The sum of 3 consecutive odd numbers is 51
What is the second number in this sequence?

Answers

Answer 1

Answer:

second number= 17

Step-by-step explanation:

first number=a

second number=b

third number = c

we have:

a+b+c=51  equation 1

a=2n+1     equation 2

b=2n+3    equation 3

c=2n+5     equation 4

using equations 2, 3 and 4 in equation 1, we have

2n+1+2n+3+2n+5=51

6n+9=51

6n=51-9

6n=42

n=42/6

n=7

so we have

a=(2*7)+1 =15 first number

b=(2*7)+3 =17 second number

c= (2*7)+5 =19 third number


Related Questions

Round 12.5829 to the nearest tenth. Rounded number

Answers

Tenth is the first number after the decimal. In this equation, 5 is in tenth place but the number to the right is greater than 5, so the 5 rounds to 6. The answer is 12.6.

Answer:

12.5829=12.6

Because the 5 is the tenths place, and the 8 is greater than 5, so that would make the 5 go up to 6

unit price for 3 1/4 yards for 13$

Answers

3.25            x
-------   =   ------ = 0.25 as a decimal and 1/4 as a fraction
 13              1
Hope this helps!

Solve the following system of equations by graphing. If the system is inconsistent or the equations are dependent say so.
7x-4y=3
21x-12y=9

Answers

-21x+12y=9
21x-12y=9

x=1
y=1

The expression 53(1+x) represents the total cost of a meal including the tip. What do the different parts of the expression represent? Drag the parts of the expression into the boxes to match each description. cost of meal tip percentage

Answers

Given that the expression 53(1+x) represents the total cost of a meal including the tip.

53 in the expression repressent the cost of meal while x represent the tip percentage.

The correct answers are:

53 is the cost of the meal and x is the tip percentage.

Explanation:

When we add a tip to the total cost of a meal, we pay 100% of the cost of the meal plus an additional amount.  In decimal form, this gives us 1 + the decimal for the tip percent.  This is the (1+x) in this expression.

We multiply this (1+x) by the cost of the meal.  This means that in this case, 53 is the cost of the meal.

A town received 2 3/4 inches of rain one day and 5 2/5 inches the next day .How many of inches of rain fell in the town over the two days

Answers

2 3/4 + 5 2/5 = 2.75 + 5.4 = 8.15
⇒ 8.15 inches of rain fell in the town over the two days.

During a card game you give someone 5 cards then someone else gives you 7. Write an addition expression to describe this situation. Then find the sum.

Answers

c will equal the total amount of cards.

c = (-5) + 7

c = 2

You have 2 additional cards.
x will be total amount of cards you have in the beginning
g will be the final amount


x - 5 + 7 = g
x +(7-5) = g
x + 2 = g

answer

x + 2 = g 

hope this helps

A restaurant took 1/10 of an hour to use 1/6 of a package of napkins at this rate how many hours would it take to use the entire package

Answers

36 minutes is how long it would take to use a package of napkins
1/10 of an hour is 6 minutes. So if they used 1/6 of a package in 6 minutes, then 6/6 of the package, or the entire package would be used up in 36 minutes (6*6)

PLEASE HELP!!!!!
The table shows the outputs, y, for different inputs, x:
Input (x) 6 12 15 25
Output (y)14 15 15 16

Part A: Do the data in this table represent a function? Justify your answer.

Part B: Compare the data in the table with the relation f(x) = 7x − 15. Which relation has a greater value when x = 6?

Part C: Using the relation in Part B, what is the value of x if f(x) = 6?

Answers

Part A: Yes this is a function because there are no repeated x values. Each x value points to exactly one y output. You can graph each point and the graph will not fail the vertical line test.

----------------------------------------------

Part B: Plug x = 6 into the f(x) function given to get
f(x) = 7x-15
f(6) = 7*6-15
f(6) = 42-15
f(6) = 27
Now compare this with the table. According to the table, when x = 6, the value of y is 14. So the f(x) value is larger than the table value when x = 6

----------------------------------------------

Part C:

Replace f(x) with 6 and solve for x

f(x) = 7x-15
6 = 7x-15
6+15 = 7x-15+15
21 = 7x
7x = 21
7x/7 = 21/7
x = 3

So the final answer, for part C, is x = 3

A pair of vertical angles may also form a linear pair true or false?

