Five times the second of three consecutive odd integers is thirteen less than three times the sum of the first and third integers. Find the largest odd number.

Answers

Answer 1

Answer: 15

Step-by-step explanation:

suppose;  three consecutive odd integers are x; x + 2; x+ 4 (x is a odd integer)

because Five times the second of three consecutive odd integers is thirteen less than three times the sum of the first and third integers

=> 5(x + 2) = 3( x +x +4) - 13

<=> 5x + 10 = 6x + 12 - 13

<=>6x - 5x = 10 + 13 - 12

<=> x = 11

=> the largest odd number is 11 + 4 = 15

Answer 2

The largest of the three consecutive odd integers which could be written as a, a+2 and a + 4 is 15

Let the integers be : a, a + 2, a + 4

Creating a mathematical equation using the scenario given.

5(a + 2) = 3(a + (a + 4)) - 13

Open the bracket bracket

5a + 10 = 3(2a + 4) - 13

5a + 10 = 6a + 12 - 13

5a + 10 = 6a - 1

Collect like terms

5a - 6a = - 1 - 10

-a = - 11

a = 11

The largest integer = a + 4 ; 11 + 4 = 15

Therefore, the largest of the consecutive odd integers is 15

Learn more : https://brainly.com/question/18109354


Related Questions

The surface area in square units of a cylinder with a volume of 18 cubic units is a function of its radius in units where . What is the surface area of a cylinder with a volume of 18 cubic units and a radius of 3 units

Answers

Answer:

the height is 0.6367 so the surface area is 68.55

Surface area is the total area of an object's outer facing surfaces. The total surface area is calculated by adding all the areas on the surface: the areas of the object's base, top, and lateral surfaces (sides).

How to Find surface area of cylinder?

You can use r2 to replace B (area of the base), which is a type of prism with a circular base, and 2r to replace p. (perimeter of the base). The surface area of a cylinder is calculated as SA=2r2+2rh.

Therefore,

The cylinder's surface area is 264 cm2 (approximately)

3 unit is the cylinder's radius.

The cylinder's height is 18 units

To locate:

Area of contact

Having said that,

Cylinder surface area = 2r(h + r)

replacing the necessary values,

Surface area is equal to

2 x 22 /7 x 3 × 3( Plus 4)

Surface area equals 264/7 (7)

Surface area equals 1848/7

264 cm2 is the surface area.

The cylinder's surface area is 264 cm2 (about).

To learn more about surface area, refer to:

https://brainly.com/question/27440983

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write the equation of a line that is perpendicular to the line y=-3/7-15 and that passes through the point (9,2)

Answers

Answer:

Step-by-step explanation:

First substitue the coordinates to the equation so

x=9, y=2

you would get

2=-3/7(9) + b

we put b because we are trying to find the new slope

multiply the two numbers above

2=-3/6/7 + b

subtract the whole number from both sides

b= 5/6/7

in equation would be

y= -3/7 + 5/6/7

Let me know if there is an error.

Estimate the area of the figure. Each square represents 2 units^2.

Answers

Answer:

60 units²

Step-by-step explanation:

Approximate area is about 50 units²

The closest option is the last one

Find the product of -9 and -3.

27
-27
3
-3

I NEED THIS ASAP!!!

Answers

Answer:

negative number times negative number gives you positive number.

Step-by-step explanation:

-9x-3

=27

find the slope given the points (2,-7) and (-1,6)
A. 2/3
B. -13/3
C. 0
D. 13/3

Answers

B. -13/3 because 6-(-7)/-1-2 = -13/3

Determine if the expression x2 + 1 is a
polynomial or not. If it is a polynomial,
state the type and degree of the
polynomimal.

Answers

Answer:

Yes it is,

Step-by-step explanation:

Degree 1 (Exp 1) and it has 2 elements (2X and 1)

There are 4 boys and 2 girls from the seventh grade and 3 boys and 5 girls from the eighth grade in the math club. The math club sponsor will randomly pick one student from each grade level to represent the team.

What is the probability that both will be girls?

