what is the greatest common factor shared by 10 and 40

Answers

Answer 1

[tex]\huge\bold\green{Answer:-}[/tex]

Greatest common factor (GCF) of 10 and 40 is 10.

GCF(10,40) = 10

[tex]\huge\bold\red{Explanation:-}[/tex]

We will now calculate the prime factors of 10 and 40, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10 and 40.

Prime Factorization of 10

Prime factors of 10 are 2, 5. Prime factorization of 10 in exponential form is:

10 = 2¹ × 5¹

Prime Factorization of 40

Prime factors of 40 are 2, 5. Prime factorization of 40 in exponential form is:

40 = 2³× 5¹

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1, 2, 5

Factors of 40

List of positive integer factors of 40 that divides 10 without a remainder.

1, 2, 4, 5, 8, 10, 20

Greatest Common Factor

We found the factors and prime factorization of 10 and 40. The biggest common factor number is the GCF number.

So the greatest common factor 10 and 40 is 10.

Answer 2

The Greatest Common Factor of 10 and 40 is 5.

What is Greatest Common Factor?

The greatest common factor is the largest number that is a factor of two or more numbers (GCF). The greatest number (factor) divides them, yielding a Natural number. Once all of the number's variables have been identified, there are a handful that are shared by both. The greatest common factor is the largest number found among the common factors. The GCF is often referred to as the Highest Common Factor (HCF)

For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.

Given:

We have to find the greatest common factor of 10 and 40.

So factorizing each number

10 = 2 x 5

40 = 2 x 2 x 2 x 5

Here the common factor of 10 and 40 is

= 2 x 5

= 10

Thus, the Greatest Common Factor is 10.

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Related Questions

what is 1 + 1 (just doing this for points)

Answers

Answer:

2

Step-by-step explanation:

1+1 = 2

4) f(x) = 2x^5+4x^4+11x^3+22x²+12x+24; -2

please show the steps on how to find the roots

Answers

Answer:

Step-by-step explanation:

f(x) = 2x^4(x + 2) + 11x^2(x + 2) + 12(x + 2)

f(x) = (x+2) [2x^4 + 11x^2 + 12]

f(x) = (x + 2)(2x^2 + 3)(x^2 + 4)

Math mafff math maff

Answers

Answer:

Figure A

Step-by-step explanation:

It just moves position and nothing else it does´t rotate or anything.

Definition of translation in math is: In Geometry, "Translation" simply means Moving ... ... without rotating, resizing or anything else, just moving.

Hopefully that is helpful to you. Have a wonderful day.

Answer:

hi

Step-by-step explanation:

How is measuring an angle similar to and different from measuring a line segment?

Answers

Answer:

Line planes are flat, but angles are at an angle.

Step-by-step explanation:

please help

..dffdfd

Answers

Answer:

4 and 15

Step-by-step explanation:

The surf instructor has an initial fee of $12 and charges $8 per hour for lessons, which is represented by the equation y = 8x + 12, where x is the number of hours and y is the total cost. The instructor gives 32 hours of lessons a month to Sandra and 24 hours of lessons a month to Bela. What is the total amount the instructor makes in a month?


Sandra: y = 8 (32) + 12. y = 256 + 12. y = 268. The instructor receives 268 dollars a month from Sandra.

The instructor makes $_472_ a month.

Answers

Answer: 472$

Step-by-step explanation:

if I hit myself and it hurts am I weak or am I strong
A weak
B strong
C dumb
D mentally weak

Answers

Answer:

b

Step-by-step explanation:

Answer:

C and A

Step-by-step explanation:

Factor each of the following polynomials completely
1. 4x + 8
2.9x² - 25
3.x² + 4x + 4​

Answers

Answer:

ok:

Step-by-step explanation:

1. 4(x+2)

2. (3x + 5)(3x - 5)

3. [tex](x+2)^2[/tex]

Answer:

1. 4(x+2)

2. (3x+5)(3x-5)

3. (x+2)(x+2)

Step-by-step explanation:

(7 + 3i) - (2 + 3i) =
A. -5
B. 5
C. 5-6 i

Answers

B. 5

Remove the parentheses
7+3i-2-3i
Since two opposites add up to zero, remove them form the expression
7-2
Subtract the numbers
5

Ricky and James sold beef for a school fundraiser. Ricky sold 52 pounds and James sold 21 pounds. If their total combined sales were $1,168, how much does each pound of beef cost?

A. 16.00
B. 17.50
C. 13.50
D. 17.00

Answers

The answer would be A bc you add 52+21 which = 73 and then divide the $1,168 by 73 which = 16

Mr. Morgan ingested $20,000 dollars in an account earning 4.5% annual interest. How many years would it take for him to earn $5,400 in simple interest?

I know the answer is 6 but I just don’t know HOW

Answers

Answer:

6

Step-by-step explanation:

which of the lines below is parallel to y = 5x + 7 ?

Answers

Any line with a slope of 5 is parallel, because parallel lines have the same slope.

Kaelyn has 14 coins that have a value of $1.20 she only has dimes and nickels how many nickels does kaelyn have ?

Answers

10 dimes and 4 nickels.
10 dimes= 1 dollar
4 nickels= 20 cent

plz help
What is the solution set for the inequality

2x + 5 ≥ 15

Answers

Answer:

[tex]x\geq 5[/tex]

Step-by-step explanation:

Answer:

X [tex]\geq[/tex] 5

Dividing by 2 always produces a number less than the original number

Answers

Yes, this is true. A fraction, decimal, any number, will decrease if divided by two.

