The sum of two consecutive even integers is 214. What are the integers?

Answers

Answer 1

Answer:

Let the numbers be a and a + 2

According to question,

a + a + 2 = 214

=> 2a + 2 = 214

=> 2a = 212

=> a = 106

First number = 106

Second number = 108

Step-by-step explanation:

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Answer 2

Answer:

106, 108

Step-by-step explanation:

even numbers

say n, n+2

n+n+2=214

2n=212

n=212/2=106

even numbers are 106 and 108


Related Questions

HELPPPP PLSSS
Members of a lacrosse team raised $1814.75 to go to a tournament. They
rented a bus for $1168.50 and budgeted $58.75 per player for meals. Which
equation could be used to determine 2, the number of players the team can
bring to the tournament?

Answers

Answer: Choice B

x = (1814.75 - 1168.50)/(58.75)

==============================================

Explanation:

x = number of players

58.75x = cost of all the meals for those x players

58.75x + 1168.50 = adding on the cost of the bus

58.75x + 1168.50 = 1814.75

----------

Let's solve for x.

58.75x + 1168.50 = 1814.75

58.75x = 1814.75 - 1168.50

x = (1814.75 - 1168.50)/(58.75)

x = 11

This means 11 players can go on the trip.

1 player = $58.75 in meals

11 players = 11*58.75 = $646.25 total in meal costs

646.25 +  1168.50 = 1814.75

So this confirms the answer.

The correct equation to determine the number of players (x) the team can bring to the tournament is x = (1814.75 - 1168.5) / 58.75.So, the correct answer is B. x = (1814.75-1168.5)/58.75

The amount raised by the lacrosse team is $1814.75. They spent $1168.50 on the bus rental and budgeted $58.75 per player for meals. Let's break down the expenses:

Total expenses = Bus rental cost + (Number of players * Meal cost per player)

Total expenses = $1168.50 + (x * $58.75)

The equation that represents the total expenses in terms of the number of players (x) is: Total expenses = $1168.50 + $58.75x

Since the team raised $1814.75, we can set up the equation:

Total expenses = Amount raised

$1168.50 + $58.75x = $1814.75

Now, let's solve for x:

$58.75x = $1814.75 - $1168.50

$58.75x = $646.25

Dividing both sides by $58.75:

x = $646.25 / $58.75

x = 11

So, the correct equation to determine the number of players (x) the team can bring to the tournament is: B. x = (1814.75 - 1168.5) / 58.75

To know more about equation:

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Correct Question is:

Members of a lacrosse team raised $1814.75 to go to a tournament. They

rented a bus for $1168.50 and budgeted $58.75 per player for meals. Whichequation could be used to determine x, the number of players the team can bring to the tournament?

A. 1168.5x = 1814.75 - 58.75

B. x = (1814.75-1168.5)/58.75

C. x= (1168.5-1814.75)/58.75

D. 1814.75 = 58.75(x+1168.5)

9. 6(0.4 +0.3) =
I need it now!!!!!
:)

Answers

Answer:

4.2

Step-by-step explanation:

0.4+0.3=0.7

0.7x6=4.2

Answer:

4.2

Step-by-step explanation:

6(0.4+0.3)

=> 6(0.7)

=> 6 x 0.7

=> 4.2

The graph of y = 2x + 1 is:

True or False

Answers

Answer:

False

Step-by-step explanation:

We can already see that the y-intercept doesn’t matches with the inequality.

Therefore, it is false

Answer:

False

Step-by-step explanation:

If the graph represented y = 2x + 1, then the y-intercept would be 1. The slope is correct(-ish), the y-intercept is not.

what is the slope of a line parallel to 3x+y=7

Answers

Answer:

slope is also same as gradient

if 3x+y=7

make y the subject of formula

y=7-3x

so from,y = mx +c

compare the equations

if -3x=mx

divide both sides by x

I.e m=-3

write another fraction that is equivalent to 4/5.

Answers

Answer:

8/10 could be one of the answers

You can multiply 4 and 5 by the same number and get alot of other answers

like 4/5× 5/5 which would have a fraction of 20/25 which would be equal to 4/5, its just bigger and more complicated really.