Answers

It is false, because vertical angles are the same size angles, and a linear pair has to add up to 180 degrees.

Hope this Helps!

Evaluate the expression 6x-x2 for x= 0, 1, 2, 3, 4, 5, and 6. Use your results to fill in the table. Describe any pattern that you see.

Answers

The values of the expression [tex]6x - x^2[/tex] are evaluated for x values from 0 to 6 and a symmetrical pattern around x = 3 is observed, with the expression value increasing up to x = 3 and then decreasing symmetrically.

The expression to evaluate is [tex]6x - x^2[/tex]. Let's plug in each value of x into the expression and see the result.

For x = 0: the expression becomes [tex]6(0) - (0)^2[/tex] = 0.For x = 1: the expression becomes [tex]6(1) - (1)^2[/tex]= 5.For x = 2: the expression becomes [tex]6(2) - (2)^2[/tex] = 8.For x = 3: the expression becomes [tex]6(3) - (3)^2[/tex] = 9.For x = 4: the expression becomes [tex]6(4) - (4)^2[/tex] = 8.For x = 5: the expression becomes [tex]6(5) - (5)^2[/tex] = 5.For x = 6: the expression becomes [tex]6(6) - (6)^2[/tex] = 0.

The pattern we can observe from filling the table is that the value of the expression increases until x = 3 and then decreases symmetrically.

At x = 0 and x = 6, the expression has a value of 0, creating a symmetry about the axis x = 3, which is the vertex of the parabola represented by the given quadratic expression.

A bakery uses 48 pounds of flour each day. It is open for business 28 days each month. How many pounds of flour does the bakery use each month? A.1,500 pounds , B.1,344 pounds , C. 800 pounds ,Or D.76 pounds?

Answers

The answer is B.1344 because they use 48 each day and on 28 48x28=1344
48*28=1344 that is the answer

the average cost of regular gasoline in north carolina increased by 73% from 2006 to 2007. If the average cost of a gallon of gas in 2006 was %2.069, what was the average cost in 2007?

Answers

you would need to do 2.069+73% which would get you 3.57937
Final answer:

The average cost of regular gasoline in North Carolina increased by 73% from 2006 to 2007. Therefore, if the average cost in 2006 was $2.069, it increased by approximately $1.51 to about $3.58 per gallon in 2007.

Explanation:

The subject of this question is a real-world application of the concept of percentage increase in mathematics. To calculate the average cost of regular gasoline in North Carolina in 2007, we use the given fact that it increased by 73% from 2006 to 2007. If the average cost in 2006 was $2.069,

First, find out what the 73% of $2.069 is. We do this by multiplying 2.069 by 73/100: 2.069*(73/100) = $1.51037.

Next, add the number you found above to the original 2006 price: $2.069 + $1.51037 = $

3.57937

.

So the average cost of regular gasoline in 2007 in North Carolina was approximately $3.58 per gallon (rounding to the nearest cent).

Learn more about percentage increase here:

https://brainly.com/question/20818421

#SPJ2

Andy ate 3/4 cup of oatmeal on Monday and 1/4 cup oatmeal on Tuesday how much oatmeal did he eat on the 2days

Answers

Andy ate 1 cup of oatmeal (D).  3/4 + 1/4 is 1 whole ( or 1 cup in this situation).
To solve this you add 3/4 by 1/4.
When adding fractions make sure to only add the numerators (top number) and not the denominators (bottom number). So,

3/4 + 1/4 = 4/4

The simplest form of 4/4 is 1. So, the answer is 1.


I hope this helped you!

Lila graph the points -2 and 2 on a number line. What does the distance between these two points represent?

Answers

the distance represents a 4 unit space it would be 4 and not 0 because you add the absolute value

if this really helped mark me as brainliest ^-^

4 units is  the distance between these two points represent

What is Number system?

A number system is defined as a system of writing to express numbers.

Number line is a picture of a graduated straight line that serves as visual representation of the real numbers.

Let the x point is at minus two and y is at two

The distance will be always positive

As we count the number of humps for each unit we get four.

So the distance is 4 units.

