Is 3 a factor of 81? Use divisibility rules to explain

Answers

Answer 1

Answer:

Step-by-step explanation:

yes it is a factor because 31 is a factor and if u add there is a one

Answer 2

Final answer:

Yes, 3 is a factor of 81 because the sum of 81's digits (8 and 1) is 9, which is divisible by 3. Also, since 81 is 3 raised to the power of 4, 3 is repeatedly a factor of 81.

Explanation:

To determine if 3 is a factor of 81, we can use the concept of divisibility. A number is divisible by 3 if the sum of its digits is divisible by 3. The number 81 only consists of the digits 8 and 1, and when added together (8 + 1), they equal 9. Since 9 is divisible by 3, so is 81. Therefore, 3 is indeed a factor of 81.

Additionally, the three-factor product rule can confirm this, as combining the factors 3, 3, and 3 (since 3 x 3 x 3 = 27, and 27 x 3 = 81), you end up with 81, which proves that 3 is a factor of 81.


Related Questions

What property is it when Segment AB is Congruent to AB

Answers

Answer:

Therefore,

[tex]Segment\ AB \cong Segment\ AB[/tex] ....Reflexive Property.

Step-by-step explanation:

Reflexive Property :

The reflexive property of equality means that anything is equal to itself. The formula for this property is a = a. This property tells us that any number is equal to itself. For example, 3 is equal to 3.

Here it is given When

[tex]Segment\ AB \cong Segment\ AB[/tex]

AB is Equal to itself, Hence it is the Reflexive Property.

Therefore,

[tex]Segment\ AB \cong Segment\ AB[/tex] ....Reflexive Property.

WHAT IS (50-2*5)+16/16

Answers

The answer is 41 since you would first do 2*5=10 so the equation in the parentheses would simplify to 50-10=40 then you would do 40+16/16 which would equal 41 because 16/16 simply is 1 so (50-2*5)+16/16=41

There are 6 buses going on a field trip. There are 30 students on each bus. When they get to the park 42 students when to the slides. 28 students went to the swings. 39 students went to the grassy area to eat lunch. How many students are left?

Answers

Answer:

There are 71 students that are left

Step-by-step explanation:

Let's calculate the number of students left this way:

Total students = 30 * 6 = 180

Students that went to the the slides = 42

Students that went to the the swings = 28

Students that went to the the swings = 39

Students left = Total students - Students that went to the the slides - Students that went to the the swings - Students that went to the the swings

Replacing with the real values, we have:

Students left = 180 - 42 - 28 - 39

Students left = 180 - 109

Students left = 71

My age is the difference between twice my age in 5 years and twice my age 5 years ago

Answers

Answer:

10

Step-by-step explanation:

20 because 20-5=15, 20+5=25, 15*2 equals 30, 25*2=50, and finally the difference between 30 and 50 is 20

The sum of the first 46 postive and odd numbers is

Answers

The sum of first 46 positive and odd numbers is 2116

Solution:

Given that we have to find the sum of first 46 positive and odd numbers

The sum of first "n" natural odd numbers which are positive is given as:

[tex]Sum = n^2[/tex]

Here, n = 46

Therefore,

sum of first 46 positive and odd numbers = [tex]46^2[/tex]

sum of first 46 positive and odd numbers = [tex]46 \times 46 = 2116[/tex]

Thus the sum of first 46 positive and odd numbers is 2116

If 7 notepads cost $3.15, what is the unit price of the notepads?

Answers

Answer:

$0.45

Step-by-step explanation:

Unit price is basically the same as unit rate. Unit rate is the cost of one item.

So $3.15 divided by seven is point fourty-five.

Answer: 45 cents

Step-by-step explanation: Unit price means the cost per unit. In this case, the cost per notepad.

Since we know that it costs $3.15 for 7 notepads, to find the cost for 1 notepad, we need to divide 7 into $3.15 or 7 into 3.15.

