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Sati [7]
3 years ago
5

Determine whether the fractions 39.68/60.14and 6.4/9.7 are equivalent write yes or no

Mathematics
2 answers:
Alex17521 [72]3 years ago
7 0

Answer:

yes

Step-by-step explanation:

If you divide 39.68 and 60.14 you get .6597938144 and if you divide 6.4 and 9.7 you get the same number.

Anastasy [175]3 years ago
7 0

Answer:  The correct answer is:  "<u>yes</u>" .

__________

Step-by-step explanation:

__________

First:

Consider the fraction:

__________

" \frac{(39.68)}{(60.14)} " ;  Using a calculator:  " \frac{(39.68)}{(60.14)} = (39.68 ÷ 60.14) = 0.65979381443 " .

__________

Second:

Consider the fraction:

__________

" \frac{(6.4)}{(9.7)} " ;  Using a calculator:  " \frac{(6.4)}{(9.7)} = (6.4 ÷ 9.7) = 0.65979381443 " .

__________

→  " 65979381443  ≟   65979381443 " ?  Yes!

→  " 65979381443   =  65979381443 " !

____________________

Thus:

__________

 →  " \frac{(39.68)}{(60.14)}  = \frac{(6.4)}{(9.7)} "  ;   Yes; these fractions are equivalent.

 →  The correct answer is: "yes" .

__________

Hope this is helpful to you!

 Best wishes!

__________

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Find the midpoint of the line segment with endpoints at the given coordinates (-6,6) and (-3,-9)
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<u>Solution:</u>

Given, two points are (-6, 6) and (-3, -9)

We have to find the midpoint of the segment formed by the given points.

The midpoint of a segment formed by \left(\mathrm{x}_{1}, \mathrm{y}_{1}\right) \text { and }\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right) is given by:

\text { Mid point } \mathrm{m}=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)

\text { Here in our problem, } x_{1}=-6, y_{1}=6, x_{2}=-3 \text { and } y_{2}=-9

Plugging in the values in formula, we get,

\begin{array}{l}{m=\left(\frac{-6+(-3)}{2}, \frac{6+(-9)}{2}\right)=\left(\frac{-6-3}{2}, \frac{6-9}{2}\right)} \\\\ {=\left(\frac{-9}{2}, \frac{-3}{2}\right)}\end{array}

Hence, the midpoint of the segment is \left(\frac{-9}{2}, \frac{-3}{2}\right)

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