The distance between two points is the length of the line joining the two points

|-2-2|=4

Hence, 4 units is  the distance between these two points represent

To learn more on Number system click:

brainly.com/question/22046046

#SPJ5

Mario ordered a pizza for dinner when it arrived Mario ate 1/8 of the pizza his pet poodle ate 1/3 of the pizza what is the portion that has been eaten?

Answers

Mario ate 3/24 of the pizza, while his poodle ate 8/24 of the pizza

3 + 8 = 11

11/24 of the pizza has been eaten

hope this helps

what is the slope of y = 3.9

Answers

Assuming that there is no x term, the answer is 0. 

The slope is 0 because this line is a flat horizontal line.
We can write y = 3.9 as y = 0x+3.9

The equation y = 0x+3.9 is in the form y = mx+b where m = 0 is the slope. 

To find the value of an expression is to _______________.

variable

squared

algebra

evaluate

Answers

evaluate , I've had this question before and I got it right

A model for the path of a toy rocket is given by h= -68t - 4.9t^2


How long does it take the rocket to hit the ground? How high was the rocket at 2 seconds? What is the maximum height of that rocket and how long does it take that rocket to reach it's maximum height?

Answers

The right equation has to be h= 68t - 4.9t^2, or you will get negative times.

I will show you the solution using h = 68t - 4.9t^2

1) How long does it take the rocket to hit the ground?

ground level => h = 0

=>  68t - 4.9t^2 = 0

factor the polynomial => - t (4.9t - 68) = 0

=> t = 0 (which is when the rocket takes off) and 68 + 4.9t = 0 (which is when the rocket to return and hit the ground).

4.9t - 68 = 0 => t = 68 / 4.9 = 13.88 s

Answer: 13.88 s

2) How high was the rocket at 2 seconds?

replace t = 2 in the function h = - 4.9t^2 + 68

=> h = -4.9 (2^2) + 68 = 48.4 m

Answer: 48.4 m

3) What is the maximum height of that rocket and how long does it take that rocket to reach it's maximum height?

Find the vertex of the parabola.

You should know that the vertex is at the midpoint between the two roots (zeros of the polynomial).

You already found the zeros, t = 0 and t = 13.88

So0 the vertex is at t = [0 + 13.88] / 2 = 6.94 s

And the maximum height is h = - 4.9 (6.94)^2 + 68 = 168 m

Answer: h max = 168 m, t = 6.94 s.
Final answer:

The duration for the rocket to hit the ground, its height at 2 seconds, and its maximum height can be calculated using the given quadratic equation for height over time. The maximum height is determined by finding the vertex of the parabola.

Explanation:

To determine how long it takes the toy rocket to hit the ground, we need to set the equation for height h to zero and solve for time t. The model for the path of a toy rocket is given by [tex]h = -16t2 - 4.9t2[/tex]. To solve for t, we factor the right side:

[tex]h = -4.9t(16 + t)[/tex]

Since h = 0 when the rocket hits the ground, we set [tex]-4.9t(16 + t) = 0[/tex] and solve for t. There are two solutions: t = 0 (when the rocket is launched) and the positive solution which is when the rocket hits the ground. We disregard the solution t = 0 and solve for the positive solution to find out how long it takes to hit the ground.

To find out how high the rocket was at 2 seconds, we simply plug t = 2 into the original equation:

[tex]h = -16(2)2 - 4.9(2)2[/tex]

And solve for h to get the height at 2 seconds.

To determine the maximum height of the rocket, we need to find the vertex of the parabola represented by the given equation, which is a quadratic function of t. Since the coefficient in front of t2 is negative, the vertex will give us the maximum height. The time it takes to reach the maximum height is given by t = -b/2a, where a and b are coefficients from the equation [tex]h(t) = at2 + bt + c.[/tex] In this case, a = -4.9 and b = -68.

The calculations must be done to find the precise values for the time to hit the ground, the height at 2 seconds, and the maximum height of the rocket, along with the time it takes to reach it.

Learn more about Quadratic Equation here:

https://brainly.com/question/30098550

#SPJ3

What is the relationship between the 1s in 911,147,835?

Answers

the 1 is in the:

hundred thousands place
millionth place
and ten millionth place

hope this helps

A computer that costs $1099 last year cost $999 this year. What is the percent change? Explain please.