I used long division wish I have shown in the image attached and ended up with .45 which means that each notepad costs 45 cents.

So the unit price for 7 notepads is 45 cents.

Gorillas and chimpanzees can learn language to communicate with humans. By 2017 , a gorilla named Koko had learned 700 words. This was 50 fewer than 5 times as many as a chimp named Washoe knew a decade earlier. How many words did Washoe know?

Answers

Answer:

130

Step-by-step explanation:

700 - 50 = 650

650/5 = 130

Answer:

150 words

Step-by-step explanation:

k = 700....koko knows 70 words

k = 5c - 50....this is 50 fewer then 5 times the chimps(c)

5c - 50 = 700

5c = 700 + 50

5c = 750

c = 750/5

c = 150 <=== the chimp, Washoe, knew 150 words

A circus charges $2.50 for kids tickets and $6 for adult’s tickets. Last weekend, twice as many kids attended the circus than adults. If the ticket sales totaled $7,150, how many kids attended the circus?

Answers

The number of kids attending the circus is 1300.

Let's denote:

- ( K ) as the number of kids attending the circus.

- ( A ) as the number of adults attending the circus.

Given:

- The price of a kid's ticket is $2.50.

- The price of an adult's ticket is $6.

- The total ticket sales is $7,150.

- The number of kids attending the circus is twice the number of adults.

We can set up a system of equations based on the given information:

1. The total ticket sales:

[tex]\[ 2.50K + 6A = 7150 \][/tex]

2. The number of kids attending the circus is twice the number of adults:

[tex]\[ K = 2A \][/tex]

Now, we can solve this system of equations.

We can substitute the expression for ( K ) from equation 2 into equation 1:

[tex]\[ 2.50(2A) + 6A = 7150 \][/tex]

[tex]\[ 5A + 6A = 7150 \][/tex]

[tex]\[ 11A = 7150 \][/tex]

Now, solve for ( A ):

[tex]\[ A = \frac{7150}{11} \][/tex]

[tex]\[ A \approx 650 \][/tex]

So, the number of adults attending the circus is approximately 650.

Now, we can find the number of kids attending the circus using the expression we found for ( A ) in terms of ( K ):

[tex]\[ K = 2A \][/tex]

[tex]\[ K = 2 \times 650 \][/tex]

[tex]\[ K = 1300 \][/tex]

So, the number of kids attending the circus is 1300.

The area of triangle with a base of 4 meters and a height of 5 meters

Answers

Answer:10

Step-by-step explanation:

4 x 5 = 20

20/2 or 20 x 1/2

= 10

Answer: 10 meters squared

Step-by-step explanation:

You find the area of a triangle by doing base x height ÷2 therefore 4x5=20÷2=10

Twyla puts $1000 in a saving account that pays 4% interest, compounded monthly. How much money will in the account 11 years later if she makes no more deposits?

Answers

Answer:

  $1551.57

Step-by-step explanation:

Each month, the account balance is multiplied by 1+.04/12, so after 132 months, it will be ...

  $1000×(1 +.04/12)^132 ≈ $1551.57

Hugo is saving for a new baseball

Answers

Answer:

Step-by-step explanation:

What's the question?

$650 is invested in an account at 3%
simple interest per year. Write the
first 5 terms of the sequence that
shows the value of the account at
yearly intervals.

Answers

Answer:

Step-by-step explanation:

Simple interest = [tex]650*\frac{3}{100}=$19.5[/tex]

End of first year = 650+19.5 = $669.50

End of second year = 669.50+19.5 = $ 689

End of third year = 689+19.5 = $708.50

End of fourth year = 708.50 +19.5 = $ 728

End of fifth year = 728 +19.5 = $747.50

What is the slope of the line that passes through the points (4,8) and (2,12)?

Answers

Answer: m = -2

Step-by-step explanation: Using our slope formula, we take the second y minus the first y which in this case is 12 - 8 over our second x minus our first x which in this case is 2 - 4.

