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Archy [21]
3 years ago
8

Use the drop-down menus to choose steps in order to correctly solve 4k−6=-2k−16−2 for k .

Mathematics
1 answer:
Triss [41]3 years ago
8 0
While there is no drop-down menu options for me to choose. I will show you how to solve this.

\mathrm{Subtract\:the\:numbers:}\:-16-2=-18 \ \textgreater \  4k-6=-2k-18

\mathrm{Add\:}6\mathrm{\:to\:both\:sides} \ \textgreater \  4k-6+6=-2k-18+6 \ \textgreater \  Simplify

4k=-2k-12 \ \textgreater \  \mathrm{Add\:}2k\mathrm{\:to\:both\:sides} \ \textgreater \  4k+2k=-2k-12+2k

Simplify again.

6k=-12 \ \textgreater \  \mathrm{Divide\:both\:sides\:by\:}6 \ \textgreater \  \frac{6k}{6}=\frac{-12}{6} \ \textgreater \  Simplify \ \textgreater \  k=-2

Hope this helps!
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A 3-gallon bottle of fabric softener costs $33.24. What is the price per quart?
asambeis [7]

Answer:

$2.77 per quart.

Step-by-step explanation:

There are four quarts in a gallon.

4 * 3 = 12

There are 12 quarts in 3 gallons.

\frac{price}{quart} =\frac{33.24}{12}=\frac{33.14/12}{12/12}=\frac{2.77}{1}=\boxed{2.77}

The price per quart should be $2.77.

Hope this helps.  

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3 years ago
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Svetlanka [38]
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Find the missing side lengths
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A water wheel has a radius of 9 feet. The wheel is rotating at 5 revolutions per minute. Find the linear​ speed, in feet per​ mi
guajiro [1.7K]

Answer:

90\pi\text{ ft/s}\approx282.74\text{ ft/s}

Step-by-step explanation:

Refer to physics equation v=\omega r, where \omega is angular velocity.

Angular velocity's SI unit is rad/s. Convert rev/min to rad/s:

\displaystyle 5\text{ rev/min}=5\cdot \frac{1}{60}\cdot 2\pi\approx 0.524\text{ rad/s}

Now substitute \displaystyle\omega=\frac{1\pi}{6} and r=9 into v=\omega r:

\displaystyle v=\frac{1\pi}{6}\cdot 9=\frac{3}{2}\pi\text{ ft/s}=\boxed{90\pi\text{ ft/s}}

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What is the measure of an interior angle in a regular polygon with 17 sides?
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