Find three consecutive odd integers such that the sum of twice the first and three times the second is 55 more than twice the third.

Answers

Answer 1

Answer:

Step-by-step explanation:

let the numbers be n,n+2,n+4

2n+3(n+2)=2(n+4)+55

2n+3n+6=2n+8+55

2n+3n-2n=63-6

3n=57

n=57/3=19

so numbers are 19,21,23

Answer 2

Answer:

-19.333…

-18.333…

-17.333…

Step-by-step explanation:

First is x

Second is x+1

Third is x+2

2x+3(x+1)=2(x+2)-55

2x+3x+3=2x+4-55

5x+3=2x-51

5x-2x=-51-3

3x=-58

3x/3=-58/3

x=-19.333…

x+1=-19.333+1

=-18.333...

x+2=-19.333+2

=-17.333...


Related Questions

solve for q: plz help

Answers

Answer:

-0.67 rounded to hundredths

Step-by-step explanation:

3×(q + 4/3) = 2

q + 4/3 = 2/3

q = -2/3 = -0.666666666666...

Solve the equation
3/4x+3-2x= -1/4+1/2x+5
Please help I have tried everything and I haven’t gotten the right answer and it won’t let me move on

Answers

3/4x + 3 - 2x = -1/4 + 1/2x + 5

Put in terms of 4 as denominator
3/4x + 12/4 - 8/4x = -1/4 + 2/4x + 20/4

Combine like terms
-5/4x + 12/4 = 2/4x + 19/4

Simplify
12/4 = 7/4x + 19/4
-7/4 = 7/4x
x = -1 :)

Check:
3/4(-1) + 3 - 2(-1) = -1/4 + 1/2(-1) + 5
-3/4 + 3 + 2 = -1/4 - 1/2 + 5
-3/4 + 5 = -3/4 + 5
-3/4 = -3/4 :)

Select the correct answer. Which graph represents the solution to this inequality? A. B. C .

Answers

Answer: C

Step-by-step-explanation: Given

- (12x + 8) ≤ - 2x + 11 ← distribute parenthesis on left side

- 3x - 2 ≤ - 2x + 11 ( add 3x to both sides )

- 2 ≤ x + 11 ( subtract 11 from both sides )

- 13 ≤ x , thus

x ≥ - 13

Since x can equal - 13 then a solid circle at - 13 represents the solution

Since x greater than - 13 then the arrow is facing to the right of - 13 on the number line.

Then the graph representing the solution is C

A rectangular balcony has an area of 28 square meters. Its perimeter is 22 meters. What are the
dimensions of the balcony?
A) 7 meters by 4 meters
B) 14 meters by 2 meters
C) 11 meters by 2 meters
D) 10 meters by 1 meter

Answers

ANSWER: A) 7 meters by 4 meters
EXPLANATION:
We know that the area of the rectangular balcony is 28 square meters, so lets check if our dimensions match the area:

7 meters • 4 meters = 28 square meters (correct)

So lets check the perimeter: 2 (l + w)
2 ( 7 + 4 ) = 22 meters

HOPE THIS HELPS
-SpaceMarsh

Find the measure of KL

A. 10
B. 5
C. 7
D. 8

Answers

Answer:

[tex]ML=9,MN=8[/tex]

[tex]MK=ML+LK[/tex]

[tex]9+-3+x[/tex]

[tex]=9-3+x[/tex]

[tex]MK=6+x[/tex]

[tex]ME=MN+NE[/tex]

[tex]ME=8+x[/tex]

Now using Secant secant theorem:-

[tex]ML*MK=MN*ME[/tex]

[tex]9(6+x)=8(8+x)[/tex]

[tex]54+9x=64+8x[/tex]

Subtracting 8x and 54 on both sides:-

[tex]54+9x-8x-54=64+8x-8x-54[/tex]

[tex]x=10[/tex]

[tex]KL=-3+x[/tex]

[tex]KL=-3+10[/tex]

[tex]KL=7[/tex]

so, your answer is C) 7

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

hope it helps....

Answer:

C.) 7

Step-by-step explanation:

I got it correct on founders edtell

Help plsss 10 points

Answers

the answer is 3.....

PLEASE HELP I NEED IT REALLY FAST!!!!

Answers

The length is 5

Step-by-step explanation:

Let the length be x

Width = ( X - 2)

Area = 15

area = length * width

15 = x(x -2)

15 = x² - 2x

x² - 2x - 15 = 0

(x² + 3x) - (5x - 15) = 0

x(x + 3) - 5(x + 15) = 0

x - 5 = 0 or x + 15 = 0

x =5 or x = -15

x = 5

Find the segment of the line segment

Answers

Answer:

(1,3)

Hope this helps! :)

The midpoint is (1,3)
The slope is 2/8, divide that by 2, 1/4. so to find the midpoint, go to the left point, move one up, 4 right. Or from the right point, move one down, 4 left.

