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Reil [10]
2 years ago
13

At the Bristol County Fair, there is a baking contest that awards a first prize and a second prize to the best pies baked. There

are 56 entrants to the contest this year.
In order to determine how many ways there are to award prizes, you should use a __[blank 1]__. There are __[blank 2]__ ways to award the prizes.

Enter either the word permutation or the word combination for blank 1, and then enter the number that correctly fills in blank 2.
Mathematics
1 answer:
4vir4ik [10]2 years ago
3 0

Answer:

1: Permutation

2: 3080

Step-by-step explanation:

As order matters, (first place as opposed to second place) this must be a permutation.

For first place, there are 56 different contestants that could win it, while once first place is selected, there are only 55 to get second. This means that

56*55=3080

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7/4x^2 -2 = - 0.05x + 4
nata0808 [166]

Answer:

x1=\frac{-2-2\sqrt{29401} }{245}  x2=\frac{-2+2\sqrt{29401} }{245}

Step-by-step explanation:

Step One: Convert

49/16x^2-2=-0.05x+4

Step Two: Multiply Both Sides by 80

245x^2-160=-4x+320

Step Three: Move everything to the left

245x^2+4x-480=0

Final Step: Quadratic Formula

x1=\frac{-2-2\sqrt{29401} }{245}  x2=\frac{-2+2\sqrt{29401} }{245}

6 0
3 years ago
Masha biked 20km 20 minutes faster than Dasha biked 20km. Find the speed of each cyclist if one biked 2km/h faster than the othe
motikmotik

Answer:

  • 12 km/h and 10 km/h

Step-by-step explanation:

Let the speed of Masha = s, speed of Dasha = d

  • Distance = 20 km
  • Time difference = 20 min = 1/3 hr
  • Speed difference  = 2 km/h

<u>As per above info we get following equations:</u>

  • s = d + 2
  • 20/s + 1/3 = 20/d

<u>Substitute s and solve for d:</u>

  • 20/(d + 2) + 1/3 = 20/d

<u>Get rid of fraction by multiplying all terms by 3d(d + 2):</u>

  • 60d + d(d + 2) = 60(d + 2)
  • 60d + d² + 2d = 60d + 120
  • d² + 2d = 120
  • d² + 2d + 1 = 121
  • (d + 1)² = 11²
  • d + 1 = 11
  • d = 10

<u>Find s:</u>

  • s = 10 + 2 = 12

<u>The answer is</u>

  • Masha's speed 12 km/h and Dasha's speed 10 km/h
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2 years ago
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dezoksy [38]

100 legs. hope it helps!

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3 years ago
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Answer:B

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2 years ago
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Aleks [24]

Answer:

The answer is D (I'm 99.9999% positive it's the correct answer)

Step-by-step explanation:

It's kinda hard to tell with the pictures but look at the screenshot I attached bc that's how it should look :)

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8 0
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