The odds of rolling a 4 is 1/6 or 0.16667 or 16%
Converting this into an equation, we get:
6x+4y=14
-8x-4y=-12
We can solve this by adding the system of equations.
6x+4y=14
+ -8x-4y=-12
-------------------------
-2x=2
Simplifying, we get that x=-1. We can replug this into one of the equations to get y. We'll choose 6x+4y=14
Plugging in -1 for x, we get that:
6(-1)+4y=14
which is
-6+4y=14
which is
4y=20
Simplify this to get that y=5
To check, you can plug in x and y into both equations to make sure that they are true.
6(-1)+4(5)=14
-6+20=14
14=14 which is true
-8(-1)-4(5)=-12
8-20=-12
-12=-12 which is true
x=-1 and y=5
:)
<span>So we want to know how much ball bearings can be made with 5.24 cm^3 if one ball bearing has a diameter of 1 cm. We know that radius r=d/2=0.5cm So the volume V of one ball bearing is: V=(4/3)*pi*r^3 so V=(4/3)*3.14*(0.5)^3cm^3=0.524cm^3. Now we simply divide the volume of steel by the volume of the ball bearing: 5.24/0.524=10. So we can make 10 ball bearings from 5.24 cm^3 of steel</span>
