Find 3 numbers in G.P whose sum is 28 and whose product is 512

Answers

Answer 1

Answer:

4, 8 and 16

Step-by-step explanation:

a/r ×a×ar =512

a^3 =512

a = cube root of 512

a=8

8/r+8+8r=28

8r^2+8=20r

8r^2-20r+8=0

8r^2-16r-4r+8=0

8r(r-2)-4(r-2)=0

(8r-4)(r-2)=0

r=2

8r=4

so r=2 or r=1/2

so of r is 2

8/2=4

and 8×2=16


Related Questions

Tony has $300 in his bank account. He takes out $10 each week for "W" weeks. After "W" weeks he has "D" dollars left in his bank account. Write an equation that represents the amount of money left in his bank account after "W" weeks.

Answers

Answer:

The Equation :

D = 300 - 10W

Step-by-step explanation:

We are told in the above question that:

Tony has $300 in his bank account. He takes out $10 each week for "W" weeks.

Where W = number of weeks

Our Equation is written as

Total amount in the bank account - $10 × W

= $300 - $10 × W

The Equation is given as

D = 300 - 10W

In equilateral triangles STU:

Answers

Answer:  B) 39

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

Explanation:

Equilateral triangles have three equal sides, ie the sides are all the same length.

Let's set sides ST and TU equal to each other and solve for x

7x-10 = 2x+25

7x-2x = 25+10

5x = 35

x = 35/5

x = 7

Then we use this to compute each side

ST = 7x-10 = 7*7-10 = 49-10 = 39TU = 2x+25 = 2*7+25 = 14+25 = 39US = x^2 - 10 = 7^2 - 10 = 49-10 = 39

Each side is 39 units long, so this confirms we have the correct answer.

The answer is b 39 pretty sure that’s correct

–65 ≥ –10+ u/ 2
pls help

Answers

Answer:

–65 ≥ –10+ u/ 2

-65+10≥u/2

-55×2≥u

-110≥u

Answer:

-110>or equal to u

hope it's helpful ❤❤❤

THANK YOU❤

The PTA is sponsoring an 8th grade
dance and has asked your help to
select a D.J. for the big event. You
called around and found that Dylan
the D.J. charges a $100 set-up fee plus
$17.50 per hour. Mya's MC Mobile hos a
$125.00 set-up fee, plus $10 per hour.
Which D.J. would you recommend to
the PTA? Be sure to clearly support
your recommendation mothemotically

Answers

It depends on how long the dance is expected to last.
100+17.50t = 125+10t
7.50t = 25
t = 3⅓ hours

Dylan costs less than Mya for up to three hours. For four or more hours, Mya will charge less than Dylan.

Kira ,Charlie , and Miguel have a total of $105 in their wallets . Kira has $9 less than Miguel. Charlie has 4 times what Miguel has . How much does each have ?

Answers

Let the money with Miguel be x.

Then :

Money with Kira = x - 9

Money with Charlie = 4x

Total money in their wallet = $105

This can be written in an equation as :

[tex] = \tt \: x + x - 9 + 4x = 105[/tex]

[tex] = \tt2x + 4x - 9 = 105[/tex]

[tex] = \tt 6x - 9 = 105[/tex]

[tex] = \tt6x = 105 + 9[/tex]

[tex] = \tt6x = 114[/tex]

[tex] = \tt x = \frac{114}{6} [/tex]

[tex] = \tt x = 19[/tex]

Which means :

Money with Miguel = $19

Money with Kira :

= 19 - 9

Thus, Kira has $10 in her wallet.

Money with Charlie :

= 4 × 19

= 76

Thus, Charlie has $76 in his wallet.

Therefore, Money with Kira = $10Money with Charlie = $76Money with Miguel = $19

Answer:

Let the money with Miguel be x.

