Answer:
From least to greatest, the correct order is 1.2, 1.2011, 1.401, and 1.41.
Step-by-step explanation:
<span>Simplifying
4x + 20 = 6x + -10
Reorder the terms:
20 + 4x = 6x + -10
Reorder the terms:
20 + 4x = -10 + 6x
Solving
20 + 4x = -10 + 6x
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
20 + 4x + -6x = -10 + 6x + -6x
Combine like terms: 4x + -6x = -2x
20 + -2x = -10 + 6x + -6x
Combine like terms: 6x + -6x = 0
20 + -2x = -10 + 0
20 + -2x = -10
Add '-20' to each side of the equation.
20 + -20 + -2x = -10 + -20
Combine like terms: 20 + -20 = 0
0 + -2x = -10 + -20
-2x = -10 + -20
Combine like terms: -10 + -20 = -30
-2x = -30
Divide each side by '-2'.
x = 15
Simplifying
x = 15</span>
Answer:
0.767 m
Step-by-step explanation:
The area of a cube of edge length s is given by ...
A = 6s^2
The area of a sphere of radius r is given by ...
A = 4πr^2
When these two are equal, we have ...
6s^2 = 4πr^2
r^2 = 6s^2/(4π)
r = s·√(3/(2π)) ≈ s·0.690988
The radius of the sphere is about ...
r ≈ 0.690899×1.11 m
r ≈ 0.767 m . . . . approximate sphere radius
Answer:
x=7 y=3
Step-by-step explanation:
-x+6y=11
2x-3y=5
-2x+12y=22
2x-3y=5
Add both equations
-2x+2x-3y+12=22+5
9y=27
y=3
plug y back in
-x+18=11
-x=-7
x=7
