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leva [86]
4 years ago
11

Una escuela compró varios ejemplares del libro A, que cuesta $200.00, y del libro B, que cuesta $150.00. Compró en total 120 lib

ros y pagó $20,500.00 por ellos. ¿Cuántos ejemplares de cada libro compró
Mathematics
1 answer:
erma4kov [3.2K]4 years ago
3 0

Responder:

Copias del libro A = 50

Copias del libro B = 70

Explicación paso a paso:

Costo por libros A = 200

Costo por libro B = 150

Sea el número de libros A = x

Número de libros B = y

Número total de libros comprados = 120

Costo total = 20,500

x + y = 120 - - - (1)

200x + 150y = 20500 - - - (2)

De 1)

x = 120 - y

Sustituya x = 120-y en (2)

200 (120 - años) + 150y = 20500

24000 - 200y + 150y = 20500

24000 - 50y = 20500

-50 años = 20500 - 24000

-50y = - 3500

y = 70

x = 120 - y

x = 120 - 70

x = 50

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Step-by-step explanation:

multiply & add

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3 years ago
This year, a small business had a total revenue of $81,900 . If this is 26% more than their total revenue the previous year, wha
Tems11 [23]
$65000 was the total revenue for the previous year.
65000 x .26 = 16900
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8 0
4 years ago
Read 2 more answers
Consider a set of one-dimensional points: 6, 12, 18, 24, 30, 42, 48.
Vinvika [58]

Answer:

1) With initial centroids 10-40, final clusters are

first cluster (6,12,18,24,30)

second cluster (42,48)

And the Sum of Squared Errors (SSE) for the clustering result is 378

2) With initial centroids 10-20, final clusters are

first cluster (6,12,18,24)  

second cluster (30,42,48)

And the Sum of Squared Errors (SSE) for the clustering result is 348

Step-by-step explanation:

K-means works as follows

  • the points will be clustered according to their distance to the centroids.
  • Then centroids are updated as the cluster means.
  • This process continues until clusters doesn't change anymore

1)  <u><em>initial centroids</em></u> 10-40

first cluster (6,12,18,24)  mean:15

second cluster (30,42,48) mean:40

<u><em>new centroids</em></u> 15-40

first cluster (6,12,18,24,30) mean:18

second cluster (42,48) mean:45

<u><em>final centroids</em></u> 18-45

first cluster (6,12,18,24,30) mean:18

second cluster (42,48) mean:45

Sum of Squared errors = (18-6)^{2}+(18-12)^{2}+(18-18)^{2}+(18-24)^{2}+(18-30)^{2}+(45-42)^{2}+(45-48)^{2}=378

2)<u><em>initial centroids</em></u> 10-20

first cluster (6,12)  mean:9

second cluster (18,24,30,42,48)  mean:32.4

<u><em>new centroids</em></u> 9-32.4

first cluster (6,12,18) mean:12

second cluster (24,30,42,48) mean:36

<u><em>new centroids</em></u> 12-36

first cluster (6,12,18,24) mean:15

second cluster (30,42,48) mean:40

<u><em>final centroids</em></u> 15-40

first cluster (6,12,18,24) mean:15  

second cluster (30,42,48) mean:40

Sum of Squared errors = (15-6)^{2}+(15-12)^{2}+(15-18)^{2}+(15-24)^{2}+(40-30)^{2}+(40-42)^{2}+(40-48)^{2}=348

6 0
3 years ago
a right Triangle has one angle Measuring 90 degrees and another angle Measuring 30 degrees what is The Measure of The 3rd angle
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60 degrees cause triangles equal 180° and 90+30=120 and 180-120=60°
4 0
3 years ago
HELP ASAP!!! Question: Lisa wants to know how high a kite is flying. Her brother tells her that the string is 500 feet long whic
wariber [46]

Answer:

sin = opp/hyp

height  = opp side

hyp = length of string

sin65 = height / 500

multiply both sides by 500

500 * sin 65 = height

use calculator

453.153893518324982 = height

~ 453 feet

6 0
3 years ago
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