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stepladder [879]
3 years ago
5

a web music store offers two versions of a popular song. the size of the standard version is 2.9 megabytes (MB). the size of the

high-quality version is 4.8 MB. yesterday, the high-quality version was downloaded four times as often as the standard version. The total size downloaded for the two versions was 6188 MB. How many downloads of the standard version were there?​
Mathematics
1 answer:
kenny6666 [7]3 years ago
8 0

Answer:

280 downloads

Step-by-step explanation:

-let x denote the number of standard version downloads.

-Given that the high-quality version was downloaded four times as often as the standard version it is denoted as 4x

-This can then be expressed as:

x(2.9)+4x(4.8)=6188\\\\2.9x+19.2x=6188\\\\22.10x=6188\\\\x=280

Hence, the number of standard version downloads is 280

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Sveta_85 [38]
I don’t understand your answerso you can be more specific?
7 0
3 years ago
Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 mill
abruzzese [7]

Answer:

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year

Step-by-step explanation:

Given that oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 million barrels of oil in the well; six years later 1,500,000 barrels remain.

i.e. if V stands for volume of oil, then

V' =kV\\dv/V= kdt\\ln V = kt+C\\V = Ae^{kt}

To find A and k

V(0) = A = 3 million

Hence V = 3e^{kt}

V(6) = 1.5

i.e. 1.5 = 3e^{6k}\\ln 1.5 =ln 3 +6k\\k = -0.11552

V(t) = 3e^{-0.11552t}

a) Using the above value of k , we have

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year.

4 0
3 years ago
Help due in 45 minutes!!
Nat2105 [25]

Answer:

(14,-1)

Step-by-step explanation:

okay so first you need to use the "x=4y+10" in the first equation.

Rewrite as

3(4y+10) +11y=7

Distribute the 3(4y+10)

Rewrite as

12y+30

You'll have the equation

12y +30 +11y= 7

Subtract the 7 from both sides

12y+30+11y-7= 0

Combine like terms

23y+23=0

the best thing to do here is divide the equation by 23.

23/23 = 1

you'll have

y + 1 = 0

this simplifies to

y= -1

use this y value to solve for x

the easiest way to do this is start with the equation

x = 4y +10

Substitute the y for -1

x = -4(-1) +10

x = 4 +10

x = 14

the solution point is

(14,-1)

3 0
3 years ago
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P = 8h.....where P stands for pay

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3 years ago
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A hole 8 feet deep because it’s down making it negative
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