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svetoff [14.1K]
3 years ago
9

I don't understand rational and irrational numbers

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0

A rational number is a number which can be expressed as a fraction whose numerator and denominator are both integers and whose denominator is not equal to zero. Rational numbers include all integers, fractions, mixed numbers, and some decimal numbers.

 

Note : All terminating and repeating decimal numbers are rational numbers because those numbers can be expressed as a fraction. On the other hand, a non repeating number and non terminating decimal, like square root of 2, is an irrational number.  


\dfrac{7}{16} \ as \ a \ decimal = 0.4375


Set \ up \ the \ long \ division. 


Calculate \ 70 \div 16, \ which \ is \ 4  \ with \ a \ remainder \ of \ 6.




Bring \ down \ 0, so \ that \ 60 \ is \ large \ enough \ to \ be  \ divided \ by \ 16.




Calculate \ 60 \div 16, which \ is \ 3 \ with \ a  \ remainder \ of \ 12.




Bring \ down \ 0, so \ that \ 120 \ is \ large \ enough \ to \ be \ divided \ by \ 16.




Calculate \ 120 \div 16, which \ is \ 7 \ with \ a \ remainder \ of \ 8.




Bring \ down \ 0, so \ that \ 80 \ is \ large \ enough \ to \ be \ divided \ by \ 16.



Calculate \ 80 \div 16, which \ is \ 5. 

<span>
</span>

Decimal = 0.4375&#10;

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7% of what lenght is 200 ft?
Nastasia [14]
If you would like to solve 7% of what length is 200 ft, you can calculate this using the following steps:

7% of what length is 200 ft
7% * x = 200
7/100 * x = 200      /*100/7
x = 200 * 100 / 7
x = 2857 ft

Result: 7% of 2857 ft is 200 ft.
5 0
3 years ago
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The life of light bulbs is distributed normally. the standard deviation of the lifetime is 25 hours and the mean lifetime of a b
Dominik [7]
The probability is 0.8997.

We will use a z-score to answer this question.  z-scores are given by the formula
z=\frac{X-\mu}{\sigma}

With our information, we have
z=\frac{622-590}{25}=\frac{32}{25}=1.28

Looking this up in a z-table (http://www.z-table.com) we see that the area to the left of this (everything less than, up to this value) is 0.8997.
4 0
3 years ago
Y=4x-6 and passes through point 8,12
umka2103 [35]

Answer:

Slope of required line if both lines are parallel: y=4x-20

Slope of required line if both lines are perpendicular: y=-1/4x+14

Step-by-step explanation:

We need to find equation of line while we are given another line having equation y=4x-6 and passes through point (8,12)

<u><em>Note: Since it is not given if the required line is parallel or perpendicular to the given line. I will solve for both cases.</em></u>

If Both lines are parallel the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are parallel there slopes are same

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=4

Now finding y-intercept

Using slope m=4 and point (8,12) we can find y-intercept

y=mx+b\\12=4(8)+b\\12=32+b\\b=12-32\\b=-20

y-intercept of new line is: b=-20

Equation of required line having slope m=4 and y-intercept b=-20 is

y=mx+b\\y=4x-20

If Both lines are perpendicular the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are perpendicular there slopes are opposite of each other

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=-1/4

Now finding y-intercept

Using slope m=-1/4 and point (8,12) we can find y-intercept

y=mx+b\\12=-\frac{1}{4} (8)+b\\12=-2+b\\b=12+2\\b=14

y-intercept of new line is: b=14

Equation of required line having slope m=-1/4 and y-intercept b=14 is

y=mx+b\\y=-\frac{1}{4} x+14

8 0
3 years ago
A bus is traveling at a constant speed. If the bus trvaels 15 1/2 miles in 1/3 of an hour, how many miles will the bus travel in
Dima020 [189]

Answer:

46.5

Step-by-step explanation:

convert 15 1/2 to 15.5

multiply it by 3 because it moves 15.5 milea every 1/3 of an hour

5 0
2 years ago
Find the least common multiple of the set of numbers
stich3 [128]

Answer:

72

Step-by-step explanation:

plz mark brainliest :D

7 0
3 years ago
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