find three consecutive even integers for which -4 times the sum of the first and third is 192

Answers

Answer 1

Answer:

-26-24-22

Step-by-step explanation:

Let x be the smallest number (first)

Let (x + 2) be the second number (second)

Let (x + 4) be the greatest number (third)

Set equation according to the given information

-4 [x + (x + 4)] = 192

Simplify parentheses

-4 [x + x + 4] = 192

-4 [2x + 4] = 192

Expand bracket and apply the distributive property

(-4) · 2x + (-4) · 4 = 192

-8x - 16 = 192

Add 16 on both sides

-8x - 16 + 16 = 192 + 16

-8x = 208

Divide -8 on both sides

-8x / -8 = 208 / (-8)

[tex]\boxed{x=-26}[/tex]

Find the value of the second term

x + 2 = (-26) + 2 = [tex]\boxed{-24}[/tex]

Find the value of the third term

x + 4 = (-26) + 4 = [tex]\boxed{-22}[/tex]

Hope this helps!! :)

Please let me know if you have any questions


Related Questions

PLEASE HELP COMPARING RATIOS

Answers

Answer:

John: 8 Hong: 5 Keith: 7

Step-by-step explanation:

Divided each larger number by three smaller one, and that is how much time each flyer spent.

This makes no sense, math, i need help because this is BS and i don’t get it. there must be something i am missing.

Answers

Answer:

You are correct! But note the syntax:

the computer wants you to type in the box

2/3 x - 2

because "y =" is already written!

Step-by-step explanation:

How many solutions are there to the equation below?
12x + 32 = 12x - 7
A. 1
B. infinitely many
C.0

Answers

Answer:

C

Step-by-step explanation:

this is the answer because both sides are parallel

when on a graph

please help me :/ you will get 20 points and i will mark brainliest this is for math ;-; again
the picture is attached below but please look at the picture
just in case you cant read what my writing says it says this
The greatest integar function shown below is defined to be the greatest _______ less than or equal to x.

Answers

Answer:

equal to x

Step-by-step explanation:

Solve for W.
4w=5.12

Answers

Answer:

x =1.28

Step-by-step explanation:

4w=5.12

Divide each side by 4

4w/4 = 5.12/4

x =1.28

The answer is w=1.28

solve the simultaneous equation

x+2y=5
x²-y²=-3​

Answers

Answer:

y = 14/3 and 2

x = -13/3 and 1

(-13/3, 14/3) and (1, 2)

Step-by-step explanation:

[tex]x + 2y = 5 - - - (a) \\ {x}^{2} - {y}^{2} = - 3 - - - (b)[/tex]

for equation (a)

make x the subject of the formular:

[tex]x = 5 - 2y - - - (c)[/tex]

for equation (b)

[tex] {x}^{2} - {y}^{2} = - 3[/tex]

substitute for x as 5 - 2y in equation (b):

[tex] {(5 - 2y)}^{2} - {y}^{2} = - 3 \\ (25 - 20y + 4 {y}^{2} ) - {y}^{2} = - 3 \\ 25 - 20y + 3 {y}^{2} = - 3 \\ {3y}^{2} - 20y + 28 = 0 \\ (3y - 14)(y - 2) = 0[/tex]

therefore,

[tex]y = \frac{14}{3} \: \: and \: \: 2[/tex]

substitute for all values of y in equation (c):

for y = 14/3:

[tex]x = 5 - 2( \frac{14}{3} ) \\ \\ x = 5 - \frac{28}{3} \\ \\ x = - \frac{13}{3} [/tex]

for y = 2:

[tex]x = 5 - 2(2) \\ x = 5 - 4 \\ x = 1[/tex]

Answer:

(1, 2)

(-13/3, 14/3).

Step-by-step explanation:

x + 2y = 5

x² - y² = -3​

From the first equation x = 5 - 2y

Substitute for y in the second equation:

(5 - 2y)^2 - y^2 = -3

25 + 4y^2 - 20y - y^2 = -3

3y^2 - 20y + 28 = 0

Factoring:-

(3y - 14(y  -  2)   = 0

y = 2, 14/3.

