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Mekhanik [1.2K]
3 years ago
9

James bought $175 in accessories for his video game console. He spent $15 on a new power cord and the rest of his money on 5 new

video games. Each video game cost the same amount. Write two equations you could use to find the cost of each video game.
Mathematics
2 answers:
WARRIOR [948]3 years ago
7 0
Hello!

I believe two equations you can make to represent the question are...

(175-15)/5
and
5x+15=175

The first equation, (175-15)/5, makes you subtract 15 from 175 to get 160. You'll then divide 160 by 5 to get 32.

The second equation, 5x+15=175, makes you subtract 15 from 15 and 175, so you'll equation will look like this...
5x=160
You'll then divide 5x and 160 by 5 to get x=32.

So for both equations, you'll get an answer of 32.

I hope this helps!
Leni [432]3 years ago
4 0
You can start by removing the $15 form $175 to get 160.00 the divide 160 by what till you get 5 

so it will look like this 

$175-$15=$160/$32 each = get you 5 games 
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Write the equation of a line in slope intercept form that passes through the two points. 4,-1 and 6,-7
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A line has an equation of,

y=mx+n.

m is called a slope

n is called y-intercept

We are also given two points (x_1,y_1)=(4,-1),(x_2,y_2)=(6,-7).

We begin with computing the slope,

m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{-7-(-1)}{6-4}=\frac{-7+1}{2}=\frac{-6}{2}=\boxed{-3}

We have computed the slope m and our equation is almost done,

y=-3x+n

Next step is to find out what y-intercept n is. I will use point (4,-1) and insert x and y it into already known equation, then solve for n,

-1=-3(4)+n

-1=-12+n\implies n=\boxed{11}

The reason I can insert coordinates of a point as x and y is because this particular point is in the line described by equation,

\boxed{y=-3x+11}

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In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generat
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Read 2 more answers
Please Help! I need this by today! 15 points!
Zigmanuir [339]
<span>l = length

w = width

h = height


SA = 2lw + 2wh + 2lh.


V = lwh.


Write an expression for the ratio of surface area to volume:


SA / V = [</span><span><span> 2lw + 2wh + 2lh] / </span>lwh 

SA / V = 2lw / lwh + 2wh / lwh + 2lh / lwh

SA / V = 2/h + 2/l + 2/w



Choose an appropriate length, width, and height for your package so that it can fit the product you are shipping. Using these dimensions, what is the ratio of surface area to volume?

I will work with an hypothetical figure where you have , l, w and the volume.


I suppose you know the volume, because it is the amount of product you need to pack. Make V = 1000 cm^3, l = 10 cm and w = 5 cm.

Wtih two dimensions and the volumen you can find the other dimension.


V = lwh = 1000 cm^3 => h = 1000 cm^3 / (lw) = 1000 cm^3 / (10 cm * 5 cm)


h = 1000 cm^3 / (50 cm^2) = 20 cm


Now you have the three dimensions to pack 1000 cm^3 of your product:

l = 10 cm
w = 5 cm
h = 20 cm


And the ratio of surface area to volume is:

SA / V = 2/h + 2/l + 2/w = 2/(20cm) + 2/(10cm) + 2/(5cm) = 0,7 (cm)^-1
</span>
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4 years ago
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