Answer:
A sweater was on sale at 40% off the regular price
Step-by-step explanation:
It fills the cylinder up to 10 cm.
The volume of a cylinder is given by the formula
V = πr²h, where r is the radius of the base and h is the height of the cylinder.
The volume of a cone is given by the formula
V = 1/3πr²h, where r is the radius of the base and h is the height of the cylinder.
Since the base of the flask and the cylinder are the same, this means r is the same number in both formulas.
Since the height of the flask and the cylinder are the same, this means h is the same number in both formulas.
This means that the only difference in the formulas is that the formula for the cone flask is 1/3 the formula for the cylinder.
The water that fills the cone flask will fill 1/3 of the cylinder; 1/3(30) = 10
A = b is given to us
Multiply both sides by c to get
a = b
a*c = b*c
The rule to multiply both sides by c is the multiplicative property of equality
Then on the right side, replace c with d. This replacement is possible due to the fact that c = d. This is using the substitution property.
So we go from
a*c = b*c
to this
a*c = b*d
In the fundamental counting principle, you are multiplying to get the total number of possibilities as a result. For example, if you have 5 different types of bread, 8 types of cheese, and 6 types of meat, you have 240 choices (8 x 6 x 5).
Answer:
Step-by-step explanation:
To find a linear model, you need to use the formula y = kx and solve that for k. k is the constant of variation, also known as the slope of a line. Hence, the word "linear".
If y = kx and y = 1010 and x = 5, then
1010 = 5k so
k = 202
The linear model, then, is
y = 202x
