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gavmur [86]
3 years ago
5

Justin lives 3 2 5 miles from his grandfather's house. Enter the mixed number as a fraction greater than one. 3 2 5 =

Mathematics
1 answer:
elena-s [515]3 years ago
3 0

Answer: \dfrac{17}{5} miles

Step-by-step explanation:

We can express a mixed fraction as an improper fraction.

The process is as follows:

a\dfrac{b}{c}=\dfrac{ac+b}{c}

The given mixed number = 3\dfrac25 miles

This can be represented as

3\dfrac25=\dfrac{3\times5+2}{5}\\\\=\dfrac{15+2}{5}\\\\=\dfrac{15+2}{5}\\\\=\dfrac{17}{5}>1

Hence, the required fraction= \dfrac{17}{5} miles

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Vsevolod [243]

Answer:

12350%

Step-by-step explanation:

. 76 - 34 = 42

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2 years ago
How many 4 digit numbers consisting of only the digits 2,4,6 and 8 are divisible by 4
Blababa [14]

Answer:

  • digits used once: 12
  • repeated digits: 128

Step-by-step explanation:

In order for a number to be divisible by 4, its last two digits must be divisible by 4. This will be the case if either of these conditions holds:

  • the ones digit is an even multiple of 2, and the tens digit is even
  • the ones digit is an odd multiple of 2, and the tens digit is odd.

We must count the ways these conditions can be met with the given digits.

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Since we only have even numbers to work with, the ones digit must be an even multiple of 2: 4 or 8. (The tens digit cannot be odd.) The digits 4 and 8 comprise half of the available digits, so half of all possible numbers made from these digits will be divisible by 4.

<h3>digits used once</h3>

If the numbers must use each digit exactly once, there will be 4! = 24 of them. 24/2 = 12 of these 4-digit numbers will be divisible by 4.

<h3>repeated digits</h3>

Each of the four digits can have any of four values, so there will be 4^4 = 256 possible 4-digit numbers. Of these, 256/2 = 128 will be divisible by 4.

7 0
1 year ago
Read 2 more answers
Compare square root of one hundred eighty and one hundred two eighths using &lt;, &gt;, or =.
olga2289 [7]

Converting the mixed number to a decimal, the correct comparison of the numbers is given as follows:

\sqrt{180} > \sqrt{100 \frac{2}{8}}

<h3>What is a mixed number?</h3>

A mixed number is represented by an integer part and a fractional part, as follows:

a b/c.

In which:

  • a is the integer part.
  • b/c is the fractional part.

In this problem, the numbers are given as follows:

\sqrt{180}, \sqrt{100 \frac{2}{8}}

The mixed number is:

100 and 2/8 = 100 + 0.25 = 100.25.

The square root is an increasing function, hence the higher the input, the higher the square root, as 180 > 100 the comparison is:

\sqrt{180} > \sqrt{100 \frac{2}{8}}

More can be learned about mixed numbers at brainly.com/question/1746829

#SPJ1

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