(I'd like the quick and short answer please a long explaination is unnecessary)

Mathematics

1 answer:

professor190 [17]2 years ago

5 0

Answer:

(-3;-2)

Step-by-step explanation:

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Eman is planning to sell wind chimes at a craft fair. The cost of her tools for building the wind chimes is 130. The cost of mat

antoniya [11.8K]

We are given : The cost of tools for building wind chimes = $130.

Cost of material for each wind chime = $10.

We need to find the total cost of making 100 wind chimes.

Please note : $130 is the fix cost and $10 is the variable cost of each wind chime.

<em>In order to find the cost of 100 wind chimes, we need to multiply 100 by cost of making one wind chime and add the fix cost for tools for building wind chimes.</em>

Therefore, total cost of making 100 wind chimes = 10×100 + 130

= 1000+130

=1130.

<h3>Therefore, the total cost to make 100 wind chimes is $1130.</h3>

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2 years ago

Dakota and her dance troupe will be traveling to dance at New York City’s Rockefeller Center. Her ballet teacher said that the g

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The charter bus will take 7 hours to get there, so they will get there at 1pm. Her parents would actually get there before the bus because it's only going to take 5 hours.

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2 years ago

Which is smaller,two-thirds of 27 or two-fifths of 20?

shtirl [24]

" of " means multiply

2/3(27) = 54/3 = 18
2/5(20) = 40/5 = 8

so 2/5 of 20 is smaller

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2 years ago

Determine if the following system of equations has no solutions 4x+3y= -8 -8x-6y= 16

cupoosta [38]

$\begin{cases} 4x+3y=-8\\\\ -8x-6y=16 \end{cases}~\hspace{10em} \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill$

$4x+3y=-8\implies 3y=-4x-8\implies y=\cfrac{-4x-8}{3}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3} \\\\[-0.35em] ~\dotfill\\\\ -8x-6y=16\implies -6y=8x+16\implies y=\cfrac{8x+16}{-6} \\\\\\ y=\cfrac{8}{-6}x+\cfrac{16}{-6}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3}$

one simple way to tell if both equations do ever meet or have a solution is by checking their slope, notice in this case the slopes are the same for both, meaning the lines are parallel lines, however, notice both equations are really the same, namely the 2nd equation is really the 1st one in disguise.

since both equations are equal, their graph will be of one line pancaked on top of the other, and the solutions is where they meet, hell, they meet everywhere since one is on top of the other, so infinitely many solutions.

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neonofarm [45]

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