the sum of three consecutive even numbers is 42. what are the three numbers?

Answers

Answer 1

Answer:

12, 14, and 16

Step-by-step explanation:

Assume

1st number: x

2nd number: x+2

3rd number: x+4

(I'm adding 2 for each number because even numbers skip by 2)

The numbers add to 42, so

x+(x+2)+(x+4)=42

x+x+2+x+4=42

3x+6=42

3x=36

x=12

1st number: 12

2nd number: 12+2=14

3rd number: 12+4=16

12, 14, and 16


Related Questions

Jovi distributed 3(n+2) and got 3 x n + 3 x 6 is his answer correct

Answers

Answer:

Step-by-step explanation:

since 3 is outside the parenthesis (n + 2) you multiply the 3 by the n and the 2 and

3n + 6

next subtract the 6 and add the 6 to the other side

3n - 6 = 6

3n = 6

n = 2

Can someone help me with this part A: Members of a high school sports team are selling two popular items for a fundraiser:
candy bars and bags of chips. They earn $0.75 for every candy bar they sell and $0.50 for every
Dag of chips. The members want to earn at least $100 from all sales. The members of the sport
team estimate that they won't be able to sell more than 200 units in total.
Part A: Select all the inequalities that model the constraints for this situation, where x
represent the number of candy bars sold and y represent the number of bags of chips.
A. x 20
B. y20
C. x +y s 100
D. x + y < 200
E. 0.75x + 0.50y
100
F. 0.50x + 0.75y > 100

Answers

An

Step-by-step explanation:

Cx+y s 100

Answer:

All the inequalities that model the constraints for this situation:

(d) x + y < 200 ;

(e) 0.75 x + 0.50 y ≥ 100

Step-by-step explanation:

What is inequality ?

A statement of an order relationshipgreater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

As, x represent the number of candy bars sold & y represent the number of bags of chips sold.

It is given that,

price for one candy bar =  $0.75

also, price for one dag of chips = $0.50

So, price for 'x' candy bar =  $0.75x

also, price for 'y' of chips = $0.50 y

Is is mentioned in question, the sale of candy bar and bag of chips shoud be atleast $100.  

the First ineqaulity be,

0.75 x + 0.50 y ≥100

(which should the sales of candy baar and dag of chips be equal to 100 dollar or greater than 100 dollar)

Now, the second situation

Again, it is mentioned in the question is number of units (candy bar and dag of chips)  should be not more than 200 units.

the second inequality be,

x+ y < 200

(which shows that number of candy bar and dag of chips should be less than 200 units.)

All the inequalities that model the constraints for this situation

(d) x + y < 200

(e) 0.75 x + 0.50 y ≥100

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2

help can somebody do this step by step I'm giving 100 points

Answers

The answer is 83 ;D

This exposition impractically catches the pith of New York City much superior to anything I will ever have the capacity to. As a Californian, I view New York as I envision a New Yorker in the Nineteenth Century would view California. The contemplation is practically outlandish. California is the boundlessness edged pool of a landmass. Its wide open meanders perpetually, forever of the open doors which it holds until the land drops into nothingness and the Pacific devours it.

New York then again, shouldn't exist. Many think of it as the zenith of human accomplishment, a mixture of humankind existing together with an enthusiastic feeling of a club, all living under the standard held high that drains, "New York." It is where ten million drums play to their own beat, yet all ring to a similar congruity.

Didion's involvement in the city echoes these tones. The city is undoubtedly a spot where a half year can transform into eight years, and a night out can transform into a marriage. Didion expressed, "It was an unendingly sentimental idea, the puzzling nexus of all affection and cash and power, the sparkling and short-lived dream itself."

This exposition goes about as Didion's adoration letter to the city, one that isn't composed starting with one captivated sweetheart then onto the next, yet rather as Socrates would keep in touch with Zeus in an incredible miracle of his god-like power. Didion sees New York as legendary Fate, culling and cutting the strings of life which would decide her way of presence. Didion drives home the thought that New York is a thought. It represents something. New York is synonymous with America.

Opportunity. Renewed opportunities. Acts of futility. It is the New Mesopotamia, the support of life held in its bin by the two streams which give it its separated liveliness. American contemporary articles endeavor to restore the sentimental nature which used to drive American writers like Whitman and Thoreau to compose, and she completes a magnificent activity of that. My inquiry is how does Didion's association with the city influence her life?

A bank is offering 3.5% simple interest on a savings account. If you earned $525 in interest
in 2 years, how much did you deposit in the savings?
O $7,500
O $8,000
O $7.250
$7.000

Answers

Answer:

$7500

Step-by-step explanation:

Given

[tex]I = 525[/tex]

[tex]R = 3.5\%[/tex]

[tex]T =2[/tex]

Required

The Principal

This is calculated using:

[tex]I =PRT[/tex]

Make P the subject

[tex]P = \frac{I}{RT}[/tex]

So, we have:

[tex]P = \frac{525}{3.5\% * 2}[/tex]

[tex]P = \frac{525}{7.0\%}[/tex]

[tex]P = 7500[/tex]

How do the angles and side lengths of the preimage relate to the corresponding angles and side lengths of the image of a dilation with a scale factor not equal to 1?

