The sum of three consecutive even numbers is 144. Find the highest even number.( Take the lowest even number as 4x-2)​

Answers

Answer 1

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Given :-

The sum of 3 consecutive even number is 144The lowest even number as 4x - 2

To Find :-

We have to find the highest consecutive number.

Let's Begin :-

Here ,we have

The sum of three consecutive even numbers is 144[ Consecutive even numbers are the sequence of numbers that differ by 2 or that are divisible by 2 ]The lowest even number is 4x - 2

Let the three consecutive number be

(4x - 2) , 4x , ( 4x + 2)

According to the question,

[tex]\sf{ (4x - 2) + 4x + ( 4x + 2) = 144}[/tex]

[tex]\sf{ 4x - 2 + 4x + 4x + 2 = 144}[/tex]

[tex]\sf{ 8x - 2 + 4x + 2 = 144}[/tex]

[tex]\sf{ 12x = 144}[/tex]

[tex]\sf{ x = }{\sf{\dfrac{ 144}{12}}}[/tex]

[tex]\sf{ x = }{\sf{\cancel{\dfrac{ 144}{12}}}}[/tex]

[tex]\sf{ x = 12 }[/tex]

Thus, The value of x is 12

Therefore,

The three consecutive even numbers are

[tex]\sf{ 4x - 2 = 48 - 2 = 46 }[/tex][tex]\sf{ 4x = 48 }[/tex][tex]\sf{ 4x + 2 = 48 + 2 = 50 }[/tex]

Hence, The highest consecutive even number is 50 .


Related Questions

Miguel spent $11 to buy 16 apples and oranges. How many of each type of fruit did he buy F apples cost $0. 75 and oranges cost $0. 65

Answers

Answer:

Step-by-step explanation:

x + y = 16

.75x + .65y = 11

75x + 65y = 1100

-75x - 75y = -1200

-10y = -100

y= 10 organes

x + 10 = 16

x = 6 apples

x= 6 apples

y = 10 oranges

There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is
7
8
.
There are 56 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.

Answers

Step-by-step explanation:

Multiply 56 by 7/8 to determine the amount of red marbles.

*56 can be put over 1.

Multiply;

[tex] \frac{56}{1} \times \frac{7}{8} = \frac{392}{8} [/tex]

Simplify by dividing by 8;

[tex] \frac{392 \div 8}{8 \div 8} = \frac{49}{1} [/tex]

There are 49 red marbles.

Name the quadrilateral whose diagonals are perpendicular bisectors of each other

Answers

Rhombus or square.

Hope it helps!

A high school is having a talent contest and will give different prizes for the best 5 acts in the show. First place wins the most money, and each place after that wins $50 less than the previous place. Part A Create a model that can be used to determine the total amount of prize money based on the value of the first place prize Enter your model in the box provided. ​

Answers

The model that can be used to determine the total amount of prize money based on the value of the first place prize is as follows;

Total amount of price money = 5x - 500

The prices are given to the best 5 acts. The first place wins the most money and each place after that wins $50 less than the previous place. The pattern follows a sequence.

What is a Sequence?

Sequence  is a list of things (usually numbers) that are in order. Therefore,

let

the first price = x

The common difference of the sequence would be - 50.

To create a model that can be used to determine the total amount of prize money based on the value of the first place prize can be done as follows;

x , x - 50, x - 100, x - 150, x - 200

Therefore,

Total amount of price money = x + x - 50 + x - 100 + x - 150 +  x - 200

Total amount of price money = 5x - 500

learn more on model here: https://brainly.com/question/2400667

Type SSS, SAS, ASA, SAA, or HL to
justify why the two larger triangles are congruent.

Answers

Answer: ASA

Step-by-step explanation:

In addition to the given information, angle C is congruent to itself by the reflexive property, making ASA congruence.


Recognize functions from graphs
11
Does the graph represent a function?

Answers

Answer:

yes

Step-by-step

School X and School Y play eachother in a competiton.

School X has eight more points than School Y
School X has three times as many points than School Y

How many points does each school have?

Answers

Answer:

school x = 12

school y = 4

Step-by-step explanation:

School X has eight more points than School Y.

School X has three times as many points as School Y .

