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ANEK [815]
3 years ago
15

The johnsons pay $9.95 a month plus $.035 per min for local phone service. Last month, they paid $12.75. How many minutes of loc

al calls did they make?
Mathematics
2 answers:
Leona [35]3 years ago
3 0
  • Answer : The Johnson's  used 8 minutes of local calls.  
sergeinik [125]3 years ago
3 0

Answer:

Johnson's made 80 minutes of local calls

Step-by-step explanation:

The Johnson's pay $9.95 a month plus $0.035 per min for local phone service.

i.e. if Johnson's makes a local phone call for m minutes in a month then, monthly payment they have to make equals

$(9.95+0.035m)

Last month, they paid $12.75.

Let they made m minutes of local calls

then, 9.95+0.035m=12.75

0.035m=12.75-9.95

0.035m=2.8

m=2.8/0.035

m=80

Hence, Johnson's made 80 minutes of local calls

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11111nata11111 [884]

The cost of book has to be less than or equal to 26.39.

The amount of money Elena can buy has to be less than or equal to $30. Thus, the inequality sign to be used is the less than or equal to sign.

(1 + tax)cost of books + cost of bus fare ≤ value of the gift

1.08c + 1.5 ≤ 30

In order to determine the maximum cost of books, take the following steps:

Combine similar terms

1.08c  ≤ 30 - 1.5

Add similar terms together

1.08c  ≤ 28.50

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To learn more about taxes, please check: brainly.com/question/25311567

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2 years ago
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4 0
3 years ago
Use the cubic model y = 5a3 - 2a2 + a - 45 to find the value of y when x = 4.
Naddik [55]

Assuming 5a3 equals 5a^3, and the same for everything else, you would plug in 4 for a, so 5(4)^3 - 2(4)^2 + 4 - 45, which equals 247.

3 0
3 years ago
Which solution for z makes the equation true?? 10+10+z=40=10 (pls explain why. Thanks)
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Answer:

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8 0
3 years ago
Read 2 more answers
A wholesaler requires a minimum of 4 items in each order from its retail customers. The manager of one retail store is consideri
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Answer:

  • It is the last graph: solid line, shaded area over the line x = 2 - x/2

Explanation:

1) <u>Set the algebraigic expression that represents the combinations of sofa and pillow orders:</u>

  • Number of sofas: x (given)
  • Number of pillows: 2y (given, since they come in pairs)
  • Number of items = number of sofas + number of pillows = x + 2y
  • Minimum of 4 items in each order (given) ⇒ x + 2y ≥ 4

<u>2) Predict the graph of the inequality x + 2y ≥ 4</u>

  • The border line is the equation x + 2y = 4
  • You can choose two points to draw a line
  • Choose the axis-intercepst:

        x = 0 ⇒ 2y = 4 ⇒ y =4/2 ⇒ y = 2 ⇒ point (0,2)

        y = 0 ⇒ x = 4 ⇒ point (4,0)

        Then the lines goes through (0,2) and (4,0) ... [the four graphs meet this]

  • The shading area is above the line because when you solve for y you get y ≥   2 - x/2, and the line is included because the "equal to" part of the symbol (≥ means greater than or equal to).

  •  To state that the line is included the graph uses a continous line instead of a dotted one.

<u>3) Conclusion:</u>

That means that the correct graph is the last one: solid line, shaded area over the line y = 2 - x/2.

Note: a more detailed graph would include the fact that the items cannot be negative, i.e. x ≥ 0 and y ≥ 0, which would result in that the shaded area would be on the first quadrant.

   

5 0
3 years ago
Read 2 more answers
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