So when y = 2, x = 5 - 2(2) = 1.

When y = 14/3, x = 5 - 2(14/3) = -13/3.

Checking the results in the second equation:

(1, 2):-

1^2 - 2^2 = -3    Correct.

(-13/3, 14/3):-

(-13/3)^2 - (14/3)^2 = -3   Correct.

What fractional part of the bar is red?

Group of answer choices

1/6

2/6 or 1/3

3/6 or 1/2

4/6 or 2/3

Answers

2/6 is the correct answer

An angle measures 46° more than the measure of its complementary angle. What is the
measure of each angle?

Answers

Answer:

Angle + the Complementary angle = 90 degrees. Let x be the measure of the angle under the question. Then the measure of the Complementary angle is (x+46) degrees, and you have this equation x + (x+46) = 90, or 2x+ 46 = 90, or 2x = 90 - 46 = 44. Then x =  = 22. The given angle has the measure of 22 degrees. The complementary angle is 90-22 = 68 degrees. Check. 68 - 22 = 44 degrees. Correct !!

using the variable n write an algebraic expression for a number increased by 6

Answers

The answer you are looking for is simply just n+6.

Solution/Explanation:

If you use the variable "n" to write an algebraic expression, for a number increased by 6, you must write it like this:

n+6.

And, also, increase obviously means the same thing as adding.

So, therefore, "n" stands for the number in this algebraic expression, and if you add 6 to that number "n," it must be n+6.

So, therefore, the final answer is n+6.

I hope that this has helped you. Enjoy your day, and take care!

HELP PLS HELP HELP WILL MAKE BRAINLIEST ​

Answers

Answer: Therefore, 14% of cats and dogs got shelter during the day.

Step-by-step explanation:

cats = 5/50 * 100%

    = 5*2% = 10%

dogs = 2/50* 100%

       = 2*2% = 4%

so

= 10% + 4% = 14%

Answer:

Option A

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

solve 4m plus 2n equals 5n for m.

Answers

Answer:

m = (3/4) n

Step-by-step explanation:

4m + 2n = 5n

The subtraction property of equality states that we can subtract 2n from both sides to isolate the m and its coefficient to get

4m = 3n

The division property of equality states that we can divide 4 from both sides to isolate only the m (we divide by 4 because anything divided by itself equals 1) to get

m = (3/4) n

At a charity​ fund-raiser, adult tickets were sold for ​$10 each and​ children's tickets were sold for $4 each. Write an algebraic expression for the total amount of money raised from the sale of tickets. How much money was raised if the fundraiser sold 244 adult tickets and 387 ​children's tickets?

Answers

Answer:

the all adult tickets made out 2440$

the all children tickets made out 1548

I need help on #5 please and thank you

Answers

Answer:

six times twice a number plus 5 times the number

What is the answer ?

Answers

Answer:

27

Step-by-step explanation:

36 divided by 4 equals 9 which is what the sea turtle can swim in 1 second. Multiply 9 by 3 and you'll get 27.

Answer:

Step-by-step explanation:

13 Points Plz Help Me

Answers

Step-by-step explanation:

y+x-2-6x = y-5x-2

2x+3-x-4 = x-1

5xy+4x-5xy-3 = x

Tom makes a bet with his friend Bob. Bob wagers $100, but Tom decides to make him a deal. If Bob wins, Tom will pay him $100. If Tom wins, Bob will instead pay $1 for the first day, then every day for 10 days he must match the total amount paid so far.
For the first day, Bob will pay $1. The second day, he will pay an additional dollar, since he has only paid $1 thus far. The third day he will pay $2, the fourth $4, and so on.
If Bob has a 75% chance to win, which of the following is the closest to the amount of money Tom will make on average with this bet?
Possible Answers:
A. -$25
B. $50
C. $0
D. $25
E. $100

Answers

Answer:

B

Step-by-step explanation:

PLEASE HELP!! i can’t figure this out!

Given the point A(-3,-3) and B(5,1), find the coordinates of the point P on the directed line segment AB that partitions AB in the ratio of 3:1.

