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Alinara [238K]
3 years ago
6

Why is the ratio of two integers always a rational number?

Mathematics
2 answers:
disa [49]3 years ago
6 0

Answer: By definition, that is why they are called rational. They usually look like fractions: an integer in the numerator and an integer in the denominator.

Step-by-step explanation: Decimal equivalents of fractions are also rational numbers. Some decimal equivalents are not actually rational because the values they represent are not rational. For example: Pi. and the square roots of most integers 2,3,5,6...

Ket [755]3 years ago
5 0

Answer: Rational numbers are numbers that can be written as a ratio of two integers.

Step-by-step explanation:

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The difference of the product of 3 and m<br> minus the quotient of m divided by 2<br> m=6
s2008m [1.1K]

Answer:5m/2

Step-by-step explanation:

3m-m/2

(2×3m-1×m)/2

(6m-m)/2=5m/2

5 0
3 years ago
Miranda and Jean are planning a trip together. They want to drive, but they're not sure whose car to take. Jean's car uses gallo
e-lub [12.9K]

Jean's car :

(12 1/2) / (5/12) =

(25/2) / (5/12) =

25/2 * 12/5 =

150/5 = 

30 miles per gallon

Miranda's car :

(20 5/7) / (5/7) =

(145/7) / (5/7) =

145/7 * 7/5 =

145/5 =

29 miles per gallon

most fuel efficient is Jean's car....it gets 30 miles per gallon

3 0
3 years ago
Read 2 more answers
Sushil is 6 years older than Brian. Caroline is 5 years younger than Brian. If the total of their ages is 64, how old is the you
Nadusha1986 [10]

Answer:

16 years old

Step-by-step explanation:

Let's use the letters s, b, and c for Sushil, Brian, and Caroline's ages. Sushil is the oldest, followed by Brian, and then Caroline, the youngest. From the problem description, we can set up three equations:

s = b + 6 <em>(Sushil is 6 years older than Brian)</em>

c = b - 5 <em>(Caroline is 5 years younger than Brian)</em>

s + b + c = 64 <em>(The total of their ages is 64)</em>

Since s and c are already in terms of b, we can substitute them into the last equation and solve to find Brian's age:

(b + 6) + b + (b - 5) = 64

3b + 1 = 64

3b = 63

b = 21

Now that we know Brian's age, we can simply subtract 5 to find Caroline's:

c = b - 5 = 21 - 5 = 16 years old.

8 0
2 years ago
What does Fish equal?<br> A Nothing <br> B 2+2<br> C More Fish
zhuklara [117]

Answer:

A nothing

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Find the 75th term of the arithmetic sequence -17, -13, -9....
Sphinxa [80]

Answer:

The 75th term of the arithmetic sequence -17, -13, -9.... is:

a_{75}=279

Step-by-step explanation:

Given the sequence

-17, -13, -9....

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

computing the differences of all the adjacent terms

-13-\left(-17\right)=4,\:\quad \:-9-\left(-13\right)=4

The difference between all the adjacent terms is the same and equal to

d=4

The first element of the sequence is:

a_1=-17

now substitute d=4 and a_1=-17 in the nth term of the sequence

a_n=a_1+\left(n-1\right)d

a_n=4\left(n-1\right)-17

a_n=4n-21

Now, substitute n = 75 in the a_n=4n-21 sequence to determine the 75th sequence

a_n=4n-21

a_{75}=4\left(75\right)-21

a_{75}=300-21

a_{75}=279

Therefore,  the 75th term of the arithmetic sequence -17, -13, -9.... is:

a_{75}=279

3 0
3 years ago
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