Writing these statements in terms of equation 

x = y + 8  

 x = 3 y

Substituting the value of x in y, we get

3 y = y + 8

Taking variable on left side of equation

3 y – y = 8 (subtract y from both sides)

2 y= 8 (divid 2 from both sides)

y = 4

then plug in y to the first equation

x= y + 8

x= 4 + 8

x= 12

What is the answer to 1/3 divided by 2 is in fractions

Answers

Answ1/6

Step-by-step explanation:

1/3 divided by 2

we can change the division sign into multiplication by flipping it and this will also inverse 2

so now we will have

1/3 x 1/2

=1/6

What is the radius of the circle x2+y2–81=0?

Answers

The Answer is 9
The radius is 9

Find the value of X for the given parallelogram

Answers

Opposite angles in a parallelogram are congruent

So,


6x-10 = 2x + 50

Now solve like a normal equation

4x = 60
x = 15

Answer:

15

[tex] \: [/tex]

Step-by-step explanation:

Parallelogram is a quadrilateral whose both pairs of opposite sides are parallel and equal and opposite angles are also equal.

[tex] \: [/tex]

So,

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { \angle P = \angle R}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { 6x - 10 = 2x + 50}}}} \: \: \\ \\[/tex]

Subtracting 2x from both sides we get :

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { 6x - 10 - 2x = 2x + 50 - 2x}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { 4x - 10 = 50 }}}} \: \: \\ \\[/tex]

Adding 10 to both sides we get :

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { 4x - 10 + 10 = 50 + 10 }}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { 4x = 60 }}}} \: \: \\ \\[/tex]

Dividing 4 from both sides we get :

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { \frac{4x}{4} = \frac{60}{4} }}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \frak { x = 15 }}}} \: \: \\ \\[/tex]

Therefore,

The value of x is 15

the set of integers is closed numbers the operation division​

Answers

Answer:

The integers are closed under addition, multiplication and subtraction, but NOT under division

Step-by-step explanation:

9 ÷ 2 = 4½

If an island's only residents are penguins and bears, and if there are 22 heads
and 52 feet on the island, how many penguins and how many bears are on the
island?

Answers

Answer:

27 penguins and 43 bears

i hope thats right lol

Step-by-step explanation:

What is the area of this triangle?
6 cm
11 cm

Answers

Answer: 33

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Area of a triangle = [tex]\frac{bh}{2} \\[/tex] (base × height ÷ 2)

A = 6 · 11
       2

A = 66
      2

A = 33

Determine if the two triangles are necessarily congruent. If so, fill in a flowchart proof
to prove that they are.
L
The triangles
necessarily congruent.

Answers

Answer:

Step-by-step explanation:

solve for x and y.
A.
B.
C.
D.

Answers

Step-by-step explanation:

the height from the 90° angle (which is y here) in a right-angled triangle is the square root of the Sergent lengths of the Hypotenuse.

y = sqrt(3×9) = 3×sqrt(3)

and x we get via Pythagoras :

x² = y² + 9² = 27 + 81 = 108

x = sqrt(108) = sqrt(36×3) = 6×sqrt(3)

so, A is correct.

Find the measure of ZC. Write your answer as a decimal

Answers

angle c measures 107.5°

16 of 18
!!!
Write a numerical expression to represent the phrase "the sum of 25 and the cube of 9." Do not evaluate the expression.
st answer in the box

Answers

25+9^3
there is no need to solve for this value since it says to not evaluate


AABC = AEDC, AB = 7, mZA = 40°

mZE = [ ? ]'.

Answers

Answer:

40

Step-by-step explanation:

since they are Similar

m∠E = m∠A =40°

Which situation has a sum of zero?

A. Borrowing $20 from my brother and paying him back $10.

B. Earning $5 for mowing the lawn and spending $5 on candy.

C. Earning $10 for mowing the lawn and spending $2 on candy.

D. Borrowing $10 from my mom and then another $5 from her the next day.

O B
O C
O A
O D

Answers

Answer:

The answer is B

Step-by-step explanation:

If you earn $5 when you mow the lawn, you now have $5 in your wallet. You then go and spend $5 on candy, which means you now have $0.

A. 20 - 10 = 10 (you will still money left)
B. 5 - 5 = 0
C. 10 - 2 = 8 (you will still money left)
D. 10 + 5 = 15 (you will still money left)


Therefore, our final answer is B



Hope this helps!

answer the top 3 please i don’t need the rest

Answers

Answer:

a) inscribed angle LNP

b) minor arc: LP

c) semicircle: LN

Soo, I need help with these 3 math problems. I don't have enough time to do them before I go to bed.
So these apple pies have a ratio of 15 apples to 3 pies. How many apples do you need for 12 pies?

