Find three consecutive EVEN integers such that the sum of the smallest number and twice the middle number is 20 more than the largest number.

Answers

Answer 1

Answer:

             10, 12 and 14

Step-by-step explanation:

x  - an integer

2x    - an even integer (the first and the smaller of the three)

Consecutive integers increase always by 2

2x+2    - next even integer consecutive to 2x (the middle one)

2x+2+2=2x+4    - the last consecutive even integer (the largest)

2•(2x+2)     -  twice the middle number

2x+2•(2x+2)  - the sum of the smallest number and twice the middle one

2x+4+20     -  20 more than the largest number

2x+2•(2x+2) = 2x+4+20

2x + 4x + 4 = 2x + 24

         -2x         -2x

       4x + 4  = 24

         ÷2          ÷2

       2x + 2 = 12            ← the middle number

           -2        -2

        2x = 10                  ← the smallest number

2x+4 = 10 + 4 = 14

Check:  10+2•12=34;   14+20=34


Related Questions

PLEASE HELP, DUE SOON!!

Answers

Answer:

If your Simplifying the expression the answer would be 243b2

Answer:

angles 3 and 4 are a linear pair

Step-by-step explanation:

3 and 4 are a linear pair because the both make up 180 degrees together.

$2.99 for 20 shells

question:

Answers

$0.09/1 shell there you go

Answer:

$0.15 per shell

Step-by-step explanation:

$2.99/20 = 0.1495

Because we are dealing with money we round to the nearest cent whic is in the tens place

i need help on this one too​

Answers

Answer:

x equals 3

Step-by-step explanation:

hope this helps

HELP ME PLZ DUE SOON
Graph the line with the equation y=3/5x+2

Answers

Answer:

I hope this helps!


What is the slope of the line?

Answers

Answer: I believe it 8/5

HELP ME IM LOST :/


In the diagram, QRSTU is a regular pentagon and STVW is
a straight line. PQVW is a part of a regular polygon. Find
the number of sides of the regular polygon.​

Answers

Answer:

15 sides

Step-by-step explanation:

Recall the following about interior and exterior angles of polygons.

Interior angles of polygons:

The formula (n - 2)180 gives the sum of the measures of the interior angles of a polygon of n sides.

If we know the number of sides, we can find the sum of the measures of the angles.

Exterior angles of polygons:

The sum of the measures of the exterior angles of a polygon is 360. If the polygon is a regular polygon of n sides, then the measure of each exterior angle is 360/n.

This problem:

QRSTU is a regular pentagon.

The sum of the measures of the sides of a polygon of n sides is

(n - 2)180

For a pentagon, n = 5, so

(n - 2)180 = (5 - 2)180 = (3)180 = 540

The sum of the measures of the angles of pentagon QRSTU is 540.

Since it's a regular polygon, each angle measures 540/5 = 108.

Angles UQR, R, and S are interior angles of the pentagon, so each one measures 108 degrees.

Now look at polygon VQRS. It is a quadrilateral with sides VQ, QR, RS, and SV. The sum of the measures of the angles of a quadrilateral (4 sides; n = 4) is

(n - 2)180 = (4 - 2)180 = 2(180) = 360

m<VQU = 12 (given)

m<UQR = 108

m<VQR = m<VQU + m<UQR = 108 + 12 = 120

The angles of quadrilateral VQRS are <VQR, <R, <S ,and <TVQ. Their sum is 360.

<VQR + m<R + m<S + m<TVQ = 360

We now substitute the angle values we know and solve for m<TVQ.

120 + 108 + 108 + m<TVQ = 360

m<TVQ = 24

<TVQ is an exterior angle of the large polygon of which PQ, QV and VW are sides.

The sum of the measures of the exterior angles of a polygon, one per vertex, is 360. For a regular polygon, all exterior angles are congruent, and the measure of each exterior angle is the sum of the the measures of the exterior angles divided by the number of sides.

[tex] measure~of~an~exterior~angle = \dfrac{sum~of~the~measures~of~the~exterior~angles}{number~of~sides} [/tex]

[tex] a = \dfrac{360}{n} [/tex]

We know that the measure of an exterior angle is 24 deg.

[tex] 24 = \dfrac{360}{n} [/tex]

[tex] n = \dfrac{360}{24} [/tex]

[tex] n = 15 [/tex]

Answer: 15 sides

Answer:

15 sides

This was tough.