Answers

Answer:

1,-1

Step-by-step explanation:

midpoint is (-3)+5÷2 ; (-3)+1÷2

=1;-1

A carpenter had a piece of wood 10 feet long. She cut the wood into pieces 1 1/4 feet In length. How many pieces of wood did she cut

Answers

Answer:

8

Step-by-step explanation:

10/(5/4) = 8

1 1/4 = 5/4

Answer question worth 25 points plz help!

Answers

Answer:

B

Step-by-step explanation:

in a class 1/6 of a children are girls there are five girls in the class how many boys are there in the class

Answers

Hope it is helpfully.Have a nice day.

Help please. Domain ASAP

Answers

Answer:

x ≥ -1

Step-by-step explanation:

The domain is all the possible x-values of the function.

Reading from left to right, the first x-value is x = -1 (which is included because the dot is filled in.) From there, the graph goes to the right, towards infinity.

So x is greater than or equal to -1.

x ≥ -1

-6, 20, 4.3, -59/-9
Order from least to greatest

Answers

-59 -9 -6 4.3 20 there

Simplify the following expression:
4n - m + 3p + 2m - n - p

Answers

Answer:

The choose One

3n+m+2p

I hope I helped you^_^

Answer:

[tex] = 3n + m + 2p[/tex] (first option)

Step-by-step explanation:

[tex]4n - m + 3p + 2m - n - p[/tex]

[tex]4n - n = 4n - 1n = (4 - 1)n = 3n[/tex]

[tex]3n - m + 3p + 2m - p[/tex]

[tex] - m + 2 = - 1m + 2m = ( - 1 + 2)m = 1m = m[/tex]

[tex]3n + m + 3p - p[/tex]

[tex]3p - p = 3p - 1p = (3 - 1)p = 2p[/tex]

[tex] = 3n + m + 2p[/tex]

Jerimiah records lap times at the track meet on Saturday. He records a time of 85 seconds for Jennifer's lap, but she really completed the lap in 84.25 seconds.

What is the approximate percentage of error in Jerimiah's measure?

Answers

Answer:

I'm not sure. What I would do, though, is find the difference of the two times and then find the percentage of that within the original time. So the difference is .75. So the percentage would be .25%. Just an educated guess.

20 PTS + Brainliest. Please find the size of the blue area, explain your work.

Answers

here is answer, hope u understand:)

PLEASE HELP!!! I really need help with this.

Answers

Answer:

M.  2.5n - (-8.2) = 26. 7

to find n transpose

2.5n + 8.2 = 26. 7

2.5n = 26. 7 - 8.2

2.5n = 18.5

n = 18.5 ÷ 2.5

n = 7.4

L.  [tex]\frac{7a + 1}{2}[/tex] = 18

7a + 1 = 18 ×2

7a + 1 = 36

7a = 36 - 1

7a = 35

a = 35 ÷ 7

a = 5

N.     [tex]\frac{2}{5}[/tex] b + 1 = -11

[tex]\frac{2}{5}[/tex] b   = -11 -1

[tex]\frac{2}{5}[/tex] b   = -12

b = -12 - [tex]\frac{5}{2}[/tex]

b = 20

H.   5 - [tex]\frac{9}{2}[/tex] d = 32

- [tex]\frac{9}{2}[/tex] d = 32 - 5

- [tex]\frac{9}{2}[/tex] d = 27

d =  27 + [tex]\frac{2}{9}[/tex]

d = 6

Help anyone can help me do the question 4,I will mark brainlest.​

Answers

Answer:

Hello,

Step-by-step explanation:

[tex]A=(1,2)\\B=(0,-1)\\\overrightarrow{AB}=((0,-1)-(1,2)=(-1,-3)\ ||\overrightarrow{AB}||^2=1+9=10\\\overrightarrow{BC}=((3,-2)-(0,-1)=(3,-1)\ ||\overrightarrow{BC}||^2=9+1=10\\\\Triangle\ is\ isosceles.\\\\\overrightarrow{AB}.\overrightarrow{BC}=(-1,-3)*\left[\begin{array}{c}3\\-1\end{array}\right] =-3+3=0\\\\Triangle \ is\ right.\\\\[/tex]

Answer:

(Work below)

BRAINLIEST, PLEASE!