So 12 - 8 is 4 and 2 - 4 is -2. So we have 4/-2 which can be simplified to -2.

The variable that's used to represent slope is m.

So we would say m = -2.

Work is provided in the image attached.

Water leaves a spigot at a rate of 462 cubic inches per minute. How many cubic feet of water in this per hour?

Answers

the answer is 2.31 feet

How many solutions does this system of equations have?
y = –2x + 3
y = –2x – 1

Answers

Answer:

Step-by-step explanation:

in y = mx + b form, the slope is in the m position and the y int is in the b position

y = -2x + 3.....slope is -2 and y int is 3

y = -2x - 1...slope is -2 and y int is - 1

same slope, different y int's....means parallel lines...NO SOLUTION

learn this...it helps

same slope, different y int's = no solution

different slopes, different y int's = 1 solution

same slope, same y int's = infinite solutions

Final answer:

The given system of equations represents two parallel lines with the same slope and different y-intercepts, implying there are no solutions where the lines intersect.

Explanation:

The system of equations provided is:

y = –2x + 3

y = –2x – 1

These two equations represent two separate lines. To determine the number of solutions to the system, we observe the slopes of the two lines. Both equations have the same slope of –2. Because they have the same slope but different y-intercepts, these two lines are parallel and will never intersect. Therefore, the system has no solutions.

last week, the price, in dollars, of a gallon of gasoline was g. This week the price of gasoline per gallon increased by 5%. Which expressions represent this weeks price, in dollars, of a gallon of gasoline?
A. g+0.05
B. g+0.05g
C. 1.05g
D. 0.05g
E. (1+0.05)g

Answers

The price of gasoline in this week is 1.05g. Option C

Step-by-step explanation:

Given,

The price of a gallon of gasoline = g in last week.

The price of gasoline increased by 5% this week.

To find the price of gasoline this week.

Formula

If an original price of an object a increased by b% the final price will be = a×[tex]\frac{100+b}{100}[/tex]

So,

The price of gasoline in this week = g×1.05 = 1.05g

[ Please note: Here option C and E have same value. So, both are correct].

The expressions represent this week's price, in dollars, of a gallon of gasoline, is 1.05g.

Given that,

Last week the price, in dollars, of a gallon of gasoline was g.

This week the price of gasoline per gallon increased by 5%.

We have to determine,

Which expressions represent this week's price, in dollars, of a gallon of gasoline?

According to the question,

The price of a gallon of gasoline = g in last week.

The price of gasoline increased = 5% = 0.05

The expressions represent this week's price, in dollars, of a gallon of gasoline is,

= Price of gallon last week + Price of gallon increased this week

= g + 0.05g

= (1 + 0.05)g

= 1.05g

Hence, The expressions represent this week's price, in dollars, of a gallon of gasoline, is 1.05g.

For more details refer to the link given below.

https://brainly.com/question/16553745

If you are solving for x in the diagram shown, which fact would help you to set up the problem? A) Tangents touch a circle in exactly one point. B) Chords that intercept congruent arcs are congruent to each other. C) Tangent segments from the same point outside the circle are congruent. D) The product of the segments formed by intersecting chords are congruent.

Answers

Answer:

Tangent segments from the same point outside the circle are congruent. This Geometric Theorem allows you to set up the problem and solve for x.

Step-by-step explanation:

Answer:Tangent segments from the same point outside the circle are congruent. (c) i got it right on USATESTPREP

Lindsey went to the teacher supply store. She bought 10 white boards for a total of $35 and some posters for $5.40 each. If she spent $51.20 total, how many posters did lindsey buy

Answers

Answer:3

Step-by-step explanation:

Answer:

Lindsey bought 3 posters.