Answers

only like 5 % or what are your options the price only went down 100$

Answer:

9.1

Step-by-step explanation:

Formula; Higher value-lower value/Original value x 100

Solve;

$1099-$999/$1099 x100

= 100/1099 x100

= 9.0991810737

Round = 9.1

[RevyBreeze]

Write the number 60 as a product of its prime factors in the same way. Write the factors in order, from smallest to largest

Answers

60 = 2 x 3 x 5 x 2


2 x 2 x 3 x 5 is your answer

hope this helps
60 = 2 x 3 x 5 x 2
2 x 2 x 3 x 5 will be your answer

12y+d=-19y+t what is the solution for y?

Answers

have a great day! it should be 


Without values for the other variables, I assume you're asking for a literal equation.

12y+d=-19y+t
31y+d=t
31y=-d+t
y=(-d+t)/31
Get y by itself
+19y to 12y
31y+d=t
-d
31y=t-d
Divide 31 to get y by itself
Y=t/31-d/31
I THINK

Find the value of y in this equation: 16y = 164

Answers

16y=164
Divide both sides by 16
So y= 164/16
Your answer will be a fraction
The previous person who answered this is correct and y= 10.25 or 10 and 1/4

you randomly pick two numbers from 1 to 9. If you could pick the same number twice and the first of the two numbers are in less than five in the probability that the sum of the two numbers is less than five is

Answers

Alright, so the number is less than 5, we pick it twice, and the sum (2*number) is less than 5, we have 2 options - 2 or 1. 3 or more doesn't work because 3*2=6. The probability of choosing 2 is 1/9, and choosing 2 again is 1/9. Since they don't have anything to do with each other, we multiply 1/9 by 1/9 to get 1/81 as the chance of choosing 2 twice. Since we can have 1 twice too, we add 1/81 to 1/81 to get 2/81

what are the steps to solve multi-step equations? (in 5 steps)

Answers

The steps to solve multi-step equations are;

1. Parenthesis

2. Exponents

3. Multiplication/division

4. Addition/subtraction

What does it mean to solve an equation?

An equation represents equality of two or more mathematical expression.

To solve an equation, they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

For the Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

The steps to solve multi-step equations are;

1. Parenthesis

2. Exponents

3. Multiplication/division

4. Addition/subtraction

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

Joe ran at 6km/h for 30 mins. how far did he run? sorry this is kind of stupid but pls help

Answers

Because one hour is 60 minutes, Joe ran 6km/60min

To get from 60 to 30, we can divide by 2. REMEMBER: Divide on both sides!

6/2=3

We end up getting 3km. 

Hope this helps and please mark brainiest :D

a
108 degrees

b
24 degrees

c
156 degrees

d
72 degrees

Answers

According to the Alternate Exterior Theorem, alternate exterior angles are congruent. So:

3x = 4x - 24
x = 24

But, this question is not over. This question is asking for angle RST, not x.

3(24) = 72

Hope this helped!

A large bag contains 12/15 pound of granola how many 1/3 pound bags can be filled with this amount of granola how much granola is left over

Answers

TO get the number of bags, we simply get the quotient, that is:

(12 / 15 pounds) / (1 / 3 pounds) = 2.4 bags

 

Since bags cannot be decimal, so it can only fill 2 bags. The left over is 0.4 or:

0.4 * (1/3) = (2/5) * (1/3) = 2/15 pounds

 

Answer:

2 bags filled, left over is 2/15 pounds of granola

Answer:  2 bags can be filled and [tex]\dfrac{2}{5}[/tex] pound of granola will be left over.

Step-by-step explanation:

Given : A large bag contains [tex]\dfrac{12}{15}[/tex] pound of granola.

The number of bags can be filled with [tex]\dfrac{1}{3}[/tex] pound of granola in each bag will be :-

[tex]\dfrac{12}{15}\div\dfrac{1}{3}\\\\=\dfrac{12}{15}\times\dfrac{3}{1}=\dfrac{12}{5}\\\\=2\dfrac{2}{5}[/tex]

Thus, the number of bags = 2

The amount  of granola left=[tex]\dfrac{2}{5}[/tex] pound

Taylor buys 6 bus tickets. He pays for the tickets with a $20 bill. Let c represent the cost of each ticket. Which expression shows how much change Taylor will receive?

