!!! I WILL CHOOSE BRAINLIEST!!!

Answers

Step-by-step explanation:

A=M

B=N

E=P

AB=MB

BE=NP

AE=MP

I don't know about the blanks sorry


Evaluate each expression for a=3 and b=-5 . 2 a+b

Answers

Evaluating the expression 2a + b for a = 3 and b = -5 is equal to -1.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

To evaluate an expression or an equation means to substitute a value to the variable and perform the arithmetic operations included.

Given the expression 2a + b, substitute the value of the variable a and the value of variable b.

2(3) + (-5)

Performing the arithmetic operations, we can have the value of the expression.

2(3) + (-5)

= 6 - 5

= 1

Hence, the expression 2a + b when a = 3 and b = -5 is equal to -1.

Learn more about evaluating expressions here: https://brainly.com/question/4344214

#SPJ4

Write the letter of the property, definition, or postulate that justifies each statement.
11. If m/ABC = 90°, then ZABC is a right angle.
12. If m23+ m24 = 180°, then 23 and 24 are
supplementary angles.
13. If m/PQR = m/RST, then ZPQR = ZRST
14. If 21 and 22 form a right angle, then 21 and 22
are complementary angles.
15. If ZX and Y are supplementary and ZX and Z
are supplementary, then 2Y = LZ
16. If ZJ and ZK are vertical angles, then ZJ = ZK
A. Definition of Congruence
B. Definition of Angle Bisector
C. Definition of Complementary Z's
D. Definition of Supplementary Z's
E. Definition of Perpendicular
F. Definition of a Right Angle
G. Angle Addition Postulate
H. Vertical Angles Theorem
I. Complement Theorem
J. Linear Pair (Supplement) Theorem
K. Congruent Complements Theorem
L. Congruent Supplements Theorem
17. If ZPQR and ZSTU are complementary angles, then mZPQR+ m2STU = 90°.
18. If 25 and 26 form a linear, then 25 and 26 are supplementary angles.

Answers

Answer:

Step-by-step explanation:

what is f(2)= for the piecewise?

Answers

Answer:

Piece wise

Step-by-step explanation:

Piecewise function definition A piecewise function is a function that is defined by different formulas or functions for each given interval. Its also in the name: piece. The function is defined by pieces of functions for each part of the domain.


Determine whether each sequence is arithmetic. If so, identify the common difference. 97,86,75,64, ...........

Answers

The given sequence is arithmetic progression AP. The common difference is found to be (-11).

What is the sequence called arithmetic progression AP?

Arithmetic Progression (AP) is a number sequence in which the difference between two numerical order is a constant value. Arithmetic Sequence is another name for it.

We would then come across some key terms in AP, that are denoted as:

The first term (a)Common difference (d)Term nth (an)The total of first n terms (Sn)

Some formula use in AP are-

The AP could also be expressed in concepts of common distinctions, as shown below; a, a + d, a + 2d, a + 3d, a + 4d, ………. ,a + (n – 1) dThe terms used in this progression for a given series are the first term, this same common difference, and the nth term. If a1, a2, a3,................, an is an AP, then the common difference " d " can be calculated as;  d = a2 – a1 = a3 – a2 = ……. = an – an – 1.The formula for determining the n-th term of an AP is as follows:    an = a + (n − 1) × dIf the first term, common difference, and total terms are known for an AP, the sum of the initial n terms can be calculated. The arithmetic progression sum formula is given below: Sn = n/2[2a + (n − 1) × d]

Now as per the given question;

The given sequence is  97,86,75,64, ...........

Let the first term is'a₁' = 97.

Let 'a₂' = 86 is the second term.

Let the third term is 'a₃' = 75.

Let the fourth term be 'a₄' = 64.

As we know, in the AP, the difference between two consecutive terms is equal and therefore is referred to as the common difference.

d = a₂ - a₁      

Substitute the values;

d = 86 - 97 = -11     ........(equation 1)

Now consider other pair;

d = a₃ - a₂    

d = 75 - 86 = -11      .......(equation 2)

Put the values;

Thus, both the two equation are equal. It means the common difference is same that is (d  = -11).

Therefore, the stated sequence is found to be in AP and the value of the common difference is found to be (d = -11).

To know more about the arithmetic progression, here

https://brainly.com/question/6561461

#SPJ4

do i set them equal to each other since they are opposite from one another? or do i set it equal to 180? Can someone help? thanks !

Answers

Answer:

Step-by-step explanation:

Okay so this is fun, let's lable the angle just under 72, but still on the right side B. now, side b is corresponding or equal to (2y+48). So you set them to equal 180 because it makes a straight line....

