Answer:
Runner-up: $15,000
Winner: $75,000
Step-by-step explanation:
Let's create an equation for this problem.
Let x=the amount the runner-up receives
Let 5x=the amount the winner receives
Then,
x+5x=90,000
6x=90,000
x=15,000
5x=75,000
Put it on the graph as 2xy=10!
Answer:1.8
Step-by-step explanation:
Answer:
{x,y} = {3,-2}
Step-by-step explanation:
// Solve equation [1] for the variable y
[1] y = 2x - 8
// Plug this in for variable y in equation [2]
[2] 3x - 2•(2x-8) = 13
[2] -x = -3
// Solve equation [2] for the variable x
[2] x = 3
// By now we know this much :
x = 3
y = 2x-8
// Use the x value to solve for y
y = 2(3)-8 = -2
Solution :
{x,y} = {3,-2}
Volume of a cone=(1/3)πr²h
Volume of a cylinder=πr²h
The cone has the same radius (r) and height than the cylinder that the cone fits exactly inside of.
Data:
Volume of a cone=5 in³
Then:
(1/3)πr²h=5 in³
πr²h=3(5 in³)
πr²h=15 in³ (remember: volume of a cylinder=πr²h)
Then the volume of a cylinder that the cone fits exactly inside of would be:
15 in³
