Find two consecutive odd integers such that the sum of the smaller integer and twice the greater integer is 85

Answers

Answer 1

Let's denote the smaller odd integer as 'x'. Since the integers are consecutive, the next odd integer would be 'x + 2'.

According to the given information, the sum of the smaller integer and twice the greater integer is 85. Mathematically, this can be expressed as:

x + 2(x + 2) = 85

Now, let's solve this equation to find the values of 'x' and 'x + 2':

x + 2x + 4 = 85

3x + 4 = 85

3x = 85 - 4

3x = 81

x = 81 / 3

x = 27

So, the smaller odd integer is 27. The next consecutive odd integer would be 27 + 2 = 29.

Therefore, the two consecutive odd integers that satisfy the given conditions are 27 and 29.

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Related Questions

Find the area of the inner and the outer circles, shown in the figure below. Use 3.14 for pi.


Answers

The radius of the outer circle is 17 so you put that in the formula to find the area of a circle and solve to get 153.86 squared meters as the final answer. The radius of the inner circle is 7 because it shows that the upper part of the circle is 10 and the whole thing is 17, so you do 17-10 to get 7 as the radius. Then put it in the formula and get the final answer as 907.46 squared meters.

Alana completed a problem where she had to find the sum of the polynomials (3x^2+8x-4) and (-8x^3-3x+4) Her answer is 0. Describe and correct her mistake. When graphed, how many times does the sum change directions?

Answers

Answer:

la pregunta está en blanco, ¿podría repetirla?

Step-by-step explanation:

A 36 ounce box of cereal costs $3.50. Find the unit price.

Answers

$0.0972

I think.

Um this is to make it long enough to post. lol

Answer:

Approximately $0.10 per ounce

Step-by-step explanation:

Hi! :) I'm assuming this problem is asking for the price per ounce? If not, I apologize.

So, in order to determine the price of cereal per ounce we would simply divide $3.50 by 36 to find the cost per ounce.

$3.50 / 36 = approximately $0.09722222 which we can round up to $0.10.

Hope this helps!

In 2010, there were 311 middle schools in Virginia. In 2016, there were 306. By what percent did the number of middle schools in Virginia decrease from 2010 to 2016?

Answers

Answer:1.6%

Step-by-step explanation: no of students in 2010=311

no of students in 2016=306

difference=311-306

                 =5

%decrease=5/311 x 100

Answer:

2

306 over 311 and x over 100 do the butterfly method then you have 30600 and 311x after that you divide 311 by 311 and 30600 by 311 and you have 1.6 but it says round to the nearest whole which is 2

8 + 3n ≥ 38
can yall solve plzzz

Answers

This has multiple solutions but it could b 10 and under


What is the measure of Zx?
Angles are not necessarily drawn to scale.

Answers

Answer:

the answer is 78*

Step-by-step explanation:

31 and 47 is 78...

i hope this helps

if do then thank me

i want to know if i am right

good luck

Suppose f(x) = x^3 + 1. Find the graph of
f(2x).

Answers

Step-by-step explanation:

I am sorry. I just typed the equation into my calculator app. Refer to the attached image above to make a deduction.

Answer:

Mga madlang pipol. The answer is graph 2

What are all t possible names for these?? Help plz

Answers

Answer:

13.....square

14....parallelogram

15....rhombus

16....trapezium

17...kite

18....rectangle

Answer:

#13 is a square, #14 is a rectangle, #15 is a rhombus, #16 is a trapezoid, #17 is a qaudrilateral, and #18 is a rectangle also.

Hope this helps :)

Solve for θ. Please help me!!

Answers

We're given the hypotenuse and the opposite side so that means that we're gonna be using the inverse of sine to find the angle.

[tex] {sin}^{ - 1} = \frac{opp}{hyp} = \frac{6}{12} [/tex]

[tex] = 30 \: degrees[/tex]

What figures are similar for brainliest

Answers

Answer:

option D is correct answer of this question ,all is similar

Answer:

d

Step-by-step explanation:

Where does the graph of y = -3x - 18 intersect the x-axis?

Answers

Answer:

(-6,0)

Step-by-step explanation:

In El Salvador the temperature is 87 degrees Fahrenheit at 7AM. By noon the temperature has risen 6 degrees. What is the temperature?

Answers

Answer:

93 Because remember when they said that the Temperature degrees was any 7 right so what they mids I think was to add 6 more to that number If I'm wrong just tell me a probly a 100% got this wrong but alias I try

8. It takes Aldrin 30 minutes to finish reading the 10 pages of a book. How long does it take for
him to finish reading the 15 pages?​

Answers

Answer:

it took him 15 more minutes it would be 45 minutes in all

Step-by-step explanation:

I hope I helped!!

i'm really confused on this, anything will help

Answers

Answer:

I think its 1200 not sure though

Answer:

1,200

Step-by-step explanation:

first you would divide 480 copies by 4 minutes to see how many copies per minute (120) Then you would take 120 copies per minute and multiply it by the 10 and you would get 1200 copies per 10 minutes! lmk if that helps:)

PLEASE HELP ME WITH THIS I WILL MARK BRAINLIEST

Answers

Answer:

a=60

Step-by-step explanation:

all you do is add 90+135+75 which is 300

then subtract 300 from 360, which is 60

360-(90+135+75)=60

PLEASE HELPPPPPPPPP PLEASE I BEG ILL GIVE 20 POINTSSSS

Answers

Answer:

6 spaces

Step-by-step explanation:

The vertical axis is on the left, and point B is moving to the right of that. Based on the number point B is aligned with on the horizontal axis, point B is 6 spaces away from the vertical axis.

