Why are the divisibility rules for 2, 3, and 5 very useful for determining prime and composite numbers

1. They are the smallest odd numbers
2. They add up to 10
3. They are prime numbers with nice divisibility rules
4. They multiply to 30
5. They can be multiplied together to make every number

Answers

Answer 1

Answer:

option 3.

Step-by-step explanation:

alright, ima explain each option.

1. "smallest odd numbers" 2 is an even number. that's out of the playing field.

2. "add up to 10" sure, they do add up to 10, but finding prime and composite numbers are all about division and multiplication.

3. this is true. 2, 3, and 5 are all prime numbers, and they have the nice divisibility rules. [ for 2, it has to be even, for 5, it has to end in 0 or 5, and 3 has to have the sum of its digits being divisible by 3. ]

4. they do multiply to 30, but this does not help break the composite numbers down.

5. we cannot make every number with just these. we can not multiply any other whole number to get 7 for per example, because it's a prime number.

sub to gauthmath sub reddit if ya can !

Answer 2
They are prime numbers with nice divisibility rules

Related Questions

5. Rectangle ABCD is graphed in the coordinate plane. The following are vertices of the rectangle: A(-1,-6), B(-1,-7), C(1,7), and D(1,-6). Given these coordinates, what is the length of side AB in this triangle? On the lines below, provide the length of the side as well as your reasoning for how you arrived at your answer.​

Answers

Answer:

The legnth of side AB would be 3 units

Step-by-step explanation:

First, you would determine that both point A and point B would have the same y-coordinate of 1.   Then you would determine the difference between the x values of points A and B.  Since 5 (the x-value for B) minus 2 (the x-value for A) is 3, the legnth of side AB would be 3 units.

“Model a desert community where 60% is houses, 10% is shops, and 30% is parks.”

Answers

Answer:

house are 60 squares

shops are 10 squares

and parks are 30 squares

I think because it can be a wrong answer

any way best of luck

60, and 10 square 30 squares

The table below shows the number of cruise ships in a harbor on various days.
(table pic attached)

a. Write an expression for the total number of cruise ships in the harbor on Monday and Tuesday.

b. Write an expression for the total number of cruise ships in the harbor on all 5 days.

Answers

part a is 2x+5 because you add monday’s equation and tuesday’s
part b is 7x+2 because you add all equations together

Absolute Value – how far or the
[ Select ] Answer | Counter | Number | or distance
a number is from zero.

Answers

Answer:

The last answer or Distance a number is from zero

Step-by-step explanation:

It's this answer because absolute value is just how far a number is from zero for example | -1 | is equal to 1 because -1 is 1 away from zero. Hope this helps :)

Answer:

The last answer or Distance a number is from zero i think i dont know

Step-by-step explanation:

........................ Need a answer quick

Answers

Answer:

it's d

Step-by-step explanation:

just cound how many numbers there are between the steps (there are 2 spaces between 1 and 3, and there are 4 spaces between -1 and 3)

d i think. A is 2, B is 4

A 1400-seat theater sells two types of tickets for a concert. Premium seats sell for $30 each and regular seats sell for $20 each. At one event $33,950 was collected in ticket sales with 10 seats left unsold. How many of each type of ticket was sold?

Answers

Answer:

x = 638

y = 1190 - 638 = 552

Step-by-step explanation:

Let x = premium seats

let y = regular seats

x + y = 1190         (ten were not sold

30x + 20y = 30180    (amount collected

now multiply the first equation by 20 and subtract

20x + 20y = 23800

30x + 20y = 30180

-10x = -6380

x = 638

y = 1190 - 638 = 552

check it by multipying x and y by their price to see if you come up with the correct amount

Hope this helps

premium seats sold : 638
Regular seats sold: 552

Please answer my question and explain it.

