Answer: 33,098, 33,097, 33,096
V=(1/3)hpir^2
d/2=r
2.75/2=1.375
to make volume 4 times more
multiply height by 4 or multiply radius by 2
example
find current cup volume
V=(1/3)2.75pi1.375^2=2.2057291666666pi
if we times height by 4
3.5*4=14
V=(1/3)14pi1.375^2=8.822916666666666666pi
if we times radius by 2
1.375*2=5.5
V=(1/3)3.5pi5.5^2=8.822916666666666666pi
we can show it is 4 times by
8.822916666666666666pi/2.2057291666666pi= 3.99999 close enough
dimentions are
diameter of 2.75in and height of 11in or
diameter of 5.5in and height of 3.5 in
X/3 = 6/9
x= 6/9 x 3/1
x = 18/9 = 2
ANSWER=2
Please, use parentheses to enclose each fraction:
y=3/4X+5 should be written as <span>y=(3/4)X+5
Let's eliminate the fraction 3/4 by multiplying the above equation through by 4:
4[y] = 4[(3/4)x + 5]
Then 4y = 3x + 20
(no fraction here)
Let 's now solve the system
4y=3x + 20
4x-3y=-1
We are to solve this system using subtraction. To accomplish this, multiply the first equation by 3 and the second equation by 4. Here's what happens:
12y = 9x + 60 (first equation)
16x-12y = -4, or -12y = -4 - 16x (second equation)
Then we have
12y = 9x + 60
-12y =-16x - 4
If we add here, 12y-12y becomes zero and we then have 0 = -7x + 56.
Solving this for x: 7x = 56; x=8
We were given equations
</span><span>y=3/4X+5
4x-3y=-1
We can subst. x=8 into either of these eqn's to find y. Let's try the first one:
y = (3/4)(8)+5 = 6+5=11
Then x=8 and y=11.
You should check this result. Subst. x=8 and y=11 into the second given equation. Is this equation now true?</span>