Help me pleasee thank you so much in advance

Answers

Equation-> 2x-3=x+12
x= 15

Bisector means it cuts it in half so angleABD and angleDBC are equal hence the equation of 2x-3= x+12

Add 3 both sides
2x=x+15
Subtract x both sides
X=15

whats the y intercept of a(n)=6(n-1)-5

Answers

The y-intercept is (0,-11)

okay due at noon today, I need help on 11 questions: were doing variables on both sides and learning on how to solve for x, no solutions and Infinite solutions. Also need to show work please.

problems:
1: -3-3=-4(2x+7)
2: 8x+3=8x+27
3: 2(x-4)=7-3x
4: 6(x-6)+4=-32+6x
5: -2x-40=8(1-x)
6: -9-8x=-2(7+4x)
7: 2x+8=2(x+4)
8: x-20=5(7x-4)
9: -4(8+7x=-10-6x
10: 28=+ 8x = 8(x+3) +2
11: -35-7x=-7(x=5)

Answers

Answer:

1: x = -2.75

2: No Solutions

3: x = 3

4: Infinite Solutions

5: x = 8

6: No Solutions

7: Infinite Solutions

8: No Solutions

9: x = -1

10: No Solutions

11: Infinite Solutions

Step-by-step explanation:

1)

[tex]-3-3= -4(2x+7)\\-6= -8x-28\\22= -8x\\x= -2.75[/tex]

2)

[tex]8x+3=8x+27\\0x+3=27\\0x=24\\x = No Solutions[/tex]

3)

[tex]8x+3=8x+27\\2x-8=7-3x\\5x-8=7\\5x=15\\x=3[/tex]

4)

[tex]6(x-6)+4= -32+6x\\6x-32= -32+6x\\0=0\\x = Infinite Solutions[/tex]

5)

[tex]-2x-40=8(1-x)\\-2x-40=8-8x\\6x-40=8\\6x=48\\x=8[/tex]

6)

[tex]-9-8x=-2(7+4x)\\-9-8x=-14-8x\\-8x=-5-28x\\x= No Solutions[/tex]

7)

[tex]2x+8=2(x+4)\\2x+8=2x+8\\0=0\\x = Infinite Solutions[/tex]

8)

[tex]x-20=5(7x-4)\\x-20=35x-20\\-34x=0\\x = No Solutions[/tex]

9)

[tex]-4(8+7x)=-10-6x\\-32-28x=-10-6x\\-22x=22\\x = -1[/tex]

10)

[tex]28+8x = 8(x+3) +2\\28+8x=8x+26\\0=-2\\x = No Solutions[/tex]

11)

[tex]-35-7x=-7(x+5)\\-35-7x=-7x-35\\0=0\\x = Infinite Solutions[/tex]

What is 60 tens in standard form answers are 60,000 69 600 6,000

Answers

Answer:

I think it's 696,000

Explanation:

I can't be sure but is this a troll question... if so that great. :D

Please mark brainliest UwU

WILL MARK BRAINLIEST. Find my mistake and explain how you would fix it. I’ve included step numbers so you can describe where the step is in the solution path.

Answers

The mistake is instead of adding 7 to both sides to eliminate it they subtracted 7 and here is the right way to do it, I hope this helps

Please help!!!!! Look at the attachment

Answers

Answer:

x=-6

Step-by-step explanation:

Answer: x= -6

Step-by-step explanation:

You combine the 2 expressions

8x+8=5x-10

move the smallest variable

3x+8=-10

and do what you would normally do

3x=-18

/3

x=-6

Which type of discontinuity exists at x=0?​

Answers

Answer:

removable

Step-by-step explanation:

f(x) = cos(1/x^2) at x = 0;

For the function f(x) = cos(1/x^2) let's substitute the value of 0 in for x...

= cos(1/(0)^2)

= cos(1/0)

Now remember that x/0 is undefined. Removable discontinuity is undefined at the point x₀, and hence our solution is "removable."

Could anyone prove this question correct... pls... I will mark branliest for step by step solution.

Answers

Answer:

C

Step-by-step explanation:

the answer is 15. hope this helps

HELP ASAP PLEASE 10 POINTS

Answers

put the not shaded circle on 4 and point it towards the left


Pls helpppppppppppppppppp

Answers

Answer: 75

Step-by-step explanation:

Multiple all those numbers together and then divide by 3

Answer:

75

Step-by-step explanation:

V=lwh/3 which =5·7.5·6/3 and that equals 225/3 which results in 75

What does convert the measurement mean?

Answers

Answer:

Conversion: a change in the form of a measurement, different units, without a change in the size or amount.

for a further explanation please give us more information about the question

PLEASE HURRY XX

Find a equation that matches the graph.

Answers

Answer:

x ≥ 3

Step-by-step explanation:

The closed dot represents ≥ and ≤

The dot is located on the number "3"

The closed dot essentially shows that the solution is nothing more than 3 and up.

Let "x" be the variable we use.

x ≥ 3

Best of Luck!

The above never line shows the possible values of an variable in any expression.

Through Observation:

The arrow pointing from 3 to infinity.3 is represented by a closed dot.The value is starting from 3 to infinity.

Hence, the required value of the variable can be equal to 3 or greater than 3 for that expression. This can be written as:

[tex] \large{ \boxed{ \rm{ x\geqslant 3}}}[/tex]

Carry On learning !

