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tigry1 [53]
3 years ago
7

Astrid has a data plan through her cell phone company where she pays $49 a month for 5,000 kilobytes (KB) of data and $0.037 for

each additional KB over 5,000. To the nearest cent, how much would Astrid need to pay for her data plan if she used 6,978 KB of data?
Mathematics
1 answer:
Murrr4er [49]3 years ago
5 0

Answer: $122.19

Step-by-step explanation:

Hi, to answer this, first we have to calculate the additional KB that Astrid used:

KB used- KB limit=

6,978-5,000 = 1,978

Then, the cost of the plan is equal to a fixed fee (49) plus the product of the number of additional KB over 5,000(x) and the cost per KB (0.037).

Cost = 49+ 0.037 x

Substituting x =1,978

C = 49+ 0.037 (1,978)

C =49+73.186

C=$122.19

Feel free to ask for more if needed or if you did not understand something.  

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Answer:

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Step-by-step explanation:

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4 years ago
HELP PLZ DUR 11;59 plz help me
Norma-Jean [14]

Answer:

Base = 10 cm

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Step-by-step explanation:

The formula for the area of a triangle is  area=\frac{1}{2} *b*h , where <em>b</em> is the length of the base of the triangle, and <em>h</em> is the length of the height of the triangle.

We know the area is 300, and since the height of the triangle is 6 times its base, we know that h=6*b. We can plug in these values into our formula for the area of a triangle, which gives us the following equation to solve:

300=\frac{1}{2} *b*(6*b)

3b^2=300

b=\sqrt{100} =10

The base of the triangle is 10 centimeters.

Now that we know the base of the triangle, we can plug its value in to the original formula to solve for the height of the triangle, which gives us the following equation:

300=\frac{1}{2} *10*h

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5 0
3 years ago
14 2/3 + 1 7/9 - 11 14/29
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Step-by-step explanation:

3 0
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May someone solve and give explanation
torisob [31]

Answer:

x = 15.7945

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

Angle θ = 33°

Opposite Leg = <em>x</em>

Hypotenuse = 29

<u>Step 2: Find Angle</u>

  1. Substitute in variables [sine]:                                                                           sin33° = x/29
  2. [Multiplication Property of Equality] Multiply 29 on both sides:                    29sin33° = x
  3. Rewrite:                                                                                                             x = 29sin33°
  4. Evaluate:                                                                                                           x = 15.7945
7 0
3 years ago
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