Mathematics Middle School

Part 1:Is it possible for a composite number to have more than one prime factorization? Is it possible for a number to have no prime factors? Why?

Part 2: Give an example of how prime factorization could be used in the real world.

Answers

Answer 1

There is only 1 set of prime factors for any number

A prime number can be divided evenly only by 1 or itself, so it would not have any prime factors


Part 2

Prime factorization is used by people who try to make or break secret codes made with numbers, because factoring really large numbers is difficult and can take computers a long time to do it.


Answer 2

Answer:

Part 1:Is it possible for a composite number to have more than one prime factorization?

Answer: No.

Is it possible for a number to have no prime factors? Why?

Answer: Yes. The number 1 has no prime factors, and 1 is not prime.

Part 2: Give an example of how prime factorization could be used in the real world.

Answer: A carpenter needs to add two lengths to cut a piece of wood. One length is 5 1/16 inch, and the other length is 3 3/10 in. By using prime factors of 16 and 10, he can find the least common denominator of 16 and 10, and he can add the lengths together.

Step-by-step explanation:

Related Questions

match the equation with it's graph -4×-2y=8

Answers

The equation given is: -4x - 2y = 8
we will reorder the equation to in the form of y = mx + c

-4x - 2y = 8
-4x -8 = 2y
y = -2x -4

Now, we will need to generate some points that belong to the graph in order to be able to draw the line.
To do this , we will assume values for x, substitute with these values in the equation and then get the corresponding y.
Doing this, these points will be generated:
(-5,6)
(-4,4)
(-3,2)
(-2,0)
(-1,-2)
(0,-4)
(1,-6)
(2,-8)
(3,-10)
(4,-12)
(5,-14)
Plotting these order pairs on the graph will generate the line shown in the attached image.
Hope this helps :D

What is the answer to 2x^3 x 3x^-2?

Answers

Answer:

  6x

Step-by-step explanation:

The rule of exponents that applies is ...

  (a^b)(a^c) = a^(b+c)

__

  (2x^3)(3x^-2) = (2)(3)(x^(3-2)) = 6x

_____

It can be confusing when you use x both for a variable and a math operator. There are other ways to indicate multiplication, and there are other letters you can use for a variable.

If your middle x is actually intended to be a variable, then the result is 6x².

What is the side length of a cube with a volume of 64 mm3? Cube V = s3   1. Substitute the value into the formula:      64 = s3 2. Undo the cube by applying the cube root:    3√64 = 3√s3   What is the side length of the cube? mm

Answers

The answers is 4mm for the side length of the cube.

The volume of a cube is given as 64 cubic mm then the side length of the cube is 4 mm.

What is the volume of a cube?

The volume of a cube can be calculated as the cube of the sides of a given figure.

The volume of a cube =[tex]sides^3[/tex]

We have been given that the volume of a cube is 64 cubic mm. We need to find the side length of the cube.

The volume of a cube =[tex]sides^3[/tex]

                                 64  = [tex]sides^3[/tex]

Now we will take cube-root on both sides of the equation;

∛ 64 = ∛ [tex]sides^3[/tex]

∛ 4^3 = ∛ s^3

4 = s

Therefore, the side length of the cube is 4 mm.

Learn more about volume;

https://brainly.com/question/1578538

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Corey has 16 cups of flour to make cookies. one batch of cookies takes 2.5 cups of flour. if he must save 6 cups of flour for other baking, write and solve and solve an inequality to determine how many batches of cookies he can make. Interpret the solution.

Answers

Final answer:

Corey can make at most 4 batches of cookies with the 10 cups of flour available for cookie making, after reserving 6 cups for other purposes.

Explanation:

To determine how many batches of cookies Corey can make, we need to write and solve an inequality. Corey has 16 cups of flour and needs to save 6 cups for other baking, leaving him with 16 - 6 = 10 cups of flour to use for cookies. Each batch of cookies requires 2.5 cups of flour. Let the number of batches be represented by b. The inequality will then be:

2.5b ≤ 10

To solve for b, we divide both sides of the inequality by 2.5:

b ≤ 10 / 2.5

b ≤ 4

This means Corey can make at most 4 batches of cookies with the flour he has, after setting aside 6 cups for other baking purposes.

