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victus00 [196]
3 years ago
7

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

Mathematics
1 answer:
zalisa [80]3 years ago
7 0

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.

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1. If a bicycle wheel has a diameter of 15 in. How far will the wheel rotate in 10 rotations?​
WARRIOR [948]

Answer:

150 pi inches or 471.239 inches traveled

Step-by-step explanation:

First, close your eyes, and think about the distance a bike travels after one rotation of the wheel.

You will come to the realization that a full rotation of the wheel makes you travel the circumference of the wheel

The formula for circumference is 2(pi)(r) or (pi)(diameter)

We are given diameter, so let's find distance traveled for one rotation

pi(15 inches) = 15pi inches per rotation.

There are 10 rotations, so:

(15pi inches/rotation)(10 rotations) = 150pi inches travelled

150 x pi = 471.239 inches traveled

4 0
3 years ago
Write the ratio 28 to 56 in simplest form
Andre45 [30]
The ratio shown in fraction form would be; \frac{28}{56}

Now to convert it to its simplest form, you need to find their greatest common factor; (so in this case it would be 28...cause 28 goes into 56 evenly)
*Now divide both terms by 28

28 ÷ 28 = 1
56 ÷ 28 = 2
 
so your ratio 28 to 56 in simplest form is.. \frac{1}{2}
Hope this helps :)
6 0
3 years ago
Read 2 more answers
PLEASE HELP
Zielflug [23.3K]

Answer:

  • x = 4
  • WX = WY = 25
  • XY = 17

Step-by-step explanation:

The triangle is isosceles with side WX equal to side WY:

  WX = WY

  9x -11 = 7x -3

  2x = 8 . . . . . add 11-7x

  x = 4

Then the side measures are ...

  WX = WY = 7(4) -3 = 28 -3 = 25

  XY = 4(4) +1 = 16 +1 = 17

5 0
2 years ago
Daniel's tennis team made $582.85 from running the concession stand at a basketball game. The food and drinks cost the team $64.
Flura [38]

Let x be the number of members in Daniel's tennis team.

The amount made = $582.85

Expenses (food and drinks) = $64

Balance remaining for sharing = 582.85 - 64 = $518.85

Amount received by each player = (amount made - Expenses) / Number of members = 518.85/x

8 0
3 years ago
Read 2 more answers
Select all of the quotients that have the same value as 5.04 divided by 7
defon

Answer: 2 and 4

Step-by-step explanation: the quick way is by dividing all the answer options

6 0
3 years ago
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