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iVinArrow [24]
3 years ago
6

A mixture of punch contains 1 quart of lemonade, 2 cups of grape juice, 4 tablespoons of honey, and gallon of sparkling water. F

ind the percentage of the punch mixture that comes from each ingredient. Round your answers to the nearest tenth of a percent.
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
8 0
<h2>Answer:</h2><h2>(i) Percentage of lemonade = \frac{64}{356} (100) = 17.98 %</h2><h2>(ii) Percentage of grape juice = \frac{32}{356} (100) = 8.99 %</h2><h2>(iii) Percentage of honey = \frac{4}{356} (100) = 1.12 %</h2><h2>(iv) Percentage of sparkling water = \frac{256}{356} (100) = 71.91%</h2>

Step-by-step explanation:

By unit conversion,

1 cup = 16 table spoons

1 quart = 64 table spoons

1 gallon = 256 table spoons

1 quart of lemonade = 64 table spoons

2 cups of grape juice = 16 * 2 = 32 table spoons

4 tablespoons of honey = 4 table spoons

1 gallon of sparkling water = 256 table spoons.

Total quantity in table spoons = 64 + 32 + 4 + 256 = 356 table spoons

(i) Percentage of lemonade = \frac{64}{356} (100) = 17.98 %

(ii) Percentage of grape juice = \frac{32}{356} (100) = 8.99 %

(iii) Percentage of honey = \frac{4}{356} (100) = 1.12 %

(iv) Percentage of sparkling water = \frac{256}{356} (100) = 71.91%

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What is the height of an equilateral triangle if the sides are 10
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Answer:

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Step-by-step explanation:

we know that

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see the attached figure to better understand the problem

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How many multiples of 4 are there in {n; 37&lt; n &lt;1001}?
s2008m [1.1K]
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Let's experiment by modifying the given problem a bit, for the purpose of discovering any pattern that may exist:

<span>How many multiples of 4 are there in {n; 37< n <101}?  We could list and then count them:  {40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100}; there are 16 such multiples in that particular interval.  Try subtracting 40 from 100; we get 60.  Dividing 60 by 4, we get 15, which is 1 less than 16.  So it seems that if we subtract 40 from 1000 and divide the result by 4, and then add 1, we get the number of multiples of 4 between 37 and 1001:

1000
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Finally, subtract 9 from 241:  We get 232.

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Can you think of a more straightforward method of determining this number? </span>

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