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DaniilM [7]
3 years ago
8

The total number of lollipops Eric buys from a store is given by 6×7. Braxton says that Eric buys 6 packs of lollipops with 7 lo

llipops in each pack. Alexis says that Eric buys 7 packs of lollipops with 6 lollipops in each pack.
Mathematics
1 answer:
maksim [4K]3 years ago
5 0

Answer:

Both boys are correct. The total number of lollipops would be 42.

Step-by-step explanation:

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Answer:

D) 5/2

Step-by-step explanation:

Scale factor = AB/DE = 35/14 = 5/2

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First you need to get all variables on one side. You do that by multiplying the reciprocal of the fraction to everything.
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3 years ago
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KATRIN_1 [288]

Answer:

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Step-by-step explanation:

Surface area of a cone = \pir² + \pirl

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Given slant height l = 10 and surface area = 188.5

Surface area  = \pir² + \pirl

188.5 = \pir² + 10\pir

\pir² + 10\pir - 188.5 = 0

r = \frac{-10\pi +\sqrt{(10\pi )^2-(4\times\pi \times-188.5)} }{2\pi } = 4.219621117...

Volume of a cone = (1/3)\pir²h

(where r = radius of the base and h = height)

We need to find an expression for h in terms of l using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height

r² + h² = l²

h² = l² - r²

h = √(l² - r²)

Therefore, substituting found expression for h:

volume of a cone = (1/3)\pir²√(l² - r²)

Given slant height l = 10 and r = 4.219621117...

volume = 169.0431969... = 169.04 in² (nearest hundredth)

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alekssr [168]
The answer is d because the perimeter of 6 by 6 would be 24 and that is the smallest perimeter.
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