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Firdavs [7]
3 years ago
15

Daniel is choosing between two cellphone plans. "Plan A" charges $80 per month, which includes unlimited text messaging. "Plan B

" costs $20 per month plus $0.15 per text message.
What is the system of equation that represents the fees of both "Plan A" and "Plan B"? Identify what your variables represent.
Mathematics
2 answers:
olasank [31]3 years ago
7 0

Answer: if i were u i would choose plan A

Step-by-step explanation: because what is the use of paying $20 per month plus $0.15 per message?

sertanlavr [38]3 years ago
3 0

Answer:

Plan A:

C = $80

C = cost

Plan B:

C = 0.15t + 20

C = cost; t = amount of text messages

Step-by-step explanation:

Let C = cost.

Let t = amount of text messages.

<u>Plan A:</u>

C = $80

<u>Plan B:</u>

C = 0.15t + 20

If the next question asks for you to solve when Plan B will be equal to Plan A, set the two equations equal to each other.

80 = 0.15t + 20

Isolate the variable, t. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 20 from both sides.

80 (-20) = 0.15t + 20 (-20)

80 - 20 = 0.15t

60 = 0.15t

Divide 0.15 from both sides.

(60)/0.15 = (0.15t)/0.15

60/0.15 = t

t = 400

Those who use Plan B must send at least 400 text message to have the same price as Plan A.

~

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Can’t figure out number 10
Ivanshal [37]

Answer:

r = 15 1/6

Step-by-step explanation:

change every thing to have a 6 in the denominator

31/6 = 5 1/6

60/6 = 10

add the 31/6 to both sides to get the r by itself

60/6 + 31/6 = 91/6

r = 15 1/6

8 0
4 years ago
On a particular day, 112 of 280 passengers on a particular DTW-LAX flight used the e-ticket check-in kiosk to obtain boarding pa
Sonja [21]

Answer:

0.2348 = 23.48% probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

Step-by-step explanation:

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Population of 280, which means that N = 280

112 use e-ticket check-in kiosk, which means that k = 112

Sample of eight passengers means that n = 8

Find the approximate hypergeometric probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

This is P(X = 4). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 4) = h(4,280,8,112) = \frac{C_{112,4}*C_{168,4}}{C_{280,4}} = 0.2348

0.2348 = 23.48% probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

3 0
3 years ago
Need help with one and two
adoni [48]

Answer:

(1) is a function, surjective aka onto,

not bijective aka one to one.

domain is {3,6,12,14,20,22},

range is {4,15,8,11}. More elements in domain means it can't possibly be one to one.


(2) is a relation but not a function, although its inverse is a function. There are fewer elements in the domain than the range, so a function could not be onto but would have to be into or injective.


The relation you get by restricting the domain to {1,19} is a function, injective, so that the image of the domain is a proper subset of the range.


7 0
3 years ago
Which one is the nth term if a1=15 and d= -3​
levacccp [35]

Answer:

nth term = 18 - 3n

Step-by-step explanation:

nth term = a + (n - 1)d

a1 = 15

d = -3

nth term = a + (n - 1)d

= 15 + (n - 1)-3

= 15 + (-3n + 3)

= 15 - 3n + 3

= 18 - 3n

nth term = 18 - 3n

For instance, if you want to find the 10th term

nth term = 18 - 3n

10th term = 18 - 3(10)

= 18 - 30

= -12

10th term = -12

8 0
3 years ago
Industrialization is one of the factors leading to damage of natural resources TRUE OR FALSE
Nesterboy [21]

Answer:

true

Step-by-step explanation:

In order to support the industrial revolution, many natural resources like coal and oil were used up very quickly due to the sudden boom of business which industrialization brought forth.

7 0
4 years ago
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