Find the LCM of 12 and 27 using prime factorizations
Step-by-step explanation:
Prime Factorization of 12
2 12
2 6
3 3
1
Prime factors of 12 are 2,3. Prime factorization of 12 in exponential form is:
12 = 22×31
Prime Factorization of 27
3 27
3 9
3 3
1
Prime factors of 27 are 3. Prime factorization of 27 in exponential form is:
27 = 33
Now multiplying the highest exponent prime factors to calculate the LCM of 12 and 27.
LCM(12,27) = 22×33
LCM(12,27) = 108
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Least Common Multiple of 12 and 27 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12 and 27, than apply into the LCM equation.
GCF(12,27) = 3
LCM(12,27) = ( 12 × 27) / 3
LCM(12,27) = 324 / 3
LCM(12,27) = 108
Least Common Multiple of 12 and 27 by Listing Multiples
Multiples of 12
12, 24, 36, 48, 60, 72, 84, 96,108
Multiples of 27
27, 54, 81,108
Find the smallest number that is on all of the lists. We have it in bold above.
∴ Least Common Multiple of 12 and 27 is 108
Properties of LCM 12 and 27
(i) The LCM of 27 and 12 is associative
LCM of 12 and 27 = LCM of 27 and 12
Frequently Asked Questions on LCM of 12 and 27
1. What is the LCM of 12 and 27?
Answer: LCM of 12 and 27 is 108.
2. What are the Factors of 12?
Answer: Factors of 12 are 1, 2, 3, 4, 6, 12. There are 6 integers that are factors of 12. The greatest factor of 12 is 12.
3. What are the Factors of 27?
Answer: Factors of 27 are 1, 3, 9, 27. There are 4 integers that are factors of 27. The greatest factor of 27 is 27.
4. How to Find the LCM of 12 and 27?
Answer:
Least Common Multiple of 12 and 27 = 108
Step 1: Find the prime factorization of 12
12 = 2 x 2 x 3
Step 2: Find the prime factorization of 27
27 = 3 x 3 x 3
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 108 = 2 x 2 x 3 x 3 x 3
Step 4: Therefore, the least common multiple of 12 and 27 is 108.
The LCM (least common multiple) of 12 and 27 using prime factorizations would be 108.
Used the concept of least common multiple that states,
The Least common multiple of two or more numbers is the smallest number that is a multiple of two or more numbers.
Given that the two numbers are 12 and 27.
Hence, the prime factorizations of 12 and 27 are,
12 = 2 × 2 × 3
27 = 3 × 3 × 3
So, the LCM of 12 and 27 is,
2 × 2 × 3 × 3 × 3
= 108
Learn more about the Least common multiple visits:
brainly.com/question/10749076
#SPJ4
Mr. Jones charged Roberta $32 for parts and $15 per hour for labor to repair her bicycle. He spent 3 hours repairing her bike. Which expression would be used to correctly calculate the amount Roberta owes him?
Answer:
The expression T = 15*3 + 32 could be used to correctly calculate the amount Roberta owes Mr. Jones
Step-by-step explanation:
Given that:
Amount charged for parts = $32
Per hour labor = $15
Time spent on repairing = 3 hours
Total amount = Per hour labor * Number of hours + Amount of parts
T = 15*3 + 32
Hence,
The expression T = 15*3 + 32 could be used to correctly calculate the amount Roberta owes Mr. Jones
Answered que aca ases copiando Jsjs NO ERES EL UNICO COPION the daria la respuesta pero no me la set ni yo
Step-by-step explanation:
What is a decimal that is equivalent to the fraction 7/10
Answer: 0.7
Step-by-step explanation:
Answer:
0.7 is the decimal
11. A bag contains 250 pieces of candy. There are 125 grape, 25 cherry, 25 lemon, 50 strawberry. What is the probability of drawing a cherry?
Multiply. Express your answer as a decimal. 1/2 x 15
Answer:
7 1/2
Step-by-step explanation:
convert mixed numbers to fractions to get 1/2 and 15/1
then, multiply the two to get 15/2
then simplify for the answer 7 1/2
answer 7.5
Step-by-step explanation:
convert the fraction to a decimal by dividing the numerator by the denominator
The zoo order 567 pound of fish. if the zookeeper divides the fish into 9 buckets how many pounds of fish are in each bucket
Answer:
63
Step-by-step explanation:
there are 63 pounds of fish in each bucket
Consider the division problem 1/2÷ 3. Describe a situation this division could represent.