Then :

Money with Kira = x - 9

Money with Charlie = 4x

Total money in their wallet = $105

This can be written in an equation as :

= \tt \: x + x - 9 + 4x = 105=x+x−9+4x=105

= \tt2x + 4x - 9 = 105=2x+4x−9=105

= \tt 6x - 9 = 105=6x−9=105

= \tt6x = 105 + 9=6x=105+9

= \tt6x = 114=6x=114

= \tt x = \frac{114}{6}=x=

6

114

= \tt x = 19=x=19

Which means :

Money with Miguel = $19

Money with Kira :

= 19 - 9

Thus, Kira has $10 in her wallet.

Money with Charlie :

= 4 × 19

= 76

Thus, Charlie has $76 in his wallet.

Therefore,

Money with Kira = $10

Money with Charlie = $76

Money with Miguel = $19

Anyone wanna be mutuals?

I’m 14, female, listen to The Arctic Monkeys and Mother Mother, I love the outdoors and art. I am fascinated by criminology and death.

Lmk :)

Answers

Answer:

I'm a girl too but you seem pretty cool lol I'm sure someone will be interested :D And I wish you the best of luck

Step-by-step explanation:

Answer:

me too!! do u like chase atlantic

Step-by-step explanation:

The table lists recommended amounts of food to order for 25 guests. Nathan is hosting a graduation party for 40 guests. There will also be guests stopping by for a short time. For ordering purposes, Nathan will count each of the 45 “drop-in” guests as half a guest. How much of each food item should Nathan order?
Fried Chicken 24 pieces
Deli Meats 3 2/3 pounds
Lasagna 10 3/4 pounds

Answers

Answer:

I think the answer is 2.3

The senior class at Clearville ISD is having a fundraiser to raise money for their prom. They are seling coupon books in the local community. The number currently sold by each of the students was used to create the box plot shown below. HHH 8 10 12 14 16 18 20 22 24 26 28 30 32 If one of the students calculated the mean of the data to be 14.5, would this be an appropriate mean? OA. Yes, the mean is appropriate. OB. There is not enough information to determine if the mean is appropriate. O C. No, the mean should be lower. OD. No, the mean should be higher. Reset Submit​

Answers

Answer:

The answer is D

Step-by-step explanation:

If you add them all, and divide them it wouldn’t get 14.5

Answer:

No, the mean should be higher.

Step-by-step explanation:

Have a good day :)

Stephanie and Jose both want to buy a skateboard. Stephanie has already saved $25 and plans to save $5 a week until she can buy the skateboard. Jose has $16 and plans to save $8 a week. How many weeks will it take for them to have the same amount of money and how much will they have?


(Also if u can pls type out ur answer like "10 weeks and $100" hehe)

Answers

Answer: 3 weeks and $40

Step-by-step explanation:

Let the number or weeks taken for them to have same amount be represented by x.

The information given in the question can be presented as an equation as:

Stephanie = 25 + 5x

Jose = 16 + 8x

We then equate them together

25 + 5x = 16 + 8x

25 - 16 = 8x - 5x

3x = 9

x = 9/3 = 3

The number of weeks is 3

The amount of money that they'll have will be:

= 25 + 5x

= 25 + 5(3)

= 25 + 15 = $40

multiply the following
(-7pq^2r^3) * (-13p^3q^2r)

Answers

Answer:

[tex]91p^{1+3q^{2r}}q^{2r^3}[/tex]

Step-by-step explanation:

  [tex](-7pq^2r^3) * (-13p^3q^2r)[/tex]

= 91[tex]p^{1+3q^{2r} }[/tex]*[tex]q^{2r^{3} }[/tex]

= [tex]91p^{1+3q^{2r}}q^{2r^3}[/tex]

NEED ANSWERS ASAP!! Find the value of X

Answers

i believe the answer is x=114

Answer:

x=114

Step-by-step explanation:

These are alternate exterior angles, so they are the same. And because 114-10=104, they are the same if x=114.

Find the value of: 0.0279 divided by 0.00009

Answers

Answer:

310 ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

Answer:

0.00000002

Step-by-step explanation:

A coin collection contains d dimes and q quarters worth a total of $50.

