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

A half-marathon is 13.1 miles long. There is a water station every 1 1/3 miles along the race trail and at the finish line. How many water stations are needed for the half-marathon?
choices
15
13
10
11

Answers

Answer:

10 water stations are needed

Step-by-step explanation:

To get the number of water- station needed, we simply divide the total length of the half marathon by the distance where we can find a water station

mathematically,

that would be 13.1 divided by 1 1/3

= 13.1 divided by 4/3

= 13.1 * 3/4 = 9.825 which is approximately 10

Match the following to the correct solution

Answers

Answer:

a/c/z

Step-by-step explanation:

What is the value of x?

Answers

Answer:

x=7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

The value of x is 7
X=7

please answer for brainliest

Answers

Answer:

B

Step-by-step explanation:

abs value of -9 is still 9, so it should be "="

help plz i need help

Answers

Answer:

I think the answer is D

Step-by-step explanation:

Instincts

What is the slip of the line that passes through (-7,6) and (5,9)

Answers

Answer:

Slope is 1/4

Step-by-step explanation:

Slope=Rise/Run=(y2-y1)/(x2-x1)=(9-6)/(5-(-7))=3/12=1/4

Jenny’s backyard it cost $76.00 per square yard to build the deck is 9 yards wide and 11 yards long how much did it cost to build the deck

Answers

Answer:

Jennys backyard cost 7524 doll hairs.

Step-by-step explanation:

11x9=99

76x99=7524

hope this helps!!

Find the slope and write an equation of the line which passes through the points. (−3, 9) and (−3, −5)

Answers

Answer:

Slope: undefined

Equation: x=-3

Step-by-step explanation:

To find the line that passes through the points, you first want to find the slope.  The formula for slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Once we have the slope, we can use any given point to plug in to find the y-intercept.

[tex]m=\frac{-5-9}{-3-(-3)} =\frac{-14}{0}[/tex]

We can see that the slope is undefined. If we look at the point, we notice that they both have the same x-coordinate. This let's us know that the equation is x=-3.

V(t)=875-50t
Find the value of V(4)?
A) 875
B) 675
825
D 200
PARTB
What is the value oft when V(t)=525

Answers

use socratic instead of this

The circumference of a circular garden is 75.36 feet. What is the radius of the garden

Answers

Answer:

12 rounded to a whole number.

Step-by-step explanation:

75.36 divided by pi (3.14159) = 23.987. this is diameter (the length from one side of a circle to the other).

but we need to find the radius. the radius is half way across a circle.

23.987 divided by 2 = 11.993.

round this to a significant whole number and you get 12.

The radius of the garden is,

⇒ r = 12

We have to given that;

The circumference of a circular garden is,

⇒ C =  75.36 feet.

Since, We know that;

The circumference of a circle is,

⇒ C = 2πr

Substitute given values,

⇒ 75.36 = 2 × 3.14 × r

⇒ 75.36 = 6.28 r

⇒ r = 12

Thus,  the radius of the garden is,

⇒ r = 12

Learn more about the circle visit:

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A mall is designing an outdoor space. The available space is 127 feet by 46 feet. The
plan is for a grassy section with a width of 40 feet. Next to the grass will be a cement
sidewalk with a width of 6 feet. What is the area of the available space in square feet?

Answers

Answer:

5882

Step-by-step explanation:

Answer:

5842

Step-by-step explanation:

The grass and sidewalk is extraneous information (not needed) since it only asks for the available space total. so 127 x 46

solve the systems of equations
y=x²-6
y=-2x+9

Answers

Answer:

(x1 , y1) = (-5 , 19)(x2 , y2) = (3 , 3)

Why do we combine like terms?

A . To give you more work
B. To make expressions shorter by simplifying
C. No reason
D. Because Ms. Sax likes making us suffer

Answers

I think its B, because its easier to find answers if you have less.

Answer:

B it makes more sense

how many quarters make 40 dollars


can you work it out with quarters
help me please help me please help me please​

Answers

Given problem;

  Number of quarters in $40;

   

To solve this problem;

Convert the dollar value to cents;  

                 100cents  = $1

               In $40, we would have;  40 x 100 = 4000cents

1 quarter = 25 cents

   So, divide 4000cents by 25 to obtain the number of quarters in that amount of dollars;

      Number of quarters = [tex]\frac{4000}{25}[/tex]   = 160

So there are 160 quarters in $40

3,500x(1+.0125/2)^(2x2)=

Answers

3588.3 thats the answer

What is the inverse of the function

Answers

I typed the wrong answer and I cant delete so dont do it at all

Write the sentence as an absolute value inequality, then solve the inequality.
Half of a number n is at most 5 units from 14.

Answers

18≤n≤38 is absolute value inequality for the problem






As an estimation we are told £3 is €4.
Convert £9 to euros.

Answers

Answer:

12

Step-by-step explanation:

EZ!

Question is in the picture

You will get 15 points and I will mark you brainliest

I Need an answer asap

Answers

Answer:

2=24

12=144

Step-by-step explanation:

Answer:

2 is 24 and 12 is 144

Step-by-step explanation:

5x12 is 60, so you know its gonna be x's 12 from then on out

Solve equation
t + (-8) + 13 = 43

Answers

Answer:

T=38

Step-by-step explanation:

t−8+13=43

Step 1: Simplify both sides of the equation.

t−8+13=43

t+−8+13=43

(t)+(−8+13)=43(Combine Like Terms)

t+5=43

t+5=43

Step 2: Subtract 5 from both sides.

t+5−5=43−5

t=38

Answer:

t= 38

Step-by-step explanation:

t+(-8)+13=43

t-8+13=43

t=43-13+8

t=30+8

t=38

Write -0.89 as a fractions.

