Hello from MrBillDoesMath
Answer:
See below for steps.
Discussion:
As I understand the problem statement we have a cylinder of height h and radius r. The volume of the cylinder is given by the formaul:
V = (pi * r^2) h
Divide both sides by (pi * r^2):
V\ (pi * r^2)) = ( (pi * r^2) * h ) \ ((pi * r^2) =>
V\ (pi * r^2) = 1 * h = h as (pi * r^2) \ (pi * r^2))
Therefore, h = V\ (pi * r^2)
Thank you,
Mr. B
9514 1404 393
Answer:
(x, y) = (-11, 4)
Step-by-step explanation:
You can subtract 3 times the second equation from the first to eliminate y.
(7x +9y) -3(x +3y) = (-41) -3(1)
4x = -44
x = -11
Substituting into the second equation gives ...
-11 +3y = 1
3y = 12
y = 4
The solution is (x, y) = (-11, 4).
Answer:
(- 1, - 2 )
Step-by-step explanation:
Given the 2 equations
x - 3y = 5 → (1)
5x - 2y = - 1 → (2)
Rearrange (1) expressing x in terms of y by adding 3y to both sides
x = 5 + 3y → (3)
Substitute x = 5 + 3y in (2)
5(5 + 3y) - 2y = - 1 ← distribute left side
25 + 15y - 2y = - 1
25 + 13y = - 1 ( subtract 25 from both sides )
13y = - 26 ( divide both sides by 13 )
y = - 2
Substitute y = - 2 in (3) for corresponding value of x
x = 5 + (3 × - 2) = 5 - 6 = - 1
Solution is (- 1, - 2 )
Answer:
w is greater than or equal to 358
0.15x + x <(or equal to) 50
Where x is the meal's cost (no tip included)
50 - 15% = 42.5.
x >(or equal to) 42.50.
(nothing is copied content, I copy pasted a number into the right position, feel free to check it mods)