Answers

Answer:

5/24 or 20.8%

Step-by-step explanation:

 

Probability that the 7th grader is a boy = number of boys/(total kids) = 4/(4+4) = 1/2

 

Probability that the 8th grader is a boy = 5/(5+7) = 5/12

 

Probability that both are boys = 1/2*(5/12) = 5/24 or 20.8%

At a concert 1,600 in tickets were sold. Adult tickets were $9 each and children’s tickets were $4 each. If the number of adult tickets was 30 less than twice the number of childrens tickets, how many of each kind were sold

Answers

Answer:

140 TICKETS

Step-by-step explanation:

Two similar triangles are shown on the coordinate grid:
Which set of transformations has been performed on triangle ABC to form triangle A′B′C′?

dilation by a scale factor of 4 followed by reflection about the x-axis
dilation by a scale factor of 2 followed by reflection about the x-axis
dilation by a scale factor of 4 followed by reflection about the y-axis
dilation by a scale factor of 2 followed by reflection about the y-axis

Answers

Answer:

The set of transformations has been performed on triangle ABC is dilation by a scale factor of 2 followed by reflection about the x-axis

Step-by-step explanation:

Let us write the vertices of Δ ABC

∵ Vertex A = (-2, -1)

∵ Vertex B = (0, 0)

∵ Vertex C = (1, -3)

Let us Write the vertices of Δ A'B'C'

∵ Vertex A' = (-4, 2)

∵ Vertex B' = (0, 0)

∵ Vertex C' = (2, 6)

Let us find the scale factor k between the x-coordinates of the points and their images.

∵ -4 = k (-2) ⇒ Divide both side by -2

∵ [tex]\frac{-4}{-2}[/tex] = [tex]\frac{-2k}{-2}[/tex]

2 = k

The scale factor of a dilation is 2

∵ The signs of the y-coordinates of the images are the opposite of

    the signs of the y-coordinates of the points

∴ The triangle is reflected about the x-axis

The set of transformations has been performed on triangle ABC

   is dilation by a scale factor of 2 followed by reflection about the x-axis

someone solve this quick please

Answers

Answer: 2n^2+3n-4

1st differnce is 3, 7, 11, 15

2nd differnce is 4

so its 2n^2

we compare it to teh 2n^2 sequence

2 8 18 32 50

-1 2 9 20 35

difference is 3, 6, 9, 12,15

so it is 3n-4

Julie suggests that they package together with the fries and soda in a combo for a $0.75 discount.

If the student council spent $0.85 per french fry and $1.20 per soda, then how much money will they make if they sell 45 combos?

Answers

Answer:

PLZ MARK BRAINLIEST!

The answer is $92.25

Step-by-step explanation:

0.85+1.20=$2.05

2.05 times 45= $92.25

Answer:

Hey, want to do a zoom today? I can do one in about an hour

Step-by-step explanation:

All the following are equivalent to 2(2a + b ) +8, except ______.
4a + 2b + 8
2(2a+b+4)
4(a+b+2)
4a+2(b+4)

Answers

Answer:

Except 4(a+b+2)

Step-by-step explanation:

It's 4a+4b+8 when expand

Write the equation from the graph in slope intercept form​

Answers

Answer:

y=2/3x−4

Step-by-step explanation:

Answer: [tex]y=\frac{2}{3}-4[/tex]

Step-by-step explanation:

Slope[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\=\frac{-4-0}{0-6}\\=\frac{-4}{-6}\\=\frac{4}{6}\\=\frac{2}{3}[/tex]

Since the line hits the y-intercept at -4 the answer is

[tex]y=\frac{2}{3}-4[/tex]

(6 , -10 ) , ( -15, 15) ​

Answers

Answer:

1st. 3 2nd.2

Step-by-step explanation:

Hope this helped and was correct

I'm not sure how you find the slope for this! I need it quickly!!​

Answers

That is Slope Form. They should give you two coordinates and you substitute them in.
uhm...i think this the FORMULA to
find slope, pls write the numbers

Find the slope (3,-5) and (0,0)

Answers

Answer:

- [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Find slope by using slope intersept form ( [tex]\frac{y2-y1}{x2-x1}[/tex])

Plug the x and y values from the given pairs into slope interspt form: [tex]\frac{-5-0}{3-0}[/tex]

Find the diffrence: [tex]\frac{-5}{3}[/tex]

Solution : - [tex]\frac{5}{3}[/tex]

Yeah I’m pretty sure the first person is correct:)

In the complex plane, the rectangular coordinates (x, y) represent a complex number. Which statement explains why polar coordinates (r, θ) represent the same complex number?

Answers

Answer: second option (counting from the top)

Step-by-step explanation:

When we have a number:

z = x + y*i

we can represent this with the point:

(x, y).

Now, remember that in polar coordinates, we need to use the variables:

r = distance to the (0, 0), or the "magnitude" of the point.

θ = angle measured counterclockwise from the x-axis.

r is easy to find, is the magnitude, this is calculated as:

r = √(x^2 + y^2)

To find θ, suppose that we have a triangle rectangle, where x is the adjacent cathetus, and y is the opposite cathetus, and θ is the angle as we described it.

We know that:

Tan(θ) = opposite cathetus/adjacent cathetus = y/x

Tan(θ) = y/x

Then:

θ = Tan^-1 (y/x)

Then the correct option is the second option (counting from the top)

Answer:

its b

Step-by-step explanation:

trust

14) zeroes of the polynomial x^2+5x+6 are...

