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3 years ago

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A piston is seated at the top of a cylindrical chamber with radius 5 cm when it starts moving into the chamber at a constant spe

ed of 3 cm/s. What is the rate of change of the volume of the cylinder when the piston is 2 cm from the base of the chamber?

1 answer:

Tanzania [10]3 years ago

6 0

Rate is change is 1.2

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A cost regularly priced at $188 is on sale for 25% off . What is the sale price ?

Brums [2.3K]

You need to multiply 188 by 25%. But first convert 25% to a decimal 0.25.
188*0.25 is 47
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Louise, Tammy, Delores, and Sheryl score 78 points total in the tennis matches they play. They score a consecutive number of poi

irga5000 [103]

$\huge\boxed{18\ \text{points}}$

We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with $x$ , $x+1$ , $x+2$ , and $x+3$ respectively since each one is 1 point more than the last.

Add all of these values up and set it all equal to $78$ .

$x+x+1+x+2+x+3=78$

Now, simplify.

$4x+6=78$

Subtract $6$ on both sides.

$\begin{aligned}4x+6-6&=78-6\\4x&=72\end{aligned}$

Divide both sides by $4$ .

$\begin{aligned}\frac{4x}{4}&=\frac{72}{4}\\x&=\boxed{18}\end{aligned}$

Since Louise's score is $x$ , the answer is $18$ .

<h3>Double-checking</h3>

To verify our answer, add the point totals $18$ , $19$ , $20$ , and $21$ .

This equals $78$ , so we can be sure the answer is correct.

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I don't know how to do this problem.....please help

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I hope this helps you

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