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ANTONII [103]
2 years ago
6

Charles is buying a new car. The car costs $15,500. He pays an

Mathematics
1 answer:
Dimas [21]2 years ago
7 0

9514 1404 393

Answer:

  $15,900

Step-by-step explanation:

The total price before the down payment is ...

  ($15,500  +2500)(1.05) = $18,900

After paying $3,000 down, Charles must borrow ...

  $18,900 -3,000 = $15,900

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a chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar and the second Brian con
tankabanditka [31]

Answer:

  • 273 mL of 5%
  • 117 mL of 15%

Step-by-step explanation:

Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...

  0.15q + 0.05(390 -q) = 0.08(390)

  0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify

  q = 117 . . . . . . . . . . . . . . . . . . multiply by 10

  390-q = 273

The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).

__

<em>Additional comment</em>

You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.

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Step-by-step explanation:

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