Answers

Answer:  Choice D

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

Work Shown:

4  1/2 = 4 + 1/2 = 4 + 0.5 = 4.5

In short, 4  1/2 cups is the same as 4.5 cups

---------

1 cup = 8 fluid ounces

4.5*(1 cup) = 4.5*(8 fluid ounces) .......  multiply both sides by 4.5

4.5 cups = 36 fluid ounces

Answer:

D

Step-by-step explanation:

which o fht e following numbers is the closest to 5? 22.26. 23. 28

Answers

Answer:

the answer is 23 because the number that

5 can divide is 25 so their is no 25 then you choose the number that is the closest

The answer is 23 pls put me for brainliest pls bc I need five brainliest so I can rank up pls

what comparison does the ratio 6 to 21 represent​

Answers

Answer:

3:7

Step-by-step explanation:

hope it help you....

Answer:

2:7

Step-by-step explanation:

You have to find the common denominator and divide both numbers by that for example: 6 and 21 they can both be equally divided by 3 without becoming a fraction or a decimal.(Pls do correct me if i'm wrong don't be scared to)

20 POINTS!!

A. Make an organized list to represent the sample space of tossing a coin and picking a number between 1 and 5, inclusive. [Hint: Inclusive means that 1 and 5 may be picked.]

B. In your list from A, which are favorable outcomes of the following event: choosing an odd number?

Answers

Answer:

A.  3 (1,2,3,4,5) B 60%

Step-by-step explanation:

Answer:

a) {1H,2H,3H,4H,5H,1T,2T,3T,4T,5T} b) 1H,3H,5H,1T,3T,5T

Step-by-step explanation:

a)

sample space is basically all possible outcomes in a list so {1H,2H,3H,4H,5H,1T,2T,3T,4T,5T}

b)

favorable outcomes of choosing an odd number are the outcomes with odd numbers so 1H,3H,5H,1T,3T,5T

Whats the answer to the question...

Answers

Answer:

first graph equation is (0,5)

second graph equation is(-6,0)

The Answer is (0,5)(-6,0)

If f(x) = -3x - 2
find f(-2) + 9

Answers

Answer:

f(-2) + 9 is 19

Step-by-step explanation:

[tex]f(x) = - 3x - 2[/tex]

when x is -9:

[tex]f( - 2) = - 3( - 2) - 2 \\ f( - 2) = 10[/tex]

sum up with 9, f(-2)+9:

[tex]f( - 2) + 9 = 10 + 9 \\ = 19[/tex]

It shluld be 19 i think

Are the ratios 5:4 and 8:2 equivalent? yes or no

Answers

Answer:

no

Step-by-step explanation:

no its no

Answer:

I believe no

Step-by-step explanation:

I believe it is no but I could be wrong...if I am wrong I am very sorry and hope you can forgive me

Simplify the expression 2x(4 + x - 9 + 3x)
A. 8x - 10
B. -2x²
C. -10x²
D. 8x² - 10
E. 8x² - 10x

Answers

Answer:

E. 8x² - 10x

Step-by-step explanation:

4+x-9+3x

=x+3x+4-9

=4x+4-9

=4x-5

=2x(4x-5)

=8x² - 10x

E. 8X^2-10x ! hope this helps

Rewrite using a negative exponent.

1/3^2

Answers

Answer:

1/9 or 3^-2

Step-by-step explanation:

Ignore the value of 1/3 for now and just focus on the 3^2.

Find 3^2:

3*3 = 9

Now 9 is the denominator, therefore our answer would be 1/9 once you reassemble the fraction.

Because 1/9 is our new fraction, we can use a negative exponent to create the same result. This is because the negative exponent rule tells us that a number with a negative exponent should be put to the denominator. Therefore we can then use 3^-2.

Answer:

3^-2

Step-by-step explanation:

PLEASE TRY TO HELP SOLVE EITHER ONE (OR BOTH). THX!
1. Take an 13 by 8 rectangular grid. Color each of the 1 by 1 cells either solid red, solid white, or solid blue. Show that there are at least two 2 by 2 squares in the grid that are colored exactly the same.
2. Every day of the 10-week summer break, Pamela ate 1 or 2 carrots. Over the course of the summer, she ate a total of 100 carrots. Show that there was an interval of days during the summer break during which Pamela ate exactly 35 carrots.

Answers

Answer:

p and q are two numbers.whrite down an expression of.