Step-by-step explanation:

$51.20 - $35 = $16.20

$16.20 ÷ $5.40 = 3 Posters

While traveling to his grandma for his George fell asleep a fifth of the way through the journey when he awoke he still had to travel a quarter of the distance that he had traveled while sleeping. For what part of the journey had he been asleep

Answers

Answer:

George fell asleep when he had traveled 1/5 of the total distance, slept 3/5 of the distance and he awoke up when he's still 1/5 away from his grandma

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

George fell asleep a fifth of the way

He awoke up when he still had to travel a quarter of the distance that he had traveled while sleeping

2. For what part of the journey had he been asleep?

George fell asleep a fifth of the way: 1/5 of the total distance traveled and 4/5 of the distance away from his grandma

When he awoke up = 1/4 * 4/5 = 1/5

He had been asleep = 5/5 - 1/5 -1/5 = 3/5

It means George fell asleep when he had traveled 1/5 of the total distance, slept 3/5 of the distance and he awoke up when he's still 1/5 away from his grandma

Identify the x-intercept and y-intercept of a line with the equation -3x+6y=12 and use these points to graph the line below.

Answers

Answer:

x-intercept: -4

y-intercept: 2

Step-by-step explanation:

ax+by=c

divide c by a and then c by b

-3x+6y=12

X-intercept: 12/-3= -4

Y-intercept: 12/6=2

Answer:

Step-by-step explanation:

if ur gonna graph it, u should put it in y = mx + b form

-3x + 6y = 12

6y = 3x + 12

y = 3/6x + 12/6

y = 1/2x + 2

in y = mx + b form, the slope is in the m position, and the y int is in the b position.

y = mx + b

y = 1/2x + 2.....so ur slope (which will help u in graphing) is 1/2, and ur y intercept is 2 or (0,2) <===

u could also find ur y intercept by subbing in 0 for x and solving for y...in ur original equation.

to find ur x intercept, sub in 0 for y and solving for x

-3x + 6y = 12

-3x + 6(0) = 12

-3x = 12

x = -12/3

x = -4...so ur x int is -4 or (-4,0) <=====

What is the slope of the line represented by the equation y =
x - 3?

Answers

Answer:

The slope of the line is: 1

The y-intercept is: -3

You can graph the line using the slope and y-intercept, or two points.

Answer:

1.

Step-by-step explanation:

The general form of a line is y = mx + c   where m = the slope.

y = x - 3

or we can write it as y = 1x - 3

- so the slope is 1.

A TUB USES 20 GALLONS. a shower uses 15 gallons. if 40 people take a bath instead of a shower, how much extra water is used?

Answers

Answer:

200 additional gallons of water are used when 40 people take a bath instead of a shower

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of water used when we take a bath = 20 gallons

Amount of water used when we take a shower = 15 gallons

Number of people who wants to take a bath = 40

2.  How much extra water is used?

Extra water is used = Number of people * (Amount of water used when we take a bath - Amount of water used when we take a shower)

Replacing with the real values, we have:

Extra water is used = 40 * (20 - 15)

Extra water is used = 40 * 5 = 200 gallons

there is 800 gallons used

After 2 weeks of training Amanda learned a total of 5 appetizer recipes after 6 weeks of training how much appetizers will she learn?

Answers

2 weeks= 5
2weeks =5
2weeks= 5
If you add the weeks you get 6 weeks so add the three 5’s and you get 15 appetizers
Final answer:

Amanda learns 2.5 recipes per week, so over 6 weeks of training, she would be expected to learn 15 appetizer recipes.

Explanation:

To establish the rate of Amanda learning new appetizer recipes, we need to determine the relationship between time (in weeks) and the number of recipes she learned. After 2 weeks of training, she learned 5 recipes, so we can assume that she learns at a rate of 5 recipes per 2 weeks, or 2.5 recipes per week.

Consequently, to estimate how many recipes she will learn after 6 weeks, we multiply the rate by the amount of weeks, which is: 2.5 recipes per week * 6 weeks = 15 recipes. Therefore, Amanda would be expected to learn 15 appetizer recipes after 6 weeks of training.