Step-by-step explanation:

A(1, 2) B(0, -1) C(3, -2)

The distance between A and B is:

3^2 + 1^2 = c^2

9 + 1 = c^2

c = 10^1/2

The distance between B and C is:

1^2 + 3^2 = c^2

1 + 9 = c^2

c = 10^1/2

The distance between C and A is:

4^2 + 2^2 = c^2

16 + 4 = c^2

c= 20^1/2

Since AB and BC are the same, but AC isn't, the triangle is isosceles.

The midpoint of AB is M(3, 1). If the coordinates of A are (1, -1), what are the
coordinates of B?

Answers

Answer:

(5,3)

Step-by-step explanation:

Evaluate-2xy, if x=-4 and y=1.
32
0-16
0-32
16

Answers

Answer:

8

Step-by-step explanation:

This question asks for us to substitute values of variables into the following equation: -2xy

We know two pieces of information:

x = -4y = 1

All we have to do is substitute the values for variables.

-2xy

-2(-4)(1)

= 8(1)

=8

Pls help Im stuck Thx.

Answers

36 clicks every 5 seconds

Step-by-step explanation:

First you divide the number of clicks by seconds.

36÷5=7.2

26÷3=8.6

Now you know how much clicks the bots do in 1 second

Bot#3= 7.2

Bot#4= 8.6

Now multiply by 10.

Bot#3= 72

Bot#4= 86

Bot#4 does more clicks in 10 seconds.

Other Questions
HELP PLEASE HELPPP PLEAE NO LINKS OR I WILL REPORT YOU PLEASE GIVE EXPLANATION Escucha y escoge la opcin con la palabra deletreada en el audio. Listen and select the option with the spelled word from the audio. (2 points) aNacer bNaser cCocer dCoserlook at the pic i providid to listen to the adio 1. The sum of 6 times a number n and 4 times a number n is -30. What is the number?2. Four less than the product of 6 and a number n is -30. What is the number? _____3. Four less than the product of 6 and a number n is -30. What is the number? _____ Which of the following fractions is in lowest form How did Thomas Edison's improved lightbulb contribute to industrialization inthe United States?O A. It created a demand for skilled glassblowers to make morelightbulbs.B. It allowed employers to extend the workday and increaseproductivityC. It was Edison's first success and brought him the funding todevelop other inventions.D. It allowed factories to be built underground, which was lessexpensive. A study of more than 250 ads appearing in eight issues of Seventeen magazine, four Japanese issues, and four U.S. issues, found that teenage girls are portrayed differently in the Japanese issues from how they are portrayed in the U.S. issues. The researcher concluded that these "differences correspond to each country's central concepts of "self" and of "society." This study is an example of ________. Pleaseee helppp due tomorrow!! I need you to respond to the passage in the picture please. Like write your opinion on it I guess expressions equal to 10^3 how has European culture surpassed african culture An essay is a type of helpppppppppppppppp pleaseeee 6162=308. I got 38 instead of 308 when solved with long division The image of the point (3, -5) under a translation is (8, 4). Find the coordinatesof the image of the point (-4, -6) under the same translation. Can one of you answer my last question? Please I really need it how long does it take jesse to accelerate from rest in his car to a velocity of 180 km/h if the car accelerates at 15 km/h/s a hot metal block is placed into 50g of water in an insulated container the water increases in temperature from 20c to 32c the specific heat capacity of water is 4200j/kgk calculate the quantity of heat energy supplied to the water from the metal math geometry (10 points) is this right i dont know if it is the density of oxygen is 0.0001429 grams per cubic centimeter.how is this number written in scientific notation? You shake a bottle of soda and take off the cap. If the soda shoots out of thebottle with a velocity of 17 m/s, how high will it go?A. 16.9 mB. 14.7 mC. 10.6 mD. 12.2 m