Answers

20 = 6c

your expression will be 20 - 6c 

hope this helps

Imani gives vitamins to her dog.The recommended dosage is 1 teaspoon per day for adult dogs weighting 10 pounds. She needs to give vitamins to Bruiser, who weighs 80 pounds and to Dust Ball, who weighs 7 pounds. What is the correct dosage for each dog? Set up a proportion. Please help me!!!!

Answers

[tex] \frac{1tsp}{10lbs} \frac{xtsp}{20lbs} \frac{1sp}{10lbs} \frac{xtsp}{7lbs} [/tex]

bruiser = 8
dyst ball = 0.7

The correct dose for Bruiser is 8 tablespoons, and for Dust ball it will be 0.7 pounds.

What is a proportion?

A proportion is a comparison of two numbers that each represent the parts of a whole.

Given that, Imani gives vitamins to her dog. The recommended dosage is 1 teaspoon per day for adult dogs weighting 10 pounds. She needs to give vitamins to Bruiser, who weighs 80 pounds and to Dust Ball, who weighs 7 pounds.

The proportion will be = 1/10 = x/80 = y/7

x = 8 and y = 0.7

Hence, The correct dose for Bruiser is 8 tablespoons, and for Dust ball it will be 0.7 pounds.

For more references on proportion, click;

https://brainly.com/question/2548537

#SPJ5

Other Questions
Farrah is painting vases to sell in a local craft show. She paints 8 vases in 2 hours. Which is a reasonable estimate of the amount of time it will take her to paint 50 vases? A plane leaves the airport at 2:00 pm and flies south at 160 miles per hour. another plane leaves the same airport at 4:00 pm and flies 11 degrees north of west at 180 miles per hour. at 5:00 pm, what is the distance between the two planes? report your answer with 2 significant figures HELP QUICK!!!A sample of marble has a volume of 6 cm3 and a density of 2.76 g/cm3. What is its mass? A. 16.56 g B. 8.76 g C. 2.17 g D. 0.46 g What happened in Rome after the invasion of the Etruscan people with respect to the economic and political part? In a dialog box, click a(n) ____ to select one option from a group of options. Early in the twentieth century, emory bogardus developed the social distance scale to measure It is estimated that between 1899 and 1924, about 2.1 million italians left the u.s. while almost ____ million arrived. Who said vision without execution is hallucination Three deer, a, b, and c, are grazing in a field. deer b is located 64.9 m from deer a at an angle of 53.4 north of west. deer c is located 77.9 north of east relative to deera. the distance between deer b and c is 96.8 m. what is the distance between deer a and c a patient is to receive 25 mg of methimazole, a drug used to treat hyperthyroid conditions. the drug is dissolved in solution containing 6.0 mg/mL What is the efficiency of a machine that miraculously converts all the input energy to useful output energy? How is the underlined word used in the sentence? May I borrow your new computer game, Ben? A. object of a preposition B. direct address C. direct object D. subject complement Ben is the underlined word Read this passage from "The Black Cat":This hideous murder accomplished, I set myself forthwith, and with entire deliberation, to the task of concealing the body. I knew that I could not remove it from the house, either by day or by night, without the risk of being observed by the neighbors. Many projects entered my mind.What can the reader infer about the narrator from the businesslike tone of this passage?A. That he is a clever and highly intelligent manB. That he is without morals and possibly insaneC. That he can set aside his emotions and get the job doneD. That he is a good person caught up in a bad situation The incomes in a certain large population of college teachers have a normal distribution with mean $75,000 and standard deviation $10,000. sixteen (16) teachers are selected at random from this population to serve on a committee. what is the probability that their average salary is more than $77,500? A list of the perfect cubes that are between 100 and 600, In a normal fault, which arrows describe the direction of the stress of the fault? Need help with number 12. Thanks the theme of young goodman brown is Sam can rent a canoe for $3 an hour. if he rents the canoe , he would also have to pay $15 for a non-refundable deposit. he has $30 to spend on canoeing. write an equationto find out how many hours sam can canoe? -10d^4 e^3 f^5 15d^2 e^2 f Steam Workshop Downloader