Find the sum
please this is urgent ​

Answers

Answer:

the sum of this equation would equal 23875

Sam is flying from Columbus, Ohio to Kralendijk, Bonaire, a distance of 2,488 miles. First, he flies 995 miles to Miami, Florida. He then flies from Miami to San Juan, Puerto Rico, a distance of 1,033 miles. How many miles will he travel flying from Columbus to San Juan? How many more miles does he have to fly to Kralendijk?

Answers

Answer:

460 miles

Step-by-step explanation:

Given

Total = 2488 miles

Miami = 995 miles

San Juan = 1033 miles

Required

Determine the remaining distance

Assuming the points are on a straight path.

The remaining distance is:

Remainder = Total - Miami - San Juan

Remainder = 2488 - 995 - 1033

Remainder = 460 miles

Angles 3 and 5 are what type of angle pair?

Answers

Answer:

interior opposite angles

Step-by-step explanation:

they are inside of the shape but on opposite sides (and i did this freshman year)

Answer:

alternate interior angles

Step-by-step explanation:

∠ 3 and ∠ 5 are alternate interior angles.

These angles are on the opposite ( alternate ) sides of the transversal and are in between ( in the interior ) of the parallel lines.


Which of these represents the final step to a no solution problem?

1=1
x=2
x=x
2=3

Answers

x=x because you don’t know what x stands for.

Answer:

I'm probably incorrect, but I think it's the 3rd one

What is 3.09+ 4.88=?

Answers

Answer:

7.97

Step-by-step explanation:

hope this helps

The answer would be 7.97

Kennedi paid $288 for 4 nights at a hotel.

Answers

Answer:

$72 per night

Step-by-step explanation:

288/4

Kennedi paid 72 dollars a night :)

3. The Green family is going on vacation. They rent a car that costs $139 for the week plus
plus $0.20 per mile. If the total bill is $168, how many miles did they drive?
PLEASE HELPP!!!

Answers

Answer:

168 divided by 0.20 is 840 Equalling the mileage.

Answer:

145 miles

Step-by-step explanation:

168 = .20m + 139

-139             - 139

29 = .2m

/.2     /.2

145 = m

The graph of y = 4 – StartRoot 2 x EndRoot is shown.

On a coordinate plane, a curved line approaches the grid line at (3, 1.5) and ends at (0, 4).

Which statement about the graph is accurate?

The x-intercept of the graph is (4, 0).
The graph has no y-intercepts.
The maximum of the graph occurs at the y-intercept.
The minimum of the graph occurs at the x-intercept.

Answers

Answer:

A

Step-by-step explanation:

Answer:

C (third option) The maximum of the graph occurs at the y-intercept.

Step-by-step explanation:

We will use the process of elimination

It’s not option 1 because if you graph it using the graphing calculator you can see that the x intercept is 8,0 not 4,0

It’s not option 2 because you can see the y intercept is at 0,4 which means there is a y intercept

It’s not option 4 because the graph continues down even after the x intercept

Which leaves us with option 3

Hope this helps :)

A = πab/4 solve for b

Answers

Answer:

4A/ (πa)  = b

Step-by-step explanation:

A = πab/4

Multiply each side by 4

4A = 4πab/4

4A = πab

Divide each side by πa

4A/(πa)  = πab/ πa

4A/ (πa)  = b

A student finished a 30 question test in 75 minutes. Which rate best represents the relationship between the number of minutes spent on test questions and the number of questions?

F. 0.4 minutes per question
G. 2.5 questions per minute
H. 30 questions per minute
J. 2.5 minutes per question

Answers

Answer:

2.5 minutes per quesiton

Step-by-step explanation:

75 minutes to take 30 quesitons means you divide the time equally so

75/30

2.5 per minute G:):):)

3x +y = 9.x, solve for x​

Answers

Answer:

3-y=x

Step-by-step explanation:

10
MILEAGE OF PETER'S CAR
160
140
Miles Traveled
8 8 8 8 8 8 8 8
60
1 2 3 4 5 6 7 8 9 10
Gallons of Gas
The graph shows the number of miles Peter's car traveled and the gallons of gas used.
Which equation can be used to find the distance in miles, d, that the car can travel on g
gallons of gas? *
(5 Points)
d = 169
d = 309
d=249
d=129

Answers

Answer:

[tex] d = 24g [/tex]

Step-by-step explanation:

The graph shows a proportional relationship between distance travelled in miles and the gallons of gas used. Thus, a simple equation can be written to represent this relationship by simply applying the the equation that describes a proportional relationship.

Equation representing a typical proportional relationship is y = kx, where k is the constant of proportionality.

In this case,

y = distance in miles travelled represented by d

x = gallons of gas used represented by g

k = constant of proportionality which is distance travelled per gallon = [tex] \frac{d}{g} = \frac{120}{5} = 24 [/tex]. (note: to get k, you can use any coordinate pair of a point in the line graph).

Therefore, an equation that can be used to find the distance travelled is:

[tex] d = 24g [/tex]

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