ANSWER A B AND C HURRY EACH ONE

Answers

(A) 32.12 = 8.8 x t 

(B) If you round the numbers to 32 and 8 you can see that 8 x 4 = 42 are 4 is positive. 

(C) 32.12 / 8.8 = 3.65

Suppose that 12 inches of wire costs 48 cents. At the same rate, how many inches of wire can be bought for 24 cents?

Answers

6in is the answer
jjsjdjdjdjdjdjdjjdjdj





Use the equation of two ratios to solve this:

12 in                x
------------ = -----------      Cross multiplying, 48x = 12(24)        x=6 inches
48 cents       24 in

You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing the zip line is y=2x+4y=2x+4. There is a tree in your yard at the point (−4, 11)(−4, 11). Each unit in the coordinate plane represents 1 foot. Approximately how far away is the tree from the zip line? Round your answer to the nearest tenth.

Answers

Solving this problem needs the distance formula of point to a line.

The formula is:

distance = | a x + b y + c | / √  (a^2 + b^2)

 
So we are given the equation: y = 2 x + 4

Rewriting this would be: y – 2 x – 4 = 0 ->  a = -2, b = 1, c = -4

 We are also given the points:

(-4, 11) = (x, y)

 Plugging it in the distance formula at points (x, y):

distance = | -2 * -4 + 1 * 11 + -4 | / √ [(- 2)^2 + (1)^2]

= 15 / √ (5)

= 6.7

 So the tree is approximately 6.7 feet away from the zip line.

Answer:

on what

Step-by-step explanation:

Which expression could be used to determine the cost of a $40 video game after a 15 percent discount?

Answers

Answer: The required expression is,

$ 40(0.85)

Step-by-step explanation:

Given,

The original cost of the videogame = $ 40,

Discount percentage = 15%,

So, the amount of discount = 15% of 40

= (0.15)40                     ( ∵ 1% = 0.01 )

Hence, the cost of the videogame = original cost - discount

= 40 - (0.15)40

= 40 (1-0.15)

= 40(0.85)

Which is the required expression .

Answer:

the answer is $ 40(0.85)

Name one ordered pair that is a solution and one ordered pair that is not a solution to the equation 5x+3y=15.

Answers

One ordered pair that could work for this is x=3 and y=0, so 5 * 3 + 3 * 0 = 15.
One that is not a solution could be x=2 and y=3, so 5 * 2 + 3 * 3 = 19.

Hope this helps!
An ordered pair that is a solution to this problem is (0,5). If you replace 0 for x and 5 for y you will have the equation:
5(0) + 3(5)=15
5x0=0
3x5=15
0+15=15
So, this is correct.
One that isnt a solution is (9,0) following the same formula.
I hope this helps:) Please give brainliest

What is 8(c-9)=6(2c-12)-4c

Answers

Since cc is on the right side of the equation, switch the sides so it is on the left side of the equation.6(2c−12)−4c=8(c−9)6(2c-12)-4c=8(c-9)Simplify the left side.8c−72=8(c−9)8c-72=8(c-9)Simplify the right side.8c−72=8c−728c-72=8c-72Move all terms containing cc to the left side of the equation..−72=−72-72=-72Since −72=−72-72=-72, the equation will always be true.Always true
On the left side of the equal sign, multiply everything in the parenthesis by 8.
On the right side of the equal sign, multiply everything in the parenthesis by 6.

8c - 72 = 12c - 72 - 4c

Combine like terms.

8c - 72 = 8c - 72

Add 72 to both sides.

8c = 8c

Subtract 8c from both sides.

0 = 0

This means that there is an infinite amount of solutions.

Hope this helps!

Joesl's father is 45. He is 15 years older than twice joe's age. How old Is joe?

