Let's denote the orbital period of planet X as T and its average distance from the sun as A. For planet Y, let its orbital period be T_1, implying that if planet Y's mean distance from the sun is twice that of planet X:
This indicates that the orbital period for planet Y increases by a factor of 
Response:
1/6
Detailed explanation:
Let
c -----> the count of cola bottles chosen by Dan
s -----> the count of smarties selected by Dan
m -----> the count of marshmallows selected by Dan
we have
c=3s -----> A equation
m=2s -----> B equation
we understand that
To determine the fraction of the sweet bag that consists of smarties, we must divide the number of smarties by the total amount of sweets
The overall number of sweets is calculated as
(c+s+m)
substituting equations A and B into the total sweets
(3s+s+2s) =6s
Calculate the fraction
s/6s
Reduce it
1/6
Let P(3) denote the probability of landing on 3 in a spin, and P(5) denote the probability of landing on 5. In probability terms, "AND" signifies multiplication while "OR" indicates addition. We aim to find the probability that the first number is "3" AND the second number is "5." Thus, we identify the individual probabilities and MULTIPLY them. The spinner has numbers ranging from 1 to 8, each appearing once. Therefore, since there is one instance of "3," we have P(3) = 1/8 and similarly P(5) = 1/8. Consequently, the overall probability of P(3 and 5) is 1/8 multiplied by 1/8, which equals 1/64.
