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vlada-n [284]
2 years ago
8

A music website charges x​ dollars for individual songs and y dollars for entire albums. Person A pays $25.92 to download 6 indi

vidual songs and 2 albums. Person B pays $33.39 to download 4 individual songs and 3 albums. How much does the website charge to download a song? an entire album?
Please help! I need an explanation!!
Mathematics
1 answer:
Dominik [7]2 years ago
6 0

Answer:Amount charged for downloading individual songs = x dollars

Amount charged for downloading an entire album = y dollars

In respect to person A:

6x + 2y = 25.92

3x + y = 12.96

y = 12.96 – 3x

In respect to person B:

4x + 3y = 33.93

Putting the value of y from the first equation in the second, we get

4x + 3(12.96 – 3x) = 33.93

4x + 38.88 – 9x = 33.93

– 5x = – 4.95

x = 0.99 dollars

Putting the value of x in the first equation, we get

y = 12.96 – 3x

 = 12.96 – 2.97

 = 9.99 dollars

Step-by-step explanation:

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Irina18 [472]
The first step to solving this expression is to factor out the perfect cube
\sqrt[3]{m^{2}  n^{3} X n^{2}   }
The root of a product is equal to the product of the roots of each factor. This will make the expression look like the following:
\sqrt[3]{ n^{3} } \sqrt[3]{ m^{2} n^{2}  }
Finally,, reduce the index of the radical and exponent with 3
n\sqrt[3]{ m^{2} n^{2}  }
This means that the correct answer to your question is n\sqrt[3]{ m^{2} n^{2} } .
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8 0
2 years ago
Part ion even know of the hardest test
ladessa [460]

Given:

The equation of a line is:

y=-\dfrac{5}{7}x+2

A line passes through the point (-5,-3) and perpendicular to the given line.

To find:

The equation of the line.

Solution:

Slope intercept form of a line is:

y=mx+b                 ...(i)

Where, m is the slope and b is the y-intercept.

We have,

y=-\dfrac{5}{7}x+2          ...(ii)

On comparing (i) and (ii), we get

m=-\dfrac{5}{7}

We know that the product of slopes of two perpendicular lines is always -1.

m_1\times m_2=-1

-\dfrac{5}{7}\times m_2=-1

m_2=\dfrac{7}{5}

Slope of the required line is \dfrac{7}{5} and it passes through the point (-5,-3). So, the equation of the line is:

y-y_1=m_2(x-x_1)

y-(-3)=\dfrac{7}{5}(x-(-5))

y+3=\dfrac{7}{5}(x+5)

Using distributive property, we get

y+3=\dfrac{7}{5}(x)+\dfrac{7}{5}(5)

y+3=\dfrac{7}{5}x+7

y=\dfrac{7}{5}x+7-3

y=\dfrac{7}{5}x+4

Therefore, the equation of the line is y=\dfrac{7}{5}x+4. Hence, option A is correct.

4 0
3 years ago
There are 6 minutes of commercials for every 24 minutes of television. How many minutes of commercials are there in 1 hour and 3
mafiozo [28]

Answer:

16\ minutes

Step-by-step explanation:

For every 24\ minutes of television time of commercials = 6\ minutes

% of commercials \=frac{6}{24}\times 100=25\%

Now when time of television=1\ hour\ 36\ minutes=60+36=96\ minutes

25 \%\ of 96=\frac{25}{100}\times 96=\frac{96}{4}=16\ minutes

6 0
3 years ago
Find the focus and directrix of the parabola with the equation x² = -22y.
Bad White [126]

9514 1404 393

Answer:

  focus: (0, -5.5)

  directrix: y = 5.5

Step-by-step explanation:

The equation compares to the form ...

  x² = 4py

where 4p = -22   ⇒   p = -22/4 = -5.5.

The value of p is the distance from the vertex to the focus. The negative value means the focus is below the vertex at (0, -5.5).

The directrix is above the vertex by the same amount, so is y = 5.5.

6 0
3 years ago
The length of the diagonal of a rectangle is 181 inches.
egoroff_w [7]

Answer:

181 is the thing is what it says it is just find the volum

Step-by-step explanation:

5 0
3 years ago
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