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Fudgin [204]
3 years ago
8

Solve for x and y in the equation. xy=80 and log x - 2 log y =1

Mathematics
1 answer:
Alexxx [7]3 years ago
7 0

9514 1404 393

Answer:

  (x, y) = (40, 2)

Step-by-step explanation:

Taking the antilog of the second equation, we have ...

  x/y^2 = 10

  x = 10y^2

Substituting this into the first equation gives ...

  (10y^2)y = 80

  y^3 = 8 . . . . . . . . divide by 10

  y = 2 . . . . . . . . . . cube root

  x = 10·2^2 = 40

The solution is (x, y) = (40, 2).

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In a valcano, erupting lava flows continuously through a tube system about 19 kilometers to the sea. assume a lava flow speed 0.
Sunny_sXe [5.5K]

Lava flows continuously about 19 kilometers to sea if speed of  lava is 0.5 kilometer per hour then it will take 38 hours to reach the sea.

As given,

Distance covered = 19kilometers

Speed of lava = 0.5 kilometer per hour

0.5 kilometers=1 hour

⇒ 1kilometers = (1/0.5)hour

⇒ 19 kilometers = (19 / 0.5) hour

⇒ 19 kilometers = 38 hours

Therefore, lava flows continuously about 19 kilometers to the sea if speed of the lava is 0.5 kilometer per hour then it will take 38 hours to reach the sea.

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4 0
1 year ago
3 1/3(2 1/5x-4 2/3) - 5 5/6=0, solve please
frosja888 [35]

Based on the task content given; the solution to the equation for x 3 1/2(2 1/5x - 4 2/3) - 5 5/6 = 0 is 2 203/231

<h3>Simplification</h3>

3 1/2(2 1/5x - 4 2/3) - 5 5/6 = 0

  • open parenthesis

(3 1/2 × 2 1/5x) - (3 1/2 × 4 2/3) - 5 5/6 = 0

(7/2 × 11/5x) - (7/2 × 14/3) - 35/6 = 0

77/10x - 98/6 - 35/6 = 0

77/10x = 98/6 + 35/6

77/10x = 98+35 / 6

77/10x = 133/6

x = 133/6 ÷ 77/10

= 133/6 × 10/77

= 1330/462

x = 2 406/462

= 2 203/231

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8 0
2 years ago
The diameter of a circle pass through
Neko [114]
The diameter of a circle passes through the middle
8 0
4 years ago
5/9 divided by 1 1/2
lozanna [386]

Answer:

10/27

Step-by-step explanation:

convert 1 1/2 to 3/2

turn divide into multiply and flip 3/2

5/9x2/3

=10/27

6 0
4 years ago
3) In a paddling pool there are 30 floating ducks. Each duck is marked with a number on the underside. 15 are marked with the nu
Darina [25.2K]

Answer: 1/5

Step-by-step explanation:

Given the following :

Total number of ducks in pool = 30

Mark 1 = 15 ducks

Mark 2 = 9 ducks

Mark 3 = 6 ducks

Probability of picking a duck with Mark 3:

Probability = (number of required outcomes / total possible outcomes)

Number of required outcomes = number of ducks with mark 3 = 6 ducks

P(picking a duck with Mark 3) = 6/30

6/30 = 1/5

= 1/5

4 0
4 years ago
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