Find three consecutive even integers such that the sum of the first and third increased by 18 is equal to three times the second.​

Answers

Answer 1

Answer:

           16, 18 and 20

Step-by-step explanation:

x - an integer

2x - an even integer (the first)

Even integers increase by 1 so:

2x+2   - next consecutive integer (the second)

3(2x+2) - three times the second

2x+4  - the third consecutive integer

2x+2x+4 -  the sum of the first and third

2x+2x+4+18 -  the sum of the first and third increased by 18

2x+2x+4+18 = 3(2x+2)  

4x + 22 = 6x + 6

      -6        -6

4x + 16  = 6x

     -4x      -4x

       16 = 2x

2x = 16

2x+2 = 18  

2x+4 = 20

Check:  16+20+18=54;   3×18=54


Related Questions

what value of x makes the equation true 2( x + 10) =4( 2x - 1)

Answers

Answer:

6

Step-by-step explanation:

Step-by-step explanation:

Answer:-

[tex]\bf{2( x + 10) =4( 2x - 1)}[/tex]

We need the value of x. So, we will break the brackets first.

[tex]\bf{2( x + 10) =4( 2x - 1)}[/tex]

[tex]\bf{2x + 20 = 8x - 4}[/tex] [ Distributive Property]

[tex]\bf{2x -8x = -20 - 4}[/tex] [ Brought x to one side and signs interchange]

[tex]\bf{-6x = -24}[/tex]

[tex]\bf{x = \dfrac{24}{6}}[/tex]

[tex]\bf{x = 4}[/tex]

Hope it helps :)

Write a linear function f with the values f(-6) = 10 and f(2) = 10

Answers

Its 5 your welcome—-

what is the answer in 4x2 + 32xy?

Answers

Answer:

The answer is 8⋅(4xy+1)

Marcus collect donations and says care packages to troops overseas he has 36 bars of soap and 24 toothbrushes arrange the items so the packages are identical what is the greatest number of packages that Marcus can make using all the soap and toothbrushes?

Answers

I think the answer is 24 but not sure

Answer: I am sure is 12 package

What is the percentage of males given that they prefer butter pecan?

Answers

Answer:

67 percent wouldnt it?

At Sascha's Salad Bar, customers make their own salads and pay by the ounce. Jenny paid $6.16 for a 22-ounce salad. How much would a 16-ounce salad cost?

Answers

Answer:

I think it is 4.48.

Explain:

6.16/22 is 0.28    Then 0.28 times 16 is 4.48.

Can I get a Brainliest?

On a map, 1/2 inch represents 10 actual miles. Two towns that are 4 1/2 inches apart on this map are how many actual miles apart?
A.20
B.40
C.10
D.45
E.90​

Answers

The answer is E.90

1/2 inches = 10 miles
9(1/2) inches = 4 1/2 inches
9(10) miles = 90 miles

You have decided to start your own business selling friendship bracelets. It will
cost $36 to get all of the supplies and you will sell each bracelet for $3. Write an
equation that represents your profit.

Answers

I think it would be 3x>36

Answer: 12 people

Step-by-step explanation:

$36 as a start for suplies it will cost you so 3/36 is 12 so it will take 12 people to get our profit back

107 +9+13=
Please help

Answers

answer: the answer is 129

-5a + 15/2a - 25 = 53.2 + 21.8​

Answers

Answer:

a= 40

Step-by-step explanation:

-5a + 7.5a - 25 = 53.2 + 21.8​

add like terms on both sides: 2.5a - 25 = 75

add 25 on both sides: 2.5a = 100

divide both sides by 2.5: a = 40

Answer:

a = 40

Step-by-step explanation:

-5a + 15/2a - 25 = 53.2 + 21.8​: Add 25 to Isolate variable

-5a + 15/2a = 53.2 + 21.8 + 25: Combine Like Terms and create simmilar terms

-10/2a + 15/2a = 100: CLM again

5/2a = 100: multiply both sides by inverse of 5/2 to isolate variable

a = 40

-Answer Quickly-

Find the equation of the line.

Use exact numbers.

Answers

Answer:

y=3x+3  

Step-by-step explanation:

i think if not im so sorry

Y=3x+3, because I’m going off of y=Mx+b and b is always the y-intercept if this is wrong I’m sorry...

Can you change a number in base 2 to a decimal because I don't think it is possible. ​

Answers

Answer:

If you divide it by a number that cannot be divided, it will be a decimal number

PLS HELP ME! i'm so slow -.-

Answers

Answer:

128

Step-by-step explanation:

it is a reflection and goes to the other side

The figures in the pair are similar. Find the missing length.

Answers

Answer:

c. 9 cm

Step-by-step explanation:

4*1.5=6

6*1.5=9

y=9

.806 divided by 1.3 I need the stepsssss​

Answers

Answer

.62

Step-by-step explanation:

im sorry i cannot provide the steps but using a calculator you can conclude .62

Answer:

0.806 ÷ 1.3

=  

806

1000

÷  

13

10

=  

806

1000

×  

10

13

=  

806 × 10

1000 × 13

=  

8060

13000

=  

8060 ÷ 260

13000 ÷ 260

=  

31

50

Plz hurry and help it’s not a texts it’s a study guide.

