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KIM [24]
3 years ago
15

A Web music store offers two versions of a popular song. The size of the standard version is 2.7 megabytes (MB). The size of the

high-quality version is 4.9 MB. Yesterday, there were 1440 downloads of the song, for a total download size of 5120 MB. How many downloads of the high-quality version were there?
Mathematics
1 answer:
mestny [16]3 years ago
3 0

Answer:

<u>There were 560 high-quality version downloads of the song yesterday</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Size of the standard version = 2.7 MB

Size of the high-quality version = 4.9 MB

Number of downloads of the song yesterday = 1,440

Download size yesterday = 5,120 MB

2. How many downloads of the high-quality version were there?

For answering the question we will use the following equation:

x = Number of high-quality downloads of the song yesterday

1,440 - x = Number of standard downloads of the song yesterday

Number of high-quality downloads of the song yesterday * Size of the high-quality version + Number of standard downloads of the song yesterday * Size of the standard version = Download size yesterday

Replacing with the real values, we have:

4.9x + (1,440 - x) * 2.7 = 5,120

4.9x + 3,888 -2.7x = 5,120

2.2x = 5,120 - 3,888

2.2x = 1,232

x = 1,232/2.2 = 560

x = 560 ⇒ (1,440 - x) = 880

<u>There were 560 high-quality version downloads of the song yesterday and 880 standard version.</u>

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AnnyKZ [126]

Answer:

The land area of Florida is 170,000\ mi^2

Step-by-step explanation:

Let

x -----> the land area of Alaska in square miles

y -----> the land area of Florida in square miles

we know that

The linear equation that represent this problem is equal to

y=\frac{1}{10}x ----> equation A

x=1,700,000 ----> equation B

substitute equation B in equation A and solve for y

y=\frac{1}{10}(1,700,000)=170,000\ mi^2

Remember that

Florida's land area is one-tenth the size of Alaska is the same as to say that Alaska's land area is ten times the size of Florida

8 0
3 years ago
Pls help due tomorrow just numbers 7 - 12
Luden [163]

Answer:

Step-by-step explanation:

7). 5.75% = \frac{5.75}{100} = \frac{575}{10000} = \frac{23}{400}

10). 16\frac{2}{3} % = \frac{50}{3} % = \frac{50}{300} = \frac{1}{6}

12). 79\frac{5}{6} % = \frac{479}{6} % = \frac{479}{600}

Now is you turn. You can do it!

8 0
3 years ago
Does anyone know the answer?
azamat

Answer:

1=163 degrees

2=×=10 degrees

3=×=3

Step-by-step explanation:

54x+1+9x-10=180 we are using this expression because alternate angles add up to 180 degrees

54x+9x+1-10=180

63x-9=180

63×=180+9

63×=189

63×÷63×=189÷63×

X=3

Angle in bold print is (54x+1)

54×3=162

162+1=163 degrees

No.2 Find x

7x+35+x+65 =180

7x+x+35×65=180

8x+100=180

8x=180-100

8x=80

8x÷8x=80÷8

X=10 degrees

No.3 Find x

54x+1+9x-10=180

54x+9x+1-10=180

63x-9=180

63x=180+9

63x=189

63x÷63x=189÷63

X=3

I hope I was of help

6 0
3 years ago
A cd usually sells for $12.00. If the cd is 10% off, and sales tax is 5%, what is the total price of the cd, including tax?
Kazeer [188]

Answer:

$11.34 Discounted Price Including Tax

Step-by-step explanation:

CD is $12.00

10 percent off of 12 dollars is:

12 x .10 = $1.2

12 - 1.2 = $10.8 WITHOUT TAX!!

5/100 = 0.05

0.05 x 10.8 = .54 (Tax itself)

10.8 (Discounted price) + .54 (Tax) = $11.34 Discounted Price Including Tax


5 0
3 years ago
5 times the sum of x and 6
Rina8888 [55]
You would start out with multiplying giving you 5(x+6). then you would have a product of 5x+30. hoped this helped!
7 0
3 years ago
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