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viktelen [127]
3 years ago
13

What is the quotient of (6.3 × 10^8) ÷ (9 × 10^2)​

Mathematics
1 answer:
marusya05 [52]3 years ago
6 0

Hey there!

10^8 = 10 • 10 • 10 • 10 • 10 • 10 • 10 • 10 = 100 • 100 • 100 • 100 ➡️ 100,000,000

10^2 = 10 • 10 ➡️ 100

(6.3 • 100,000,000) ÷ (9 • 100)

6.3 • 100,000,000 = 630,000,000

9 • 100 = 900

630,000,000/900 = 700000

Answer: 700,000 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

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Answer:

Yes, y = \frac{1}{5} x represents a proportional relationship and the constant of proportionality is \frac{1}{5}

Step-by-step explanation:

<em>The Proportional is a relationship between two quantity one of them equals the product of the other and a constant, where this constant called the constant of proportionality </em>

  • If x and y are proportion, then y = k x, where k is the constant of proportionality
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Let us solve the question

∵ y = \frac{1}{5} x

→ It the same as the form of the proportional equation above

∵  \frac{1}{5}  is a constant

∴ y is the product of x and constant

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Substitute x by 0 to find y and show it represented by a line passing through the origin

∵ x = 0

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→ That means point (0, 0) lies on the line which represents the equation

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∵ y = \frac{1}{5} x

∴ k =  \frac{1}{5}

∴ The constant of proportionality is \frac{1}{5}

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