Which equation models this information?

d + q = 50

10d + 25q = 50

0.1d + 0.25q = 50

0.01d + 0.25q = 50

Answers

Answer:

0.1d + 0.25q = 50

Step-by-step explanation:

dimes are worth 10 cents so it's 0.1 and d represents the unknown amount

quarters are worth 25 cents so it's 0.25 and q represents the unknown amount

3x-2y=12 and 3x+5y=33

Answers

Answer:

x=6, y=3. (6, 3).

Step-by-step explanation:

3x-2y=12

3x+5y=33

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

-3x+2y=-12

3x+5y=33

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

7y=21

y=21/7=3

3x-2(3)=12

3x-6=12

3x=12+6

3x=18

x=18/3=6

Juan thinks that the graph of 6y + 12x = 4 is a line. a. Solve Juan’s equation for y.

Answers

The lines slope is negative 2 so it would be y=-2x+4/6

The equation of the line in the slope-intercept form will be y = 2/3 - 2x.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Juan thinks that the graph of 6y + 12x = 4 is a line.

Solve the equation of the line for y, then we have

6y + 12x = 4

6y = 4 - 12x

y = 4/6 - (12/6)x

y = 2/3 - 2x

The equation of the line in the slope-intercept form will be y = 2/3 - 2x.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2



During the last schools football game, the Home Team scored 13 more points than the Visiting

denm. The total of their scores was 47. How many points did each team score?

Answers

Answer:  

Home 30, visitor 17.

Step-by-step explanation:

Visiting team score is x. Home score is then x+13. Total of both is 47 so...

x+(x+13)=47

2x+13=47

2x-34

x=17

x+13=30

The score of  Home Team is 30 points.

The score of Visiting team is 17 points.

Here,

During the last schools football game, the Home Team scored 13 more points than the Visiting team.

The total of their scores was 47.

We have to find points of each team score.

What is Number system?

A number system is a system representing numbers. It is also called the system of numeration.

Now,

Let Visiting team score x points.

Then, Home team score is 13 more points than the Visiting team.

Home team score x + 13 points.

The total of their scores was 47.

Hence,

x + (x + 13) = 47

2x + 13 = 47

2x = 47 - 13

2x = 34

x = 17

So, The score of Visiting team is 17 points.

And, The score of  Home Team = 17 + 13 = 30 points.

Learn more about the number system visit:

https://brainly.com/question/17200227

#SPJ2

Please explain how you got the answer. Don’t just tell me the answer

Answers

Answer: (4 3/5) x (3 1/2)

23/5  (3 1/2)

23/5 (7/2)

161/10 =

your answer is 16 1/10

Step By-step explanation:

I NEED HELP QUICK QUICK HELP (If you answer just for the point i will report you)

Answers

Answer:

1.Neither

2.Discrete

3.Discrete

4. Continuous

Step-by-step explanation:

Discrete Data can only take certain values. The number of students in a class

We can't have half a student!

1. The graph in option 1 is Neither.

2. The graph in option 2 is discrete.

3. The graph in option 3 is discrete.

4. The graph in option 4 is continuous.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. In discrete mathematics, and more specifically in graph theory.

A graph is a structure consisting of a set of objects, some of which are "related" in some way. The objects correspond to mathematical abstractions known as vertices, and each pair of related vertices is known as an edge.

1. The graph in option 1 is Neither. It is not discrete and continuous.

2. The graph in option 2 is discrete. The values of the data are not in a specific pattern.

3. The graph in option 3 is discrete. The values of the data are not in a specific pattern.

4. The graph in option 4 is continuous. The points in the graph are varying continuously.

To know more about the graph follow

https://brainly.com/question/19040584

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-2y+6=-12
What does y equal?

Answers

Answer:

y = 9

Step-by-step explanation:

-2y+6=-12

subtract 6 on both sides: -2y=-18

divide both sides by -2: y=9

Answer:

[tex]y = 9[/tex]

Step-by-step explanation:

1) Subtract 6 from both sides.

[tex] - 2y = - 12 - 6[/tex]

2) Simplify -12-6 to -18.