Value of x. Pleaseeeeeeeeeeeeeee
Answer:
x=62
Step-by-step explanation:
all angles should add to 180
180-56=124
124÷2=62
Answer:
Step-by-step explanation:
1st notice that two of the sides are the same length? ( isosceles ) that mean the two angles at the "base" which is the side that both of the same size legs tie into... that's the side that is 4.5 in the picture. soooo if both of those angles are the same.. and we know that the angles are going to add to 180 then.... we can say the the 56° is the same as the one at the other end of the 4.5 side (base) so 2*56°=112°
and then 112° + x = 180°
x = 180-112
x = 68°
:)
A third-grade teacher has 20 students in her class. fifteen of them are girls and 5 are boys. What is the ratio of girls to boys in the third-grade class.
Answer
15:5, or 3:1
Step-by-step explanation:
MKX or MK11? What yall guys think?
Answer:tbh i have no clue what you are talking about
Step-by-step explanation:
Answer:
MKX
Step-by-step explanation:
n(n + 1) + 3 = 45
Someone answers this brainiest is involed
Answer:
steps in the pic
Step-by-step explanation:
n=7 or n=-6
Linda made 24 jelly-bread sandwiches with a 16-ounce jar of jelly.
Joanne made 30 jelly-bread sandwiches with a 20-ounce jar of jelly.
Who used more ounces of jelly per sandwich, Linda, Joanne, or both? Explain your reasoning.
(Hint: Find the ounces per sandwich for each person, then compare.)
Answer:
Both of them made the same
Step-by-step explanation:
find each ounce of jelly per sandwich
for Linda - 24/16 = 1.5
for Joanne - 30/20 = 1.5
so for each sandwich, both used 1.5 ounce of jelly
Hope it helped u! : )
there are red, green and blue sweets in a bag, the ratio is 1:4:7 there 120 green sweets.how many sweets in total.
Answer:
Step-by-step explanation:
1:4:7
1+4+7=12
120+12+10
Answer:
Step-by-step explanation:
first divide 120/4 = 30
so everything needs to be multiplied by 30
new ratio is 30:120:210
add them together
30 + 120 + 210 = 360
hope this helps <3
what would the answer to this math problem?
27.4-3.2×2
A kilometer is ___as large as a picometer
Answer:
1.0E+15
Step-by-step explanation:
im sure this is right
Answer:
Step-by-step explanation:
To find the answer divide a 1 kilometer by x amount of picometers.
K= x of p
K = 1000000000000000
or in short text
=1e+15
Help me. Please due today
Answer:
2). As x-> -∞, f(x)->∞
As x-> ∞, f(x)-> -∞
5). As x-> -∞, f(x)-> -∞
As x-> ∞, f(x)-> ∞
3). As x-> -∞, f(x)-> -∞
As x-> ∞, f(x)-> ∞
6). As x-> -∞, f(x)-> ∞
As x-> ∞, f(x)-> ∞
Step-by-step explanation:
I just watched a quick video so you can't completely trust me, but i tried my best. Hopefully someone more trustworthy for this comes in.
Abba grew 1 foot over the past year. He is now 5 feet tall. What was Abba's percent increase in height?
Answer:
25%Step-by-step explanation:
Abba grew 1 foot over the past year. He is now 5 feet tall. What was Abba's percent increase in height?
Step one:
given data
We are told that Abba grew 1 foot in the past year, and now he is 5 feet tall, this means that his previous height is 4 feet.
Step two:
We want to find the percent increase
%increase = change in height/ previous height *100
%increase =5-4/4*100
%increase = 1/41*100
%increase =0.25*100
%increase = 25%
Answer:
He grew 1/5 = 20%
he was 4/5 = 80%
now he is 5/5 = 100%
Step-by-step explanation:
The set of whole numbers includes zero, but the natural numbers do not.
OA. True
OB. False
SUBMIT
Answer: True
The set of whole numbers is {0, 1, 2, 3, 4, 5, ...}
The set of natural numbers is {1, 2, 3, 4, 5, ...}
Both sets describe numbers that are positive and without any fractional or decimal component. The only difference is that 0 is included in the first set, but exclude from the second. If you want to include negative whole numbers as well, then you'd use the set of integers.
The given statement is true.
What is number?A number is an arithmetic value used to represent quantity. Hence, a number is a mathematical concept used to count, measure, and label. Thus, numbers form the basis of mathematics.
The statement given is says that, the set of whole numbers includes zero, but the natural numbers do not.
So, if we see the definition of both types of numbers, we can say that the whole numbers are the natural starting from 0, and the natural numbers are the one which includes only counting numbers used in our daily life.
Hence, the given statement is true.
Learn more about numbers, click;
https://brainly.com/question/17429689
#SPJ7
Name a quadrilateral that has two
pairs of opposite sides equal in
length and one pair of opposite
angles equal
Answer:
parallelogram
Step-by-step explanation:
What is the solution of the system of equations that contains the equation - 3x - 9y = 18 and the equation of the line shown on the graph below?
