Given the following sequence, find the 77th term.
-8, -4, 0, 4, 8, ...

Answers

Answer 1

Answer:

Step-by-step explanation:

The given sequence is an arithmetic sequence with a common difference of 4. The 77th term of the sequence is the 77th term of the arithmetic sequence, which is given by the formula:

a_n = a_1 + (n - 1) * d

where a_n is the nth term of the sequence, a_1 is the first term of the sequence, and d is the common difference. Substituting the values for a_1, n, and d into this formula, we get:

a_77 = -8 + (77 - 1) * 4

= -8 + 76 * 4

= -8 + 304

= 296

Therefore, the 77th term of the sequence is 296.

Answer 2
THE CORRECT ANSWER IS 296

Related Questions

In the ale the original price are reduced by 15%
a. Calculate the ale price of a book that ha an original price of $12
b. Calculate the original price of a jacket that ha a ale price of $38. 25

Answers

Answer:b

Step-by-step explanation:

determine whether the geometric series is convergent or divergent. 8 + 7 + 49 8 + 343 64 +

Answers

The given geometric series [tex]$\quad 8+7+\frac{49}{8}+\frac{343}{64}+\cdots$[/tex] is convergent in nature.

[tex]$\quad 8+7+\frac{49}{8}+\frac{343}{64}+\cdots$[/tex]

Since it is geometric series. (As it is given in the question)

A series is considered to be convergent if the partial sums gravitate to a certain value, also known as a limit. In contrast, a divergent series is one whose partial sums do not reach a limit. Divergent series typically go to ∞, go to −∞, or don't approach one specific number.

Here the value of a=8, while the value of the common ratio [tex](r)=\frac{a_2}{a_1}=\frac{7}{8}=\frac{7}{8}[/tex]

since [tex]$|r|=\frac{7}{8} < 1$[/tex]

So the given series is convergent.

The sum of geometric series with infinite terms is equal to [tex]$\frac{a}{1-r}$$$[/tex]

Sum[tex]=\frac{8}{1-\frac{7}{8}}=\frac{8}{\frac{1}{8}}=64[/tex]

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assume you wanted to save$2000 to buy a used car 18 months from now.How much money do you need to save every week to accomplish your goal

Answers

Answer: $28 per week

Step-by-step explanation:

1 month = 4 weeks

18 times 4 = 72 weeks

So you know you want to save 2000 to buy a car 72 weeks from now.

So take 2000 divided by 72 = $27.77 per week

So you need to save about $28 per week.

Commutative Property
8y-0.2y+0.5y+2.2+1.3-0.4
Step 1
Step 2
Step 3
Step 4
(8-0.2+0.5)+(2.2 +1.3-0.4)
(8y-0.2y+0.5y)+(2.2+1.3-0.4)
8y+2.2-0.2y+1.3+0.59-0.4
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
ANTTEM HERE
DRAG AND DROP
AN ITEMSHERIE
8.3y + 3.1
Associative Property Distributive Property
Reason
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
ANATEM HERE
Final Expression
Explanation
Reordering
Grouping
Factoring
Simplifying

Answers

The given Commutative Property is 8y - 0.2y + 0.5y + 2.2 + 1.3 - 0.4 by solving this property we get the answer as (8.3y + 3.1).

What is a commutative property?

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.

What is associative property?

According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped. According to the question,

Steps involved are:-

ReorderingGroupingFactorizingSimplifying

So,

8y - 0.2y + 0.5y + 2.2 + 1.3 - 0.4

= (8 - 0.2 + 0.5) y + (2.2 + 1.3 - 0.4)

= (8 + 0.5 - 0.2) y + (2.2 + 1.3 - 0.4)    

= (8.5 - 0.2) y + (3.5 - 0.4)    

= (8.3) y + 3.1    

= (8.3y + 3.1)

Thus , by following all the steps and properties we get the obtained result.

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What values x and y prove that triangles ABC ~= BAD?

