100 POINTS
2 answers:
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Let the amount of shells collected by Aaron be 
and the amount of shells collected by Maria be 
respectively. Then the following system of equations should be solved:
First of all, express out of first equation:
Then, replace in second equation with found expression and solve it:
Finally, replace in first equation with found value and solve it too:
So, Aaron has found 7 shells while Maria has found 21.
First of all, express
Then, replace
Finally, replace
So, Aaron has found 7 shells while Maria has found 21.
Answer:
- r = 3V/(2πh²)
- h = 3V/b²
- r = 25/π cm ≈ 7.9577 cm
- w = 15 cm
Step-by-step explanation:
1. Multiply both sides of the equation by the reciprocal of the coefficient of r.
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2. Multiply both sides of the equation by the reciprocal of the coefficient of h.
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3. Solve the circumference formula for r, then substitute the given information.
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4. Solve the perimeter formula for width, the substitute the given information and do the arithmetic.
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In general, solving for a particular variable involves "undoing" what has been done to the variable, usually in the reverse order. In part 4, the variable W has L added and the sum is multiplied by 2. We "undo" those operations, last operation first, by dividing by 2 and subtracting L.
The properties of equality say you can do what you like to an equation as long as you do the same thing to both sides of the equation. So, when we say "divide by 2", we mean "divide both sides of the equation by 2." Likewise, "subtract L" means "subtract L from both sides of the equation."