If K(5,-2) is rotated 90°, what will be the coordinates of its image?
K (2,5)
K'(-2,-5)
K (2,-5)

Answers

Answer:

I think it is k(2,5) or k'(-2, -5

Step-by-step explanation:

Hope This Helps Have A Good Day

70% sure that it is K(2,5)

the answer is K'(-2,-5) if it is rotated 90 clockwise, but if it's anti-clockwise it will be K'(5,2)

find the hight of the tree to the nearest hundredth of a meter

Answers

Answer:

4.12m

Step-by-step explanation:

(distance of whole shadow - distance of Aisha from tree)

17.95-12.5=5.45m

17.95/5.45=3.29...(scale factor)

3.29...*1.25=4.12m(to the nearest hundredth)

If f(x) = -x2 + 6x- 1 and g(x) = 3x2- 4x-1, find (f - g)(x).

Answers

Answer:

[tex](f-g)(x)=-4x^2+10x[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=-x^2+6x-1\text{ and } g(x)=3x^2-4x-1[/tex]

And we want to find:

[tex](f-g)(x)[/tex]

This is equivalent to:

[tex]=f(x)-g(x)[/tex]

Substitute:

[tex]=(-x^2+6x-1)-(3x^2-4x-1)[/tex]

Distribute:

[tex]=-x^2+6x-1+(-3x^2+4x+1)[/tex]

Rearrange:

[tex]=(-x^2-3x^2)+(6x+4x)+(-1+1)[/tex]

Combine like terms. Hence:

[tex](f-g)(x)=-4x^2+10x[/tex]

ANSWER: (f-g) (x)= -4x2+10x

Candace complete a 3.1 mile run in 22 1/2 minutes. At that pace, what is her unit rate, in minutes per mile? Round your answer to the nearest tenth.

Answers

3.1 x 22 1/2 = 69.75 rounded is 70

On the first day of camp,
5/8 of the skaters were beginners. Of the beginners, 2/6 were girls. What fraction of the skaters were girls and beginners? Complete the explanation.

Answers

Answer:

5/24.

Step-by-step explanation:

2/6 of 5/8 were beginners and girls

= 1/3 * 5/8

= 5/24.

Ranking brainliest if correct :)) thanksss

Answers

Answer:

Y=40 X=75

Step-by-step explanation:

i think im not 100% on that, been a long time since i did stuff with triangles

Answer:

gdjksbdifkfnfuwiaksujdbf

10^7 is how many times as large as 3.10^3

Answers

Answer:

333831

Step-by-step explanation:

Answer:

10^7 is 10,000,000

3 x 10^3 is 3000

Therefore to find how many times 10^7 is as large as 3.10^3, divide 10,000,000 by 3000

& you’ll get 3333.3

Step-by-step explanation:

A plumber charges $30.00 per call plus $25.00 per hour. If a certain repair cost $80.00, how long does it take?

Answers

Answer:

2 hours

Step-by-step explanation:

Y=25x+30

80=25x+30

50=25x

2=x

add 4312base5 3444base5 qunary number please add qunary​

Answers

9514 1404 393

Answer:

  13311₅

Step-by-step explanation:

Each column gets the sum mod 5, with a carry to the next column of the quotient of the sum and 5. For example, in the units column, 2+4 = 11₅, so 1 is written in the units column as the sum, and 1 is carried to the 5s column (next one to the left).

Continuing in this fashion gives the sum 13311₅.

__

If you recognize that 3444₅ = 4000₅ -1, you can subtract 1 from 4312₅ and add 4 in the 5³ place (4th column from the right). That gives you ...

  4311₅ +4000₅ = 13311₅

_____

The base-5 addition table is attached.

Given line t passes through (0,-5) and (-1,3) and liner passes through (-4,3) and (4,2).
Are the lines parallel, perpendicular or neither? Show all work to justify your
response.

Answers

Answer:

neither

Step-by-step explanation:

Slope of the first line: (y2 -y1)/(x2-x1) = (3-(-5)/-1 = 8/-1 = -8

Slope of the second line: (2-3)/4-(-4) = -1/8

They are neither parallel nor perpendicular. In fact the two lines have different slope so they can’t be parallel. In addition the product of their slope is not -1, so they can’t be perpendicular,

Which statement describes why the system has two solutions?