Answers

By using congruency, it can be calculated that

x = 6, y = 5

What are congruent triangles?

Two triangles are said to be congruent if their corrosponding sides and corrosponding angles are same. There are different axioms of congruency. They are-

AAS axiom, SAS axiom, ASA axiom, SSS axiom, RHS axiom

It is given that [tex]\Delta[/tex] ABC [tex]\cong[/tex] [tex]\Delta[/tex] BAD

So [tex]\angle[/tex]CAB = [tex]\angle[/tex]ABD [Corrosponding parts of congruent triangles are congruent]

4y = 20

y = [tex]\frac{20}{4}\\[/tex]

y = 5

Also,

AC = BD [Corrosponding parts of congruent triangles are congruent]

5x - 3 = 3x + 9

5x - 3x = 9 + 3

2x = 12

x = [tex]\frac{12}{2}[/tex]

x = 6

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Lines q, r, s, and t are distinct lines in the same plane. Decide if lines q and t are parallel, perpendicular, or if there is not enough information given.

Answers

The lines q and t are, perpendicular to each other.

How to find if two lines are perpendicular to each other?

If two lines are perpendicular to each other, then their slopes are negative reciprocal of each other. That means, if one line's slope is 'a', then its perpendicular line's slope would be -1/a

Noted that Parallel lines have the same slope, the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Given that Lines q, r, s, and t are distinct lines in the same plane.

IF the lines are;

q is perpendicular to r,

r is perpendicular to s

s is perpendicular to t

Then we can conclude that q is perpendicular to t

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calculate the perimeter of the irregular shape 4cm 3cm 2cm 3cm 5cm 6cm 9cm

Answers

Answer:8 cm 6 cm 8 cm 6 cm The perimeter of the shape is 8 + 6 + 8 + 6 = 28cm.

Step-by-step explanation:

What symbols do I need for 5 23 18 8 4 to equal 10?

Answers

Arithmetic operations can be used to solve this question by using the topic of order of operations. We need to use × and - operators to get the correct answer.

How do we solve inequalities using Arithmetic operations?

Many straightforward inequalities can be resolved by adding, taking away, multiplying, or dividing both sides until the variable is all that remains. However, these factors will shift the direction of inequality: Using a negative number to multiply or divide both sides. switching the left and right sides. When resolving an inequality, you can do one of the following:

• Add the same amount to each side;

• Subtract the same amount from each side;

• Multiply or divide each side by the same positive amount. You must flip the inequality sign if you multiply or divide each side by a negative number.

Calculation:

5 x (23-18) x (8-4)=100

So we can subtract 23 from 18 where we will get 5 and by subtracting 4 from 8 you will get 4. By multiplying the numbers using × operator you will get the final answer.

Arithmetic operations can be used to solve this question by using the topic of order of operations. We need to use × and - operators to get the correct answer.

Arithmetic operations can be used to solve this question by using the topic of order of operations. We need to use × and - operators to get the correct answer.

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According to the IRS, taxpayers calling the IRS in 2017 waited 13 minutes on average for an IRS telephone assister to answer. Do callers who use the IRS help line early in the day have a shorter wait? Suppose a sample of 50 callers who placed their calls to the IRS in the first 30 minutes that the line is open during the day have a mean waiting time of 11 minutes before an IRS telephone assister answers. Based on data from past years, you can assume that the standard deviation of waiting times is 8 minutes. Using these sample results, can you conclude that the waiting time for calls placed during the first 30 minutes the IRS help line is open each day is significantly less that the overall mean waiting time of 13 minutes? Use alpha=0.05

Establish the two hypotheses
Calculate the test statistic
Make a decision using the critical value approach
Make a decision using the p-value approach

Answers

P-value = 0.0384

As P-value < 0.05, reject the null hypothesis.

What is test statistic?

A statistic (a number obtained from the sample) used in statistical hypothesis testing is known as a test statistic. Usually, a hypothesis test is described in words.

