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My name is Ann [436]
3 years ago
9

Total mass vs. numbers of cd and numbers of cd

Mathematics
1 answer:
Gekata [30.6K]3 years ago
7 0

Answer: Choice A) M = 0.25n + 100

=============================================================

Explanation:

For now, I'll treat n as x, and M as y.

In other words,

  • x = number of CDs
  • y = total mass in kg

Let's select two points from this graph. I'll pick (200,150) and (400,200)

The slope of the line through those points is

m = (y2-y1)/(x2-x1)

m = (200-150)/(400-200)

m = 50/200

m = 0.25

Now we'll use the point (x,y) = (200,150) along with that slope value to find the y intercept b

y = mx+b

150 = 0.25*200+b

150 = 50+b

150-50 = b

100 = b

b = 100

You could also use (x,y) = (400,200) and you should get the same b value.

In fact, any other point from this graph works as well.

------------------------------

Since m = 0.25 and b = 100, we go from y = mx+b to y = 0.25x+100

This then translates over to M = 0.25n + 100 which is choice A

To help verify this, let's say we plugged in n = 100

M = 0.25*n + 100

M = 0.25*100 + 100

M = 25 + 100

M = 125

Which is confirmed by what the graph shows. I'll let you check the other points as well.

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It should be 37y4+6y^2-2y^2+y-1
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3 years ago
I'm stuck on this question, please help. Thank you!!! ​
anastassius [24]

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In blue, we see the dimensions are x by x.  x times x = x^2

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In green, the dimensions are x by 3.  3 times x = 3x

And finally, yellow's dimensions are 3 by 9.  3 times 9 = 27

We can now just add all these areas to find the total area:

x^2 + 12x + 27

6 0
2 years ago
Read 2 more answers
A packing box has the dimensions 3 by 2 by 5 1/2 feet. What is the volume of the box?
dem82 [27]
As already mentioned, the volume for a rectangular prism, namely a box in this case, is just the product of its dimensions, length * width * height.

\bf \textit{volume of a rectangular prism}\\\\
V=LWH\quad 
\begin{cases}
L=length\\
W=width\\
H=height\\
------\\
L=3\\
W=2\\
H=5\frac{1}{2}
\end{cases}\implies V=3\cdot 2\cdot 5\frac{1}{2}
\\\\\\
V=3\cdot 2\cdot \cfrac{5\cdot 2+1}{2}\implies V=6\cdot\cfrac{11}{2}\implies V=3\cdot \cfrac{11}{1}
\\\\\\
V=33

now, as far as another one... hmm is easier if you post in the channel, that way I can include any graphs if needed or tables and such.

so, what happens if you double up the dimensions?

\bf \textit{volume of a rectangular prism}\\\\
V=LWH\quad 
\begin{cases}
L=length\\
W=width\\
H=height\\
------\\
L=6\\
W=4\\
H=10
\end{cases}\implies V=6\cdot 4\cdot 10\implies V=240\\\\
-------------------------------\\\\
\begin{cases}
L=6(2)\\
W=4(2)\\
H=10(2)
\end{cases}\implies V=6(2)8(2)10(2)\implies V=(2)(2)(2)6\cdot 8\cdot 10
\\\\\\
V=(8)6\cdot 8\cdot 10\implies V=(8)\stackrel{original~volume}{240}

notice, how many times the new size is, is 8 times the original.
6 0
3 years ago
2 (x + 5) = } (x – 4)?<br> Help
Vanyuwa [196]

Answer:

X= -14

Step-by-step explanation:

So we can first simplify the equation

2x+10=x-4

Now just solve i normally

x+10=-4

x=-14

So x is -14

8 0
3 years ago
Help I will be marking brainliest!!!
weeeeeb [17]
This was the value I obtained

7 0
2 years ago
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