For three consecutive even integers, -4 times the sum of the first and third integers is 192. What is the middle integer?

Answers

Answer 1

Answer: Middle integer = -24

Step-by-step explanation: First understand the formula for finding three consecutive even numbers.

Formula used: -4(n+n+4)=192

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

−4(n+n+4)=192

Step 1: Simplify both sides of the equation.

−4(n+n+4)=192

(−4)(n)+(−4)(n)+(−4)(4)=192(Distribute)

−4n+−4n+−16=192

(−4n+−4n)+(−16)=192(Combine Like Terms)

−8n+−16=192

−8n−16=192

Step 2: Add 16 to both sides.

−8n−16+16=192+16

−8n=208

Step 3: Divide both sides by -8.

−8n

−8

=

208

−8

n=−26

Now find the middle integer.

Formula used: n+n+2+n+4

-26+(-26)+2+(-26)+4

-26+(-24)+(-22)

Middle integer=-24

Answer 2

Answer:

-24

Step-by-step explanation:


Related Questions

What percent of 362.5 is 145?

Answers

Answer:

40%

Step-by-step explanation:

362.5 = 100% (1).

x = 40% (2).

(362.5%)/(x%) = 100/40

x%/362.5% = 40/100

x = 145

Hope this helps.

Check (24, 144, 145) is a Pythagorean triplet

Answers

Answer:

Step-by-step explanation:

The given triplets are (16,63,65) . Let us assume 16 as the smallest even number, then it should be equivalent to 2m . From the above result we can say that triples (16,63,65) is a Pythagorean triplet. The given triplets are (24,144,145)

Can you help me anyone

Answers

Answer:

uh ew what is your pfp also its C

Hi everyone, stay safe, I need help on this, it’s about Triangles.

Answers

Answer:

Right scalene triangle

Acute equilateral triangle

Step-by-step explanation:

For the first triangle, we will use the Converse of the Pythagorean Theorem:

If c² < a² + b², then it means that it is an acute triangle.

If c² = a² + b², then it means that it is a right triangle.

If c² > a² + b², then it means that it is an obtuse triangle.

For the first triangle, let c = 25 yd, a = 7 yd, and b = 24 yd

c² = a² + b²

25² = 7² + 24²

625 = 49 + 576

625 = 625 (True statement).

Therefore, the first triangle is a right triangle. At the same time, each angle have different measures, making it a scalene triangle.  Therefore, the first triangle is an example of a right scalene triangle.  

For the second triangle, since all sides are equal, it doesn't matter which side we label as a, b, or c.

Let's see which type of triangle it is according to its sides:

c² = a² + b²

32² = 32² + 32²

1024 < 2048  

Therefore, it is an acute triangle. At the same, the second triangle has equal sides, making it an equilateral triangle. Therefore, the second triangle is an example of an acute equilateral triangle.

Please mark my answers as the Brainliest if you find this helpful :)

Two entrepreneurs imported crafts for resale. The ratio of their investment was
3:5. What was each person's share of the $12,000 sales income?

Answers

Answer:

$4500 and $7500

Step-by-step explanation:

The share has the same ratio as investment:

3x + 5x = 120008x = 12000x = 12000/8x = 1500

The shares are:

3*1500 = 45005*1500 = 7500

Rlly important, is this the correct length?

Answers

Answer: yes

Step-by-step explanation: 14*12*5=840

the formula for volume is Lenght*widht*height

HELP ASAP (MAX PTS) ILL GIVE BRAINLIEST

Answers

Domain is the x values and range is the y values.

Domain: (-5,-4, 0,1,3,4)

Range: ( 0,1,2,3,5)

What is i^-2

please help urgently
1
-1
i
-i

Answers

-1 is the answer
This is because put 1/i^2 then reduce to 1/-1=-1


Find the Lowest Common Multiple (LCM) of 55 and 77.

Answers

Answer:

→ 55 = 5 × 11→ 77 = 7 × 11

Now, the Lowest Common Multiple (LCM) of 55 & 77 is :

5 × 7 × 11 = 385385 is the right answer.

Jenna bought a package of 12 drumsticks. The package weighed 1.572 Kg. What is the average weight of each drumstick?

Answers

Answer:

0.131kg is the average.

Step-by-step explanation:

Divide 1.572 (total weight) by 12 (amount of sticks)

I NEED HELP!!
Select correct answer

Answers

if a= -7 then -7 to the third power is -343
if b= -3 then -3 to the third power is -9.

So -343 minus -9 = -334

Answer: -334

A box contains 5 red marbles, 6 white marbles, and 8 blue. If a Marble is randomly selected from the box, what is the likely hood that it is white? Express it in a fraction. ​

Answers

The fraction should be as such.
Likelihood of white: 6/19

Find the volume of a box that has a length of 7 cm, a width of 9 cm, and a height of
11.2 cm.

