3p-1=5(p-1)-2(-7-2p)
multiply the first bracket by 5
(5)(p)=5p
(5)(-1)=-5
multiply the second bracket by -2
(-2)(7)=-14
(-2)(-2p)=4p
3p-1=5p-5-14+4p
3p-1=5p+4p-5-14 ( combine like terms)
3p-1=9p-19
move 9p to the other side
sign changes from +9p to -9p
3p-9p-1=9p-9p-19
-6p-1=-19
move -1 to the other side
-6p-1+1=-19+1
-6p=-18
divide both sides by -6 to get p by itself
to get +p
-6p/-6=-18/-6
Answer:
p=3
Answer:
1.08×10^11
Step-by-step explanation:
1.08 times 10 to the power of 11
Step-by-step explanation:
Answer-
b) 1
Answer:
Step-by-step explanation:
Since the scale is in equilibrium, both sides must be equal. Therefore, we have the following equation:
Solving for :
Answer:
3.5%
Step-by-step explanation:
The volume of a cylinder =
<em>r</em> = radius of cylinder,
<em>h</em> = height of cylinder
For the non-optimal can,
<em>r</em> = 2.75/2 = 1.375
<em>h</em> = 5.0
<em />
For the optimal can,
<em>d</em>/<em>h</em> = 1,
<em>d</em> = <em>h</em>
2<em>r </em>=<em> h</em>
<em>r</em> = h/2
They have the same volume.
<em /><em />
(This is the height of the optimal can)
(This is the radius of the optimal can)
The area of a cylinder is
<em /><em />
For the non-optimal can,
For the optimal can,
Amount of aluminum saved, as a percentage of the amount used to make the optimal cans =