Answers

The graph intersects on the x axis

There are 24 men in a room
¼ of the men are wearing red shirts
½ of the men are wearing green shirts
The remaining men are wearing blue shirts
Workout the number of men that are wearing blue shirts​

Answers

Answer:

6

Step-by-step explanation:

1/4= 6 men

1/2=12 men

therefore 24-12-6=6 men

Calcula el volumen. Largo: 50cm Largo: 35cm Largo: 40cm Ancho: 30cm Ancho: 20cm Ancho: 60cm Alto: 20cm Alto: 50cm Alto: 30cm Volumen: ___________ Volumen:______ Volumen:_______

Answers

Answer:

Volumen A = 30000 cm³

Volumen B = 35000 cm³

Volumen C = 72000 cm³

Step-by-step explanation:

a) Volumen A

Largo = 50 cm, Ancho = 30 cm Alto = 20 cm

Volumen = Largo × Ancho × Alto

= 50 cm × 30 cm × 20 cm

= 30000 cm³

b) Volumen B

Largo = 35 cm, Ancho = 20 cm Alto = 50 cm

Volumen = Largo × Ancho × Alto

= 35 cm × 20 cm × 50 cm

= 35000 cm³

c) Volumen C

Largo = 40 cm, Ancho = 60 cm Alto = 30 cm

Volumen = Largo × Ancho × Alto

= 40 cm × 60 cm × 30 cm

= 72000 cm³

In a survey of 2,700 people who owned a certain type of​ car, 954 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

35.333333333...%

Step-by-step explanation:

954/2700 = 35.33333333333333...%

You could use a calculator to solve these types of problems, but I'm not saying you should use one for every single problem.

Anyway, hope this helps.

Write the explicit formula for the sequence below and use it to find the 47th term:
-3, 5, 13, 21, . . .

Answers

Given:

The sequence is:

[tex]-3,5,13,21...[/tex]

To find:

The explicit formula for the given sequence then find the 47th term.

Solution:

We have,

[tex]-3,5,13,21...[/tex]

The difference between two consecutive terms are:

[tex]5-(-3)=8[/tex]

[tex]13-5=8[/tex]

[tex]21-13=8[/tex]

The given sequence has a common difference. So, the given sequence is an arithmetic sequence with first term -3 and common difference 8.

The explicit formula for an arithmetic sequence is:

[tex]a_n=a+(n-1)d[/tex]

Where, a is the first term and d is the common difference.

Putting [tex]a=-3[/tex] and [tex]d=8[/tex] in the above formula, we get

[tex]a_n=-3+(n-1)8[/tex]

[tex]a_n=-3+8n-8[/tex]

[tex]a_n=8n-11[/tex]

Putting [tex]n=47[/tex], we get

[tex]a_{47}=8(47)-11[/tex]

[tex]a_{47}=376-11[/tex]

[tex]a_{47}=365[/tex]

Therefore, the explicit formula for the given sequence is [tex]a_n=8n-11[/tex] and the 47th term is 365.

Which equation represents a line which is parallel to the line 7y-4x=-14

Answers

Answer:

sympathise or strategies

Please give me the answer and show me how you solved it

Answers

Answer:

11/2 miles per hour

Step-by-step explanation:

that is the procedure above

pls help math pls pls​

Answers

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

Evaluate 5(x-1)-2when x=3

Answers

Answer:

3

Step-by-step explanation:

5(x-1)-2

5(2-1)-2

5×1-2

5-2

3

Hope this helps you :)

please mark brainliest

5(x-1)-2
5(3-1)-2
5(2)-2
10-2
8

what are ascending number's​

Answers

Answer:

Ascending order

Step-by-step explanation:

Ascending numbers are numbers that begin from smallest to biggest.

[tex](5^{3})^{-3}[/tex] pls

Answers

[tex] \frac{1}{1953125} [/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]( { {5}^{3} })^{ - 3} \\ \\ which\:means \:that \: {5}^{3}\: is \:multiplied \:thrice\: with\: itself\\ \\ = {5}^{3 \times - 3} \\ \\ = {5}^{ - 9} \\ \\= \frac{1}{ {5}^{9} } \\ \\ = \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \\ \\ = \frac{1}{1953125} [/tex]

Note:-

[tex]( { {a}^{m} })^{n} = {a}^{m \times n} [/tex]

[tex]{a}^{ - m} = \frac{1}{ {a}^{m} }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

What is the common ratio for the sequence 1, 4, 16, 64,...?
1/4
1/2
2
4​

Answers

Answer:

4

Step-by-step explanation:

each term is 4 times the previous term

the common ration is 4

Answer:

r = 4

Step-by-step explanation:

The common ratio r of the geometric sequence is calculated as

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{4}{1}[/tex] = 4

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