Answer:
No solution
Step-by-step explanation:
If ABD=61 and DBC=59 then ABC=
Answer:
180-(61+59) should give you the answer
Answer:
61+59
Step-by-step explanation:
gives u your answer
Woodsmith magazine gave instructions on how to build a pine cupboard. Lumber will be needed for two shelves 834 inches long, two base sides 1212 inches long, and two door stiles 2918 inches long. Your lumber comes in 6 foot lengths.
Required:
How many feet of lumber will you need?
Answer: 8.4 feet
Step-by-step explanation:
Given: Lumber required for each shelf = [tex]8\dfrac{3}{4}\ inches[/tex]
For each base side = [tex]12\dfrac12\ inches[/tex]
For each door stile = [tex]29\dfrac18\ inches[/tex]
Total lumber required = [tex](2\times 8\dfrac34 + 2\times12\dfrac12+2\times29\dfrac18)\ \ in.[/tex]
[tex]=(2\times\dfrac{35}{4}+2\times\dfrac{25}{2}+2\times\dfrac{233}{8})\ in\\\\= (\dfrac{35}{2}+25+\dfrac{233}{4})\ in.\\\\=\dfrac{403}{4}\ in. =\dfrac{403}{4}\times\dfrac1{12}\ feet \ \ \ \ [1 feet = 12 \ in.]\\\\\approx8.4\ feet[/tex]
Hence, we will need 8.4 feet lumber.
If x/y=6 y/w=4 and x=36 , what is the value of w?
Answer:
w = 1.5
Step-by-step explanation:
if x equals 36 you have to figure out what 36 divided by equals 6 and thats 6 so y=6 then you have to take 6 and figure out what divided by it equals four and that is going to be 1.5
Answer:
w=3/2
Step-by-step explanation:
x/y=6 here x=36
then, 36/y=6
6y=36
y=36/6
y=6
here y/w=4
6/w=4
6=4w
w=6/4
w=3/2
please answer a through d
Answer:
See explanation below.
Step-by-step explanation:
Given: 100 lbs on Earth is 16.6 lbs on the moon.
a. The independent variable is weight. The gravity of the Moon and the gravity of the Earth are constant. Weight can change, but gravity is a constant.
b. An equation that relates the weight of someone on the Moon who travels to the Earth:
100 / 16.6 = 6.02. Take the Moon weight and multiply by 6.02:
Moon Weight * 6.02 = Earth Weight.
Proof:
16.6 * 6.024 = 99.99 - approximately 100 lbs Earth weight.
c. A 185 lb astronaut on Earth would weigh:
16.6 / 100 = .166. Take the Earth weight and multiply by .166:
185 * .166 = 30 lbs on the Moon.
d. A person who weighs 50 lbs on the Moon:
50 * 6.024 = 301.2 lbs on Earth.
Hope this helps! Have a good day and year! :)
How could you show the problem using fractions?
Answer:
What Problem?
Step-by-step explanation:
wild
Eight children are sharing 2 pizzas. Each child
should have the same amount of pizza. How
much pizza can each child have?
Line B passes through the points (5, 10) and (0,0). What is the slope of the line perpendicular to line
B?
Answer:
-1/2 is the answer
Step-by-step explanation:
Evaluate the expression below
72+ 5 (3 4) - 62
Answer: 3/4
Step-by-step explanation:
True Value Hardware ordered 112 rakes. When True Value received the order, 46 rakes were missing. What percent of the order did True Value receive? (round to the nearest 100th)
Answer:
true value received 58.93% or the order.
Please help me answer this with the correct answer :)
Explain your answer
I will give braisnlt :)
Answer: Choice A) If Amber and Jorge each sell 5 trees in one week, they will earn the same amount
The amount they earn is $200 each.
========================================================
Explanation:
Let's form the equation for the amount Amber earns.
She starts off at $150, and then we add on 10x dollars. The 10x is because she earns 10 dollars per tree, and we have x be the number of trees sold.
Overall we can say her equation is y = 150+10x
This is the same as y = 10x+150
----------
Since Jorge's equation is y = 25x + 75, we can apply substitution to solve for x
y = 10x+150
25x+75 = 10x+150 .... replace y with 25x+75
25x+75-10x = 150 ... subtract 10x from both sides
15x+75 = 150
15x = 150-75 ... subtract 75 from both sides
15x = 75
x = 75/15 .... divide both sides by 15
x = 5
If they sell 5 trees per week, then Amber and Jorge earns the same amount of money.
That amount earned is
Amber: y = 10x+150 = 10*5+150 = 50+150 = 200 dollars
Jorge: y = 25x+75 = 25*5+75 = 125+75 = 200 dollars
Both earn $200 per week from selling 5 trees for that week. This helps confirm we have the right answer.