A test statistic is a figure obtained from a statistical analysis. It explains how distant your observed data is from the null hypothesis, which states that there is no correlation between the variables or distinction between the sample groups.

The alternative and null hypotheses are listed below.

Lack of hypothesis H0: μ = 13

Ha: 13 Alternative Hypothesis

Statistical test, z = (xbar - mu)/(sigma/sqrt(n))

z = (11 - 13)/(8/sqrt(50))

z = -1.77

Region of Rejection

For α= 0.05, this is a left-tailed test.

Z has a critical value of -1.645.

Therefore, if z -1.645, reject H0 and accept the null hypothesis.

P-value Approach

P-value = 0.0384

As P-value < 0.05, reject the null hypothesis

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Identify the missing parts in the proof.
Given: DB bisects ABC.
Prove: m A:
B:
C:
D:

Answers

Answer:

Step-by-step explanation:c because I’m in college and Ik trust me

Please help!!
In the diagram, ΔMTD ≅ ΔGLS . Which statement is true?
∠M ≅ ∠G
DT ≅ LG
DM ≅ SL
∠T ≅ ∠S

Answers

Answer:

∠M ≅ ∠G

Step-by-step explanation:

Given:

ΔMTD ≅ ΔGLS

This means that triangle MTD is congruent to triangle GLS.

Two triangles are said to be congruent if:

all three corresponding sides are equal.all three corresponding angles are equal.

Therefore:

∠M ≅ ∠G∠T ≅ ∠L∠D ≅ ∠S

Similarly:

TM ≅ LGDT ≅ SLDM ≅ SG

Therefore, the true statement is ∠M ≅ ∠G.

Solve this equation please .T-6= 13 for t

Answers

T - 6 = 13
+ 6
T = 19

Answer: T = 19

Answer:

[tex] \sf \: t = 19[/tex]

Step-by-step explanation:

Given equation,

→ t - 6 = 13

Now the value of t will be,

→ t - 6 = 13

→ t = 13 + 6

→ [ t = 19 ]

Hence, the value of t is 19.

write the expression using exponents. a⋅a⋅c⋅c =

Answers

The expression when expressed in its exponent is a²+c²

how to express a number in exponent form?

In mathematics, we should understand that exponent tell the power to which a number is raise.

 It shows the number of times a number multiplies itself to get the certain member.

The given expression is a*a*c*.

Using the law of multiplication that says when two or more numbers in the same base are multiplied, we add their powers.

Here a appeared twice a*a=a²

And c appeared twice that is c*c=c²

Combining the two exponents together we have that

a²+c²

In conclusion, the exponent of a*a*a*a is a²+c²

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what would the slope of a line parrallel to 2x-y=-1 be?

Answers

Answer:

2

Step-by-step explanation:

2x - y = -1

-y = -2x - 1

y = 2x + 1


parallel line = same slope

alex is x years old. june is 7 years older than alex. in 5 years, their total combined age will be 31 years. write a linear equation for their total combined age in 5 years

Answers

The linear equation for their total combined age in 5 years is 2x + 17 = 31.

Describe the term linear equation?A linear equation is indeed an algebraic expression of the form y=mx+b, where the slope is m and b is the y-intercept, and only a constant and the first-order (linear) term are included.

Let the age of Alex be x years old.

Let the age of June be 'y'.

June is exactly 7 years older than Alex.

y = x+7

In next 5 years, combined  total age will be of 31 years.

(x+5) + (y+5) = 31

Now, the linear equation that models total combined age in 5 years

Replace y with (x+7)

x + 5 + (x+7) + 5 = 31

2x + 17 = 31

Thus, linear equation for their total combined age in 5 years is 2x + 17 = 31.

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taken in 1992 15% of the oublic have responded to a tleepheone calll in poll in a random gorup of five people what is the probability that exactly two have resoinded to a call in poll

Answers

The probability that exactly two people out of a group of five have responded to a telephone poll is approximately 26%.

The probability that exactly two people out of a group of five have responded to a telephone poll can be calculated using the binomial distribution. The probability of a single person responding to a call in a poll is 15%, and the probability of a single person not responding to a call in a poll is 85%.

