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maw [93]
2 years ago
6

the ratio of pens to pencils that are used by Woodlands middle school students is 3 to 2 if their is a total of 160 middle schoo

l students how many of them use pencils
Mathematics
1 answer:
wlad13 [49]2 years ago
5 0

Answer:

Number of students that use pen= 96

Step-by-step explanation:

Giving the following information:

Ratio pens to pencil= 3:2

<u>First, we need to calculate the proportion of pens and pencils in this middle school:</u>

Pens= 3/5= 0.6

Pencil= 2/5= 0.4

<u>Now, we can determine the number of students that uses pens:</u>

Number of students that use pen= 160*0.6

Number of students that use pen= 96

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3 years ago
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Step-by-step explanation:

Because the length of ST is calculated using pythagorean theorem:

{c}^{2}  =  {a}^{2}  +  {b}^{2}

Where the square of the hypotenuse is equal to the sum of squares of the other two sides of a right triangle. In this case, the hypotenuse is ST and the other two sides are distances between S and T over the X and Y axis. Those are easily calculated:

x =  |sx - tx|  \\ y =  |sy - ty|

Where x is the distance between S and T over X axis and Y distance over Y axis, sx and tx are X coordinates of S and T, sy and ty are Y coordinates of S and T.

Using that formula, you get that y = 17 and x = 8.

Back to the pythagorean theorem, if we put those number in the formula of the pythagorean theorem, we get something like this:

{c}^{2}  =  {x}^{2}  +  {y}^{2} \\  {c}^{2}  =  {8}^{2}  +  {17}^{2} = 64 + 289  \\  {c}^{2}  = 353 \\ c =  \sqrt{353}

And finally, the correct answer is in fact 353.

3 0
2 years ago
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Gala2k [10]
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3 years ago
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Ilia_Sergeevich [38]

Answer:

12

Step-by-step explanation:

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3 years ago
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