What is the greatest common factor of 8 and 9
Answers
The greatest common factor of 8 and 9 is 1. The largest positive integer that divides two numbers without producing a remainder is known as the greatest common factor (GCF).
We have the numbers 8 and 9 in this instance. We must uncover the elements that both numbers have in common and choose the biggest one to determine their GCF. In comparison to the factors of 9, which are 1, 3, and 9, the factors of 8 are 1, 2, 4, and 8.
The highest positive integer that divides both 8 and 9 is 1, hence the only factor they have in common is that. Therefore, 1 is the number that connects 8 and 9 most frequently.
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Answer:The factors of 8 are: 1, 2, 4, 8
The factors of 9 are: 1, 3, 9
Then the greatest common factor is 1.
Step-by-step explanation:How to Find the Greatest Common Factor (GCF)
There are several ways to find the greatest common factor of numbers. The most efficient method you use depends on how many numbers you have, how large they are and what you will do with the result.
Factoring
To find the GCF by factoring, list out all of the factors of each number or find them with a Factors Calculator. The whole number factors are numbers that divide evenly into the number with zero remainder. Given the list of common factors for each number, the GCF is the largest number common to each list.
Example: Find the GCF of 18 and 27The factors of 18 are 1, 2, 3, 6, 9, 18.
The factors of 27 are 1, 3, 9, 27.
The common factors of 18 and 27 are 1, 3 and 9.
The greatest common factor of 18 and 27 is 9.
Example: Find the GCF of 20, 50 and 120
The factors of 20 are 1, 2, 4, 5, 10, 20.
The factors of 50 are 1, 2, 5, 10, 25, 50.
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.
The common factors of 20, 50 and 120 are 1, 2, 5 and 10. (Include only the factors common to all three numbers.)
The greatest common factor of 20, 50 and 120 is 10.Prime Factorization
To find the GCF by prime factorization, list out all of the prime factors of each number or find them with a Prime Factors Calculator. List the prime factors that are common to each of the original numbers. Include the highest number of occurrences of each prime factor that is common to each original number. Multiply these together to get the GCF.
You will see that as numbers get larger the prime factorization method may be easier than straight factoring.
Example: Find the GCF (18, 27)
The prime factorization of 18 is 2 x 3 x 3 = 18.
The prime factorization of 27 is 3 x 3 x 3 = 27.
The occurrences of common prime factors of 18 and 27 are 3 and 3.
So the greatest common factor of 18 and 27 is 3 x 3 = 9.
Example: Find the GCF (20, 50, 120)
The prime factorization of 20 is 2 x 2 x 5 = 20.
The prime factorization of 50 is 2 x 5 x 5 = 50.
The prime factorization of 120 is 2 x 2 x 2 x 3 x 5 = 120.The occurrences of common prime factors of 20, 50 and 120 are 2 and 5.
So the greatest common factor of 20, 50 and 120 is 2 x 5 = 10.
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Answers
Area = (length) x (width) = (25mm x 12mm) = 300 square millimeters
You can't convert 'square millimeters' to feet. One is a unit of area,
but the other is a unit of length.
You can convert square millimeters to square feet, though.
(300 mm²) x (1 ft / 304.8 mm)² = 0.00323 square foot (rounded)
Answers
In this question, you're solving for b.
Solve for b:
2b + 8 -5b + 3 = -13 - 8b - 5
Combine like terms:
-3b + 8 + 3 = -13 - 8b - 5
-3b + 11 = -13 - 8b - 5
-3b + 11 = -8b -18
Add 8b to both sides
5b + 11 = -18
Subtract 11 from both sides
5b = -29
Divide both sides by 5
b = -29/5
Answer:
Step-by-step explanation:
2b + 8 - 5b + 3 = -13 - 8b - 5....combine like terms
-3b + 11 = -18 - 8b ...add 8b to both sides
8b - 3b + 11 = -18...subtract 11 from both sides
8b - 3b = -18 - 11 ....combine like terms
5b = - 29...divide both sides by 5
b = -29/5 or - 5 4/5
Answers
Step-by-step explanation:
x+y=25
x=2y+7
x+y=25
(2y+7)+y=25
3y+7=25
-7. -7
3y=18
÷3. ÷3
y=6
x=19
19 and 6
Answers
To find out the slope, we use a formula known as rise/run.
Rise means how high a point goes between any two points and run is how far the space is between any two points.
We can see that there are two points give to us. Now we ask our self how high do we have to go to reach the second points’ height. If we count it we go five UP. Meaning that the rise is positive 5.
Now we see how far the two points are. If we count it, we go 1 space the LEFT meaning -1 since going left on a graph means x is getting smaller.
Now that we have he two values, we put them into rise/run
5/-1=-5
So our value of m is -5
Meaning y=-5x+b
We still have our value of b to find and we can do this by choosing any one point on the graph and substituting it into the equation. We know that one of our points is (3,0)
We put these into the equation
y=-5x+b
0=-15+b
b=15
Therefore, y=-5x+15
Answers
(Hope this helps)
Answers
Answer:
20 months
Step-by-step explanation:
Let x represent the number of months.
We have been given that at one bank, Aaron would pay $2500 initially and $150 each month for the loan. So amount paid in x months would be .
We are also told that at another bank, Aaron would pay $3000 initially and $125 each month for the loan. So amount paid in x months would be .
To find the number of months when both loan payments will be the same, we will equate both expressions as:
Therefore, after 20 months both loan payments would be the same.
3000+125x=2500+150x
500=25x
x=500/25
x=20
Therefore the answer will be 20 months.
All the best!