Answer:
Each shirt cost $20
Step-by-step explanation:
88- $28= 60
60/3= $20
Equations
• x² + y = 0 ... (1)
• x² - 4x - y = 0 ... (2)
Answer -> (x, y) = (2, -4)
Step-by-step solution:
From equation 2,
-> y = x² - 4x ... (3)
• Substitute y into equation 1
-> x² + (x² - 4x) = 0
-> 2x² - 4x = 0
-> 2x² = 4x
-> x²/x = 4/2
-> x = 2
• Put x = 2 in equation 3
-> y = (2)² - 4(2)
-> y = 4 - 8
-> y = -4
It is False , because they could be in a common plane but they do not form a single line
Answer: 129
Step-by-step explanation:
It is 129 because y is less than 70 so the greatest possible value for that is 69 and z is less than or equal to 60 so 69 + 60 =129
Answer:
4/3
Step-by-step explanation:
To know this, let's write down the formulas for the volume of cylinder and sphere.
Vs = 4/3πr³ (1)
Vc = π r² h (2)
Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:
Vs / Vc = 4πr³ / 3πr²h
Vs/Vc = 4πr³ / 3πr³
From here, we can cancel out the values of π and r³:
Vs/Vc = 4/3
<h2>
Vs = 4/3 Vc</h2>
Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.
Hope this helps