All categories

3 years ago

Among the following, a perfect number a) 6 b)28 c) 625 d) 100

Mathematics

2 answers:

Gnesinka [82]3 years ago

8 0

<h3>Answer: A) 6 and B) 28</h3>

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

Explanation:

By definition, a perfect number is one where the factors smaller than itself add to the number in question.

The factors of 6, smaller than 6, are {1,2,3}. We can see that 1+2+3 = 6. Therefore, 6 is a perfect number.

Similarly, 1+2+4+7+14 = 28 showing that 28 is also a perfect number.

------

The factors of 625, that are smaller than 625, are 1,5,25,125. They add to 1+5+25+125 = 156. This isn't equal to 625, so 625 isn't a perfect number.

A similar issue happens with 100 as well. The smaller factors are 1,2,4,5,10,20,25,50, meaning we get a sum of 1+2+4+5+10+20+25+50 = 117, which is too large.

------

The first four perfect numbers are: {6, 28, 496, 8128}

Verdich [7]3 years ago

6 0

Answer:

28 and 6

Step-by-step explanation:

List the factors (excluding itself):

6: 1, 2, 3,

28: 1, 2, 4, 7, 14

Add them up!

1+2+3=6

1+2+4+7+14=28

if they add up to the original number then the number is perfect.

You might be interested in

What's the conversion factor used to convert inches to yards

larisa [96]

We have to determine the conversion factor used to convert inches to yards. Yard and inch are US and British customary length units. We know that 1 yard = 3 feet = 36 inches. So we just have to divide 1 by 36. 1 : 36 = 0.027777.... ( more accurate with more decimal digits ). For example: 54 yards = 54 * 0.0277777 = 1.4999958 ( approx. 1.5 ). Answer: The conversion factor is: 0.0277777... <span> </span>

8 0

3 years ago

Find the value of (3 + 4)2

elena55 [62]

Answer:

Step-by-step explanation:

We solve this by using 2 to open the bracket

(3+4)2 is the same as 2(3+4)

2(3)+2(4)

=6+8

=14

(3+4)2 is the same as 2(3+4)

So we can solve the one inside the bracket first

=2(7)=14

6 0

3 years ago

Could a square with whole number side lengths have the same perimeter as the dog pen? The same area

Jobisdone [24]

Answer:yes

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

an ice cream company did a survey among high school students. it was found that 86 students liked vanilla ice cream and 48 of th

Kitty [74]

Answer:

300

Step-by-step explanation:

Students like Vanilla ice cream = 86

Out of 86 Students like chocolate ice cream too = 48

So, No. of students who like only vanilla=86-48 = 38

There were 12 students who did not like vanilla ice cream but liked chocolate ice cream.

There were 2 students who did not like either vanilla ice cream or chocolate ice

Like Vanilla Did not like vanilla Total

Like Chocolate 48 12 60

Did not like chocolate 38 2 40

Total 86 14 100

No. of students who like chocolate out of 100 = 60

Now we are supposed to find the number of students who would like chocolate ice cream when 500 high school students participate in the survey.

Let x be the number of students out of 500 who like chocolate

So, A.T.Q

$\frac{60}{100}=\frac{x}{500}$

$\frac{60}{100} \times 500=x$

$300=x$

Hence the number of students who would like chocolate ice cream when 500 high school students participate in the survey is 300.

4 0

3 years ago

If cos theta = 3/5 then tan theta =

algol13

Answer:

3 √5

Step-by-step explanation:

7 0

3 years ago

Among the following, a perfect number a) 6 b)28 c) 625 d) 100​

Among the following, a perfect number a) 6 b)28 c) 625 d) 100