the first term of a geometric series is 124. The sum to infinity is 64 . Find the common ratio​

Answers

Answer 1

9514 1404 393

Answer:

  -15/16  

Step-by-step explanation:

The sum of a geometric series with first term a1 is ...

  S = a1/(1 -r)

Then the common ratio (r) is ...

  r = 1 -a1/S

For the given values, the ratio is ...

  r = 1 - 124/64 = -15/16

The common ratio is -15/16.


Related Questions

Francis is saving money for a new kindle. she needs to save at least $200 to pay for it and has decided to save $25 per week from babysitting. how many weeks will it be before she can purchase the new kindle. show work please

Answers

Answer:

8 weeks

Step-by-step explanation:

to solve divide the total cost of kindle by the money she saves each week.

200÷25 is 8.

and to check you can multiply 25 x 8

2. Tanya is 15 years older than Sarah. In 3 years, the sum of their ages will be 41.
a) Write an expression for Tanya's age in terms of Sarah's age. Use S to represent Sarah's
current age
b) Write an expression for how old Tanya will be in 3 years, using the expression you wrote
for her age
c) Write an expression for how old Sarah will be in 3 years, using S to represent Sarah's
current age.
d) Write an equation that shows the sum of their future ages will be 42
e) Solve that equation to find Sarah's current age
f) What is Tanya's current age?

Answers

The correct answer is c
Hope this help.

Which pair of triangles below MUST be similar?

Answers

Answer:

i think is C

Step-by-step explanation:

Answer:

Its C

Step-by-step explanation:

Brain

Mrs. Wu uses a 25% off coupon to buy 1 adult ticket and 1 child ticket to a movie. She pays a total amount of $9.00. A child ticket without the coupon costs $4.00. Write an equation that can be used to find the cost of an adult ticket, x, without the coupon.

Answers

(x/75x100)-4
12-4=8 (if the final answer was needed)

Not the answer:

I have no idea, also when I tried the first answer... it said it was wrong...

Program:

the program was hmh

Becca is painting a birdhouse (rectangular prism) that has a height of 13cm, a width of 5 cm, and a length of 8cm. How much paint will she need if she only uses 1 coat? 26 sq. cm 0418 sq. cm 0 208 sq. cm​

Answers

Answer:coo

Step-by-step explanation:Cooke.

The amount of paint which will Becca need to paint the birdhouse in 1 coat is 418 cm².

What is surface area?

Surface area of any solid or the 3 dimensional body is the area of each faces by which the solid body is enclosed.

The surface area of rectangular prism can be given as,

[tex]SA=2(wl+hl+hw)[/tex]

Here, (w) is the width, (h) is the height and (l) is the length of the prism.

Becca is painting a birdhouse. The shape of the birdhouse is similar to rectangular prism with dimensions as, height of 13cm, a width of 5 cm, and a length of 8cm.

Now Becca wants to paint this house using 1 coat. As this paint has to be cover each surface of the house. Thus the amount of total paint should be equal to the surface area of the house.

Here, the dimensions of house is as, height of 13cm, a width of 5 cm, and a length of 8cm. Therefore the surface area of it is,

[tex]SA=2(5\times8+13\times8+13\times5)\\SA=418\rm cm^2[/tex]

Hence, the amount of paint which will Becca need to paint the birdhouse in 1 coat is 418 cm².

Learn more about the surface area here:

https://brainly.com/question/20771646

Sally bought a sofa for $450. It was marked 35% off. The sales tax is 8.5%. Find the total cost of the sofa.

Answers

Answer:

$170.89 I think

Step-by-step explanation:

Answer:

answer amswersmwkkw

Step-by-step explanation:

7%

Anyone know the right answer?!

Answers

Answer:

420000 here is the answer

Step-by-step explanation:

28000 multipli 15

What is the image point of (1, 4) after a translation left 5 units and down 3 units?

Answers

Answer:

(-4,1)

Step-by-step explanation:

for x you do:

1 - 5 = -4

for y you do:

4 - 3 = 1

so it is (-4,1)

30pts! im currently in the middle of taking the test :(
Rationalize the denominator of square root of negative 16 over open parentheses 1 plus i close parentheses plus open parentheses 6 plus 3 i . (6 points)

√-16

________

(1+i)+(6+3i)

Answers

Answer:

16 /65  +  28 i /65

Step-by-step explanation:

Answer:

16+28i over 65

Step-by-step explanation:

toot the test

a rhino can run at speeds at about 28 miles per hour, what is that number in feet per second, to the nearest whole number?

Answers

Answer:

41.066666666 feet per second

Step-by-step explanation:

Answer:

41 feet per second

Step-by-step explanation:

You make $5 an hour (h) at your job and are given a weekly bonus of $20. Write the equation showing your earnings (e) each week.
Translate into a linear equation

Answers

Answer:

5h+20=e

Step-by-step explanation:

Nathan is saving up to buy a new phone. He already has $90 and can save an additional $10 per week using money from his after school job. How much total money would Nathan have after 4 weeks of saving? Also, write an expression that represents the amount of money Nathan would have saved in w weeks.

Answers

Answer:

$130

Step-by-step explanation:

If Nathan already has $90 then you would add the amount of money collected after the 4 weeks. In each week he makes $10.

The equation would be $90+($10x4)= $X

All the seats in the theater are divided into 6 groups. There are 35 seats in each group. Using the variable s, write and solve a division equation to find how many seats there are in the theater.

HELP!

Answers

The answers should be 210

My math teacher didn't explain how to do this stuff and I've been struggling to understand what it is for like the past half hour. Please help. (sorry its a PDF there was no other easy way)

Answers

Answer:

I'm really not sure but my math teacher might have videos on how to do it its on you tube "Rampage videos"

Step-by-step explanation:

Mary bought more than 72 pencils to distribute to children at an orphanage. She packs these pencils in gift boxes.

