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r-ruslan [8.4K]
3 years ago
8

Find the number such that when it is added to 5 and the sum is divided by 3 the result is the same as one twelve in divided by x

Mathematics
1 answer:
Oksana_A [137]3 years ago
8 0

Answer:

0.05 or -5.05

Step-by-step explanation:

Let the number be x

Then

(X+5)/3=(1/12)÷X

Cross multiplication

It will be;

12x²+60x=3

By general equation,

X=0.05 or -5.05

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Compute the sales tax for the prices and rates given below. Price Tax Rate Tax $299 4% $6,750 7% $76.50 5.2% $18.32 3.9% $5.95 6
serious [3.7K]

Answers:

Price        Tax Rate        Tax

$299         4%                 $11.96

$6,750      7%                 $472.5

$76.50      5.2%              $3.98

$18.32       3.9%              $0.71

$5.95        6.2%              $0.37

$13.89       4.3%              $0.60

$768.43    3.7%              $28.43

$6.49        5.8%              $0.38

$23.86      7.1%               $1.69

$12.98      3.9%              $0.51


Explanation;


Sales tax is computed as the product of the price times the tax rate in % divided by 100:


  • Sales tax = price × tax rate / 100

Here is each compute:


  • $299 × 4% = $299 × 4/100 = $11.96
  • $6,750 × 7% = $6,750 × 7/100 = $ 472.50
  • $76.50 × 5.2% = $76.50 × 5.2/100 =  $3.98
  • $18.32 × 3.9% = $18.32 × 3.9/100 = $0.71
  • $5.95 × 6.2% = $5.95 × 6.2/100 = $0.37
  • $13.89 × 4.3% = $13.89 × 4.3/100 = $0.60
  • $768.43 × 3.7% = $768.43 × 3.7/100 = $28.43
  • $6.49 × 5.8% = $6.49 × 5.8/100 = $0.38
  • $23.86 × 7.1% = $23.86 × 7.1/100 = $1.69
  • $12.98 × 3.9% = $0.51

8 0
3 years ago
Find the area of the regular polygon.
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The area (A) of a regular hexagon in terms of its side length s is

... A = (3√3)/2·s²

For a regular hexagon, its side length is equal to the radius of its circumcircle, given here as 10√3 cm. Putting this value in the formula gives

... A = (3√3)/2·(10√3 cm)² = 450√3 cm²

... A ≈ 779.4 cm² . . . . area of the hexagon

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Answer:

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