Find the length of the hypotenuse of the triangle. 4.5 m 6 m The length of the hypotenuse is meters.​

Answers

Answer:

c = 7.5 meters.​

Step-by-step explanation:

hello :

use phtagore - rule :

c² = 6²+4.5²

c² = 36 + 20.25

c² =56.25

c  = √56.25

c = 7.5 meters.​


2. Carrie listened to the latest country album 3 times in a row in 2.75 hours. Write an equation to find the length of the album.

a. 3t=2.75
b. 2.75(3)=t
c. 2.75t=3
d. 2.75(3)(t)

HELP ME PLEASE

Answers

The answer is A.
3 is the number of times she listens and “t” is the length of the album.

find the value of (3^0+4^-1)×2^2 ​

Answers

(3⁰+4-¹) × 2²

= (1 + ¹/₄ ) × 4

= ⁵/₄ × 4

= 20

Answer:

Solution

=(1+0.25)×4

=1.25×4

=5

since 3^0=1

Find the arc length of the semicircle with a radius of 5

Answers

7.85 is the approximate answer. (If pi is 3.14)

Steps are on paper.

Having trouble solving this:

Answers

Answer:

It's the third option.

Step-by-step explanation:

Because if [tex]\frac{7}{10}[/tex] was converted into a decimal it would be 0.7 plus 666, it would be 666.7

Answer:

it's the 3rd one

HELP!!!
A triangle has sides of 6m and 9m . Which is
a possible length, in meters, of the third side?
A-2m
B-3m
C-5m
D-17m

Answers

Answer:

C-5m

Step-by-step explanation:

Answer:

answer is ( b )

Solve this system of linear equations. Separate
the x- and y-values with a comma.
9x = 1 - 4y
-7x = -7 + 4y

Answers

Answer:

y = 7 and x =3

Step-by-step explanation:

use elimination method

so we gonna eliminate y first

9x = 1 - 4y

-7x = -7 + 4y

7| 9x = 1 - 4y

9| -7x = -7 + 4y

63x = 7 - 28y

-63x = -63 + 36y

add eqtn 1 to eqtn2

you will get

0 = -56 + 8y

56 = -56 + 56 + 8y

56 = 8y

56÷8 = 8y÷ 8

7 = y

also eliminate x as we have done wth y

4| 9x = 1 - 4y

4| -7x = -7 + 4y

36x = 4 - 16y

-28x = -28 + 16y

add the two equations

u will get

8x = -24 + 0

8x = -24

8x÷8 = 24÷ 8

x = 3

Which have the following has a slope of 3 and y - intercept of 4

Answers

Answer:

The first table, and the graph.

Step-by-step explanation:

Need help ASAP please!!
Don’t know how to give brainliest sorry-

Answers

Answer:

32°

Step-by-step explanation:

All triangles must have a sum of 180°. Given the angle 58° and since this is a right triangle, we have 2 out of the 3 angles to work with.

90 + 58 + x = 180

x = 32

please help! not sure how to do this

Answers

Answer:

y=−3x+4

Step-by-step explanation:

Step 1: Flip the equation.

−6x+8=2y

Step 2: Add -8 to both sides.

−6x+8+−8=2y+−8

−6x=2y−8

Step 3: Divide both sides by -6.

−6x −/6 = 2y−8 /−6

What is the slope of the line that passes through the points (-2,-1) and (2,-3) answer in simplest form

Answers

Answer:

Step-by-step explanation:

(-3 + 1)/(2 + 2)= -2/4= -1/2 is the slope

cuánto mide el ángulo ABF​

Answers

Answer:

no tengo suficiente information para responder

Step-by-step explanation:

A large block of ice is melting and losing 5 grams of mass every minute. After 11 minutes, the ice has lost 70 grams. Assume the relationship is linear.

Answers

The linear equation of line is given by y = 6.5x - 1.5 where the slope of the equation m = 6.5 , y = amount of ice lost and x = time elapsed

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the amount of ice lost = y

Let the time elapsed be = x

A large block of ice is melting and losing 5 grams of mass every minute

So , the first point be A = A ( 1 , 5 )

After 11 minutes, the ice has lost 70 grams

So , the second point is B = B ( 11 , 70 )

Now , the slope of the line is given by the formula ,

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 70 - 5 ) / ( 11 - 1 )

Slope m = 65/10

Slope m = 6.5

Now , the equation of line is given by ,

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 5 = 6.5 ( x - 1 )

y - 5 = 6.5x - 6.5

Adding 5 on both sides of the equation , we get

y = 6.5x - 1.5

Therefore , the value of A is y = 6.5x - 1.5

Substitute the value of x = 11 minutes , we get

y = 6.5 ( 11 ) - 1.5

y = 71.5 - 1.5

y = 70 grams

Hence , The linear equation of line is given by y = 6.5x - 1.5 where the slope m = 6.5

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What is the variable for For the equation 2n - 3 = 7

Answers

Answer: n= 5

Step-by-step explanation:

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