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matrenka [14]
3 years ago
11

music magic offers live streaming for $9.99 a month with downloads at $0.50 a song. You have $30 a month budgeted for this servi

ce. The equation 0.5s+ 9.99=30 describes the situation. The solution to this equation is s=40.02. Explain what this means in terms of service.
Mathematics
1 answer:
marin [14]3 years ago
8 0

Step-by-step explanation:

The equation 0.5s+ 9.99=30 describes the situation.

9.99 is the fixed amount

0.5 is the cost for each song download

30 is the maximum amount spend for a month

Here 's' represents the number of songs download

0.5s+ 9.99=30 means

0.5 times the number of songs plus the fixed cost 9.99 should be equal to 30 dollars.

The solution to this equation is s=40.02.

s= 40.02  means 40 songs can be downloaded as per the budget

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Which shows the expressions in the order they would appear on a number line from least to greatest?
Ganezh [65]
2^3 = 8
11/9 = 1.22
sqrt 5 = 2.24
sqrt 20 = 4.47
sqrt 11 = 3.32

least to greatest : 11/9, sqrt 5 , sqrt 11 , sqrt 20, 2^3
7 0
3 years ago
Rearrange the formula I = √P/R for R.
katrin2010 [14]

Answer:

A) R = P/I²

Step-by-step explanation:

I = √P/R

Square each side

I^2 = (√P/R)^2

I^2 = P/R

Multiply each side by R

I^2R =P/R * R

I^2R = P

Divide by I^2

I^2R / I^2 = P/ I^2

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3 years ago
Solve for x.<br>this is for the k12 test.​
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Answer:

d

Step-by-step explanation:

3 0
2 years ago
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7.1.35-T Question Help You are the operations manager for an airline and you are considering a higher fare level for passengers
shusha [124]

Answer:

You must survey 784 air passengers.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Assume that nothing is known about the percentage of passengers who prefer aisle seats.

This means that \pi = 0.5, which is when the largest sample size will be needed.

Within 3.5 percentage points of the true population percentage.

We have to find n for which M = 0.035. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.035 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.035\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.035}

(\sqrt{n})^2 = (\frac{1.96*0.5}{0.035})^2

n = 784

You must survey 784 air passengers.

6 0
3 years ago
Find m/KMN. L 60° K 1⁰40 6x (11x+15)° N​
miskamm [114]

Answer:

  114°

Step-by-step explanation:

The exterior angle is the sum of the remote interior angles.

__

<h3>setup</h3>

  (11x +15)° = 60° +6x°

<h3>solution</h3>

  5x = 45 . . . . . . . . . divide by °, subtract 15+6x

  x = 9 . . . . . . . . . . divide by 5

The measure of exterior angle KMN is ...

  m∠KMN = (11(9) +15)° = 114°

_____

<em>Additional comment</em>

Both the sum of interior angles and the sum of angles of a linear pair are 180°. If M represents the interior angle at vertex M, then we have ...

  60° +6x° +M = 180°

  (11x +15)° +M = 180°

Equating these expressions for 180° and subtracting M gives the relation we used above:

  (11x +15)° +M = 60° +6x° +M . . . . . equate the two expressions for 180°

  (11x +15)° = 60° +6x° . . . . . . . . . . . subtract M

This is also described by "supplements to the same angle are equal."

4 0
2 years ago
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