Learn more about Rate Calculation here:

https://brainly.com/question/16549128

#SPJ3

A and B are two events.

Given that P(A)=0.25 , P(B)=0.3 and P(AandB)=0.05 .

Drag and drop the answers into the boxes.

Answers

Events A and B are not independent because [tex]P(A / B) \neq P(A)[/tex]

Step-by-step explanation:

Given that [tex]P(A)=0.25[/tex], [tex]P(B)=0.3[/tex] and [tex]P(A \text { and } B)=0.05[/tex]

Two events are said to be independent events, if it satisfies any one of the following conditions,

[tex]P(A / B) = P(A)[/tex] or [tex]P(B / A) = P(B)[/tex] or [tex]P(AB)=P(A)P(B)[/tex]

First, let us substitute the values in the equation [tex]P(A / B) = P(A)[/tex]

The formula to find [tex]P(A / B)[/tex] is [tex]P(A / B)=\frac{P(A \cap B)}{P(B)}[/tex]

Substituting the values, we get,

[tex]P(A / B)=\frac{0.05}{0.3} =0.1667[/tex]

But [tex]P(A)=0.25[/tex]

Hence, [tex]P(A / B) \neq P(A)[/tex]

Thus, A and B are not independent events.

There are 3 consecutive integers with a sum of 18. Which integers are they?

Answers

Answer:

5, 6, 7

Step-by-step explanation:

5+6+7=18

Answer:

5+6+7

Step-by-step explanation:

Intergers: Three consecutive integers)

18 = (X-1) + (X) + (X+1)

18 = 3X

X = 6

SUbstitute =

(6-1) + (6) + (6+1)

5+6+7

= 18

F(7) if f(x)=5x

Answer_______

Answers

35 because 5(7)= 35

Answer:

35

Step-by-step explanation:

put 7 instead x and it will be 5*7 that is 35

In a vial containing 5/6 parts, you withdraw 1/12. How many parts remain?

Answers

3/4 parts or 9/12 parts

11/3 divided by what equals 11 it has to be a fraction

Answers

Answer:

1/3

Step-by-step explanation:

We can solve using algebra: let x be the unknown number.

so 11/3 ÷ x = 11.

Solving:

11/3 = 11x.

x = 11/3 ÷11  = 1/3

You can also check the answer by going:

11/3 ÷ 1/3 = 11/3 x 3/1  = 33/3 = 11 (using fraction rules for multiplying and dividing ie. to divide by a fraction we multiple by it's reciprocal, and to multiply by a fraction, we multiple the numerators and the denominators).

11/3 divided by 1/3 so that it will be equals to 11.

When facing a division problem like 11/3 divided by what equals 11, we need to find a number which, when 11/3 is divided by it, gives us the result of 11. To solve this, let's set up an equation where the unknown number is represented by a variable, such as 'x':

11/3 ÷ x = 11

To find 'x', we need to isolate it. This can be done by multiplying both sides of the equation by 'x', and then dividing both sides by 11 to solve for 'x'.

(11/3) ÷ x = 11

(11/3) ÷ x × x = 11 × x

11/3 = 11x

Now we divide both sides by 11 to get:

x = (11/3) ÷ 11

x = 1/3

So, the fraction that you must divide 11/3 by to get 11 is 1/3.

If 13 is added to a number and the sum is doubled the result is -10 less than the number

Answers

Equation for solving: (13+x)2= -10-x

Step one: 26+2x=-10-x

step two: 26+3x=-10

step three: 3x=-36

answer: -12

What is the LCM of 2 and 5?

Answers

Answer:

Step-by-step explanation:

10

Answer:

10

Step-by-step explanation:

Since 2 and 5 are co-prime then

LCM(2 , 5) = 2×5 = 10

:)

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