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3 years ago

7

What a real world situation that could be modeled by the equation 100 - 6X =160-10x

1 answer:

baherus [9]3 years ago

4 0

Let's solve your equation step-by-step.<span><span>100−<span>6x</span></span>=<span>160−<span>10x</span></span></span>Step 1: Simplify both sides of the equation.<span><span>100−<span>6x</span></span>=<span>160−<span>10x</span></span></span><span>Simplify: (Show steps)</span><span><span><span>−<span>6x</span></span>+100</span>=<span><span>−<span>10x</span></span>+160</span></span>Step 2: Add 10x to both sides.<span><span><span><span>−<span>6x</span></span>+100</span>+<span>10x</span></span>=<span><span><span>−<span>10x</span></span>+160</span>+<span>10x</span></span></span><span><span><span>4x</span>+100</span>=160</span>Step 3: Subtract 100 from both sides.<span><span><span><span>4x</span>+100</span>−100</span>=<span>160−100</span></span><span><span>4x</span>=60</span>Step 4: Divide both sides by 4.<span><span><span>4x</span>4</span>=<span>604</span></span><span>x=15</span>Answer:<span>x=<span>15

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Step-by-step explanation:

It is given that the a cylindrical tank is 6 feet across and 9 feet deep. It means

Diameter of cylinder = 6 feet

Radius of the cylinder = 6/2 = 3 feet

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The volume of a cylinder is

$V=\pi r^2h$

where, r is radius and h is height of the cylinder.

Substitute r=3 and h=9 in the above formula.

$V=\pi (3)^2(9)$

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