1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rom4ik [11]
3 years ago
12

Please find the GCF of 27,36 and 72

Mathematics
2 answers:
gladu [14]3 years ago
8 0
First let's find the GCF of 27, 36, and 72:
-->Find the factors of each number:
27: 1, 3, 9, 27
36: 1, 2, 3, 4, 9, 12, 18, 36
72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
-->Now look for the factors they have in common.
1, 3, and 9
-->Now see which one is the biggest number in value
9
--> So therefore, 9 is the GCF

Now let's find the LCM of 7, 4, 10, and 12
-->Start listing all the multiples of of each number
4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40... 420
7: 7, 14, 21, 28, 35, 42, 49, 56, 64, 70... 420
10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 120... 420
12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120... 420
(sorry got bored of typing so I fast forwarded at the '...'s)
--> The least number in value that they have in common is the LCM of those numbers
The LCM is 420

*Just saying that took forever to do that LCM part but not way too long thank goodness :p
Eva8 [605]3 years ago
7 0
LCM= 420
 When you list the numbers and their multiples, you keep on listing it until you get a same #.
GCF= 9
The GCF is 9. Try the birthday cake method- :0

First, put all the #s together and organized on a rectangular box. 

Then, see what goes into all of the #s. Write that # down on the left side of the "cake" (the box).
 Keep on doing it until their is no common # that goes into them both. 
 
You then add all of the #s that are on the side of the birthday cake.

*If that is the only # that goes into the #s, it is just that #.



You might be interested in
The sides of a triangle have lengths 5, 8, and 9. What kind of triangle is it?
Eva8 [605]
Maybe a right triangle???
5 0
3 years ago
Read 2 more answers
HELP WITH ANY OR ALL THESE PROBLEMS ASAP PLEASE LIKE NOW PLEASE<br>CAN SOMEONE PLEASE HELP 
LiRa [457]

Ques 8:

The Volume(V) in cubic feet of an aquarium id modeled by the polynomial function V(x)= x^{3}+2x^{2}-13x+10

a) We have to explain that why x =4 is not a possible rational zero.

By Factor theorem, which states that a polynomial f(x) has a factor (x - k) if and only if f(k)=0.

For this , we will substitute the value of x in the given function.

V(x)=x^{3}+2x^{2}-13x+10

V(4)=4^{3}+2(4)^{2}-13(4)+10

V(4)=4^{3}+2(4)^{2}-13(4)+10

V(4)=54 which is not equal to zero.

Therefore, x=4 is not a possible rational zero.

(b) To show that (x-1) is a factor of V(x).

By Factor theorem, which states that a polynomial f(x) has a factor (x - k) if and only if f(k)=0.

Let (x-1)=0

So, x=1.

Substituting x=1 in the given function.

V(1)=1^{3}+2(1)^{2}-13(1)+10

V(1)= -10+10

V(1) = 0

Therefore, (x-1) is a factor of V(x).

Now we will factorize the given function.

Dividing the given function by (x-1).

On dividing, we get quotient as x^{2}+3x-10

So, factored form is = (x-1)(x^{2}+3x-10)

= (x-1)(x^{2}+5x-2x-10)

= (x-1)(x(x+5)-2(x+5))

=(x-1)(x+5)(x-2)

(c) So, the dimensions are 1,2 and -5.

5 0
3 years ago
HELP ME, PLEASE!
andrey2020 [161]
It is clear that (AB) is a median, and it is obvious that the angle is 90, thus it is an altitude and a perpendicular bisector
3 0
3 years ago
Read 2 more answers
A drone has an effective range represented by a circle on a coordinate plane. The points (–12, 3) and (–6, –5) are endpoints of
Mrac [35]

Answer:

(x+9)^2 + (y+1)^2 = 100

Step-by-step explanation:

Since the question says diameter, we know the boundary in a circle. Therefore, we just need to find the center and radius.

The center is the midpoint of the two endpoints on a diameter.

Here, it is (-9, -1).

Therefore, the left part of the equation is (x- -9)^2 + (y - -1)^2 = (x+9)^2 + (y+1)^2.

The radius: sqrt(8^2 + 6^2) = 10

So the equation is (x+9)^2 + (y+1)^2 = 100

3 0
3 years ago
Read 2 more answers
A technician is launching fireworks near the event of a show. Of the remaining 11 fireworks, 4 are blue and 7 are red. If she la
SpyIntel [72]

\displaystyle |\Omega|=\binom{11}{6}=\dfrac{11!}{6!5!}=\dfrac{7\cdot8\cdot9\cdot10\cdot11}{2\cdot3\cdot4\cdot5}=462\\ |A|=\binom{4}{2}=\dfrac{4!}{2!2!}=\dfrac{3\cdot4}{2}=6\\\\ P(A)=\dfrac{6}{462}=\dfrac{1}{77}\approx1\%

8 0
3 years ago
Other questions:
  • How many district positive factors does 2018 have?
    13·1 answer
  • Simplify the expression. Write your answer as a complex number.
    13·1 answer
  • Which of the following fractions is equivalent to 0.45? 4/5 2/5 9/20 9/200
    6·1 answer
  • Given the function f(x) = 8x+2, evaluate f(6),
    10·2 answers
  • What is the area, in square inches, of the isosceles trapezoid below?
    8·1 answer
  • What is a fraction equivalent to the mixed number 3 3/4
    8·2 answers
  • An eight-pack of juice boxes for $4 has a unit rate of $2 per juice box.
    12·2 answers
  • Reflect square JKLM with J(1, 4), K(6, 5), L(7, 0) and M(2, -1) in the y-axis. What are the coordinates of M'?
    14·1 answer
  • Hello can someone please help me with this
    8·2 answers
  • Choose the correct graph of the following condition. {(x, y) : x - y6}
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!