Answers

Joe father is 45

Joe father is 2x + 15

2x + 15 = 45
2x + 15 (-15) = 45 (-15)
2x = 30
2x/2 = 30/2
x = 15

Joe is 15

hope this helps
So, you make your equation 2x+15=45, because of the given numbers. Now you solve for x.
First, you subtract 15 from both sides, which gives you 2x=30.
Then you divide both sides by 2, which give you x=15.
So, Joe is 15 years old.

What pre-research decisions do psychologists make?

Answers

Well their main research is on people that have something wrong in their behavior, like somebody with an autistic brain thinks differently and their job is to study that:) Their decisions are things like doing activity with the people to get more information.

Find the equation for the table

Answers

(10,337),(15,340)
slope = (340 - 337) / (15 - 10) = 3/5

y = mx + b
slope(m) = 3/5
(10,337)....x = 10 and y = 337
now we sub into the formula and solve for b, the y int
337 = 3/5(10) + b
337 = 6 + b
337 - 6 = b
331 = b

so ur equation is : y = 3/5x + 331 or 3x -5y = - 1655

how do u right a rational as a decimal? 7/40

Answers

Greetings! 

To write a fraction in decimal form, you simply divide the numerator by the denominator:

Examples:
7/40
=0.175

Hope this helps.
-Benjamin

HELPPPP PLZzzzzzzzzzzzz

Answers

On scientific thing that can be solved through the use of technology is Pollution.

20 points!!!

11 - 3x ≥ - 4



Question 3 options:

x is greater than or equal to negative 5


x is less than or equal to negative 5


x is greater than or equal to 5


x is less than or equal to 5


Answers

11-3x >= -4

subtract 11 from both sides

-3x >= -15

divide both sides by -3

-15 / -3 = 5

 so the answer would be x is less than or equal to 5

325 people were in a tour group. Six buses were completely filled and 7 people chose to walk. How many people did the bus hold?

Answers

325 - 7 = 318
(subtracting people that walked since we're not dealing with them)
318/6 = 53
(divided by 6 since there were 6 total buses)
Answer is 53, that's how many people one bus could hold.

Need help as soon as possible. Numbers seven through 11. 11 points!!!!!!! !!!!!

Answers

7. 0.3%
8.40%
9.44.44444444%...forever
10.60%
11.70%

C =$1.75 be where c represents the cost of in dollars and be represents the number of boxes of crackers

Answers

Final answer:

The question is asking about the relationship between the cost of crackers in dollars (c) and the number of boxes of crackers (be)

Explanation:

The subject of this question is Mathematics. The question is asking about the relationship between the cost of crackers in dollars (c) and the number of boxes of crackers (be). It seems that c represents the cost in dollars and be represents the number of boxes of crackers. The question is asking you to find out what the cost of 'be' boxes of crackers would be.

what is a rational number between a pair of 3/8 and 3/4

Answers

Answer:  " ½ " is an example.
_____________________________
So is:  " ⅝ " .
_____________________________
Note:
_____________________________
We are asked to find a "rational number" between":  "3/8" and "3/4"

"3/4" = "(3*2)/(4*2") = (6/8).

So, find a rational number between "3/8" and "6/8.

Among many, some include "4/8, and 5/8.

4/8 = (4÷4)/(8÷4) = 1/2 ;

So among many, some include:  " ½ ;  ⅝ " .
____________________________________________________

How does ATP store energy for life's processes and how is it recycled?

Answers

ATP stores energy in the form of a high energy phosphate bond which then joins the terminal phosphate group to the rest of the molecule. When the cell needs energy, it takes the ATP and converts it to ADP and phosphate. Rather than discarding them, they travel back to the mitochondria where they are recycled in order to produce another ATP!

A city has 3 new houses for every 9 old houses. If there are 21 new houses in the city, how many old houses are there?

Answers

Final answer:

To find the number of old houses when the city has 3 new houses for every 9 old houses, set up a proportion. By cross-multiplying 3/9 = 21/x, we find that there are 63 old houses when there are 21 new houses.

