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 
The volume of a cylinder can be determined using the formula pi*h*d^2/4, which leads us to V = pi*(39 mm)(39 mm)^2 / 4 = 46,589 mm^3. Dividing the mass of 1 kg by the volume of 46,589 mm^3 results in a density of 2.1464 x 10^-5 kg/mm^3. Typically, density is expressed in kg/m^3, so we convert this by multiplying by 1x10^9, yielding a density of 21,464 kg/m^3.
Answer: 
Step-by-step solution:
Leon’s older brother’s height is 
feet
feet
Because Leon is 1/3 foot shorter than his brother,
Leon’s height = 
Convert to like fractions by multiplying numerator and denominator: multiply 3 for the first fraction and 4 for the second.
So, Leon’s height = 
feet
Therefore, Leon’s height is feet.
To solve this problem, you'll need to create two equations:
x + y = 155 (total packages)
3x + 8y = 815 (total weight)
Next, multiply the first equation by 3: 3x + 3y = 465.
Then, subtract the first equation from the second to find that 5y = 350, which means y = 70. Thus, there are 70 packages that weigh 8 pounds.
Answer:
$6.48
Step-by-step explanation:
Initially calculate the 10% discount on $1.60, which results in $1.44. Then multiply $1.44 by 4.5 to find the total, yielding $6.48.
