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Alexandra [31]
3 years ago
6

3 of 3

Mathematics
1 answer:
Ad libitum [116K]3 years ago
4 0

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

iTones charges $10 per month, and $1 per song.

Music Mine charges $7 per month and $1.50 per song.

<u>To calculate the total cost for each option, we need to use the following formulas:</u>

iTones:

Total cost= 10 + 1x

x= number of songs

Music Mine:

Total cost= 7 + 1.5x

x= number of songs

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Solve this problem???​
Svetllana [295]

The denominator of the first term is a difference of squares, such that

4<em>a</em> ² - <em>b</em> ² = (2<em>a</em>)² - <em>b</em> ² = (2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)

So you can write the fractions as

(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)/(2<em>a</em> + <em>b</em>)

Multiply through the second fraction by 2<em>a</em> - <em>b</em> to get a common denominator:

(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)²/((2<em>a</em> + <em>b</em>) (2<em>a</em> - <em>b</em>))

((4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²) / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))

Expand the numerator:

(4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²

(4<em>a</em> ² + <em>b</em> ²) - (4<em>a</em> ² - 4<em>ab</em> + <em>b</em> ²)

4<em>ab</em>

<em />

So the original expression reduces to

4<em>ab</em> / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))

or

4<em>ab</em> / (4<em>a</em> ² - <em>b</em> ²)

upon condensing the denominator again.

8 0
3 years ago
Josh has 212 baseball cards. He buys 12 more packs of baseball cards, with 15 cards in each pack. How many cards does Josh have
geniusboy [140]

212 + 15p

212 + 15(12)

212 + 180

=392 \: cards

8 0
3 years ago
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43 is how many 1/2 cup servings there are in 22 1/2.

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