The prime factorization of a number is . Which statement is true about the factors of the number? Twenty-one is a factor of the number because both 3 and 7 are prime factors. Twenty-one is not a factor of the number because 21 is not prime. Ninety is a factor of the number because and 90 is divisible by 9. Ninety is not a factor of the number because 90 is not divisible by 7.

Answers

Answer 1

Answer & Step-by-step explanation:

Factors of a number are the number(s) whose product ie multiplication gives the number. Prime factorisation is finding 'prime' factors of numbers, ie the numbers which dont have a factor further - other than themselves & 1.

Example : 6 = 2 x 3, so 2 & 3 are factors of 6. Also, 2 & 3 are prime factors, as they dont have further multiplication factors, other than themselves (2 & 3 respectively) & 1. So this can be an illustrative case of prime factorisation of 6.

Answer 2

Answer:

Answer:

Twenty-one is a factor of the number because both 3 and 7 are prime factors.

Step-by-step explanation:

Given number is,

3^2\times 5^3\times 73

2

×5

3

×7

=3\times 3\times 5\times 5\times 5\times 7=3×3×5×5×5×7

Where, 3, 5 and 7 are prime numbers ( only divisible by 1 and itself ),

⇒ Both 3 and 7 are prime factors of the given number,

⇒ 21 is a factor of the given number.

Thus, first option is correct.

⇒ Second option is incorrect.

Now, 5 is factor of the given number but 2 is not,

⇒ 10 is not a factor of the given number,

⇒ 90 is not a factor of the given number,

⇒ Third option is incorrect.

Suppose 90 is divisible by 7,

⇒ 90 = 7a

Where a is any whole number,

⇒ 7=\frac{90}{a}7=

a

90

3^2\times 5^3\times 7=3^2\times 5^3\times \frac{90}{a}3

2

×5

3

×7=3

2

×5

3

×

a

90

Since, 90 could be a factor of this number, if a = 3 or 5 or their multiple,

For the other values of a, 90 can not be the factor,

Hence, there is no effect of divisibility of 90 by 7 on having 90 as a factor of the given number,

⇒ Fourth option is incorrect.

Step-by-step explanation:


Related Questions

Heyy can u help me????

Answers

"ba" = 11,

"ab" = 38,

38 - 11 = 27,

Sooooo... Now you have the value of "ba" and "ab."

Welcome!! <3

ASAPPP NEED IT NOWWW pleaseee

Answers

270. The area is (12*9)*2.5

Tickets to a school dance are sold for $10

Answers

Answer:

10t

Step-by-step explanation:

Whatever amount of tickets wanted, multiply that number by ten to get the amount needed to buy the number of tickets you want.

10/1 math work again plz help

Answers

Answer:

1. y = -0.75x + 2

2. y = -1.8x - 7

3. y = -3x + 3

4. y = -11/7x + 56

5. y = -0.6x + 3

6. y = -2x - 14

7. y = 14x + 7

8. y = 2/8x - 4/3

9. y = x - 6

10. y = -1/3x + 4

Step-by-step explanation:

Question 1

3x + 4y = 8

4y = -3x + 8

y = -0.75x + 2

Question 2

9x + 35 = -5y

5y = -9x - 35

y = -1.8x - 7

Question 3

2y - 6 = -6x

2y = -6x + 6

y = -3x + 3

Question 4

-11x - 7y = -56

7y = -11x + 56

y = -11/7x + 56

Question 5

5y/3 = -(x - 5)

5y = -3(x - 5)

5y = -3x + 15

y = -0.6x + 3

Question 6

-2(2x + y) = 28

-4x - 2y = 28

2y = -4x - 28

y = -2x - 14

Question 7

-14x + y = 7

y = 14x + 7

Question 8

12y = (8x - 48)/3

36y = 8x - 48

y = 2/8x - 4/3

Question 9

(3x - 3y)/2 = 9

3x - 3y = 18

3y = 3x - 18

y = x - 6

Question 10

2x/3 + 4(y - 2) = 0

2x/3 + 2y - 8 = 0

2y - 8 = -2x/3

3(2y - 8) = -2x

6y - 24 = -2x

6y = -2x + 24

y = -1/3x + 4

Hope this helped! If not please let me know! <3

BRAINLIEST TO WHOEVER GETS IT ASAP PLEASEEE

Use the graphing tool to determine the intercepts.
ty
intercept =
20
y-intercept =
10
-10
-20
) Intro
Done

Answers

Answer:

x- intercept = (3,0)

y-intercept = (0, -12)

Step-by-step explanation:

IN points (x-intercept, y-intercept)

Hope this helps!!!

)
To the nearest hundredth, how many cm are in 10 in? (1 in = 2.54 cm)
Х
A)
24.5 cm
B)
25.40 cm
245.40 cm
D)
254.40 cm

Answers

Answer:

B. 25.40 cm

You're welcome

Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Click twice to plot eath segment.
Click a segment to delete it.