The probability of two people out of a group of five responding to a call in a poll can be calculated using the formula for the binomial probability mass function:

[tex]P(X=2) = (5 choose 2) * (0.15)^2 * (0.85)^3[/tex]

where (5 choose 2) is the binomial coefficient, which represents the number of ways to choose 2 people out of a group of 5.

Plugging in the values, we get:

[tex]P(X=2) = (10) * (0.15)^2 * (0.85)^3 = 0.2574[/tex]

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A statistician wants to determine the relationship between typing speed, in words per minute, and the time, in minutes, it takes to type one page of a specific book. Twenty-five trials are completed and the correlation coefficient between typing speed and time is determined to be -0.622. Therefore, slower typing speed was related to greater time. How is the correlation affected if the units for time are changed from minutes to seconds?
Select one:
a. The correlation and time measurement would change proportionally to one another.
b. The correlation would stay the same because the change in units for time would have no effect on it.
c. The correlation would increase because changing the units for time would result in an increase in time values.
d. It is impossible to determine the amount of change experienced by the correlation.
e. The correlation would decrease because only the units for one of the variables changed.

Answers

Answer:

B

Step-by-step explanation:

The correlation coefficient is a measure of the strength and direction of the linear relationship between two variables. It is calculated using a formula that takes into account the values of the two variables and their relationship to each other. This formula is not affected by changes in the units of measurement of either variable. Therefore, changing the units of time from minutes to seconds in this scenario would not affect the value of the correlation coefficient, so it would remain the same.

Option A, "The correlation and time measurement would change proportionally to one another," is incorrect because the correlation coefficient is not affected by changes in the units of measurement of either variable.

Option C, "The correlation would increase because changing the units for time would result in an increase in time values," is also incorrect because the correlation coefficient is not affected by changes in the actual values of the variables, only by the strength and direction of the relationship between them.

Option D, "It is impossible to determine the amount of change experienced by the correlation," is incorrect because, as explained above, the correlation coefficient is not affected by changes in the units of measurement of either variable.

Option E, "The correlation would decrease because only the units for one of the variables changed," is also incorrect because, as explained above, the correlation coefficient is not affected by changes in the units of measurement of either variable.

A toy hop purchae 125 identical tuffed animal for total cot of 312. 50 and ell them for $7 each. What i the percent markup?

Answers

When they buy 125 identical stuffed animals for $312.50 and sell them for $7 a piece, the percent markup is 64.2%.

What is percentage?

A percentage is a figure or ratio that may be stated as a fraction of 100 in mathematics. If we need to compute the percentage of a number, divide it by the entire and multiply by 100. As a result, the percentage denotes a part per hundred. The term % refers to one hundred percent. The sign "%" represents it. To compute a percentage, divide the value by the entire amount and multiply the result by 100. (value/total value)100% is the formula for calculating percentage.

Here,

Total cost=$312.50

Total sell price=7*125

=$875

Markup Price=(875-312.5)/875*100

=0.642*100

=64.2%

The percent markup is 64.2% when they purchase 125 identical stuffed animal for total cost of 312. 50 and sell them for $7 each.

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the following set of ordered pairs defines a function. complete the following {(-26,10), (-30,10),(15,10),(10,10),(-9,10)} add one additional ordered pair to this set such that the set of the ordered pairs still define a function

Answers

Answer:

(0,10)

Step-by-step explanation:

You could put any ordered pair, as long as the y value is 10.

The equation of this function is

y = 10  It is a horizontal line going through.  The y intercept is (0,10)                      

4. Javier bought a microwave for $105. The cost
was 30% off the original price. What was the
price of the microwave before the sale?

Answers

The price of the microwave before sales is 350 dollars.

How to find the price of the microwave?