Factorize: 7xyz + 21x^2 y​

Answers

Answer:

[tex]7xyz + 21 {x}^{2} y [/tex]

factorise out 7, x and y:

[tex] = 7xy(z + 3x)[/tex]

Answer:

[tex]\huge\boxed{\sf 7xy (z + 3x)}[/tex]

Step-by-step explanation:

[tex]\sf 7xyz +21x^2y\\\\H.C.F. = 7xy\\\\Hence, \ Take \ 7xy \ as \ common\\\\= 7xy (z + 3x)\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

help please!!!!!!!!!!!!!!​

Answers

Answer:2

2b√5ab

Step-by-step explanation:

Answer:

[tex] \sqrt{20a {b}^{3} } \\ = \sqrt{4 \times 5 \times ab {b}^{2} } \\ = 2b \sqrt{5ab} \\ thank \: you[/tex]

An insurance company sells a homeowner's insurance policy that is $600 per year per policy. The insurance company predicts that the probability of having a home being damaged in the area it sells this policy is about 11,000. If the home is damaged, the insurance company expects to pay $400,000 to the homeowner. If the company were to sell 250 policies, how much money can it expect to gain or lose

Answers

Answer:

profit of $140,910

there is a missing number I will assume that the probability is 1 in 11,000

company expected revenue per policy = $600

companies expected expense = 400,000 * (1/11,000) = -36.36

profit per policy = $536.64

$536.64*250 = $140,910

Step-by-step explanation:

2/3=1/2x+2y can someone help

Answers

I believe that the answer is 4

help plz HHHHHHHHHHHHHHHHEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Blank space is -5

Step-by-step explanation:

f/2 + 9 = 4

-9 .   -9

f/2 = 4 - 9 = -5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: f/2 = -5

Step-by-step explanation:

Given

f/2 + 9 = 4

Subtract 9 on both sides

f/2 + 9 - 9 = 4 - 9

f/2 = -5

Multiply 2 on both sides

f/2 × 2 = -5 × 2

f = -10

Hope this helps!! :)

Please let me know if you have any questions

x=4/9u + 7
solve for u.

Answers

Answer:

Step-by-step explanation:There are two variables which are x and u so it doesn't seem possible to solve.Kindly re-write the question

Find the length of the segment AB.
Plz help!!! I’ll give you brainliest.

Answers

Answer:

Its 5 i think? You just count how many units from point A to Point B is.

The answer to the question is be 5

What is the sum of 5 numbers whose average is 5 more than 5?

Answers

Answer:

The sum of 5 numbers with an average of 5 more than 5 is 50

Step-by-step explanation:

Let the first five letters of the alphabet be equal to the 5 numbers being summed.

Let the average be represented by the following equation:

[tex]\frac{a + b + c + d + e}{5} = 10[/tex]

To find the sum, we should get rid of the denominator. To do that we multiply 5 on both sides

[tex]\frac{a + b + c + d + e}{5} (5) = 10(5)\\a + b + c + d + e = 50[/tex]

Therefore, we see to it that the sum of the 5 numbers is 50.

FIRST PERSON WILL BE MARKED BRAINLIEST!!!

Answers

Answer:

Correct choice is option A. 6a + 8b ≤ 200

                                             7a + 5b ≤ 150

---> cereal A with grams will be multiplied by the sodium available in one gram of cereal A

----> The solution from the above equation would then be added to the cereal B with grams as well as its sodium content per grams.

6a + 8b ≤ 200

---> Cereal A's grams × Cereal A's calories + Cereal B's grams × Cereal B's calories is ≤ 150

so, 7a + 5b ≤ 150

Eduardo has in his pocket $1 in pennies, $1 in nickels, and $1 in dimes. If he randomly pulls out just one coin, what is the probability that he will pull out a dime?

Answers

The probability of picking a dime from the coins in his pocket is 1/13

1 penny = 1 cent

Hence, 100 pennies = $1

1 nickel = 5 cent

20 nickels = $1

1 dime = 10 cent

10 dime = $1

This means that :

Eduardo has :

100 pennies 100 pennies 20 nickels 100 pennies 20 nickels 10 dimes

Total coins = (100 + 20 + 10) = 130 coins

Recall :

Probability = required outcome / Total possible outcomes

P(dime) = number of dimes / total coins

P(dime) = 10 / 130 = 1/13

Hence, the probability of picking a dime = 1/13

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What is the solution of the equation?
8-3t=t

-1/4
-4
2
1/2

Answers

Answer:

t = 2

Step-by-step explanation:

8-3t=t

add 3t to both sides

8=4t

then divide both sides by 4 leaving you with

t=2

Help anyone can help me do this question,I will mark brainlest.

