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marysya [2.9K]
3 years ago
11

In order for a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What size buttonhol

e is needed for a button with a circumference of 9.42 centimeters?
A. 3 centimeters
B. 6 centimeters
C. 4 centimeters
D. 1.5 centimeters
Mathematics
1 answer:
solong [7]3 years ago
8 0
Formula for the circumference: 
C = π d
Use the estimate of 3.14 for π: 9.42 = 3.14 d 
Divide both sides by 3.14: d = 9.42 / 3.14 They have very conveniently given you a round number: d = 3  so your answer is A
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Each paper cup is a cone.
The volume if a cone is      (1/3) (pi) (radius)² (height)

Notice, in the picture they labeled the <em>diameter</em> of the cup = 8 cm.
But we need the<em> radius</em>. that's 1/2 of the diameter = 4 cm.

So, the volume of these paper cups is 

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

It says that tons of lemons have been sacrificed, and you have
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How many cups will that fill ?

       37,850 cm³ / 184 cm³ = about <em>205 cups</em>.
========================

How many packs of cups do you need to buy ?
Unfortunately, they only come in packs of 50.

1 pack = 50 cups . . . . . not enough
2 packs = 100 cups . . . not enough
3 packs = 150 cups . . . not enough
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You need to buy <em>5 packs = <u>250 cups</u></em>.
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It started raining, so you only sold 80% of the lemonade that you had.

80% means 0.80
"of" means "times"

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You sold  (0.8) x (37,850 cm³) = about  <u>30,280 cm³</u> of it.

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(Remember, each cup holds about <u>184 cm³</u>.)

         30,280 cm³ / 184 cm³ = about <u>164 cups sold</u>.

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You sold 164 cups of lemonade.

You had  (250 bought - 164 used) =

               <em>86 clean, unused paper cups, still in the wrappers, left over</em>.


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3 years ago
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With replacement, each draw has a probability of
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P(pink,pink) = \frac{9}{18}*\frac{9}{18}=\frac{81}{324}



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