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Ira Lisetskai [31]
3 years ago
7

If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n?

Mathematics
2 answers:
Goshia [24]3 years ago
5 0

Answer:

EDGE 2020

Step-by-step explanation:

C) 30

trust me

defon3 years ago
3 0

For this case we have that if "y" varies directly with "x", we can propose:

y = kx

Where "k" represents the constant of proportionality.

According to the data:

180 = kn\\n = k5

We substitute the second equation in the first:

180 = k * k5\\180 = 5k ^ 2\\k ^ 2 = \frac {180} {5}\\k ^ 2 = 36

We apply root:

k = \pm \sqrt {36}\\k = \pm6

If k = 6, thenn = 6 * 5 = 30

Answer:

n = 30

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