Given that the dilation factor or scale factor between the two spheres is equal to 3:7, the ratio between their volumes is calculated by cubing the numbers in the ratio. That is,
3³:7³
This operation will give us an answer of 27:343
Answer: 
Step-by-step explanation:
In order to solve this exercise it is important to remember that a "Rate" is defined as a ratio that compares two different but related quantities.
Then, "Unit rate" tell us how many units of the first quantity corresponds to one unit of the second quantity. Therefore, the second quantity is equal to 1.
According to the information given in the exercise, you know that the number of hours of homework in 8 weeks is 240 hours.
Then, in order to determine the Unit rate (the number of hours per week), you need to divide 240 hours by 8 weeks.
Through the procedure explained above, you get the that the number of hours per week is the following:

(Notice that it is
)
Answer:
The coordinates of P' are 
Step-by-step explanation:
Given a point (x,y). If we have a dilation by a scale factor of r, centered at the origin, we have that the coordinates of (x,y) in the new system is given by (r*x,r*y).
Assumign that this dilation is centered at the origin, then if P is the point (-6,4) then the point P' is 