Answer:
<em>Volume: Option A - Around 85.33 (in^3)</em>
Step-by-step explanation:
Let us take a look at the problem. Here we are given the circumference of the bowling ball, provided it is in the shape of a sphere.
Our first step can be to note the formula of circumference, applicable to both a sphere and a circle:
C = 2 * π * r - Where r = radius
Now let us substitute the known value of the circumference as to solve for r, or the radius:
(8π) = 2πr
r = 8π/2π
r = 4
Now take a look at the spherical formula for volume of a sphere:
V = 4/3 * π * r^3 - Where r is yet again the radius
Let us substitute the known value of the radius as to solve for the volume, or in other words to solve for the answer:
V = 4/3 * π * (4)^3
V = 4/3 * π * 64
V = 256/3 * π
V = (Around) 85.33π (in)^3
*Don't forget the units
X+y=-1
x-3y=11
------------- (subtract equation)
4y = -12
y = -12/4
y= -3
-------------- (substitute y)
x-3=-1
x=-1+3
x=2
Answer ----> A (2,-3)
-5x-3y=12
x-3y=-6
you want to multiply the top equation by -1 to swap the signs and make the x's positive like the bottom equation
5x+3y=-12
x-3y=-6
then you have to multiply every value in the bottom equation by 5 so you are able to subtract it from the top equation
5x+3y=-12
5x-15y=-30
---------------- (subtract)
18y=18
y=18/18
y=1
------------------ (substitute y)
x-3=-6
x=-6+3
x=-3
answer = (-3,1)
To use the distributive property, we "distribute" a value on the outside of a set of parentheses to all of the values on the inside of the parentheses. For example...
6(3 + 9) = 6*3 + 6*9
For your problem, you only have one value 13.99, but we can split it apart to make it a little easier to work with (like with mental math). We can say that 13.99 is the same as 10 + 3.99. Now we can take it and multiply by 9 with the distributive property...
9(10 + 3.99) =
9*10 + 9*3.99 =
90 + 35.91 =
$125.91
(-2,0) is your answer:)))