Answer:

I’m doing second one

Step-by-step explanation:

I’m confused what  the first question is asking for but for the second one is it took her 25 days to eat 35 carrots

I know how to find the distance of two coordinates but not three could someone help me on this??

Answers

Find distance between R and S and then between S and T and add them together
Answer:

12 units

Step-by-step explanation:

Step 1. Find the distance between R(-1, 4) and S(5, 4)

Answer: 6

Reason: from -1 to 5, it’s 6 units.

Step 2. Find the distance between S(5, 4) and T(5, -2)

Answer: 6

Reason: from -2 to 4, it’s 6 units

Step 3. Add the distance between R to S and S to T.

Answer: 12 units

Reason: R to S = 6 units. S to T = 6 units.

6 + 6 = 12 units

What is the initial value of the function represented by this graph?

1
5
6
7

Answers

Answer:

the inital value is one.

Step-by-step explanation:

So basically, the initial value is just the value of y when x is zero. In this case, its 1 this point on the graph where x=0 is also known as the y intercept. Hope that helped.

Number 1 because the arrow from 6.7 is pointing to the other side with 0.1 removing the 0 would be 1

explain how to find the difference between 9^10/9^11 and 9^11/9^10

Answers

Answer:

jhv

Step-by-step explanation:

kjbb

The expression (F - 32) • 5/9 can be used to convert a temperature from Fahrenheit to Celsius.

1. Find the temperature in Celsius if it is 50°F.

2. Find the temperature in Celsius if it is -10°F.

Answers

Answer:

1.) 10

2.) 14

Step-by-step explanation:

1. 50-32= 18•5/9= 10*C

2. -10-32= -42•5/9= -23.33*C

Please Help Me! I will give brainly!!


The distance from your front door to the mailbox is 18 4/5 meters. The distance from your front door to your basketball hoop is 13 7/10 meters. How much farther from your front door is the mailbox than the basketball hoop?

Answers

Answer:

5 1/10 meters

Step-by-step explanation:

18 4/5 can be changed to 18 8/10 so

18 8/10 - 13 7/10 = 5 1/10 meters

5 1/10 meters ahhhhhhhhhhhh

Please help me fast! I will give brainly

This is the question,

YOU BE THE TEACHER Your friend says that because of the order of operations, the expressions are equivalent. Is your friend correct?

10-(5x2)+7 or 10-5x2+7

Yes or No

And Explain the answer

Answers

Answer:

He's correct.

Step-by-step explanation:

As long as there is no change in sign of the variables.

10-(5x2)+7 or 10-5x2+7

Question 1
Click the refresh button until you get a right triangle with A as the right angle. Fill in the fraction forms of sin B, cos B, tan B and then the
associated measure of B using sin^-1, cos^-1, and tan^-1, rounded to three decimal places each. Then fill in the fraction forms of sin C, cos C, tan C, and the associated measure of C using sin^-1, cos^-1, and tan ^-1 rounded to three decimal places.

Answers

x=width of pool

2x=length of pool

the dimensions of the rectangle forming the walkway and the pool are x+4 and 2x+4

the area of this rectangle minus the area of the pool is 196 square feet

(2x+4)(x+4)-(x)(2x)=196

2x^2+4x+8x+16-2x^2=196

combine similar terms

12x+16=196

12x=196-16

12x=180

x=180/12

x=15 feet is the width of the pool

check: 34*19-30*15=196

646-450=196

196=196

Answer:

Step-by-step explanation:

Gina wants to solve the following proportion.


a / 5/8 = 3/5 / 2/3


A. explain how to solve the problem.

B. solve the proportion. show your work.

Answers

Step-by-step explanation:

please don't understand the question. will be happy if you take a shot of it.

Thanks

a/5/8 = 3/5 / 2/3

We can take the reciprocal of the denominator, since the denominator itself is a fraction

The above equation can be rephrased as,
(a) / (5/8) = (3/5) / (2/3)

Taking reciprocal

8a / 5 = 3*3 / 5*2

8a / 5 = 9 / 5*2

a = 9 * 5 / 5*2*8

5’s get canceled, 2 and 8 gets multiplied in the denominator.

We will then be left with,

a = 9 / 16


I have also verified it and got the right answer.