Javier bought a microwave for $105. The cost was 30% off the original price.  Therefore, the price of the microwave before sales can be calculated as follows:

let

x = price before sales(original price)

Therefore,

105 = 30% of x

105 = 30 / 100 × x

105 = 30x / 100

cross multiply

10500 = 30x

divide both sides by 30

10500 / 30 = 30x / 30

x = 350 dollars

Therefore, the original price is 350 dollars.

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How tall is the table?
1- D
120 cm
90 cm

Answers

Answer:

Step-by-step explanation:

105 cm

You use a triple beam balance than you get 174cm

A rubber ball is dropped from an initial height of 40 feet. The ball consistently rebounds to 80% of its previous height

Answers

Answer:

The ball travels (exactly) 75 feet.

Step-by-step explanation:

Assuming the balls comes to rest:

S = a1 / (1 - r)

Now a1 is the first bounce, 20 ft (10 feet up, 10 feet down.

r is 2/3

S = 20 (1 / (1 - 2/3)

S = 20 / (1/3)

S = 60

Yet that is only the bounce. The drop of 15 feet must be added.

Based on the graph below, what are the new dilation vertices of triangle JKLM with vertices J(-6,2), K(-4,4), L(0,0) M(-2,-2): K= 5/2

Answers

The new dilation vertices of the rectangle are J'(-15, 5), K'(-10, 10) L'(0, 0) and M'(-5, -5).

What is the Dilation of the rectangle?

Dilation occurs when a polygon grows or shrinks while maintaining its overall shape. It's similar to zooming in or out on a camera. The polygon in the figure above is a rectangle JKLM. As you move the slider on the right, the transformed rectangle J'K'L'M' grows and shrinks but retains its shape.

We have,

Rectangle JKLM with vertices:

J(-6,2), K(-4,4), L(0,0) M(-2,-2): K= 5/2

New dilation vertices of the rectangle are:

J'(-15, 5), K'(-10, 10) L'(0, 0) and M'(-5, -5)

Hence, the new dilation vertices of the rectangle are J'(-15, 5), K'(-10, 10) L'(0, 0), and M'(-5, -5).

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Marg Cardo Started to depet P1000 Quarterly in A Fund that pay 5% compounded Quarterly. How much will be Hi Fund affec 7 year

-What Will be the Future

Answers

The right response is C. Only X-values inside the original data's range give meaning to the prediction values.

A statistical model that depicts the relationship between two variables is a regression line. It is utilized to forecast the value of a dependent variable depending on the value of an independent variable (independent variable).

The degree to which the regression line matches the data determines how accurate these forecasts are. For values of the independent variable that are similar to the values used to fit the model, the regression line will typically offer the most precise predictions. Prediction values therefore typically only have significance for X-values that fall within or very near the range of the original data set.

The predictions might not be correct if you use the regression line to construct them for independent variable values that are far outside the original data range. This is because, outside of the range of the data that was used to construct the model, the model may not effectively represent the connection between the two variables.

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Help pls 50 ptssssssssssssss

Answers

Area of a square:

A = s², where s - side length

We have s = 6⁴, then the area is:

A = (6⁴)² cm²

Or, apply the power of the power rule (xᵃ)ᵇ=xᵃᵇ to get:

A = 6⁸ cm²

Help! will mark brainlies!

Answers

Answer: x = 9

Step-by-step explanation:

Let's start with what we know. We know that the sum of all angles is 180 so:

13x + 2 + 3x - 4+ 5x - 7 = 180

21x - 9 = 180

21x = 189

Divide by 21 on both sides:

x = 9


14. Jackie borrows $1,500 at 5.75% compound
interest for five years. If she makes monthly
payments, how much is her loan amount after
five years? Round answer to the nearest dollar.
[A] $1,536
[D] $1,725
[B] $2,073
[E] $1,998
[C] $2,050
16 Robert

Answers

To find the loan amount after five years, we need to calculate the compound interest on the loan. The compound interest is calculated by multiplying the principal (the initial amount borrowed) by the compound interest rate, raised to the power of the number of compounding periods. In this case, the compound interest rate is 5.75%/12 = 0.475% per month, and there are 12*5 = 60 compounding periods (12 months per year for 5 years).

