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TiliK225 [7]
3 years ago
10

A seven digit phone number consists of a three-digit prefix followed

Mathematics
1 answer:
Svetlanka [38]3 years ago
4 0

10000 different phone numbers are possible for a  particular prefix if repetion of digits is allowed

5040 different phone numbers are possible for a  particular prefix if repetion of digits is not allowed

<em><u>Solution:</u></em>

Given that,

A seven digit phone number consists of a three-digit prefix followed  by four digits

We have to find the different phone numbers are possible for a  particular prefix

For a paricualr prefix, there are four digits

Total numbers from 0 to 9 are 10

Therefore,

Different ways for phone number for particular prefix:

If repetition is allowed:

Different ways = 10 x 10 x 10 x 10 = 10000 ways

If repetition is not allowed then:

Different ways = 10 x 9 x 8 x 7 = 5040 ways

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Step-by-step explanation:

every flip has 2 possible outcomes.

1 flip has 2.

2 flips have 2×2 = 2² = 4

3 flips have 2×2×2 = 2³ = 8

and so on.

the number of possible combinations flipping a coin n times is

C(n) = 2^n

for 10 flips

C(10) = 2¹⁰ = 1024

possible outcomes or combinations.

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Answer:

65+30x

Step-by-step explanation:

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3 years ago
Kaitlin, Tony, and Austin sent a total of 103 text messages over their cell phones during the weekend. Austin sent 4 times as ma
emmainna [20.7K]

The number of messages Kaitlyn, Tony and Austin sent are 13, 18 and 72 messages respectively.

<h3>How to write and solve equation?</h3>

let

  • Number of messages Kaitlyn sent = x
  • Number of messages Tony sent = x + 5
  • Number of messages Austin sent = 4(x + 5)
  • Total messages = 103

103 = x + (x + 5) + 4(x + 5)

103 = x + x + 5 + 4x + 20

103 = 6x + 25

103 - 25 = 6x

78 = 6x

x = 78/6

x = 13

Number of messages each sent:

Number of messages Kaitlyn sent = x

= 13 messages

Number of messages Tony sent = x + 5

= 13 + 5

= 18 messages

Number of messages Austin sent = 4(x + 5)

= 4(13 + 5)

= 4(18)

= 72 messages

Learn more about equation:

brainly.com/question/2972832

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Which rational number equals 0.333...? 1 over 5, 1 over 3, 3 over 10, 3 over 5
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Answer:

1/3

Step-by-step explanation:

let x=0.333...

10x=3.333...

subtract

9x=3

x=3/9=1/3

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Fred solved the equation 8(3x – 7) = -6(x + 7) + 4 as shown.
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Answer: He added 4 to a negative 42 and said it was 46 but its supposed to simplify to -38. X=3/5

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