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Firlakuza [10]
3 years ago
11

What is the ratio for consonants to vowels,Vowels to total letters,and all letters to consonants

Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
6 0
Ratio for constants to vowels is 21:5
Ratio of vowels to total letters is 5:26
Then your total letter to constants is 26:21
Studentka2010 [4]3 years ago
5 0

Answers:

  • Ratio of consonants to vowels = 21:5
  • Ratio of vowels to total letters = 5:26
  • Ratio of all letters to consonants = 26:21

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

Explanation:

vowels = {a, e, i, o, u}

consonants = anything but a vowel (eg: the letter R)

There are 26 letters in the English alphabet. Five of which are vowels, so there are 26-5 = 21 consonants.

The ratio of consonants to vowels is 21:5

The <u>order is important</u> because the number of consonants must be listed first, simply because "consonants" is mentioned first in the phrasing "ratio of consonants to vowels". In other words, writing 5:21 would mean the ratio of vowels to consonants.

The ratio 21:5 cannot be reduced further since 21 and 5 have no factors in common (other than 1).

------------------------------

The other ratios will follow a similar idea as mentioned in the previous section.

To get the ratio of vowels to total letters, we list the number of vowels first (5) follow by the number of letters (26). A colon separates the two numbers to form the ratio 5:26

This ratio cannot be reduced further.

-------------------------------

Like in the previous sections, we'll glue together two numbers to form a ratio. In this case, we have 26 letters glued with 21 consonants to form the ratio 26:21 and this represents the ratio of total letters to consonants.

This ratio cannot be reduced further.

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The ratio is

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Sarah would like to make a 6 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of a mixture that is 80%
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Answer:  

<em>a.  The system of equations that models the situation is....</em>

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Suppose, the amount of 80/20 mixture is  x pounds and the amount of 50/50 mixture is  y pounds.

So, the amount of peanuts in 80/20 mixture = 0.80x pound and the amount of almonds in 80/20 mixture =0.20x pound.

And the amount of peanuts in 50/50 mixture =0.50y pound and the amount of almonds in 50/50 mixture =0.50y pound.

Now, Sarah would like to make a 6 pounds nut mixture that is 60% peanuts and 40% almonds.

So, the amount of peanuts in that mixture =(6\times 0.60)=3.60 pounds

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Subtracting equation (2) from equation (1), we will get.....

(0.80x+0.50y)-(0.20x+0.50y)=3.60-2.40\\ \\ 0.60x=1.20\\ \\ x= \frac{1.20}{0.60}=2

Now, plugging this x=2 into equation (1), we will get......

0.80(2)+0.50y=3.60\\ \\ 1.60+0.50y=3.60\\ \\ 0.50y=3.60-1.60=2\\ \\ y=\frac{2}{0.50}=4

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