Answers

Answer:

I do not know the answer but I think it is (1,0) x (-3,4)

Step-by-step explanation:

Answer:

y = -2x -2

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

The width of a rectangle is 2x + 10 feet and the length is 12x - 4 feet. Find the perimeter of the rectangle.

Answers

Step-by-step explanation:

p=2(l+w)

p=2(12x-4+2x+10)

p=2(14x+6)

p=28x+12

Geometry. Unit 1. Lesson 5. (5.2: Make it Right) Use GeoGebra

Answers

Answer:nnjjj

Step-by-step explanation:

What are the coordinate of the vertices of A’B’C after each movement

Answers

Do you have a picture or sum?

Spiral Review What single transformation is represented by the expression
P(x, y) → P' (-2, -y)?
Hint
O reflection of across the y-axis
reflection of across the x-axis
o rotation of 90° about the origin.
o rotation of 180° about the origin

Answers

Answer:

about 180 degrees

Step-by-step explanation:

In the equation shown, what is the value of n? 9^7/9^n=9^2

Answers

Answer:

MMMMMMMM

Step-by-step explanation:

What is 15.60 to 11.70?

Answers

Answer:

the answer is 133.33

Step-by-step explanation:

hope this helps

what is the volume of the rectangular prism? ​

Answers

Answer:

15

Step-by-step explanation:

i did maths

Simplify
-(6x – 12) - (-20) – 7x
Please help me thanks

Answers

Answer:

−(6x−12)−(−20)−7x

Distribute:

=−6x+12+20+−7x

Combine Like Terms:

=−6x+12+20+−7x

=(−6x+−7x)+(12+20)

=−13x+32

Answer:

=−13x+32

Determine which ordered pair is a solution of y= x+2/5

Wouldn’t it be (0, 2/5)?

Answers

Answer:

(-1,2/5) i'm pretty sure

Step-by-step explanation:

Answer:

(2, 2 2/5)

Step-by-step explanation:

(0, 2/5) is correct, and since the slope is 1, adding any number to both the x and the y would still make it a solution.

In this case, you could add 2 to both x and y, resulting in (2, 2 2/5).

Hope it helped, and if it did, could you consider giving me brainliest? :)

What is the equation of a line parallel to -5x + y= 2 that passes through the point with coordinates (-2,1)?

Answers

Answer:

y=5x+11

Step-by-step explanation:

You can solve this with the point-slope formula: y-y1=m(x-x1). The line is parallel; both slopes are equivalent.

First we have to rewrite the original equation, which is rewritten into y=5x+2 by subtracting -5x on both sides.

Next, plug in the coordinates we have into the point-slope formula (-2, 1), along with the slope from the original equation (5). To check, we can plug the coordinates back into the equation.

y-(1)=5(x+2)

y-1=5x+10

y=5x+11

Check:

(1)=5(-2)+11

1=-10+11

1=1

Jon has a $21.61 balance on a gift card that can be used to purchase online music. Each song download costs $1.29. Jon wants to maintain a $10 balance to purchase a new album that releases next month. How many songs can Jon purchase?

Answers

Answer: Jon can purchase 9 songs.

Step-by-step explanation: $21.61 - $10.00 = $11.61

$1.29 · 9 = $11.61

Can someone help me with this graph? I don't understand how to solve it

Answers

X+y=-5

-x -x

y=-x-5 is the ending equation.

How to graph:

The y-intercept, or point where the graph starts, is -5

From there go down 1, right 1.

M=-x

B=-5

Answer:  m = -1   b = -5

Step-by-step explanation:

Rewrite the equation in "slope-intercept form"   y = mx +b .

m is the slope  

b is the y-intercept, where the graph of the line crosses the y-axis

To rewrite the equation, to get "y" alone on the left side, subtract x from both sides:

x + y = -5

-x + x + y = -x - 5  (left side -x +x =0 so "cancel")

y = -x -5

You get  the slope "m" from the coefficient of x, (invisible 1, sometimes)

since there is a negative sign, the coefficient is -1   That is m, the slope.

A negative slope goes down from left to right.

For  -1, down one over 1 square.

Your graph should look like the screenshot below.

I hope this helps you understand better!

Which equation shows y= 3/4x - 5/2 in standard form?
A 3x – 4y = –10
B 4x – 3y = -10
C 4x – 3y = 10
D 3x -- 4y = 10

Answers

Answer:

the answer is D

can you also please mark me as brainliest?

Which lines are perpendicular to the line y – 1 = 1/3 (x+2)? Check all that apply.

y + 2 = –3(x – 4)
y − 5 = 3(x + 11)
y = -3x – 5/3
y = 1/3 x – 2
3x + y = 7

Answers

Answer: A. y + 2 = -3(x - 4).

C. y = -3x - 5/3 and E. 3x + y = 7

Step-by-step explanation:

got it correct on edge2020

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