[tex] - 2y = - 18[/tex]

3) Divide both sides by -2.

[tex]y = \frac{ - 18}{ - 2} [/tex]

4) Two negative makes a positive.

[tex]y = \frac{18}{2} [/tex]

5) Simplify 18/2 to 9.

[tex]y = 9[/tex]

So, Yherefor, the answer is, y = 9.

Use the midpoint formula to estimate the sales of Cars, Inc. in 2009, given the sales in 2008 and 2010. Assume that the sales of Cars, Inc. sales always follow a linear pattern. (Round to nearest whole number) Year Sales (in millions) 2008 240 2010 280 millions Enter the answer​

Answers

Answer:

The estimated sales were $260 million

Step-by-step explanation:

Assume the endpoints of a segment are (x1,y1) and (x2,y2).

The midpoint (xm,ym) is calculated as follows:

[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]

[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]

The sales ov Cars, Inc. were (2008,240 million) and (2010,280 million). We need to use the midpoint to estimate the sales in 2009:

[tex]\displaystyle x_m=\frac{2008+2010}{2}=2009[/tex]

[tex]\displaystyle y_m=\frac{240+280}{2}=260[/tex]

The estimated sales were $260 million

Decide if the following statement is valid or invalid.

If it is sunny this week, then we will go to the park. We went to the park today, so it is sunny .

True or False

Answers

Answer:

the answer is false

Step-by-step explanation:

just cause it is

Pls help i need this quickly ill give brainliest
factor the following completely: x^3*y^2-x^2*y^3

Answers

Answer:

Step-by-step explanation:

x³y² = x * x * x * y * y

x²y³ = x * x     * y  *y * y

GCF = x * x * y * y = x²y²

x³y² - x²y³ = x²y² ( x - y)

Answer right to get points

Answers

Answer:

C) -1 7/12

Step-by-step explanation:

-6 1/3 divided by 4=-19/12

reduce:

-1 7/12

SOMEONE PLEASE HELP ToT ill make u brain

Answers

Answer:

43

Step-by-step explanation:

18 + 4x - 3

18 + 4(7) - 3

18 + 28 - 3

46 - 3

43

You will plug 7 in the x place since x = 7. Hope this helps, thank you !!

Answer:

18 + 28-3 is 43.

Step-by-step explanation:

4x7 28 that's how I did it

I need help on these two questions please

Answers

Answer:

For #1=     D = 24.25     #2=       D= 21

Step-by-step explanation:

hope this helps. pls mrk me branliest :)

Answer:

1)24.25

2)21

Step-by-step explanation:

1) (a/4)^2=(20/4)^2=25

b/2/8=6/8=3/4

25-3/4

=100/4-3/4

=97/4

=24.25

2)2(x-y)^2=2(3)^2=18

x-y=3

=18+3

=21

Hope this helps!

the quotient of a number y and 2 When y equals 6

Answers

Answer:3

Step-by-step explanation:

y/2 is what we need. If y is 6. Then 6/2=3.


[tex]3x + 6[/tex]
What is the GCF ? ( greatest common factor ) ​

Answers

Three is the greatest common factor

15, α) Να λύσετε την εξίσωση: 12x – 11 = 3

Answers

Answer:

x = 7/6

Step-by-step explanation:

12x - 11 = 3

12x = 3 + 11

12x = 14

12x/12 = 14/12

x = 14/12

x = 7/6

What is the simplified expression of (2x -8) + (3x-2)

Answers

Answer:

5x-10

Step-by-step explanation:

Answer:

5x-10

Step-by-step explanation:

You can add the x together, 2+3 is 5 so we have 5x.

The you add the other numbers, -8+-2 is -10.

You then can put the addition in, and have 5x+-10. Since 10 is a negative, there's no need to put the addition sign, so 5x-10 would be the answer.

Simplify the expression -3/5( -8 + 5/9x - 3)

Answers

Answer:

the ans is in the picture with the steps hope it helps

(can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

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