Answers

The rise is 1 and the run is 4. I believe the slope would be 1/4

what is the result of 54* 18 written in standard form?​

Answers

Answer:

972

Step-by-step explanation:

Use long multiplication to evaluate.

972 If im wrong im very sorry.

Write an equation of a line in slope-intercept form. Slope = 0, y-intercept = 4

Answers

answer:

0x + 4 = y

explanation:

mx + b = y

m = slope

b = y-intercept

50 points need asap
Solve the inequality for x. Show each step of the solution.
12x > 9 ( 2x - 3) - 15

Answers

Answer:

The solution of 12x>9(2x-3)-15 is x>7.

write 2.0093 in expanded form

Answers

Answer:

2+0.0+0.00+0.009+0.0003

Step-by-step explanation:

question (b) please. Thank you

Answers

first we will open bracket by squaring all the digits, then we will take LCM of the denominators and write in the standard form, it cant be further solved

Answer:

x²/9 - x/6 + 1/16

Step-by-step explanation:

Using (a - b)² = a² - 2ab + b, expand the expression:

x²/9 - 2x/12 + 1/16

reduce the fraction with two:

x²/9 - x/6 + 1/16

and you're done!

What is the value of x

Answers

hi!! here is your answer

Answer:

30

Step-by-step explanation:

4x + x + 30 = 180 (co interior angles are equal)

5x + 30 = 180

5x = 180 - 30

5x = 150

x = 150/5

x = 30

hope you understood❤

Question 4
Which of the following sets of numbers represents a function?
(1, 2), (2, -3), (3, - 3), (4,5)
(1, 2), (2, 3), (1,3), (4,5)
(-1,- 1),(4, - 1), (1, - 1), ( – 1, - 2)
(2, - 4), (4, - 1), (2, 4), ( – 4, 1)

Answers

Answer:

c

Step-by-step explanation:

because it is

Evaluate f(−1)=−3x^3 + 2x^2

Answers

Answer:

5

Step-by-step explanation:

f(-1)= -3(-1)³+2(-1)²

= -3(-1)+2(1)

= 3+2

=5

5(x – 2) = 30 what is x

Answers

Answer:

-10

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

5(x – 2) = 30

Distribute:

5x - 10 =30

Add 10 to both sides:

5x = 40

Divide

x=8

Check your work:

5(8 - 2) =30

5(6) =30

5 * 6=30

30=30!

Final answer: x=8

Which ratio is equivalent to 7:3
A. 12:8
B. 49:9
C. 28:12
D. 21:7

Answers

Answer:

c

Step-by-step explanation:

7:3=28:12

Answer:

C and D

I think

Can you explain and solve this? : 3n + 2 = 8

Answers

Answer:

3n+2=5n=8

n=8÷5

n=1.6

Answer:

n = 2

Step-by-step explanation:

Original Equation:

3n + 2 = 8

Subtract 2 from both sides.

3n = 6

Divide both sides by 3

n = 2

Hope I helped :)

in how many year will rs 8000 amount to rs 13824 at 20% per annum interest compounded annually? please please help me out​

Answers

Answer :-

3 years

step by step explanation:-

Let the time be x

principal = rs 8000

Amount = rs 13824

rate = 20% p.a

A = P(1+r/100)^n

13824 = 8000 ( 1 + 20/100)^n

=> 13824/8000 = (120/100)^n

=> 13824/8000 = (24/20)^n

=> (24/20)³ = (24/20)^n

=> 3 = n

=> n = 3 years

I don't really understand this..please..help..

Answers

Answer:

it is b , 1462 dollarrss

Step-by-step explanation:

In a triangle the three angles are x°, 2x° and 3x°
a) Show that 6x = 180 _______________________________________
____________________________________________________________
b) Find the value of x
x = _____°

Answers

x = 30 degrees because

all angles of a triangle = 180

6x = 180 divide by 6

x = 30

To make sure it’s right plug it in

x, 2x, 3x

30 + 2(30) +3(30) = 180

so x = 30

Given the points (3,6) and (4,8) what is the rate of change?

Answers

Answer:

2

Step-by-step explanation:

use slope equation

PLSSSSS HELP ME!!!! I WILL MARK!!! U!!!

Answers

the answer is 29

explanation:
plug in 2 for all x variables in the equation and solve like normal (i attached a pic of the work)

Find the rate of discount for a pair of pants that cost 65$ and are on sell for 39

Answers

Answer: 65 - $39 = $26 >> amount you save

26 / 65 = 0.4 = 40% >> discount rate

Step-by-step explanation:

Three times a number decreased by 8 is equal to the same number increased by 22. Find the number

Answers

Answer:

15

Step-by-step explanation:

Let the number be x

The we have below equation to solve for x:

3x - 8 = x + 223x - x = 22 + 82x = 30x = 15

Evaluate The Exsperession. Show your work


6.7-3^2.9+4^3
or

Answers

Answer:

25

Step-by-step explanation:

Hi there !

