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ziro4ka [17]
3 years ago
15

A Web music store offers two versions of a popular song. The size of the standard version is 2.4 megabytes (MB). The size of the

high-quality version is 4.8 MB. Yesterday, the high-quality version was downloaded twice as often as the standard version. The total size downloaded for the two versions was 2880 MB. How many downloads of the standard version were there?
Mathematics
1 answer:
mina [271]3 years ago
5 0
X = standard and y = high quality

2.4x + 4.8y = 2880
y = 2x

2.4x + 4.8(2x) = 2880
2.4x + 9.6x = 2880
12x = 2880
x = 2880/12
x = 240 <== there were 240 standard version downloads

y = 2x
y = 2(240)
y = 480...there were 480 high quality version downloads
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A blimp travels 255 feet in 1/2minute, 510 feet in 1/6 minute, and 3,060 feet in 1 minute.
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Answer:

We conclude that there is NOT a proportional relationship between the distance the blimp travels and the time it travels.

Step-by-step explanation:

We know if y varies directly with x, we get the equation

y ∝ x

y = kx

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where k is called the constant of variation.

In our case we are given:

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  • A blimp travels 255 feet in 1/2minute.

here:

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so substituting y = 255 and x = 0.5 in the equation

k = y/x

k = 255 / 0.5

k = 510

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here:

y = 510 , and x = 1/6

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k = y/x

k = [510] / [1/6]

k = 3060

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here

y = 3,060, and x = 1

so substituting y = 3,060 and x = 1 in the equation

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<u>HERE IS THE VARIATION OF THE CONSTANT OF VARIATION:</u>

A blimp travels 255 feet in 1/2 minute

k = 510

A blimp travels 255 feet in 1/2 minute

k = 3060

A blimp travels 3,060 feet in 1 minute

k = 3060

It is clear that the constant of variation does not remain constant.

Therefore, we conclude that there is NOT a proportional relationship between the distance the blimp travels and the time it travels.

6 0
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rusak2 [61]
<span>x^2 – 8x + 16 = 0
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hope it helps</span>
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