Visualize an abstract mathematical concept. There is an equation balanced on an antique wooden scale. On the left side of the scale is an odd natural number depicted as a series of green dots. On the right side, a digital number '40' glows softly. A beam of light connects these numbers, and an equation emerges from the beam, showing LCM(x, 40) equals to 1400, which is depicted as a broad golden number. The scene is set within a serene study with a chalkboard, bookshelves, and a parchment themed background.

Find the value of an odd natural number x if LCM(x, 40)=1400

The LCM of x and 40 is 1400

x is odd. tale the prime factorization.
1400 = 7 × 2 × 2 × 2 × 5 × 5
40 = 5 × 2 × 2 × 2
The common factors of both 1400 and 40 are: 5 × 2 × 2 × 2
= 40, which means the
GCD is 40
if GCD is 40 then other number is 1400
as if smallest number divides greater number then smaller number is GCD and greater number is LCM.
However, this is impossible since 1400 is even. Therefore,
1400/40 = 35
if other number is 35,
then LCM of 40 and 35 is 280
1400/280 = 5
so other number is 35 × 5 = 175
175 = 5 × 5 × 7
40 = 5 × 8
LCM = 5 × 5 × 7 × 8 = 1400
so x = 175

To Find The Value Of 'X' First LCM (X,40)=1400 Then LCM 1/40 (X,40)= 1/40(1400) X=35 Then LCM (35,40) 35=35,70,105,140,175,210,245,280 40=40,80,120,160,200,240,280 The LCM(35,40)=280 Then The LCM Of (X,40) Divided By LCM Of (35,40) &Multiply By '35' Is Equals To The Value Of 'X' Then 1400/280=5 & 5*35=175 then the value of 'x' is equals to 175 x=175

175

The answer is simple:

First, let's divide 1400 by 40
We get 35, then insert it in x i.e. (35, 40)
Find the LCM of (35, 40) which is 280
Divide 1400 to 280 the result will be 5
Then, multiply 5 & 35, the answer will be 175

x=2n+1,40=2^3*5,then( 2n+1)*40=1400,n =17,so, x=35 again GCF(35,40)=5 ,so the odd natural number is y =35*5=175

No answer, am confused ????sorry

x must divide 1400, which is 2*7*2*5*2*5

Can you make a guess now?

40=2*2*2*5 1400=2*2*2*5*5*7 X= 5*5*7

Simply x=175

The answer is 175

the prime factorization of 40=2*2*2*5 and the prime factorization of 1400=2*2*2*5*5*7 then the LCM of both is the highest factorization of x and 40 then the remain factorization is the factorization of x=5*5*7=175

Let,x=the set of odd number so lcm(x,40)=1400 ,x=2n+1so we replace x by 2n+1 and we get (2n+1)*40/40=1400/40 then 2n+1=35 then minus from both side 1 and we divide both side by two we get 35 the gcf of 35 and 40 =5 we multiple the result 35*5=175

YOU POST YOUR ANSWERS

What a confusion 😂

Find an odd natural number x such that LCM (x,40) = 1400

solution
1st, We multiply x*40= 1400
x= 1400/40
x= 35
2nd find the LCM 40&35
LCM 40&35 is 280
280 is other LCM 35&40
3rd we divide 1400 by 280, then we have gate 5
1400/260=5
4rd we multiply value of x and value of 1400/280
so, 35*5 = 175
finally an odd natural number is 175

Maths

you don't say any thing b/c all of you are stupid person

The answer is not 35.

35

the LCM of 40&1400=280 but 1400/280=5,then x=35*5=175

the tow Number Lcm are

If Lcm (x,40)=1400

# Lcm Valu divided by given Valu we get soln

# find Lcm of Soln Valu And Give valu we getLcm

# Lcm valu divided by we get valu We get valu

# finally get soln multiplied by get valu

40=2*2*2*5 1400=2*2*2*5*5*7 X= 5*5*7 THIS CAN'T BE ANSWER!

Because, what if 2*2*2 or 2*2 or 2 present in x? this is my opinion.

40=2×2×2×5 & :1400=2×2×2×5×5×7 ×=5×7=35×5=175 ×=35

35

Ashlee worked 1,944 hours last year. She earned $14 for each hour she worked.

She wants to use her earnings to buy a new vehicle.

Vehicle Choices Price
sedan $25,750
convertible $27,990
SUV $29,500


She said, "Since
2
,
000
×
14
=
$
28
,
000
, and
$
27
,
990

is less than
$
28
,
000
, I know I have earned enough to buy the convertible."

Use the drop-down boxes to explain whether or not Ashlee's conclusion is logical.

Since Ashlee rounded
1
,
944
up to
2
,
000
, her estimate is an
Choose...
. Ashlee earned
Choose...

$
28
,
000
. It
Choose...
possible that Ashlee earned less than
$
27
,
990
, which is the price of the convertible. So, Ashlee's conclusion
Choose...
logical.🥺🥺🥺🥺😭

LCM(X,40)=1400.

from the given LCM we have X×40=1400
=>X=35
& when I substitute for X in GCF.
GCF(35,40)=5
SO, X×40=1400×5
WE get the value of =>X=175
.•.X=175

The answer is 175

40=2*2*2*5 1400=2*2*2*5*5*7 X= 2*2*2*5*5*7 IS THIS CORRECT

FIND THE LCM OF (1400,40)BY USING PRIME FACTORAZATION

#### The answer is just simple calculation

1400/40=35

Hoo! Sorry

40X=1400 X=35

It is 175

lcm(x,40)=1400,1400/40*0.2=175

we can have a lot of answer and answer your self as it is assignenment

175

(X.40)=1400 1.by prime factorization 40=(2)(2)(2)(5) 1400=(2)(2)(2)(5)(5)(7) =(5)(7)=35 =(5)(5)(7)=175 so X=35

Some times we can get LCM of two numbers by the products of the numbers

That means
40*a=1400
a=1400/40
Therefore,a=35