Answers

The answer is 705.6 cm^3.

Remember that volume of a box, rectangular prism, is: V = LWH.

So, V = 7(9)(11.2) = 705.6 cm^3

Please answer question A) please ASAP ☺️

Answers

Answer:

Given function:

P(n) = 0.4n + 5.7

Find its inverse:

x = 0.4[tex]P^{-1}[/tex](x) + 5.70.4[tex]P^{-1}[/tex](x) = x - 5.7[tex]P^{-1}[/tex](x) = (x - 5.7)/0.4 [tex]P^{-1}[/tex](x) = x/0.4 - 5.7/0.4[tex]P^{-1}[/tex](x) = 2.5x - 14.25

a) Correct choice is B

[tex]P^{-1}[/tex](x) is the amount of vitamins n for a price of x dollars.

b) See above the equation of inverse function.

c) Find the value of inverse function when x = 8.3

[tex]P^{-1}[/tex](8.3) = 2.5*8.3 - 14.25 = 6.5 grams

HELP ME!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1x a other b

Step-by-step explanation:

simple

The equivalent expression is 7x - 2(1.3x + 3.5) = 5.4x - 7 and non-equivalent expression is 8 - 4(-2.2x + 1.1) = 8.8x + 12.4 .

What are linear expression ?

A linear expression only has one or two variables. No variables in a linear expression is raised to power greater than 1 or used as denominator of a fraction.

Now the given expressions are,

7x - 2(1.3x + 3.5) = 5.4x - 7   ....(i)

and,

8 - 4(-2.2x + 1.1) = 8.8x + 12.4     .....(ii)

Taking equation (i)

7x - 2(1.3x + 3.5) = 5.4x - 7

So, LHS = 7x - 2(1.3x + 3.5)

⇒  LHS = 7x - 2.6x + 7

or, LHS = 5.4x + 7

⇒ LHS = RHS

So these expressions are equivalent.

Taking equation (ii),

8 - 4(-2.2x + 1.1) = 8.8x + 12.4

So, LHS = 8 - 4(-2.2x + 1.1)

⇒ LHS = 8 - 8.8x - 4.4

⇒ LHS = -0.8x - 4.4

⇒ LHS ≠ RHS

So these expressions are not equivalent.

Thus, the equivalent expression is 7x - 2(1.3x + 3.5) = 5.4x - 7 and non-equivalent expression is 8 - 4(-2.2x + 1.1) = 8.8x + 12.4.

To learn more about linear expression :

https://brainly.com/question/13947055

#SPJ2

Carrie is making a colorful beaded necklace. She has 3 times as many green beads
as red beads, and twice as many blue beads beads. If she has 150 beads
all together, how many of the beads are green?

Answers

Answer:

45 green beads

.

Step-by-step explanation:

Let the number of red beads be 'x'

Given that, Carrie has 3 times as many green beads as red beads

Number of green beads = 3 times number of red beads

Number of green beads = 3x

She 2 as many blue beads as green beads

Number of blue beads = 2 times the number of green beads

Number of blue beads = 2(3x) = 6x

She has 150 total

Therefore,

Number of red beads + Number of green beads + Number of blue beads = 150

x + 3x + 6x = 150

10x = 150

x = 15

Thus, number of green beads = 3x = 3(15) = 45

Thus there are 45 green beads

I hope this helps

The question requires finding total green beads she has

There are 45 green beads

let

number of red beads = x

number of green beads = 3x

number of blue beads = 2(3x)

Total beads = 150

Total beads = red beads + green beads + blue beads

150 = x + 3x + 2(3x)

150 = 4x + 6x

150 = 10x

divide both sides by 10

x = 150/10

x = 15

Therefore,

number of red beads = x

= 15 beads

number of green beads = 3x

= 3 × 15

= 45 beads

number of blue beads = 2(3x)

= 2(3 × 15)

= 2(45)

= 90

Read more:

https://brainly.com/question/23620664

can somebody help me solve this question. I have no idea ;(​

Answers

Answer:

sorry need ko po ng points

Which of the following sets are infinite sets? (Brainliest - please explain how you got the answer)

Answers

Answer:

A and D

Step-by-step explanation:

A. This is infinite set as there are infinite number of multiples of 50775. YesB. Number of subsets is infinite but a set is a finite. NoC. This set is finite as the number of animals is restricted. NoD. This set is infinite as includes numbers > 119671. YesE. This is a finite set as restricted to 262597. No

Amy and Samiha have a hat that contains two playing cards, one ace and one king. They are playing a game where they randomly pick a card out of the hat four times, with replacement. Amy thinks that the probability of getting exactly two aces in four picks is equal to the probability of not getting exactly two aces in four picks. Samiha disagrees. She thinks that the probability of not getting exactly two aces is greater. The sample space of possible outcomes is listed below. A represents an ace, and K represents a king.

