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Alchen [17]
2 years ago
6

A recipe calls for 5/8 cups butter. Angie wants to triple the recipe but she has only 1 1/4 cups of butter

Mathematics
1 answer:
Alisiya [41]2 years ago
8 0
The recipe calls for 5/8 cups butter and Angie wants to triple the recipe.

Therefore, if Angie is tripling the recipe, she is multiplying all of the ingredients in the recipe by 3.

So for the butter, this would be:

5/8 * 3 = 15/8 

Next, we should turn this improper fraction into a mixed number so that we can compare it to the amount of butter that Angie has.

15/8 = 1 7/8 

1 7/8 > 1 1/4

Thus, Angie DOES NOT have enough butter to triple the recipe.
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Step-by-step explanation:

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From the question, we can tell it is a inversed-cone (upside down)

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c) Lets take the bucket as a round cylinder.

Given radius of bucket, r = 12.5cm (Half of Diameter) and h , height = 30cm.

Volume of cylinder = \pi r^{2} h\\=\pi (12.5)^{2} (30)\\=\frac{9375\pi }{2} cm^{3}

To overflow the bucket, the volume of ice melted must be more than the bucket volume.

Volume of ice melted after 5 hours = 5(\frac{35697\pi }{40} )\\=\frac{35697\pi }{8} cm^{3}

See, from here of course you are unable to tell whether the bucket will overflow as all are in fractions, but fret not, we can just find the difference.

Volume of bucket - Volume of ice melted after 5 hours

= \frac{9375\pi }{2} -\frac{35697\pi }{8 } \\=\frac{1803\pi }{8}cm^{3}

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