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Daniel [21]
3 years ago
6

One positive integer is 5 times another positive integer and their product is 320. What are the positive integers?​

Mathematics
1 answer:
NeTakaya3 years ago
7 0
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
x = 5y
xy = 320

Substitute the first equation into the second equation
(5y)(y) = 320
5y^2 = 320
y^2 = 64
y = 8 (y must be positive)

The integers are (x, y) = (40, 8).
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Answers:

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

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

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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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