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
puteri [66]
2 years ago
12

NO LINKS!!!Please help me with parts b and c. ​

Mathematics
2 answers:
Hatshy [7]2 years ago
8 0

The answer is:

 b.  A × B = GCF(A, B) × LCM(A, B)

 c. 15 = GCF × LCM / 20

bekas [8.4K]2 years ago
6 0

9514 1404 393

Answer:

  b.  A × B = GCF(A, B) × LCM(A, B)

  c. 15 = GCF × LCM / 20

Step-by-step explanation:

b. The products of the numbers in the table are 80, 108, 216, 45.

The products of the corresponding GCF and LCM are 80, 108, 216, 45.

Conjecture: the product of the numbers is equal to the product of the GCF and LCM.

__

c. GCF×LCM = 5×60 = 300 = A×B = 20×B

  B = 300/20 = 15

The other number is 15, found by using the conjecture of part b.

_____

<h3><em>Additional comment</em></h3>

If you think for a minute about what the GCF and LCM are, you realize the relationship discussed in this problem must be the case. Consider the factors of two numbers A and B:

  A = (factors in common with B) × (factors unique to A)

  B = (factors in common with A) × (factors unique to B)

The GCF, by definition, are (factors in common between A and B).

The LCM, by definition, is the product of unique factors:

  (common factors) × (factors unique to A) × (factors unique to B)

__

Then the product of the LCM and the GCF is ...

  GCF × LCM =

  (factors in common) × ((factors in common) × (unique to A) × (unique to B))

Using the associative and commutative properties of multiplication, we can rearrange this product to be ...

  ((factors in common)×(unique to A)) × ((factors in common)×(unique to B))

  = A × B

__

Personally, I use a kind of diagram to represent the factorization of A and B and their LCM and GCF:

  [unique to A (common] unique to B)

Then A = factors in [ ], and B = factors in ( ). The stuff in (common] is the GCF, and the overall product is the LCM.

Using the example of part c, this would look like [4 (5] 3), so A = 4·5 = 20 and B = 5·3 = 15. The GCF is 5, and the LCM is 4·5·3 = 60.

The end parts <em>[unique to A(</em> and <em>]unique to B)</em> can have no common factors. Any common factors must reside in the (common] part.

You might be interested in
The probability of waiting 4 minutes or longer for checkout at a particular supermarket counter is 0.1. On a given day, a man an
Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

Hope this photo will find you well

Good day!

3 0
3 years ago
Please help what’s 6,7,8.
Nikitich [7]

Answer: 7 is 1/8, 8 is 2/8 or 1/4

Step-by-step explanation:

7 0
2 years ago
There are 318 fiction books in the class library. The number of nonfiction books is 47 less than the number of fiction books. Ho
grigory [225]

Answer:

589 books in total

Step-by-step explanation:

fiction books= 381

non-fiction= 381-47= 271

total amount of books(ficton books and non-fiction books together)= 589 books in total

6 0
3 years ago
Read 2 more answers
John and Beth plan to visit a bookstore. Based on their previous visits to this bookstore, the probability distributions for the
lora16 [44]

Answer:

D) 0.1250

Step-by-step explanation:

Let P(J) = Probability of John to purchase 0 books

Let P(B) = Probability of Beth to purchase 0 books

P(J∩B) = Probability that both john and Beth will purchase 0 books .ie. a total of 0 books is purchased.

Since the decisions to purchase books are two independents events,

P(J∩B) = P(J) * P(B)

P(J) = 0.5

P(B) = 0.25

P(J∩B) = 0.5 * 0.25

P(J∩B) = 0.125

8 0
2 years ago
What is the value of y?
icang [17]
Y= 5.91 yup that’s the answer
8 0
3 years ago
Other questions:
  • 5. The shape of a dome can be modeled by the equation h = - 2 d 2 + 100 where h is the height (in feet) of the dome from the flo
    7·1 answer
  • (12+13)x5-20= what’s the answer to this problem
    8·2 answers
  • (HELP!)
    10·2 answers
  • Each potted plant cost ls $4.75,and each shrub costs $14.50
    14·1 answer
  • Solve for x.<br> 5x– 2(x+1) =1/4<br><br> Enter your answer in the box.<br><br> X=_
    7·1 answer
  • Katya is traveling by train to visit her relatives in another state. The equation y=60x+20 represents the total distance she is
    14·2 answers
  • For purposes of making on-campus housing assignments, a college classifies its students as Priority A (seniors), Priority B (jun
    10·1 answer
  • So what is the actual answer?
    10·2 answers
  • REPOST!!!!!!! 15 POINTS!!!!!!!
    5·2 answers
  • 5.3g + 8 = 3.3g + 20
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!