Aperson who weighs 45 2/5 kg on earth would weigh 107 kg on saturn. if s represents a person's weight in kg, on saturn, which proportion could you solve to determine the weight on saturn of a person who weighs 73 1/2 kg on earth?

D.

Step-by-step explanation:

Firstly, we know the weight of a person (let's call it person 1) is and the weight of the same person 1 on Saturn is .

Now, we want to know the weight of a second person (person 2) on Saturn, but we only know its weight on Earth, which is .

This problem can be solved by the Rule of Three, which is mathematical rule to find out an amount that is with another quantity given in the same relation as other two also known:

Earth     Saturn

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Finding  :

Rearranging the equation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15