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suter [353]
3 years ago
12

An athletic director pays $90 for 12 sun visors for the softball team. how much will the athletic director pay to buy 15 more su

n visors? what is the cost of 16 sun visors? Part B
Mathematics
1 answer:
TiliK225 [7]3 years ago
6 0
First, you would need to find out how much 1 sun visor would cost. To do this, you would divide $90 among the 12 sun visors. 
$90 ÷ 12 = $7.50

It costs $7.5 per sun visor. 

Next, you would need to create an equation to find out how much it will cost to buy 15 more sun visors. 
($7.50 × 15) + $90 = $202.50

It will cost $202.50 in total to buy 12 visors plus another 15. 

Now, the last thing you would need to do is calculate how much it would cost to buy 16 sun visors.  
$7.50 × 16 = $120

It would cost $120 to buy 16 sun visors. 

I hope this helps!
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Which describes how triangle FGH could be transformed to triangle F prime G prime H prime in two steps? On a coordinate plane, t
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Answer:

  • <u><em>A dilation by a scale factor of 4 and then a reflection across the x-axis </em></u>

Explanation:

<u>1. Vertices of triangle FGH:</u>

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  • G: (-3,3)
  • H: (0,1)

<u>2. Vertices of triangle F'G'H':</u>

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  • G': (-12,-12)
  • H': (0, -4)

<u>3. Solution:</u>

Look at the coordinates of the point H and H': to transform (0,1) to (0,-4) you can muliply each coordinate by 4 and then change the y-coordinate from 4 to -4. That is<em> a dilation by a scale factor of 4 and a reflection across the x-axis.</em> This is the proof:

  • Rule for a dilation by a scale factor of 4: (x,y) → 4(x,y)

       (0,1) → 4(0,1) = (0,4)

  • Rule for a reflection across the x-axis:{ (x,y) → (x, -y)

        (0,4) → (0,-4)

Verfiy the transformations of the other vertices with the same rule:

  • Dilation by a scale factor of 4: multiply each coordinate by 4

       4(-2,1) → (-8,4)

       4(-3,3) → (-12,12)

  • Relfection across the x-axis: keep the x-coordinate and negate the y-coordinate

        (-8,4) → (-8,-4) ⇒ F'

        (-12,12) → (-12,-12) ⇒ G'

Therefore, the three points follow the rules for <em>a dilation by a scale factor of 4 and then a reflection across the x-axis.</em>

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3 years ago
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