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Dvinal [7]
3 years ago
8

If the radius of mars is about 13.7% of neptune's radius, what is the radius of neptune?

Mathematics
1 answer:
Gnesinka [82]3 years ago
8 0

You said that                                 M is 13.7% of N

In algebraic notation                    M  =  0.137 N

Divide each side by  0.137 :      N  =  M / 0.137  =  7.3 M (rounded)

Online or in a real book, you can look up the radius of Mars.
Then write it in place of 'M' in this solution, and you'll have
an actual number for the radius of Neptune.
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In the equation 9^2 x 27^3 = 3^x, what is the value of x? <br> Show your work on scratchpaper
IceJOKER [234]

Answer:

x=13

Step-by-step explanation:

9^2 * 27^3 = 3^x

We need to get each term with a base of 3

9^2 = (3^2) ^2

We know that a^b^c = a^(b*c)

(3^2) ^2 = 3^(2+2) = 3^4

27^3 = (3^3) ^3 = 3^(3*3) = 3^9

Replacing these in the original equation

3^4 * 3^9 = 3^x

We know that a^b *a^c = a^(b+c)

3^4 * 3^9  =3^(4+9) = 3^13 = 3^x

The bases are the same, so the exponents must be the same

x=13

7 0
3 years ago
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