If she packs 4 pencils each into x gift boxes, the inequality that represents this situation is
.

The simplified form of the inequality is

Answers

Answer:

4x≥=72

Step-by-step explanation:

1. Particularly, we have:

Given:

X: number of gift boxes

2. We then have to write the inequation that models the problem:

"Mary bought more than 72 pencils"

"She packs 4 pencils each into x gift boxes"

Finally we have:

4x≥=72, for the inequality that represent this situation.

When Simplfying (simplified form):

= x≥72/4

= x≥18

Answer:

 

4x > 72  

x > 18  

Step-by-step explanation:

8 times a certain number is added to 5 times a second number to give 184.the first number minus the second number is -3.find these number .​

Answers

Answer:

The numbers are 13 , 16

Step-by-step explanation:

First number be x

Second number be y

x - y = -3 --------------------(I)

x = -3 +y

8x + 5y = 184  ---------------(II)

substitute x = -3 + y in equation(I)

8*(-3 + y) + 5y = 184

-24 + 8y + 5y = 184

-24 + 13y = 184

         13y = 184 + 24

         13y = 208

            y = 208/13

y = 16

Plugin y = 16 in (I)

x - 16 = -3

      x = -3 +16

    x = 13

You feed your pet 1/4 cup of food each morning.
You do this for 5 days. How much total food have
you fed your pet after 5 days?

Answers

Answer:

1 1/4 cups

Step-by-step explanation:

you feed your dog 1/4 cups of food each day. You do this for five days. So we can set up an equation 5*1/4 = 1 1/4 cups.

1/5 = .25
.25*5= 1.25
1.25; 1 1/4

1 cup and 1/4ths of food

wHaTs Ur FaV tYlEr ThE cReAtOr SoNg? DoNt RePoRt Me BuT mY fAv SoNg iS eArFqUaKe :P

Answers

Answer:

so u jus gon bring me a birthday gift on my birthday to my birthday party on my birthday wit a birthday gift ?

Step-by-step explanation:

Answer:

Uh

Step-by-step explanation:

I dont know any of his songs

The student council is organizing a school fair. Council members are making signs to show the prices for admission and for each game a person can play. If the school admission is $2 and the price per game is 25 cents, Let x represent the number of games. Which expression can you use to determine the total amount (in dollars) a person pays for admission and playing x games?

Answers

Answer:

$2 + 0.25x

Step-by-step explanation:

The expression would be

Let us assume the x be the number of games

And the school admission is $2 plus the price of game is 25 cents

So, based on the above information

The expression to determine the total amount is

= $2 + 0.25x

what is 2+2(2)^2-3 ?????????

Answers

Answer: 7

Step-by-step explanation: All you do is simplify it so. 2+2(22)−3

=2+(2)(4)−3

=2+8−3

=10−3

=7

Answer:

7 or 3

Step-by-step explanation:

its 7 if the -3 isnt minus 3 isnt with the ^2

its 3 if it is with the ^2

Please help me I’m terrible with things like this!!!

Answers

In these equations, the value of y is 6/5 times the value of X

Please help with this

Answers

Answer:

[tex]f(x) = 100(1.05)^t[/tex]

Urgent please help..

Answers

Answer:

5.4

Step-by-step explanation:

First find the area of the square.

L times W

5 times 5=25

Now find the area of the cricle

A=[tex]\pi[/tex][tex]r^{2}[/tex]

Substitute pi with 3.14 and radius with 2.5

A= 3.14 times[tex]2.5^{2}[/tex]

A=3.14 times 6.25

A=19.625

Now substract the area of the square from the area of the circle

Your answer will be 5.375

The rounded answer will be 5.4

Write an equivalent expression. ​(x+5​)+4

Answers

Answer:

x+9

Step-by-step explanation:

if you expand...you could get x+9, which is the same as the given expression

Evaluate (3.2) to the second power.

Answers

Answer: 36

Step-by-step explanation: Did the quiz and got 100 :)

After you withdraw $35 from your checking account, the new balance is $260. Which equation shows the equation that could be used to find the balance on your account before the withdrawal?​

Answers

I think that it’s $260+$35=$295

In Game 2, your score started at 2 and doubled every time. Two expressions below represent your score after 12 hits.

Answers

Answer:

B and D on edg

Step-by-step explanation:

just did it

find the value of x and please show how

Answers

Answer:

x = 12°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

So,

39° + 53° + 4° + 7x = 180°

Add all the numbers on the left up.

96° + 7x = 180°

Subtract 96 from both sides.

7x = 84°

x = 12°

Hope this helps!

Answer: x= 12

Step-by-step explanation:

Triangle angle sum theorem says that the interior angles of a triangle sum to 180 degrees. Set the sum of all of these angles equal to 180 to solve. 39+53+ (4+7x) = 180. Combine like terms. 96 +7x = 180. Subtract 96 from both sides. 7x = 84. Divide both sides by 7. X = 12

PLEASE HELP QUICKLY!!

Answers

Answer:

79

Step-by-step explanation:

Sense all the lines are straight, and will never cross, then adjacent angles must always add up to 180 degrees. 3 and 4 are adjacent. Thus they must add up to 180. So set up as 101 + x = 180. x=180 - 101, and find that x = 79. Plug x back into check. 101 + 79 = 180. and 180= 180. The answer is 79 degrees.

m4 = 79 because 180 - 101 = 79

Can someone pls factor the trinomial
I will mark you as brainliest

Answers

I just took a picture of the answer.

I hope it was helpful!
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