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Lisa [10]
3 years ago
6

The table below lists the masses and volumes of several pieces of the same type of metal. There is a proportional relationship b

etween the mass and the volume of the pieces of metal.
Mathematics
1 answer:
Murrr4er [49]3 years ago
3 0
Given the table below which lists the masses and volumes of several pieces of the same type of metal.<span>

From the table the ratio of the mass to the volume of the metal of mass 34.932 is 34.932 / 4.1 = 8.52
</span><span>the ratio of the mass to the volume of the metal of mass 47.712 is 47.712 / 5.6 = 8.52
</span><span>the ratio of the mass to the volume of the metal of mass 61.344 is 61.344 / 7.2 = 8.52
</span><span><span>the ratio of the mass to the volume of the metal of mass 99.684 is 99.684 / 11.7 = 8.52

</span>MASS (grams)            VOLUME (cubic cm.)
34.932                               4.1
47.712                              5.6
61.344                              7.2
99.684                              11.7</span>

Since the ratio of the various masses to the volume of the metals is the same, so there is a relationship between the mass and the volume of the piece of metal.

If the volume of a piece of metal is 15.3 cubic cm, then the mass of the metal is given by 15.3 * 8.52 = 130.356 grams.
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3 years ago
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Answer:

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Let me know if you prefer another form.

Step-by-step explanation:

The slope of a line can be found using \frac{y_2-y_1}{x_2-x_1} provided you are given two points on the line.

We are.

Now you can use that formula.  But I really love to just line up the points vertically then subtract them vertically then put 2nd difference over 1st difference.

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-( 1/2  ,  3/2)

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

3/10          -13/10

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y-y_1=m(x-x_1) \text{ where } m \text{ is slope and } (x_1,y_1) \text{ is a point on the line }    

Plug in a point (x_1,y_1)=(\frac{1}{2},\frac{3}{2}) \text{ and } m=\frac{-13}{3}.

This gives:

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I'm going to distribute:

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Now I don't like these fractions so I'm going to multiply both sides by the least common multiply of 2,3, and 6 which is 6:

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Add 26x on both sides:

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Add 9 on both sides:

26x+6y=22 This is actually standard form of a line.

It can be simplified though.

Divide both sides by 2:

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7 0
3 years ago
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What is standard form in slope
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Answer:

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Step-by-step explanation:


4 0
3 years ago
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