The question (g) is P(p,4p),Q(-2p,8p)
(h) is R(-2m,5m),S(-4m,-2m)​

Answers

Answer:

e)_/13

f)13

g)5p

h)_/53m

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

see explanation

Step-by-step explanation:

Calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

(g)

with (x₁, y₁ ) = P (p, 4p) and (x₂, y₂ ) = Q (- 2p,8p)

d = [tex]\sqrt{(-2p-p)^2+(8p-4p)^2}[/tex]

   = [tex]\sqrt{(-3p)^2+(4p)^2}[/tex]

   = [tex]\sqrt{9p^2+16p^2}[/tex]

   = [tex]\sqrt{25p^2}[/tex]

   = 5p

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

(h)

with (x₁, y₁ ) = R (- 2m, 5m) and (x₂, y₂ ) = S (- 4m, - 2m)

d = [tex]\sqrt{(-4m-(-2m))^2+(-2m-5m)^2}[/tex]

   = [tex]\sqrt{(-4m+2m)^2+(-7m)^2}[/tex]

   = [tex]\sqrt{(-2m)^2+49m^2}[/tex]

   = [tex]\sqrt{4m^2+49m^2}[/tex]

  = [tex]\sqrt{53m^2}[/tex]

 = m[tex]\sqrt{53}[/tex]

Tell whether the ordered pairs are a solution of the equation.

y = 6x (8, 48)

5 - x = y (2, 3)

Answers

Answer:

Both are true

Step-by-step explanation:

y = 6x and (8, 48)

48 = 6(8)

48 = 48

TRUE

5 - x = y and (2, 3)

5 - 2 = 3

3 = 3

TRUE

Best of Luck!

express x²+4x-2 in the form of (x+a)²+b​

Answers

Answer:

(x+2)^2-6

Step-by-step explanation:

(x+2)^2 = x^2 + 4x + 4

x^2 + 4x + 4 -6 = x²+4x-2

Answer:

(x + 2)² - 6

Step-by-step explanation:

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² + 4x

x² + 2(2)x + 4 - 4 - 2

= (x + 2)² - 6

Find the complex conjugate of the given number.
-4 + 8i

Answers

Answer:

-4 - 8i

Step-by-step explanation:

The complex conjugate of -4 + 8i=-4 - 8i

Find the vertex of the graph of the function.
f(x) = (x - 10)2 - 8 (2 points)
A. (10, -8)
B. (-8, 0)
C. (0, 10)
D. (-8, 10)

Answers

Answer:

A. (10, -8)

Step-by-step explanation:

Given function:

f(x) = (x - 10)² - 8

The vertex form of a quadratic function:

f(x) = (x - h)² + k, where (h, k) is the vertex

According to the above, the vertex of the given function is:

(10, -8)

Correct choice is A

Step-by-step explanation:

y=(x-10)²-8

General equation of parabola

vertex form is given by

y=a(x-h)²+k

On comparing we get

h=10k=-8

So vertex is at (10,-8)

Is 0.62473 a member of the set? For each set of real numbers, select yes or no​

Answers

?

Step-by-step explanation:

can't see the opinions

please somebody can help me

alguien me puede ayudar plis

Answers

Answer:

8) her hair was 8 inches long

find the value of (5x)⁰​

Answers

Answer:

1

Step-by-step explanation:

(5x) ^0 =1

every power zero is 1

Te equation -15 = 1/5x can be solved to find the value of X

which is -75.

Which step in the construction of copying a line segment ensures that the new line segment has
the same length as the original line segment?

Answers

Answer:

希 · 斯杰德布德克克贾克什伊索伊菲夫杰杰德克斯克克沃斯克维约沃沃

Answer:

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

don't know

a shea cd player costs $80 last year and $112 this year. what was the percent of increase in its price

Answers

Answer:

at first subtract 80 from 112 then divide it by 80 after that multiply it by 100%

Find the midpoint of the following points: (2,3) and (8.-4).

Answers

Step-by-step explanation:

Use formula of midpoint

( x1+x2)/2 , (y1+y2)/2

2+8 = 10/2 = 5 (x)

3+ -4 = -1/2 (y)

(5,-1/2) is the final answer

Determine the product of the binomial 6x−2 and the trinomial 3x2−5x−1.

Answers

Answer:

6(x-2)

Step-by-step explanation:

because x and 2 are taken as common by us

There are 37 carpenters in a crew. On a certain day, 27 were present. What percent showed up for work?

Answers

Answer:

73%

Step-by-step explanation:

/ means divide

you divide the total by those who showed up

27/37 = .7297 = around .73 = 73%

Are points N, R, S, and W coplanar? Explain.

Answers

Two or more points are said to be coplanar if they all lie on the same plane.

Based on the given diagram, we can see that the points N, R, S, and W all lies on the same plane A. Due to this fact, we can conclude that N, R, S, and W are coplanar.

Assuming any of the four points fall outside plane A, then we can say they are not coplanar.

Based on the explanation above, we can conclude that points N, R, S, and W all lie on the same plane.

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