$\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=11\pi \end{cases}\implies 11\pi =2\pi r\implies \cfrac{11\pi }{2\pi }=r\implies \boxed{\cfrac{11}{2}=r} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad \implies A=\pi \left( \cfrac{11}{2}\right)^2\implies A=\pi \left( \cfrac{11^2}{2^2}\right)\implies A=\cfrac{121\pi }{4}$

4 0

4 years ago

Kelly sells 62 shares of stock she owns for a total of $433. If the stock was in two different companies, one selling at $6.50 a

sertanlavr [38]

Jelly sells 62 shares of stock she owns for a total of $433. If the stock was in two different companies, one selling at $6.50 a share & the other at $7.25 a share, how many of each did she sell?
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Quantity Equation:: x + s = 62 shares
Value Equation::: 6.50x+7.25s = 433 dollars
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Modify for elimination:
6.5x + 6.5s = 6.5*62
6.5x + 7.25s= 433
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Subtract and solve for "s":
0.75s = 30
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s = 40 shares (# of 7.25 shares)
x = 22 shares (# of 6.50 shares)
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Cheers,
Stan H.

5 0

3 years ago

Fred runs 4 laps around a track in 6 minutes. How many minutes per lap is that? How many laps per minute?

denis-greek [22]

Answer:

0.67 Laps per minute

Step-by-step explanation:

4 Laps over 6 Minutes

4/6 = 0.67

8 0

3 years ago