Answers

Answer:

The angles are proportional and the side lengths are proportional.

Step-by-step explanation:

Savaas Realize

Write 2 1/6
feet as a
single fraction greater than one.

Answers

Answer:

13/6

Step-by-step explanation:

2 x _/6 = 12/6, then add 1/6 and you have 13/6

Select the correct answer. Which function is represented by this graph

Answers

Answer:

A

Step-by-step explanation:

the point is at positive 8 and none of the other answers have positive 8

A countries population in 1993 was 253 million. In 1999 it was 237 million. Estimate the population in 2007 using the exponential growth formula. round your answer to the nearest million.
Note: When solving for k, round to four decimal places.

Answers

Answer:

240 million

Step-by-step explanation:

I took the application

136,800 liters per hour is how many gallons per second?​

Answers

10.038 gallons per second!

y = 3•2^x+1 +2
Graph the equation
State the domain and range
State the asymptote

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

1. The ages of customers at a store are normally distributed with a mean of 45 years and a standard deviation of 13.8 years.
(a) What is the z-score for a customer that just turned 25 years old? Round to the nearest hundredth.
(b) Give an example of a customer age with a corresponding z-score greater than 2. Justify your answer.

Answers

Part (a)

The raw score is x = 25. The mean and standard deviation are mu = 45 and sigma = 13.8 respectively.

The z score is computed with the formula below

z = (x-mu)/sigma

z = (25-45)/13.8

z = -1.449275 approximately

z = -1.45 is the final answer

========================================================

Part (b)

We want the z score to be larger than 2. So z > 2.

This is the same as wanting the expression (x-mu)/sigma to be larger than 2

(x-mu)/sigma > 2

(x-45)/13.8 > 2

x-45 > 2*13.8

x-45 > 27.6

x > 27.6+45

x > 72.6

If a customer's age is greater than 72.6 years, then this means they have a z score greater than 2. We can say they are more than 2 standard deviations above the mean.

If you need a whole number, then I'd round up to 73. Or you could pick any age larger than this.

is 2 a solution to the equation 1/2 x 4 = 5 ?​

Answers

Answer:

yes it is good luck with your work

36 x 2 = 9 x blank x​

Answers

Answer:

x = 8

Step-by-step explanation:

36 × 2 = 9 × x

72 = 9x

9x = 72

9x ÷ 9 = 72 ÷ 9

x = 8

10x -5 = 15
O X = 10
X =-1
x = 2
O X= -2

Answers

Answer:

0

Step-by-step explanation:

Anything multiplied by 0 is 0. sorry if i did it wrong

Divide. Give the quotient and remainder.
33 - 8
:))))

Answers

Answer: 9 remainder 2

Explanation: 9 is the closest 6 can get to 56 without going over. Since 9•6=54, and 56-54=2 , 2 is the remainder.
It would be 19.6 sile download photo math 12.4

In a certain video game, players can create environments and populate them with a variety of characters. One player creates a magical park in which the unicorn population triples each day. The starting unicorn population is 8. What will the unicorn population be after the 4th day?

Answers

Answer:

2048 I think

Step-by-step explanation: 8 to the power of 3 times 4

Katelyn and Christina are going to plant a garden together. Katelyn can plant the garden working alone in 10 hours. Together it takes them 6 hours. How long would it take Christina to plant this garden working alone?

Answers

Answer:

The answer is 12 hours

1
Write an equation for the linear
relationship shown below.
4
1
6
7
8
13
10
19

Answers

Answer:

[tex]\bold{y=3x-11}[/tex]

Step-by-step explanation:

Begin with the equation [tex]y=mx+b[/tex]. Let's first find [tex]m[/tex].

For each time [tex]x[/tex] increases by 2 (the rows skip by 2), [tex]y[/tex] increases by 6. Since the relationship is linear, if [tex]x[/tex] were to increase by just 1 (half of 2), [tex]y[/tex] would increase by 3 (since we halve each component). Therefore, [tex]m=3[/tex].

To find [tex]b[/tex] (the y-intercept), we plug in the first value of [tex]x[/tex] we are given and notice the result. In this case, [tex]4 *3=12[/tex]. However, the first value of [tex]y[/tex] is 1, so we must subtract 11 so that the first term is 1. Hence, [tex]y=3x+11[/tex].

Can you please help me? (Don’t mind the hearts)

Answers

angle 3 = 127°.

I hope this may be helpful

A radioactive substance with initial value of 800g decays according to the exponential model A= 800e^(kt). After 10 years, only 400g of the substance remains. Find the value of k. Round your answer to the nearest thousandth. ​NO LINKS!!!!

