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suter [353]
3 years ago
10

5/y + 7/x =24 12/y + 2/x =24 ,find the ratio of x to y.

Mathematics
1 answer:
rosijanka [135]3 years ago
7 0

Answer:

Step-by-step explanation:

5/y + 7/x =24.........(1)

12/y + 2/x =24........(2)

Let 1/y = a and 1/x = b

5a + 7b = 24 ...........(3)

12a + 2b = 24...........(4)

Multiply (3) by 2 and (4) by 7

10a + 14b = 48..........(5)

84a + 14b = 168.........(6)

Substracting (5) from (6)

84a - 10a = 168 - 48

74a = 120

a = 120/74

a = 60/37

Putting a = 60/37 in (3)

5a + 7b = 24

5(60/37) + 7b = 24

300/37 + 7b = 24

Multiply each term 37

300 + 259b = 888

259b = 888 - 300

259b = 588

b = 588/259

And a = 1/y

60/37 = 1/y

Cross multiply

60y = 37

y = 37/60

Also

b = 1/x

588/259 = 1/x

Cross multiply

588x = 259

x = 259/588

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Answer:

The correct option is;

A total of forty hours a week

Step-by-step explanation:

The given information in the question are;

The number of hours of sleep Nina gets during weeknights = five hours

The number of hours of sleep Nina gets per night on weekends = ten hours

The number of days in a week = 5 days

The number of days in a weekend = 2 days

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The number of hours of sleep Nina gets per week = 5 days × 5 hours/day + 2 days × 10 hours/day

∴ The number of hours of sleep Nina gets per week = 25 hours + 20 hours = 45 hours

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tatyana61 [14]

Answer:

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3 years ago
A biologist is studying a bacteria population that initially contains 10^3 bacteria. In the lab, the population doubles every we
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Step-by-step explanation:

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8 0
4 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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