Answers

Answer:

60

Step-by-step explanation:

since 15 apples makes 3 pies you divided 15 by 3 and get 5. 5 apples for one pie so that would be 5 x 12 = 60

Answer:

Since with 15 apples we are able to make 3 pies, this means that in each pie there are 5 apples (15apples divided by 3 pies = 5 apples.)

If there are 12 pies we simply have to multiply 12x5 which equals 60, this means that if we needed to make 12 pies we would need 60 apples.

15apples:3pies   =   60apples:12pies

Which operation should you perform first in the expression 7 × 2 by the power of 3

Answers

Answer:

If the 7 x 2 is in parenthesis then you would do the 7 x 2 first then do 14 by the power of 3. If there is no parenthesis and the power of 3 is hovering next to the 2 then you would do 2 to the power of 3 and then multiply that by 7.

Step-by-step explanation:

PEMDAS. Whatever is in parenthesis gets solved first, then exponents and so on and so forth.

Does anyone know this? Please help! ASAP!!!

Answers

the answers:
a=4
b=5
c=6
d=1

Answer:

a=4

b=5

c=6

d=1

Step-by-step explanation:

4a=16

7+a+b=16

2b+c=16

a+b+c+d=16

Solve the inequality.

r+0.2<−0.7

Answers

Answer:

r<−0.9

Step-by-step explanation:

Let's solve your inequality step-by-step.

r+0.2<−0.7

Step 1: Subtract 0.2 from both sides.

r+0.2−0.2<−0.7−0.2

r<−0.9

Heather drove at a constant rate. She traveled 162162 miles in 33 hours. How far, in miles, did Heather travel in 11 hour?

Answers

Answer:

i think its 54054

Step-by-step explanation:

An oil company fills 1 over 12 of a tank in 1 over 4 hour with gasoline. At this rate, which expression can be used to determine how long will it take for the tank to fill completely?

1 over 4 ⋅ 1 over 12 hours

1 over 12 ⋅ 4 hours

1 over 4 ⋅ 12 hours

12 ⋅ 4 hours

I am in middle school, not high school.

Answers

Answer:

1

Step-by-step explanation:

1/4 × 12 hours, since 12 × 1/12 = 1

Hope it helps!!!!!!!Brainliest pls!!!!!!

Compare the following ratios: (Use >, < or = sign in the place holders)

8) 1:2 ___ 3:6

9) 3:5 ___ 2:4

10) 6:7 ___ 4:8

11) 5:1 ___ 7:9

12) 4:6 ___ 7:6

13) 1:8 ___ 4:11

14) 5:2 ___ 10:4

15) 4:3 ___ 2:4

16) 7:2 ___10:3

Answers

Answer:

Step-by-step explanation:

8) 1:2 _<__ 3:6

9) 3:5 _>__ 2:4

10) 6:7 _>__ 4:8

11) 5:1 _<__ 7:9

12) 4:6 _<__ 7:6

13) 1:8 __<_ 4:11

14) 5:2 __<_ 10:4

15) 4:3 _> 2:4

16) 7:2 _<__10:3

The point always points towards the smallest number.

Solve for the value of x.
10x-5
8x+9

Answers

Answer:

[tex]\displaystyle 7 = x[/tex]

Step-by-step explanation:

These are alternate interiour angles, and the theorem states that they are congruent, so set both expressions equivalent to each other:

[tex]\displaystyle 10x - 5 = 8x + 9 \Rightarrow \frac{-14}{-2} = \frac{-2x}{-2} \\ \\ \boxed{7 = x}[/tex]

I am joyous to assist you at any time.

Solve by completing the square.
w2 – 16w – 19 = 0

Answers

Answer:

Factoring w2-16w+19

The first term is, w2 its coefficient is 1 .

The middle term is, -16w its coefficient is -16 .

The last term, "the constant", is +19

Step-1 : Multiply the coefficient of the first term by the constant 1 • 19 = 19

Step-2 : Find two factors of 19 whose sum equals the coefficient of the middle term, which is -16 .

-19 + -1 = -20

-1 + -19 = -20

1 + 19 = 20

19 + 1 = 20

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

w2 - 16w + 19 = 0

hope it helps

PLEASE HELP ASAP


I PUT A PHOTO ​

Answers

Answer:

7/8

Step-by-step explanation:

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