<h3>
Answer: x = 11</h3>
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Work Shown:
Those are the two possible solutions
. We need to check each possible solution.
Plug in x = 11 then simplify. If we get the same number on both sides, then x = 11 is confirmed.
We get 11 on both sides, so the solution x = 11 is confirmed.
Repeat for x = 6 as well
We do not get the same thing on both sides, so x = 6 is not a solution. We consider this extraneous.
Example ig
2x -4= 6
+4. +4
2x. 10
10/2= 5
X=5
This is a two step problem so I hope it’s the same thing. If it’s not I’m sorry
Answer:
0.5x+20=0.25x+30, m=40
Step-by-step explanation:
Blue: y=0.5x+20
Red: y=0.25+30
We’re looking for where the y (cost) is equal, so we can set the two equations to each other:
Isolate x:
0.5x+20=0.25x+30
0.5x+20-20=0.25x+30-20
0.5x=0.25x+10
0.5x-0.25x=0.25x+10-0.25x
0.25x=10
x=40
m= 40
Answer: a) The figure can be reasonably divided into two geometries:
• a rectangular prism
• a hemisphere.
b) The volume of the rectangular prism is given by
V = lwh
V = (10 cm)(5 cm)(4 cm) = 200 cm³
The volume of the hemisphere is given by
V = (2π/3)r³
V = (2π/3)(3 cm)³ = 18π cm³
c) The total volume of the figure is
total volume = (prism volume) + (hemisphere volume)
V = 200 cm³ + 18π cm³
V ≈ 256.549 cm³
Step-by-step explanation:
We are given with the volume of 32 cubic meters. The dimension of the box is obtained by taking the cubic root of 32 which is 3.1748 x 3.1748 x 3.1748 meters. When the dimensions are tripled, 9.5244 x 9.5244 x <span>9.5244 meters. The volume is a ) 864 cubic meters. </span>
