Answer:
Infinite many solutions. Any x-value can satisfy the equation.
Step-by-step explanation:
Let's work on simplifying the equation a little to investigate which x-values satisfy it. Start by combining like terms on the left side (6x +4x=10x),
then distribute the factor "10" into the binomial (x+10), obtaining 10x +30.
Now we have the same expression on the left and the right of the equal sign:
10x +30=10x+30. We may subtract 30 from both sides, and obtain 10x=10x, and at this point divide by 10 both sides, and we obtain: x=x
The process is shown below.

x=x is an equation that is verified by absolutely ANY x value on the number line, and there are infinite x-values in the number line.
Therefore there are infinite many solutions to this equation (any x-value will satisfy it).
Multiply the area of the base by it's height.
18 x 9 1/2 = 171 cm^3
The answer is D.
The volume of the cylinder is 508.68 cm²
<u>Explanation:</u>
Given:
Diameter, d of a cylinder = 6 cm
Radius, r = 6 / 2cm = 3cm
Height of the cylinder, h = 18 cm
Volume of the cylinder, V = ?
We know:
Volume of the cylinder = πr²h
On substituting the values we get:
V = 3.14 X (3)² X 18
V = 508.68 cm²
Therefore, the volume of the cylinder is 508.68 cm²
The shortest height at which the two stacks will be same is 72 inches.
Step-by-step explanation:
Given,
Boxes that are 18 inches tall are being stacked next to boxes that are 24 inches tall.
It means that we will find least common factor of both the boxes;
18 = 2*3*3
24 = 2*2*2*3
LCM = 2*2*2*3*3 = 72
The least common multiple of 18 and 24 is 72, therefore,
The shortest height at which the two stacks will be same is 72 inches.
Keywords: LCM, multiplication
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