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
Illusion [34]
3 years ago
8

Aaron, Ruth and Walter created shortcuts for finding the least common multiple of two numbers. Do their methods work for any pai

r of numbers? explain why it works
Mathematics
1 answer:
statuscvo [17]3 years ago
4 0

L.C.M= Least common multiple

If we have to find least common multiple of two numbers  

you have to check out which kind of numbers they are.

1. If the numbers are co- prime= Multiply the two numbers  

you will get the L.C.M.[Co-Prime numbers→If two numbers doesn't have any common factor then,that two numbers are Co-prime.]

For example L.C.M

(2,3)=2×3=6

(4,5)=4×5=20

(7,9)=7×9=63 So , you can find many more examples.

2. If the two numbers are not Co-prime like (4,6),(8,10)

Then, there is another procedure.

First you have to factorize the two numbers.Then you have to take out common numbers and and then multiply the numbers which are not common with the common number.

For example ,

L.C.M (12,16),

12=2×2×3

16=2×2×2×2

Common numbers are 2×2.

Non common numbers are  3×2×2.

So, L.C.M=2×2×2×2×3=48

Take another example L.C.M(40,80)

40=2×2×2×5

80=2×2×2×2×5

Common numbers=2×2×2×5

Non common number=2

So, L.C.M=2×2×2×2×5=80

If  Aaron, Ruth and Walter created this  shortcut for finding the least common multiple of any two numbers,then definitely this will work for any pair of numbers.


You might be interested in
For every $3.00 donated to a certain charity by Club A, $1.25 was donated by Club B. If the combined total amount donated to the
shtirl [24]

Answer:

D, $18,000.00

Step-by-step explanation:

Club A

$3 x is donated where x is the number of donations

Club B

$1.25x  is donated where x is the number of donations

The total of donations is 25500.00

Add the donations  times the dollar amount  for Club A and Club B and you get the total amount donated

$3x +$1.25x = 25500.00

Combine like terms

4.25x = 25500.00

Divide by 4.25 on each side

4.25/4.25x = 25500.00/4.25

x =6000

There were 6000 donations

We want to find Club A donation amount

$3 x is the amount donated

3*6000 = 18000

4 0
2 years ago
Read 2 more answers
Task: Nonpermissible Values for Rational Expressions [30 points] Write a rational expression that has the nonpermissible values
igor_vitrenko [27]

Answer:

A rational expression that has the nonpermissible values x = 0 and x = 17 is f(x) = \frac{4}{x\cdot (x-17)}.

Step-by-step explanation:

A rational expression has a nonpermissible value when for a given value of x, the denominator is equal to zero. In addition, we assume that both numerator and denominator are represented by polynomials, such that:

f(x) = \frac{p(x)}{q(x)} (1)

Then, the factorized form of q(x) must be:

q(x) = x\cdot (x-17) (2)

If we know that p(x) = 4, then the rational expression is:

f(x) = \frac{4}{x\cdot (x-17)} (3)

A rational expression that has the nonpermissible values x = 0 and x = 17 is f(x) = \frac{4}{x\cdot (x-17)}.

8 0
3 years ago
In the diagram of a quadrilateral below, the variables represent the length of the sides in inches.
SVETLANKA909090 [29]
Add 11 + 16. Plug in 11 into b-2 since b equals eleven. You should now have 11+16+11-2. Do the same thing and plug in 16 for c and 11 for b for c-b. Your solution will now be 11+16+11-2+16-11.
4 0
3 years ago
The graph has y-intercept (0, 6) and contains the point (2, 1).
prisoha [69]

Answer:

5x + 2y = 12

Step-by-step explanation:

Direction factor = (2, 1) - (0, 6) = (2, -5)

So, normal factor = (5, 2)

Line: 5x + 2y = k

(0, 6) -> L: 0 + 12 = 12 = k

L: 5x + 2y = 12

5 0
3 years ago
Please help me with these questions and show how u got them, i will mark you brainliest !
lianna [129]

Answer: 1) 25b   2) ac   3)ba

1) Since b is unknown, your answer will be 25b

2) Since both variables, a and c, are unknown, your answer will be ac

3) Since both are unknown here, it will be ba!

4 0
3 years ago
Other questions:
  • Approximately how many times greater is 8.5×108 than 3.4×105 ? A 2.5 B 250 C 2,500 D 25,000
    15·2 answers
  • Determine which triangle appers to be acute?
    12·1 answer
  • I am trying to get 2/7 into a whole number or a mixed number
    13·1 answer
  • 8x33/4 how do you solve this problem?
    10·1 answer
  • Y/2=2/5 solve one step equation?
    8·1 answer
  • Is this a function or not a function? (Picture)
    15·2 answers
  • Find the length of side a.<br><br><br> Hurry please no trolling.
    6·2 answers
  • Calculate the length for y
    11·1 answer
  • a train travels 16 miles in 20 minutes. at this rate how many minutes will it take to travel 12 miles​
    5·1 answer
  • Can slope intercept form have y as the slope?<br><br> For example:<br> x = 7y
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!