The compound interest is therefore calculated as follows:

Compound interest = $1,500 * (1 + 0.475%)^60 - $1,500

= $1,725 - $1,500

= $225

So the loan amount after five years is $1,725. Therefore, the correct answer is [D] $1,725.

What is the simplest form of this expression? (X - 4) (x^2 +3x -5)

Answers

The simplest expression is x³ - x² - 17x + 20.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(x - 4) (x² + 3x - 5)

x³ + 3x² - 5x - 4x² - 12x + 20

x³ - x² - 17x + 20

Thus,

The final expression is

x³ - x² - 17x + 20

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Help, please!!!!! Major point for this assignment

Answers

Step-by-step explanation:

45° is an alternate angle with 5y+10. All alternate angles are equal. opposite sides of a parallelogram are equal, we equate to find x.

source: A tutor on another math app. (Brainly doesn't recognize the name)

please help were learning about solving logarithmic equations

2^x + 2^-x = 2

Answers

Answer: 0 = 2

Step-by-step explanation:

First you need to multiply the numbers:

2x + 2(-x) = 2

2x - 2x = 2

Combine the like terms:

2x-2x = 2

So, 0 = 2

Refer to the photo taken.
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Object Oriented Programming Paradigm Procedural Programming Paradigm Understanding net free cash flow is necessary to a. make better...Understanding net free cash flow is necessary toa. make better negotiation decisionsb. help to allocate resourcesc. help to determine whether or not to keep a customerd. none of the above are correcte. all of the above are correct if you want to pay a set fee to receive unlimited or reduced-fee assistance, you should use (a) a. class-action lawsuits b. lawyer c. legal aid society d. prepaid legal services e. small claims court Darwin's age is 6 years greater than twice fiona's age.If darwin is 50 years old, how many years old is fiona morgan (age 45) is single and provides more than 50% of the support of tammy (a family friend), jen (a niece, age 18), and jerold (a nephew, age 18). both tammy and jen live with morgan, but jerold (a french citizen) lives in canada. morgan earns a salary of $95,000, contributes $5,000 to a traditional ira, and receives sales proceeds of $15,000 for an rv that cost $60,000 and was used for vacations. she has $8,200 in itemized deductions. Determine whether or not the vector field is conservative. If it is conservative, find a function f such that F = Vf. (If the vector field is not conservative,enterDNE) F(x, y, z)= i + sin(z)j + y cos(z)k, f(x, y, z) = Find the range for the measure of the third side of a triangle given the measure of two sides.10.5 cm, 4 cmOa. 4 cm Ob. 4 cm >x> 10.5 cmOc. 6.5 cm >x> 10.5 cmOd. 6.5 cm The MusicianHow does the music playSo easily by your hand?Each note respectfully obeysThe strum of your command.Your fingers expertly pickEach and every stringIn a manner so quickThat makes them sing.All who hear your songShall say that you can do no wrong.Which line from the poem is an example of assonance? A. All who hear your song B. So easily by your hand? C. That makes them sing. D. Each note respectfully obeys the statement signed in independence hall, philadelphia on july 4, 1776. it declared that the 13 colonies were now independent from british rule. Can you use extension cord with Christmas lights? which of the following is typical correct order of floral organs from the outside to the inside of a complete flower? An athlete wants to increase his endurance and focus. which cross-training activities will help him reach this goal? se escribe al final de las oraciones que forman un mismo parrafo Answer the questions below using negative words such as: no, nada, nadie, ninguno, ningn, nunca, jams.Ex. Vas al cine con tus amigos los fines de semana?(Yo) nunca voy al cine con mis amigos los fines de semana1. Hay alguien en el cuarto de bao?2. Hay algunas toallas limpias?3. Quieres jugar al bisbol o al baloncesto?4. Quin cuida a los nios esta noche?5. Quieren ustedes tomar algo?Class commentsAdd a class comment