Dividing the number by 2 gives half of the number which is less than the original number.

Given that,
To specify dividing by 2 always produces a number less than the original number.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Dividing the number by 2 gives half of the number which is less than the original number.
Let the number be x,
Dividing the number by 2
Gives, x / 2 = 0.5 * x
Imply,
Dividing the number by 2 gives half of the number which is less than the original number.

Thus, dividing the number by 2 gives half of the number which is less than the original number.

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(Please help) What is the inverse of the function f(x)=x+3?

H(x)= 1/3x + 3

H(x)= 1/3x -3

H(x)= x - 3

H(x)= x + 3

Answers

The correct answer would be 3. H(x)=x-3

14. Jorge's brother is 4 less than 3 times his age. The sum of their ages is
24. How old is Jorge's brother? *
A 6 years old
B. 12 years old
C. 7 years old
O D. 17 years old

Answers

D. 17 years olddddddddddd

17 years old!!! Easyyy

Please help ASAP please I’ll mark as brainlister

Answers

Problems

The bottom of the red figure should be long; similar to the top of the blue figure.

The top of the red figure should be the same as the bottom of the blue figure.

Red are: (1, -1), (4, -1), (1, -5), (3, -5), (2, -2), (2, -4), (3, -4), (4, -2), (4, -2)

red points should be:

(1, -1), (3, -1), (1, -5), (4, -5),  (2, -2), (2, -4), (4, -4), (3, -2),  (3, -2),

which inequality is true for all real numbers? Check all that apply.
1. a-b < a+b
2. ac ≥ bc
3. if a ≥ b, then a+c ≥ b+c
4. if c > d, then a-c < a-d
5. if a < b, then a < b+c

Answers

Answer:

The answer is 1, i.e a-b < a+b

Its C: If a ≥ b, then a + c ≥ b + c

and D: If c > d, then a– c < a – d

write the equation of the line through the points: (5,-3) & (4,0) Part A In point slope form: A: y-5=3(x=3) B: y+5=(-1/3)(x-3) C: y+3=-3(x-5) D: y-3=(1/3)(x+5)

Answers

Answer:

y+3= −3(x−5)

Step-by-step explanation:

random characters ahhajsbsbsllaannxx

(-8.9)
how do you do this Coordinate plane?

Answers

Answer:

On the right lower corner on the line that is up and down should be on -8 and the left to right should be on positive 9

Step-by-step explanation:

What are the Slope and Equation of the graph?

Answers

Answer:

Slope= -3

Equation: y=-3x-44

−x+y=−5
What is the value of the x-intercept?

Answers

Answer: x - intercepts : (5,0)
y -intercepts : (0,-5)

(1 point) The linear function y=3x+30 models the average cost of a haircut in a certain city, where y, is the average price of a haircut x years after 2000. Find the slope for the model. Then describe what this means in terms of the rate of change in the average cost of a haircut over time.

Answers

Answer:

3 is the slope

Step-by-step explanation:

Mathematically, a linear function can be represented in the form;

y = mx + c

where m represents the slope and c is the y-intercept of the function.

In the equation given in the question above;

The slope of the equation is 3

What this means is that, the average rate of change between two points in the plot of the linear function is 3

Mathematically speaking, we mean that given two years and their corresponding average haircut prices, then the average rate of change between these two years on the plot is 3

If I have $100 dollars and spend $99.99 dollars, how much money do I have left?

Answers

Answer:

You have $00.01

Step-by-step explanation:

100-99.99=0.01

Answer:

A cent.

Step-by-step explanation:

100 - 99.99 = 0.01

You would have $0.01, or a cent, left.

Hope this helps.

How many tens do you see?4.There are 4 tens and how many ones?0.4 tens = 0 ones

Answers

Ik give u the answer rn wha grade u in

Could someone help me with this. Than u
Also if u can put it step by step how u do it.

Answers

Answer:

X=3,-3

Step-by-step explanation:

what 3+4+6 times 2
need to actually ask a question or these snitches will report

Answers

Answer:

3+4+6*2=26

Step-by-step explanation:

hope this helps!

One math student, John, can solve 6 math problems in 20 minutes while another student, Juaquine, can solve the same 6 math problems at a rate of 1 problem per 4 minutes. Who works faster?
1.John
2.Juaquine

Answers

Answer:

John

Step-by-step explanation:

6/20=0.3

1/4=0.25

Juaquine is solving problems at a faster rate as compared to John.

What is the rate?

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

As per the question, we can compare their rates of problem-solving by calculating the number of problems they can solve per minute.

For John, this is 6 problems / 20 minutes = 0.3 problems per minute.

For Juaquine, this is 6 problems / (4 minutes/problem) = 1.5 problems per minute.

Since Juaquine can solve 1.5 problems per minute compared to John's 0.3 problems per minute, Juaquine is solving problems at a faster rate.

Hence, Juaquine works faster as compared to John.

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What is the slope of the line that goes through the points (1,-2) and (3,6)?

A.) -4


B.) 2


C.) 4


D.) 1

Answers

Answer:

(C).  4

Step-by-step explanation:

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(1,\:-2\right),\:\\\left(x_2,\:y_2\right)=\left(3,\:6\right)\\\\m=\frac{6-\left(-2\right)}{3-1}\\\\m = \frac{6+2}{3-1}\\ \\m = \frac{8}{2} \\\\Simplify\\\\Slope = m = 4[/tex]

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