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horrorfan [7]
3 years ago
13

The numerator of a rational number is less that it’s denominator by 7.If the new number becomes 3/2 when the numerator is triple

d and the denominator is increased by 16, find the original number
Pls help me with this question
Mathematics
1 answer:
Murljashka [212]3 years ago
3 0

Answer:

\frac{23}{30}

Step-by-step explanation:

let the denominator of the original fraction be x, then

\frac{x-7}{x} ← is the original fraction

After the given changes, that is

\frac{3(x-7)}{x+16} = \frac{3}{2} ( cross- multiply )

6(x - 7) = 3(x + 16) ← distribute parenthesis on both sides

6x - 42 = 3x + 48 ( subtract 3x from both sides )

3x - 42 = 48 ( add 42 to both sides )

3x = 90 ( divide both sides by 3 )

x = 30

Thus

\frac{30-7}{30} = \frac{23}{30} ← the original rational number

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Answer:

Step-by-step explanation:

First, you have to convert the units, since kilograms and grams aren't the same unit. 1000 grams=1 kilogram. Keep that in mind, and lets move on.

So, that means 3 kilograms=3,000 grams. Let's rewrite our ratio.

500g:3,000g

So now they're the same units, but it isn't simplified. This last parts easy. To simplify a ratio, find the number you can divided both number with. In this situation, that number is 500. 500 divided by 500= 1, and 3,000 divided by 500= 6.

Final Simplified Ratio: 1g:6g

Hope this helped :)

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Step-by-step explanation:

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Read 2 more answers
A satellite is in orbit 600\ \mathrm{k}\mathrm{m}600 km above Earth's surface. Earth's radius is about 6370\ \mathrm{k}\mathrm{m
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The distance from the satellite to the Earth's horizon is 6398 km

<h3>Pythagoras theorem</h3>

Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It is given by:

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Let x represent the distance from the satellite to the Earth's horizon

Hence:

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The distance from the satellite to the Earth's horizon is 6398 km

Find out more on Pythagoras theorem at: brainly.com/question/343682

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