Answer: 
Step-by-step explanation:
Given equation: 

Since 5 is the greatest common factor of 65 and 60 in the given expression.
Therefore, the above expression can be written as

Hence, by factoring the side that contains the variable p we have the expression
.
To solve this problem, first we have to figure out how many total rolls Hanna buys.
3 packs*36 rolls in each pack = 108 total rolls
2 packs*24 rolls in each pack = 48 total rolls
108 rolls + 48 rolls = 156 rolls.
Next, it says that Hanna uses 8 rolls of film. To model this in our expression, we need to subtract 8 rolls from our total amount.
156-8 = 146 rolls
Hanna has 146 rolls left.
Answer:
5 meters
Step-by-step explanation:
If in 1 inch have 2.54 centimeters, in 197 inches will have:
197×2.54 = 500.38 centimeters
If 100 centimeters are 1 meter, 500 centimeters will have 5 meters, so 197 inches have 5 meters
Answer:
The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.
Step-by-step explanation:
Surface area of an snowball:
An snowball has spherical format. The surface area of an sphere is given by:

In which d is the diameter of the sphere.
In this question:
We need to differentiate S implicitly in function of time. So

Surface area decreases at a rate of 9 cm2/min
This means that 
At which the diameter decreases when the diameter is 10 cm?
This is
when
. So




Area in cm², so diameter in cm.
The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.