6×7 - 3²×9 + 4³ =

  1. raise the numbers to power

= 6×7 - 9×9 + 64

  2. we perform the multiplications

= 42 - 81 + 64

  3.  we perform addition and subtraction

= (42 + 64) - 81

= 106 - 81

= 25

Good luck !

Answer:

-17

Step-by-step explanation:

-3^2×9+4^3

-3^2×3^2+64

-3^4+64

-81+64

-17

Rewrite in simplest terms: -3y – 4(2y + 10)

Answers

Answer:

-11y-40

can you also please mark me as brainliest?

Entire the solution as s completely simplified fraction:
8/22 + 5/22 + (-7/-22)

Answers

Answer:

The simplest form is 3/11

Step-by-step explanation:

6/22 divided by 2 =3/11

Solve 19x - z = y for x.
a) x = (y - z)/19
b) x = y + z - 19
c) x = y/19+Z
d) x = (y + z)/19

Answers

Answer:

d

Step-by-step explanation:

The graph of a linear function has a y-intercept of 5 and passes through the point (2, 5). What is the slope of the graph of the function?

Answers

Answer:

Step-by-step explanation:2/5

The slope of the graph of function is 0

From the equation of the slope-intercept form of an equation of a straight line,

We have

y = mx +c

Where m is the slope

and c is the y-intercept

From the given information,

c = 5

and

The line passes through the point (2, 5)

∴ x = 2 and y = 5

Putting these values into the equation, we get

5 = m(2) + 5

5 = 2m + 5

5-5 = 2m

0 = 2m

∴ m = 0 ÷ 2

m = 0

Hence, the slope of the graph of function is 0

Learn more here: https://brainly.com/question/25001308

Other Questions
Please someone help!Which statement does this picture best support Early humans created decorative arts such as jewelry The skeleton shows someone who was a skilled hunter The skeleton shows someone who made cave paintings Early humans lived in extended clan groups Q1: An object with a charge of 1.2 C is located 4.5 m away from a second object that has a charge of 0.36 C. Find the electrical force that the objects exert on each other. Use 8.988100 Nm2/C2 for the value of Coulomb's constant. Give your answer to two decimal places. True or False: A larger numerical value for electron affinity means it is more difficult for an electron to be added to an atom. In the book When You Reach Me What is the point of view In the current year, Nighthawk Corporation, a calendar year C corporation, has $5,080,000 of adjusted taxable income and $152,400 of business interest income. Nighthawk has no floor plan financing interest. The business interest expense for the year is $2,032,000. a. Assume that Nighthawk has average gross receipts for the prior three-year period of $35,200,000. Determine Nighthawk's current-year deduction for business interest. $______ b. Assume that Nighthawk has average gross receipts for the prior three-year period of $19,500,000. Determine Nighthawk's current-year deduction for business interest. $______ A triangle is drawn on the coordinate plane. It is translated 4 units right and 3 units down. Which rule describes the translation? Find the midpoint of the segment ending in the points 0,9 and 5,1 Read the following statement.I will complete this assignment to the best of my ability. While I do this assignment at home, I will not request or accept assistance and I will complete this activity independently. I understand the purpose of this assignment is to provide teachers and others with accurate information to better provide me with instructional support and resources, and that the results of this assessment will not impact my overall grade in this class.Select one of the following to indicate that you have read and understand the above statement.AgreeDisagree Identify the 3-4 parts of a Body Paragraph and the purpose for each. Match each Native American tribe with the place it migrated from and the reason for migrationComancheKiowaWichitamigrated from Montana because of conflict with the Lakota Sioux and Cheyenne tribesmigrated from Northern Oklahoma because of conflict with the Osage tribemigrated from Wyoming because of conflict with the Sioux tribe what if boy A and boy B pull the heavy cabinet at the same time in opposite directions with 10 N and 5 N of force respectedly, to what direction will it move? Amy, Joan and Kevin each find rock. Amy's rock weighs 20.82 grams. Joan's rockweighs 20.78 grams. The weight of Kevin's rock is between the weight of Amy'srock and the weight of Joan's rock. What is a possible weight, in grams. of Kevin'srock? Explain your thinking. Gertrude has 83.21 centimeters of wire. She uses 2 pieces of the wire.Each piece she uses is 15.12 centimeters long. What is the length ofthe remaining wire, rounded to the nearest tenth of a centimeter?(Only round your final answer.) What is the definition of a tributary? 50 points please help!! Which best describes the purpose of a labor union?Select the best answer choice.A. to represent the workers' needs to employers of a specific tradeB. to represent employers' needs to workers of a specific tradeC. to create job opportunities in particular industriesD. to employ workers in a particular industry What impact does the phrase deportation by cattle car in paragraph 4 have on the readers understanding of the text? Holiday Rent a Car rents a compact car for $24.95 per day plus $0.23per mile. Cargo Rent a Car rents a compact car for $ 22.95 per dayplus $0.31 per mile. Write a system of equations and solve it to find outwhat daily mileage gives the same rental charge for both cars. Please help me urgently In The Channel of Gravelines, Petit Fort Philippe, 1890, what three colors did Seurat add to the water