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RideAnS [48]
2 years ago
6

6 is a Natural, Whole, and Integer number, True or false

Mathematics
1 answer:
KengaRu [80]2 years ago
8 0

Answer:

This is true!

Step-by-step explanation:

It is natural because it is a positive integer greater than 0, it's whole because its not negative and it is an integer.

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On a typical long distance call you talk for 30 minutes. On a typical local call you talk for 10 minutes. Your phone company off
klio [65]

The number of long distance calls to be made can be obtained by linear programming

  • To minimize the phone bill, the number of long distance call to be made is none

Reason:

Maximum number of number of long distance calls = 15

Maximum number of local calls = 30

Number of minutes of calls to make each month = 240 minutes

Duration of each long distance call = 30 minutes

Duration of each local call = 10 minutes

Cost of long distance call = $0.08

Cost of local call = $0.03

Solution:

Let <em>X</em>, represent the number of long distance calls, and let <em>Y</em> represent the number local calls

The objective function is given as follows;

  • P = 0.08·(30)·X + 0.03·(10)·Y

P = 2.4·X + 0.3·Y

The constraints are;

X ≥ 0

Y ≥ 0

X ≤ 15

Y ≤ 30

30·X + 10·Y ≥ 240

Solving we have;

  • Y ≥ 24 - 3·X

The above inequality can be plotted with MS Excel

From the objective function, P = 2.4·X + 0.3·Y, the coefficient of the long

distance calls, <em>X</em> is larger than the coefficient of the local calls <em>Y</em>, therefore,

making the minimum possible number of long distance calls of 0, and 24

local calls will give a cost;

  • P = 2.4 × 0 + 0.3 × 24 = 7.2

Therefore, to minimize the phone bill, the number of long distance calls to

be made is <u>zero long distance calls</u>

Learn more about linear optimization here:

brainly.com/question/21491539

5 0
2 years ago
Noah and his friends are going to an amusement park. The total cost of admission for 8 students is $100, and all students share
maria [59]

Answer:

Yes, Noah did bring enough money.

Step-by-step explanation:

$100/8 student is $12.5, so each students admission costs $12.5 and Noah brough $13 so he will have 50 cents left after paying his entry fee

8 0
2 years ago
the distance from a star to a planet is approximately 98,000,000 miles. if the light travels at a rate of 186,000 miles per seco
nadya68 [22]
It will take 526.8817.... seconds for the light to reach the planet.
3 0
3 years ago
Why is it important to have high<br> quality audio files
Sever21 [200]

Answer:

TO HEAR BETTER

Because as quality increases the tone increases

6 0
2 years ago
Read 2 more answers
A bag contains 80 marbles: 40 are red, 20 are blue, and 20 are black. what is the probability of selecting a red or blue marble
DedPeter [7]
40 % out of 80 for red
20% out of 80 for blue
4 0
2 years ago
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