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Troyanec [42]
3 years ago
5

You attend a working dinner with four other colleagues. Since alcohol

Mathematics
1 answer:
murzikaleks [220]3 years ago
4 0

Using proportions, it is found that the amount owed for each bill are given as follows:

$31.33 for food $9.90 for alcohol.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

In this problem, each of the bills are split equally among the five people, hence the fraction is 1/5.

Thus:

1/5 x 156.65 = $31.33

1/5 x 49.50 = $9.90.

Hence the amount owed for each bill are given as follows:

$31.33 for food $9.90 for alcohol.

More can be learned about proportions at brainly.com/question/24372153

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*Find 6 5/8% of $1,480.90. Round to the nearest cent.
jeka94

9514 1404 393

Answer:

  $98.11

Step-by-step explanation:

If your calculator doesn't work with mixed numbers, you must first convert 6 5/8% to a decimal fraction.

  6 5/8 = (6·8+5)/8 = 53/8 = 6.625

  6 5/8% = 0.01×6.625 = 0.06625

Then the desired amount is ...

  0.06625 × $1480.90 = $98.109625 ≈ $98.11

6 5/8% of $1,480.90 is $98.11.

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3 years ago
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cluponka [151]

2x - 3y - 9z = -32

x + 3z = 8

-3x + y - 4z = -8

Add all the equations together.

-3y - 10z = -32

By looking at the first equation, 2x - 3y - 9z = -3y - 10z.

So 2x = -z.

By looking at the second equation, x + 3z = (-0.5z) + 3z = 8.

So 2.5z = 8, and z = 3.2.

This means that x = -1.6.

Let's substitute into our original equations!

-3.2 - 3y - 28.8 = -32

4.8 + y - 12.8 = -8

Therefore, y = 0!

Since these answers do not contradict each other, they are dependent.

The answers are x = -1.6, y = 0, z = 3.2.

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Step-by-step explanation:

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