Explanation:

The student asks how many old houses there would be if a city had 3 new houses for every 9 old houses, and there are 21 new houses. This is a problem of proportions that can be solved using a simple cross-multiplication method.

To solve for the number of old houses, set up a proportion with the numbers provided:

3 new houses / 9 old houses = 21 new houses / x old houses

Now, cross-multiply:

3x = 9 × 21

3x = 189

Divide both sides by 3 to find x:

x = 189 / 3

x = 63

So, there are 63 old houses in the city.

Which statement is true

Answers

It is more safe to say that B) Lines ED and HA are parallel.
Since they are "lines" and not "line-segments", they go on forever, and with my eye (which is horrible (not google's google's is great lol)) it seems like it is parallel

hope this helps

The The graph of g(x) is the result of translating the graph of f(x) = 3x six units to the right. What is the equation of g(x)?
g(x) = 3x – 6
g(x) = 3x + 6
g(x) = 3x – 6
g(x) = 3x + 6
Mark this and return

Answers

I hope this helps

g(x)=3x-6

Answer:

The graph of g(x) is the result of translating the graph of f(x) = 3x six units to the right

When a graph is shifted 'a' units to the right f(x) becomes f(x-6)

Given f(x)= 3x

When graph is shifted 6 units to the right , then g(x)= f(x-6)

Replace x with x-6

g(x)= 3(x-6)= 3x-12

so g(x)= 3(x-6)

Step-by-step explanation:

PLEASE HELP: The slope of the line below is 2. Use the coordinates of the labeled point to find a point-slope equation of the line.

Answers

the answer is c! :):):)

Answer:

A: y-9 =2(x-1)

Step-by-step explanation:


what is 3 3/5 divided by 6 in simplest form

Answers

This os the answer. Simply make the top fraction improper the multiply by the reciprical of 6. simplify from there.
I must don't know but do you actually understand 33/5 I think you should put 33 over 5 then divide it by 6 over one when you get the answer post it so I can see if you got it right.

what property is represented

Answers

9 × (5 × 2) = (9 × 5) × 2

You can see that all the numbers are there and in the same order. The only thing that changed is the parentheses location.

This is called the Associative Property (of Multiplication, because you're multiplying).
9x (5 x 2) = (9 x 5) x2 has following properites

Composite
Deficient
Odd
Evil
Square and
Nonagonal

1/3=4/12 incorrect or correct in ratio

Answers

Correct

if you multiply 4 to both it works


1 x 4 = 4
3 x 4 = 12

hope this helps

What is the value 5436788 for digit number 4

Answers

the value of the 4 is 400000
Answer:  The value for "digit number 4" is:  " 4,000,000" ; {that is, "4 million" .} .
_____________________________________________________________

The Canadian side of Niagara Falls has a flow rate of 600,000 gallons per second. How many gallons of water flow over the falls in 1 minute?

Answers

To find this you would multiply 600,000 by 60 since 60 seconds are in a minute and your answer would be 36,000,000.

36,000,000 gallons

Further explanation

Given:

The Canadian side of Niagara Falls has a flow rate of 600,000 gallons per second.

Question:

How many gallons of water flow over the falls in 1 minute?

The Process:

We will solve the problem of finding many gallons of water flow over the falls in one minute. This is related to unit conversions.

Let us look carefully.

Every second flows 600,000 gallons of water.In one minute, or 60 seconds, water flows as much as:

[tex]\boxed{ \ = \frac{600,000 \ gallons}{1 \ second} \times 60 \ seconds \ }[/tex]

The second unit is crossed out.The total zero from the multiplication above is six, while the yield of 6 times 6 is 36, so the final result is 36,000,000.

[tex]\boxed{ \ 600,000 \ gallons \times 60 = 36,000,000 \ gallons \ }[/tex]

Thus, the amount of water flowing in a waterfall is [tex]\boxed{\boxed{ \ 36,000,000 \ gallons \ }}[/tex]

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Keywords: The Canadian side of Niagara Falls, a flow rate of 600,000 gallons per second, how many gallons of water flow, in 1 minute, unit conversions, the second unit is crossed out

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