Answers

Answer:

It would be -89/100

That is the lowest form and can not be reduced

Answer:

- 89/100

Step-by-step explanation:

You can't simplify it, so it'd remain over 100 !

Find the slope of the line: y = -5x - 1
A
m = -5/1
B
m = -1/5

Answers

Answer:

Slope: -5/1

Step-by-step explanation:

The slope is always the coefficient of x in y=mx+b, so m is -5 (you don't reverse it)

Answer: A) m = -5/1

Step-by-step explanation: The format of slope intercept form is y=mx+b , therefore M= -5/1.

is the following relation a function?
Х Y
-1 -2
2 3
3 1
6 -2

0 Yes
O No​

Answers

Answer:

yes

Step-by-step explanation:

each x-value has only one y-value

I’ve tried but I don’t know what it is please help

Answers

Answer: x=11

Step-by-step explanation:

I got this by 126-49=77. Then I divided 77 by 7 and got 11.

A is directly proportional to the square root of B
When A = 50, B+4 . Find A in terms of B ​

Answers

Answer:

A=50, B=4

A is directly proportional to the square root of B

name the constant 'k'

A = k*B^0.5

50 = k*4^0.5

50=2k

k=25

=> A =25 root B

i.e, A = 25*B^0.5 (The answer should be written the way it is written in the attached picture)

A written in terms of B is 25√B.

What is direct and inverse proportion ?

In direct proportion if one quantity increases the other quantity also increases and vice versa.In case of inverse proportion when one quantity increases the other quantity decreases and vice versa.

According to the given question A is directly proportional to the square root of B.

∴ A = K[tex]\sqrt{B}[/tex]

Given when A = 50 B = 4.

50 = K[tex]\sqrt{4}[/tex]

50 = 2k

k = 25.

So, A =25√B.

learn more about proportion here :

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The point G (-6, 4) is translated 2 units left.
What are the coordinates of the resulting point G'?
A (-8,4)
B) (-6,2
C (-4,4)
(-8,6)

Answers

Answer:

A

Step-by-step explanation:

By translating 2 units left, it means the x-axis value is made more negative by 2 units

So we are going to subtract two from the x-coordinate

So we have;

(-6-2,4)

= (-8,4)

please please help me with this question, this is the third time i’ve asked this question and no one has answered :(

Answers

Angle 3 is supplementary to the 95 degree angle, so 180 - 95 = 85.
Angle 3 = 85 degrees

Angle 2 is a vertical angle with Angle 3, so Angle 2 = Angle 3 —> 85=85
Angle 2 = 85 degrees

Angle 1 + 73 degrees is a vertical angle with 95 degrees, so Angle 1 + 73 = 95
Angle 1 = 95 - 73
Angle 1 = 22 degrees

ALSO

Angle 2 + 73 degrees + Angle 1 = 180 degrees
85 + 73 + Angle 1 = 180 degrees
158 + Angle 1 = 180 degrees
Angle 1 = 180-158
Angle 1 = 22 degrees

A triangle has a base of 10 inches and a height of 8 inches. What percent of the area of the triangle is within 4 inches of the base?

Answers

Answer:

40%

Step-by-step explanation:

Firstly

Area of triangle when base is 10 inches and height is 8 inches

= 1/2*b*h

= 1/2*10*8

=40square inch

Again when base =4 inches

= 1/2*4*8

= 16square inches

percent of the area of the triangle is within 4 inches of the base

= 16/40*100%

= 40%

A triangle has an 8-inch height and a 10-inch base. The percent of the area of the triangle is within 4 inches of the base exists 40%.

What is meant by the area of triangle?

Area of triangle = 1/2 (b h), where b is the base and h is the height, is the fundamental formula for calculating a triangle's area.

The type of the triangle and the known dimensions can affect other formulas that are used to calculate the area of a triangle.

Given: A triangle has an 8-inch height and a 10-inch base.

Let the equation be

Area of a triangle = (1/2) bh

substitute the values in the above equation, we get

= (1/2) × 8 × 10

= 40 square inches.

Once more with a 4 inch base

= 1/2 × 4 × 8

= 16 square inches.

Within 4 inches of the base, % of the triangle's surface area

= 16/40 × 100%

= 40%

Therefore, the percent of the area of the triangle is within 4 inches of the base exists 40%.

To learn more about area of triangle refer to:

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due in 30 mins help plz and thx

Answers

Answer:

1,854

Step-by-step explanation:

103 = width

18 = length

103*18

Answer:

1854 roses

Step-by-step explanation:

103 x 18  = 1854

Need help quick please need it really bad

Answers

[tex]7x + 3 = 4x + 15[/tex]

Both sides minus 3

[tex]7x = 4x + 15 - 3[/tex]

[tex]7x = 4x + 12[/tex]

Both sides minus 4x

[tex]7x - 4x = 12[/tex]

[tex]3x = 12[/tex]

Divided both sides by 3

[tex]x = \frac{12}{3} \\ [/tex]

[tex]x = 4[/tex]

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