Both positive
Both negative
One is positive and other is negative
None​

Answers

Answer:

both negative

Step-by-step explanation:

Descartes rule of signs tells us how many positive and negative real roots a polynomial has.

Given

f(x) = x² + 5x + 6 , with signs

+, +, + ← no change of signs, thus no positive zeros

f(- x) = (- x)² + 5(- x) + 6 = x² - 5x + 6 , with signs

+, -, + ← with 2 changes of signs. thus 2 negative zeros

Answer:

B) Both Negative

Step-by-step explanation:

[tex](x^2+5x+6)\\=(x^2+2x+3x+6)\\=x(x+2) + 3(x+2)\\=(x+3)(x+2)\\Hence,\ as\ their\ factors\ are\ (x+3)\ and\ (x+2)\ their\ zeroes\ are\ (-3)\ and\ (-2)\ respectively..\\As\ they\ both\ are\ negative..\ the\ answer\ is\ b)\\\[/tex]

i need to know 7 divided by 4/5 =

Answers

Answer:

8.75 or 8 3/4

Step-by-step explanation:7

   

The numbers in 7 divided by 4/5 are labeled below:

7 = whole number

4 = numerator

5 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

7 x 5

4

 =    

35

4

Thus, the answer to 7 divided by 4/5 in fraction form is:

35

4

To make the answer to 7 divided by 4/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

35 / 4 = 8.75

The answer is rounded to the nearest two decimal points if necessary.

35/4 is an improper fraction and should be written as 8 3/4.

Is this relation a function? Explain. ​

Answers

Answer:

No

Step-by-step explanation:

In a function there can only be one x for each y.

how do I solve 9x-4= -44​

Answers

9x - 4 = -44
•add 4 to both sides to isolate the variable
9x = -40
•divide both sides by 9 to isolate the variable
x = -40/9 or −4.444...

A bank charges a monthly fee if the average monthly balance of your account is less than $4000. The table shows the balance of your account the first four months it is open. Find the average monthly balance of your account after the fourth month. Do you have to pay the fee after the fourth month?

Please help me.

Answers

Answer:

where is the table??? pls send it

plez help meeee wit this plez

Answers

The slope is [tex]\frac{dy}{dx}[/tex] which means it's 100/40 which is 2.5 or 5/2

[tex]d[/tex] has a full time job in defining difference :D

So basically the slope is defined as the difference in the [tex]y[/tex] over the difference in the [tex]x[/tex]

Answer:

5/2

Step-by-step explanation:

To find slope, we can see how much to rise and run from one point to another. In this example, the slope would be 5/2 because you rise 5 and run 2 to get to a different point.

Hope this helps! Have a nice day ^^

You bought 15 apples and 2 bags of Carmel for $16.00. The bags of caramel costs $5.35. How much does each apple cost? Write an equation.

Answers

Answer:

5.35*2+x=16 and the answer is $.35

Step-by-step explanation:

5.35*2+x=16

10.70+x=16

-10.70     -10.70

x=5.30

5.30/15= about .35

Answer

$12.65/15

Step-by-step explanation:

$16.00-$5.35=$12.65

This means that $12.65/15 is the cost of each apple.


5. Explain how you would classify if a square root is rational or irrational.

Answers

Answer:

if its not a perfect square(like u can't square it) then its irrational

what is a domain in math?

Answers

Answer:

"In mathematics, the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall."

Step-by-step explanation:

la siguinete tabla mustran la correspondencia entre dos variables. Determina si es funcion o relacion

Answers

Answer:

where's the table. on és la taula?

Step-by-step explanation:

Read each question and answer accordingly
Write a linear equation in slope-intercept form with the following information*
Passes through (-2,-11) and is perpendicular to y=--x+2.
4

Answers

Answer:

653

Step-by-step explanation:

After buying a pair of sneakers, Ben has $12 left which is 20% of what he started with. How much money did Ben have before he bought his pair of sneakers?

Answers

Answer: $60

Step-by-step explanation:

Given that:

Amount left after purchasing sneakers = $12

$12 is equivalent to 20% of the initial starting amount

Let starting amount = x

20% of x = $12

0.2x = $12

Divide through by 0.2

0.2x / 0.2 = $12 / 0.2

x = $60

Hence, starting amount before buying sneakers is $60

plzzzzzzzzzzzzzzzzzzzzzzzz helpppppppppp

Answers

Answer:

[tex](-7_{s})^3[/tex]=  -343s

Step-by-step explanation:

-343s^3 is your answer

I wanted to show my work but let me show you using a website

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