Mathematics: Amusic website charges x dollars for individual songs and y dollars for entire albums. person a pays $25.92 to download 6 individual songs and 2 albums. person b pays $33.93 to download 4 individual songs and 3 albums. write a system of linear equations that represents this situation.

Amusic website charges x dollars for individual songs

Ответ:

XAINEE

13.03.2022

Mathematics

Let

equals to amount charged for downloading individual songs $\Rightarrow$

equals to amount charged for downloading an entire album.

Solve the system for

:
$\left\{{{6x+2y = 25.92,}\atop{4x + 3y = 33.93;}}\right \left\{{{6x+2y = \frac{648}{25},}\atop{4x + 3y = \frac{3393}{100};}}\right
\\\left\{{{6x+2y-2y = \frac{648}{25}-2y,}\atop{4x + 3y = \frac{3393}{100};}}\right \left\{{{6x = \frac{648}{25}-2y,}\atop{4x + 3y = \frac{3393}{100};}}\right
\\\left\{{{x = \frac{-25y+324}{75},}\atop{4x + 3y = \frac{3393}{100};}}\right \left\{{{x = \frac{-25y+324}{75},}\atop{4\frac{-25y+324}{75} + 3y = \frac{3393}{100};}}\right$
$\left\{{{x = \frac{-25y+324}{75},}\atop{\frac{4(-25y+324)}{75} * 300 + 3y * 300 = \frac{3393}{100} * 300;}}\right \left\{{{x = \frac{-25y+324}{75},}\atop{16(-25y+324)+900y = 10179;}}\right
\\\left\{{{x = \frac{-25y+324}{75},}\atop{500y+5184 = 10179;}}\right \left\{{{x = \frac{-25y+324}{75},}\atop{500y = 4995;}}\right
\\\left\{{{x = \frac{-25y+324}{75},}\atop{y = \frac{999}{100} = 9.99;}}\right$

Solving the system for

is unoptional since we already have the answer we've been looking for. Your answer is $9.99\$$ .

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Ответ:

alexa006ox9k63

28.04.2020

Mathematics

Given that there are four guests in each table, the 12 tables would have 48 guests. the restaurant desires to have at least 1 server per 48 people. the inequality that would best represent the given situation is,
48x ≥ y
if we try to substitute 1 to x and 1 for y we get, 48 ≥ 1 which is true.

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Amusic website charges x dollars for individual songs and y dollars for entire albums. person a pays $25.92 to download 6 individual songs and 2 albums. person b pays $33.93 to download 4 individual songs and 3 albums. write a system of linear equations that represents this situation.

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