I will put brainlyness answer please help me I really need it ASAP

Answers

The origin is the point (0,0) where the x and y axis intersect. To get to the point (-1,1) start at the origin, move one unit to the left and one unit up. To get to the point (1,-1.5) start at the origin and move one unit right and down one and a half. To get to the point (2, 1/4) start at the origin and move 2 units right and up one fourth of the way to 1.

a single piece of sod is typically rectangular in shape and measures 46 cm wide and 1.5 m long. Assuming that you can cut the sod, how many pieces of sod would be required to cover the following lawn?

Answers

The question is incomplete

Answer:

could you add more information?

Step-by-step explanation:

I really need help with this question please!

Answers

Answer:

y = -2x+7

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b  where m is the slope and b is the y intercept

y = -2x +b

Substitute the point into the equation and solve for b

5 = -2(1)+b

5 = -2+b

Add 2 to each side

5+2 = -2+b+2

7=b

y = -2x+7

The answer is y=2x+3 d cause it helps

A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

What is the total distance the monkey has traveled when she completes her 25th swing? Round your final answer to the nearest meter.

Answers

The total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

In first swing = 10 m

In second swing = (9/10)10 m = 9 m

In the second swing = (9/10)9 =81/10

10, 9, 81/10,..

This is the geometric sequence with the first term being 10 and the common ratio being 9/10.

a = 10

r = 9/10

The sum of geometric sequence up to 25th terms:

S = a(1 - rⁿ)/(1 - r)

S = 10(1 - (9/10)²⁵)/(1 - 9/10)

S = 92.82 m

Thus, the total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ5

Please help me with this question. Please, this is due today. Helppppp meeee

Answers

Answer:

6by6by8

Step-by-step explanation:

Answer:

6m

6m

8m

Step-by-step explanation:

calm down ...

don't let a strange problem description overwhelm you right away.

always try to work with the things you know first. and only when you run into something you really don't know, start thinking.

so, perimeter.

your know, what a perimeter is ? it is the circumference. all the side lengths added together. the answer to "how much distance would you have to go, to walk all the way around it one time".

so, what is the circumference of the square based on what we know ?

well, it has 4 equal sides, right ? otherwise it would not be a square.

so, the perimeter is 4×(x+2) = 4x + 8

that is perfectly fine.

now to the next part we know.

the perimeter of the triangle is the sum of its 3 sides (otherwise it would not be a triangle).

an isoceles triangle is a special triangle that has 2 equal sides.

so, we actually know all 3 sides (at least relatively) :

x+3

x+5

and ... another

x+3 (because of the isoceles property)

so, the perimeter is

x + 3 + x + 3 + x + 5 = 3x + 11

alright.

and now we also know that both perimeters are of equal length.

what did that mean ?

that both expressions deliver the same result.

therefore,

4x + 8 = 3x + 11

aha !

x = 3

bingo !

therefore, the side lengths of the triangle are

x+3 = 3+3 = 6 (both sides in the top)

x+5 = 3+5 = 8

and that's all there is to it.

it is really not necessary to panic don't you think ?

A square of 81cm² is cut to make two rectangles, A and B
The ratio of area A to are B is 2:3
Work out the dimensions of A and B

Answers

Answer:

Length of A: 9

Width of A: 6

Length of B: 9

Width of B: 3

Step-by-step explanation:

If you look at the diagram, you can see that the length of rectangles A and B are the same, and are also the same as they were in the original square. We can find the length of each side by finding the square root of the area of the square to give us the length and width of the square which is 9. Now that we know that the length of both rectangles A and B, we can find the width of both rectangles by taking 9, and splitting it into 3 portions of 3. Since the ratio of area is 2:1, we could also do this with the area, but since we know the lengths are the same, we know the widths are proportional to the area. Using the ratio of 2:1, and the 3 portions of 3, you can combine 2 of these portions to get 6, and since the ratio 6:3 is proportional to 2:1, these measurements can be used as the width of each rectangle. Thus, the answer given above.

Answer:

Length of A: 9

Width of A: 6

Length of B: 9

Width of B: 3

Step-by-step explanation:

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