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SVEN [57.7K]
2 years ago
11

explain how the number of text messages Dario sent and the cost form an arithmetic sequence. Then write an expression to find Da

rio's text messaging bill if he sends N text messages over 250
Mathematics
2 answers:
Dovator [93]2 years ago
8 0
For less than or equal to 250 text messages Dario pays $5.00. After that, for every additional text message he pays $0.15.It means that the number of additional text messages ( n = 1, 2, 3, ... ) and the cost: ( c1 = $5.15,  c2 = $5.30,  c3 = $5.45, ... ) form an arithmetic sequence.An expression for the bill Dario must pay if he sends more than 250 text messages is:C = 5.00 + n · 0.15For example, if he has 260 text messages: 260 - 250 = 10C (260) = 5.00 + 10 · 0.15 = 5.00 + 1.50 = $6.50  
Mnenie [13.5K]2 years ago
6 0

Answer:

Step-by-step explanation:

Given that upto 250 messages Dario sent there is a fixed rate say C=5

i.e. even if Dario sends 1 message Dario has to pay C

After 250 messages for each additional message 0.15 has to be paid

This means for 251 , 5.15

252, 5.30

253, 5.45 and so on.

Hence this forms an arithmetic sequence with starting at 5 and common difference 0.15

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Mei likes to make desserts for bake sales. Last month, she made 2 batches of brownies and 3 batches of cookies, which called for
tino4ka555 [31]

Answer: she uses 2 eggs for one batch of brownies and 4 eggs for one batch of cookies.

Step-by-step explanation:

Let x represent the number of eggs that she uses for one batch of brownies.

Let y represent the number of eggs that she uses for one batch of cookies.

Last month, she made 2 batches of brownies and 3 batches of cookies. This means that

2x + 3y = 16 - - - - - - - - - -1

The month before, she baked 1 batch of brownies and 1 batch of cookies, which required a total of 6 eggs. This means that

x + y = 6 - - - - - - - - - - - - - 2

Multiplying equation 1 by 1 and equation 2 by 2, it becomes

2x + 3y = 16

2x + 2y = 12

Subtracting, it becomes

y = 4

Substituting y = 4 into equation 2, it becomes

x + 4 = 6

x = 6 - 4 = 2

7 0
3 years ago
Find the interior angles of a regular polygon which has 6, 10 and 20 sides​
andrew-mc [135]

Answer:

(6)=120°

(10)=72°

(20)=36°

Step-by-step explanation:

(n-2)×180°

(6-2)×180°=720°

6÷720°=120°

10÷720°=72°

20÷720°=36°

4 0
3 years ago
Please help! (Also show work)<br> Tutorials :D
oksano4ka [1.4K]

The five-number summary is:

Minimum: 9

First Quartile: 16.5

Median: 25.5

Third Quartile: 39

Maximum: 51

3. Range = 42

4. Interquartile range = 22.5

<h3>How to Find the Five-number Summary of a Data?</h3>

Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:

1. The numbers in ordered from the smallest to the largest would be:

9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51

2. The five-number summary for the lengths in minutes would be:

  • Minimum value: this is the smallest lengths, which is 9
  • First Quartile (Q1): this is the middle of the first half of the data set of the lengths in minutes, which is 16.5.
  • Median: the median is the center of the data distribution which is 25.5.
  • Third Quartile: this is the middle of the second half of the data set of the lengths in minutes, which is 39.
  • Maximum: this is the largest length in minutes, which is, 51.

3. Range of the data = max - min = 51 - 9 = 42

4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5

Interquartile range for the data set = 22.5

Learn more about the five-number summary on:

brainly.com/question/24809873

#SPJ1

6 0
1 year ago
an equilateral triangle and a regular pentagon have the same perimeter. Each side of the pentagon is 3 inches shorter than each
klemol [59]
The answer is 4.5 for the side length of the pentagon and 7.5 is the side length for the triangle because 7.5*3(3 sides) = 22.5 and 4.5*5(5 sides)= 22.5. The perimeter is 22.5
6 0
3 years ago
Evaluate f(2) for the function f(x) = 3x² + 2x - 5.
Softa [21]

Answer:

f(2)= 11

Step-by-step explanation:

you have to substitute 2 for every x you see:

                       f(x) = 3x² + 2x - 5

                       f(2)= 3(2)^2+2(2)-5

                       f(2)= 11

6 0
3 years ago
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