(2y+48) + 72 = 180

2y + 48 + 72 = 180

2y + 120 = 180

2y = 180 - 120

2y = 60

y = 60/2

y = 30

plug this back in and ...

2(30)+48 =

(60+48) =

108

No we'll use 108 + 72 to make sure that the y is correct and....

108 + 72 = 180 so.. CORRECT! :)

Help Please
Tickets for a school event were $1.75 for students and $3.75 for parents. If a total of 62tickets were sold for $178.50, how many student and parent tickets were sold? There were ____ student tickets sold and ____ parent tickets sold.

Answers

Answer:

There were 27 student tickets sold and 35 parent tickets sold.

Step-by-step explanation:

So first, we have to set up our equations!

s + p = 62 (s is the # of student tickets sold; p is the # of parent tickets sold;  62 is the total # of tickets sold)

1.75s + 3.75p = 178.50 (1.75s is the price for student tickets multiplied by the number of student tickets; 3.75p is the price for parent tickets multiplied by the number of parent tickets; 178.50 is the total amount of money)

Now! We are going to use elimination to solve for the variables, first for "s". To do this, we are going to multiply the first equation by -3.75!

     -3.75 (s + p = 62)

    -3.75s - 3.75 p = -232.50

+     1.75s + 3.75p = 178.50

        -2s = -54

          s = 27

Next! We have to solve for "p" by multiplying the first equation by -1.75!

-1.75 (s + p = 62)

    -1.75s - 1.75 p = -108.50

+     1.75s + 3.75p = 178.50

        2p = 70

          p = 35

Lastly, we know that there were 27 student tickets sold, and 35 parent tickets sold.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Other Questions
In Through the Tunnel, what happens when Jerry is swimming through the tunnel? Choose two responses.A.He gets a bloody nose.B.His feet get tangled in the weeds.C.His body gets stuck at a narrow point in the tunnel.D.He feels the slime on the rock and mistakes it for an octopus.E.He finds a space in the top of the tunnel where he can take another breath.F.He mistakenly thinks he is at the end when he sees sunlight through a crack plaza de toros translation Factor the polynomial by its greates9b +24b|| The first successful airplane was invented in 1903. The first successful airplane stayed in flight for a fewseconds. Combine the sentences into one sentence. Do not change any words or add anynew words. Type your answer here. Submit landmarks in vryburg solve pls brainliest A bakery sells an average of 14 dozen cupcakes a day to about 50 customers. what is their average sale rate, in cupcakes per customer?i also need the answer really quick!!! Difference between active and passive note taking approach and it's examples Compute the mean and variance of the following probability distribution. (round your answers to 2 decimal places.) x p(x) 7 0.10 14 0.20 21 0.25 28 0.45 click here for the excel data file Mercury has a specific weight of 133 kn/m^3 when the temperature is 20C. Determine the density and specific gravity at this temperature. Review - There are two factors that led to the overpopulation of the reindeer on St. Matthews Island. What are they? What is the value of your total assets if you have a car worth $4,000, you owe $1500 on the car loan, and you have a baseball card collection valued at $750? 8. Who is prohibited from carrying a firearm on their person-whether openly orconcealed?A. A person convicted of a misdemeanor gun conviction.OB. A person convicted of a felony in this state or any other state.O C. A person who does not possess a LTC.OD. All of the above A pair of parallel interstate gas power lines run 10 meters apart and are equally distant from relay station A. The power company needs to locate a gas-monitoring point on one of the lines exactly 12 meters from relay station A. Draw a diagram showing the locus of possible locations (there should be two.) Explanation would be appreciated! solve this question 1 Which is true about a representative in the House of Representatives? Which group of seafaring warriors from Scandinavia are considered to be the "founders" of the first unified state of Russia in Kiev?Group of answer choicesthe VisigothsRus VikingsThe FranksByzantines What are some benefits the internet provides teenagers ? A climber whose mass is 60 kg hangs motionless from a rope. what is the tension in the rope? A projectiles motion can be modeled by the quadratic equation: h left parenthesis t right parenthesis space equals space minus g t squared space plus space v subscript 0 t space plus thin space h subscript 0 g is 16 if in feet and 9 if in meters;; t = time in second elapsed from release of projectile; v0= initial velocity; h0 = initial height. Write the equation for a projectile that is dropped (v0 = 0) from a height of 100 ft. When will it hit the ground? Change the equation to reflect that the object is thrown upward from an initial height of 6 ft at 30 ft/sec. When will the object be back at the starting height? Hit the ground?