How to make an equation that goes up multiplying by three?

A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the

SashulF [63]

Answer:

There were 440 Standard version of songs downloaded in Web music store.

Step-by-step explanation:

Given,

Total number of songs downloaded = 1310

Total size of the downloaded songs = 4752 MB

Size of standard version of song = 2.1 MB

Size of high quality version of song = 4.4 MB

Solution,

Let the number of standard version of song be 'x'.

And also let the number of high quality version of song be 'y'.

Now, total number of songs is the sum of total number of standard version of song and total number of high quality version of song.

On framing the above sentence in equation form, we get;

$x+y=1310\ \ \ \ \ equation\ 1$

Now, Total size of the downloaded songs is the sum of total number of standard version of song multiplied with size of standard version of song and total number of high quality version of song multiplied with size of high quality version of song.

On framing the above sentence in equation form, we get;

$2.1x+4.4y=4752$

Multiplying with 10 on both side, we get;

$10(2.1x+4.4y)=4752\times10\\\\21x+44y=47520\ \ \ \ equation\ 2$

Now multiplying equation 1 by 21, we get;

$21(x+y)=1310\times21`\\\\21x+21y=27510\ \ \ \ equation\ 3$

Now subtract equation 3 from equation 2, we get;

$(21x+44y)-(21x+21y)=47520-27510\\\\21x+44y-21x-21y=20010\\\\23y=20010\\\\y=\frac{20010}{23}\\\\y=870$

On substituting the value of y in equation 1, we get the value of x;

$x+y=1310\\\\x+870=1310\\\\x=1310-870=440$

Hence There were 440 Standard version of songs downloaded in Web music store.

7 0

3 years ago

Use the unit circle to evaluate these expressions:

sergeinik [125]

Answer:

a) We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to $2\pi$ :

$17 \pi/4 - 2\pi = \frac{9\pi}{4} -2\pi = \pi/4$

For this case we know that $sin (\pi/4) = \frac{\sqrt{2}}{2}$

So then $sin(\frac{17 \pi}{4}) = \frac{\sqrt{2}}{2}$

b) We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to $2\pi$ :

$19 \pi/6 - 2\pi = \frac{7\pi}{6}$

For this case we know that $cos (\pi/6) = \frac{\sqrt{3}}{2}$

And we know that $\frac{7\pi}{6}$ is on the III quadrant since is equivalent to 210 degrees. And on the III quadrant the cosine is negative. So then $cos(\frac{19 \pi}{6}) = -\frac{\sqrt{3}}{2}$

c) For this case that any factor of $\pi$ the sin function is equal to 0.

So from definition of tan we have this:

$tan (450\pi) = \frac{sin(450 \pi)}{cos(450 \pi)}= \frac{0}{cos(450\pi)}= 0$

Step-by-step explanation:

a. sin (17pi / 4 )

We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to $2\pi$ :

$17 \pi/4 - 2\pi = \frac{9\pi}{4} -2\pi = \pi/4$

For this case we know that $sin (\pi/4) = \frac{\sqrt{2}}{2}$

So then $sin(\frac{17 \pi}{4}) = \frac{\sqrt{2}}{2}$

b. cos (19pi / 6 )

We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to $2\pi$ :

$19 \pi/6 - 2\pi = \frac{7\pi}{6}$

For this case we know that $cos (\pi/6) = \frac{\sqrt{3}}{2}$

And we know that $\frac{7\pi}{6}$ is on the III quadrant since is equivalent to 210 degrees. And on the III quadrant the cosine is negative. So then $cos(\frac{19 \pi}{6}) = -\frac{\sqrt{3}}{2}$

c. tan(450pi)

For this case that any factor of $\pi$ the sin function is equal to 0.

So from definition of tan we have this:

$tan (450\pi) = \frac{sin(450 \pi)}{cos(450 \pi)}= \frac{0}{cos(450\pi)}= 0$

4 0

3 years ago

SOMEONE HELP ME PLEASE AND THANK YOU!!!!! :D :"(

Nostrana [21]

Answer:

what are the drop down words.

6 0

2 years ago

Please please help and explain!

artcher [175]

Answer:

440 Meters

Step-by-step explanation:

The question asks what his altitude was at the beginning, the beginning is the y-intercept and the y-intercept is 440 according to this graph so that's why the answer is 440.

8 0

3 years ago

When finding the unit rate, the words per and each tell us what unit of measure needs to equal ONE. True or False

alexgriva [62]

Answer:

false

Step-by-step explanation:

6 0

3 years ago

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