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White raven [17]
3 years ago
10

#1 Cassie and Anna went out to dinner together. Cassie paid 8 dollars more than

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
3 0

Answer:

$40

Step-by-step explanation:

Let the total bill be "x"

Now,

Anna paid 40% (40/100 = 0.4) of the bill, that means

Cassie paid 100 - 40 = 60% of the bill, that is 60/100 = 0.6

Anna paid 0.4x  &  Cassie paid 0.6x

Cassie's amount is 8 dollar more, so we can write:

0.6x - 8 = 0.4x

Now, we solve for x:

0.6x - 0.4x = 8

0.2x = 8

x = 8/0.2

x = 40

THe total bill is $40

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Once upon a time, there was a former whose family raised pigs and chickens. One morning, the farmer's wife looked into the barny
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Using a system of equations, it is found that:

  • There are 8 chickens in the yard.
  • There are 16 pigs in the yard.

-----------------------------------------

This question is solved using a system of equations. I am going to say that:

  • x is the number of chickens.
  • y is the number of pigs.

-----------------------------------------

  • A chicken has 1 head, as do a pig.
  • There are 24 heads.

Thus:

x + y = 24 \rightarrow y = 24 - x

-----------------------------------------

  • A chicken has 2 feet.
  • A pig has 4 feet.
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Thus:

2x + 4y = 80

-----------------------------------------

Number of chicken:

Since y = 24 - x

2x + 4y = 80

2x + 4(24 - x) = 80

2x + 96 - 4x = 80

2x = 16

x = \frac{16}{2}

x = 8

There are 8 chickens in the yard.

-----------------------------------------

Number of pigs:

y = 24 - x = 24 - 8 = 16

There are 16 pigs in the yard.

A similar problem is given at brainly.com/question/24104709

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3 years ago
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6 0
2 years ago
In​ 1999, total revenue of a company from music sales and licensing was ​$14.8 billion. It was forecasted that this number would
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Answer:

62. 84%

Step-by-step explanation:

total revenue of a company from music sales and licensing in 1999 = $14.8 billion

Foretasted  total revenue of a company from music sales and licensing in 2014  = $5.5 billion

decrease in revenue of a company from music sales and licensing in 2014  from 1999 =  $14.8 billion - $5.5 billion = 9.3 billion

Therefore percentage decrease in music revenue =( difference in revenue from 1999 to 2014/   revenue in 1999 ) * 100

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percent decrease in music revenue is 62. 84%.

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Step-by-step explanation:

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