Required:
Who is correct, Amy or Samiha?

Answers

Answer:

Amy

Step-by-step explanation:

Samiha is correct.
if there’s fewer of something compared to something else, it’s less likely for those to picked.

The normal cruising speed of a certain airplane is about 260 m/sec. What is the speed in miles per hour? Round to the appropriate number of significant digits.

Answers

Answer: 582 miles per hour

Step-by-step explanation:

581.603 miles per hour

Round= 582

The speed of an airplane in miles per hour is 581.60 miles/hour.

What is unit conversion?

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.

Given the speed of an airplane  = 260 m/sec

Since,

1 mile = 1.60934 kilometer

1 km = 1000 meter

So,

1 mile = 1609.34 meter

1 m = (1/1609.34) mile

And,

1 hour = 360 seconds

1 s = (1/360)hour

So,

260 m/sec = 260 (3600/1609.34) miles/hour

⇒ 581.60 miles/hour.

Hence "The speed of an airplane in miles per hour is 581.60 miles/hour".

To learn more about unit conversion,

brainly.com/question/11543684

#SPJ2

Please can someone help much appreciated .

Answers

Answer:

23/6

Step-by-step explanation:

23

6

(5,-2)
Can someone help

Answers

Answer: (5, -2)

Step-by-step explanation: no question boss

Answer:

I can probably help but I don`t really understand what you`re asking. Put your question in the comments and I`ll do my best to answer!

The factory needs to stamp 4,320 parts. How many minutes will it take all 4 stamping machines to stamp 4,320 parts.
A. 10 minutes
B. 15 minutes
C. 45 minutes
D. 60 minutes

Answers

Answer: 15 minutes

Step-by-step explanation:

4 stamping machines in factory

1 stamping machine = 24 parts every 20 seconds

4 stamping machines = 96 every 20 seconds

4 stamping machine = 288 stamps per minute

4320 stamps divided by 288 cuts = 15 minutes

A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 550 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.02 cents per square centimeter. The top will be made of glued paper, costing 0.06 cents per square centimeter. Find the dimensions for the package that will minimize production cost.
Radius?
Height?
Minimum cost?

Answers

Answer:

Step-by-step explanation:556

What is the volume of the figure?

Answers

Answer: 1134 inches cubed

Please help ASAP
I really have no clue what I’m supposed to do so please help me!!

Answers

1/2=12, 1=24, 3=72, 4=96, 6 1/2=156

Answer:

below

Step-by-step explanation:

Each column represent the number of packages of pencils and the total number of pencils you would have.

So column 1 says 1/2 package of pencils and there are 24 pencils in that package so you have 12 pencils total not 24 like it says.

Column 2 says 1 package of pencils.  Since there are 24 pencils in a package, now you would have 24 pencils total.

Column 3 says 3 packages.  3 x 24 = 72 pencils total

Column 4 says 4 packages.  4 x 24 = 96 pencils total

Colum 5 says 6 1/2 packages.  6 x 24 = 144 and you know 1/2 of a package equals 12.  So 144 + 12 = 156 total pencils.

Help me with this please

Answers

Answer:

volume of a rectangular prism (v) = 64 cm³

Length (l) = 8 cm

width (w) = 4 cm

height (h) = ?

volume of a rectangular prism = Length × width × height

[tex]v = lwh \\ \\ h = \frac{v}{lw} \\ \\ h = \frac{64 \: {cm}^{3} }{8 \: cm \times 4 \: cm} = \frac{64 \: {cm}^{3} }{32 \: {cm}^{2} } \\ \\ \\ h = 2 \: cm[/tex]

I hope I helped you^_^

Hi, What is the area of this please?

Answers

Answer: 270 inches squared

angle W and angle Y are supplementary. If
the measure of angle W = 5x + 20 and the measure of angle Y = 4x - 11, find the measure of angle W
and Y

Answers

Answer: angle of w is 115 degrees and angle of y is 65 degrees.

Step-by-step explanation: in the picture.

Answer:

Angle W = 115° Angle Y = 65°

angle W and angle y are supplementary

that is angle W + angle Y = 180°

angle w = 5x + 20

angle y = 4x - 11

putting this value in above equation

we get

5x + 20 + 4x - 11 = 180

5x + 4x + 20 - 11 = 180.

9x + 9 = 180

9x = 180 - 9

9x = 171

x = 19

angle W= 5x + 20

= 5(19)+ 20

= 95 + 20

= 115°

angle y = 4x - 11

= 4(19) - 11

= 76 - 11

= 65

Which of the following statements best describes the solution to the problem below? -3/6 x (-3/8)

Answers

Answer:

Step-by-step explanation:

The answer is c the solution will be positive because there are two negative signs

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