Answers

Answer:

k ≈ - 0.069

Step-by-step explanation:

Given

A = 800 [tex]e^{kt}[/tex]

Substitute A = 400 and t = 10 into the equation

400 = 800 [tex]e^{10k}[/tex] ( divide both sides by 800 )

0.5 = [tex]e^{10k}[/tex] ( take the ln of both sides )

ln [tex]e^{10k}[/tex] = ln0.5

10k lne = ln0.5 [ lne = 1 ]

10k = ln 0.5 ( divide both sides by 10 )

k = [tex]\frac{ln0.5}{10}[/tex] ≈ 0.069 ( to the nearest thousandth )

Answer:

Step-by-step explanation:

400 = 800 * e^(k*t)

What are the units of t? I'm taking it as years.

Divide by 800

400/800 = e^(k*10)

1/2 = e^(k*10)

ln(1/2) = ln(e)^(k*10)

ln(1/2) = k*10 * ln(e)

ln(e) = 1

-0.69314 = k*10

-0.069314 = k

Check

A = 800 e^(-0.069314*10)

A = 800 e^(-0.69314)

A = 800 * 0.50000359

A = 400.0028722

Which is close enough to 400

2. Use the image to answer the questions.
(a) What is the center and the radius of the circle?
(b) What are the equations of the circle in graphing form and in general form? Show your work.

Answers

Answer:

Center = (-1, 1)

Radius = 3

Graphing form

(x + 1)² + (y - 1)² = 3²

General form

x² + y² + 2x - 2y - 7 = 0

Step-by-step explanation:

Center = (-1, 1)

Radius = 3

Graphing form

(x + 1)² + (y - 1)² = 3²

General form   \Expand graphing form\

(x² + 2x + 1) + (y² - 2y + 1) - 9 = 0

Rearrange

x² + y² + 2x - 2y - 7 = 0

1. At a summer job, Melissa fixes computers for small businesses. She charges a $30 fee to start a job and $15 per hour for each hour she spends on the job Use the values in this problem bo complete the inequality to represent the number of hours she needs to work on one computer to make at least $90. The number of hours worked is represented by t +​

Answers

Thanks I 6889x the money 30x plus 1

figure is shown.
What is the measure, in degrees, of

Answers

Hi I am new on this app can you help me how to post questions please
Answer:

121 degrees

Explanation:

A straight line is always 180 degrees. The measure 59 degrees is connected to a straight line, so 180-59=121

The ratio of pants to shots that John has is 3:7. If John has 12 pairs of pants then how many pants and shorts does he have?

Answers

Answer:

John has 12 pairs of pants and 28 pairs of shorts.

Step-by-step explanation:

Given that the ratio of pants to shorts that John has is 3: 7, if John has 12 pairs of pants, to determine then how many pants and shorts does he have the following calculation must be performed:

(12/3) x 7 = X

4 x 7 = X

28 = X

Therefore, John has 12 pairs of pants and 28 pairs of shorts.

If $2940 is invested at 3.2% compounded quarterly, how much is in the account after 8 years?

Answers

Answer:

The future value is $3793.776

Step-by-step explanation:

Given

[tex]PV = 2940[/tex] --- present value

[tex]r = 3.2\%[/tex] --- rate

[tex]t = 8[/tex] --- time

[tex]n = 4[/tex] --- quarterly

Required

Determine the future value

This is calculated using:

[tex]FV = PV(1 + \frac{r}{n})^{nt[/tex]

So, we have:

[tex]FV =2940 * (1 + \frac{3.2\%}{4})^{4*8[/tex]

[tex]FV =2940 * (1 + \frac{3.2}{400})^{32[/tex]

[tex]FV =2940 * (1 + 0.008)^{32[/tex]

[tex]FV =2940 * (1.008)^{32[/tex]

[tex]FV =2940 * 1.2904[/tex]

[tex]FV =3793.776[/tex]

HELP WITH THIS ASAP!

Answers

Answer:

Hi, there your answer will C. 85pi ft^2

Step-by-step explanation:

pi(5)(12)+pi(5)^2

60pi+25pi

85pi ft^2

Hope this helps :)

Please help me. Photo provided

Answers

C is the answer to the question

3) 40% of the class of 30 students are boys.
How many are girls?

Answers

Answer:

there 18 girls

Step-by-step explanation:

40% of 30 = 12

this means there are 12 boys

30-12 = 18

there 18 girls

How do slope angle relate to delta y

Answers

Answer:

"The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0."

https://education.ti.com/html/t3_free_courses/calculus84_online/mod02/mod02_lesson3.html#:~:text=The%20slope%20and%20y%2Dintercept%20values%20indicate%20characteristics%20of%20the,the%20x%2Dvalue%20is%200.

Step-by-step explanation:

Qu
Peter hired a cleaning company to clean his house. The cleaning company charges a
fixed fee of $15 plus $17 per hour to clean a house.
a. Write an equation that can be used to determine, c, the total amount in dollars that
the cleaning company charges to clean a house in h hours.

Answers

To find the total cost you need to multiply the hourly rate by the number of hours they work and add the fixed fee.

C = 17h + 15

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