<span>5(x + 1) = 4(x + 8)
Use distributive property
5x+5=4x+32
Subtract 4x from both sides
x+5=32
Subtract 5 from both sides
Final Answer: x=27</span>
Answer:
The 3 statements that are correct are:
<em><u>1. "Plan A offers fewer movies than Plan B for monthly costs greater than 20$"</u></em>
<em><u>2. "The two plans cost the same for 10 movies per month"</u></em>
<em><u>3. "The two plans offer the same number of movies for 20$ a month."</u></em>
The maximum radius of each ball is 3.33 cm.
<h3>What is a Cylinder?</h3>
A cylinder is a three-dimensional figure which is made of two parallel circular bases separated at a certain distance by a curved surface of the same radius as that of the bases.
A 20 cm nail perfectly fits the cylinder.
So the height of the cylinder = 20cm.
A sphere is a three-dimensional geometrical figure analogous to a circle. All the points of the sphere are at the same distance from the center.
If 3 spheres have to be fitted inside the cylinder,
The sum of the diameter of the spheres will be equal to the height of the cylinder.
The spherical balls are identical and so will have the same diameter
Let the maximum diameter of the sphere that can fit in the cylinder is d cm
Then,
d + d + d = 20
3d = 20
d = 20/3 = 6.67 cm
r = 3.33 cm
The maximum radius that the spheres can have to fit in the cylinder is 3.33 cm.
To know more about Cylinder
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X-3 is the expression that shows it