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OleMash [197]
3 years ago
14

Janie receives R150 pocket money per month. In the new year his mother increase his pocket money in the ratio 6:5. Calculate Jan

ies adjusted monthly pocket money?​
Mathematics
1 answer:
dimaraw [331]3 years ago
6 0

Answer:

Janies' monthly pocket money is $180.

Step-by-step explanation:

Janies' adjusted monthly pocket money:

Initial pocket money = $150

Ratio of new pocket money = 6:5

Let his new pocket money be represented by x,

x:$150 = 6:5

$150 x 6 = x (5)

$900 = 5x

x = \frac{900}{5}

x = $180

Therefore, Janies' monthly pocket money is $180.

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The equation 16x² - y² = 16 represents a hyperbola ⇒ 2nd answer

Step-by-step explanation:

The general form of the equation of a conic is

Ax² + Bxy + Cy² + Dx + Ey + F = 0, where A, B, C, D, E, and F

are constants

To find the type of conic that the equation represent find B² - 4AC

1. B² - 4AC < 0 and the conic is exist, then it's ellipse or circle,

   if A = C, (non-zero) then it is a circle, if A ≠ C, then it is an ellipse

2. B² - 4AC = 0 and the conic is exist, then it's a parabola

3. B² - 4AC > 0 and the conic is exist, then it's a hyperbola

∵ The equation is 16x² - y² = 16

- Subtract 16 from both sides

∴ 16x² - y² - 16 = 0

∵ Ax² + Bxy + Cy² + Dx + Ey + F = 0

∴ A = 16 , B = 0 , C = -1 , D = 0 , E = 0 , F = -16

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∴ The conic is hyperbola

The equation 16x² - y² = 16 represents a hyperbola

Learn more:

You can learn more about hyperbola in brainly.com/question/4054269

#LearnwithBrainly

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