The LCM (12, 15, 20, k) = 420. What is the least possible value of k?

Answers

Answer 1

The least possible value of k is 7.

The given numbers;

12, 15, 20, k

LCM of 12, 15, 20, k = 420

The prime factor of each of the given is calculated as;

12 = 2² x 3

15 = 3 x 5

20 = 2² x 5

The LCM = 2² x 3 x 5 = 60

The least possible value of k is calculated as;

60k = 420

[tex]k = \frac{420}{60} \\\\k = 7[/tex]

Thus, the least possible value of k is 7.

Learn more here: https://brainly.com/question/17894698


Related Questions

What is the image point of (- 7, - 7) after a translation left 3 units and down 3 units?

Answers

Answer:

(-10,-10)

Step-by-step explanation:

is 3/4 ≥ 0.625 ??????????????


please help

Answers

Answer:

Yes

Step-by-step explanation:

Answe

yes

Step-by-step explanation:

3/4ths is equal to .75 so its more tha it

An experiment is pulling a ball from an urn that contains 3 blue balls and 5 red balls. a.) Find the probability of getting a red ball. b.) Find the probability of getting a blue ball. c.) Find the odds for getting a red ball. d.) Find the odds for getting a blue ball.

Answers

Answer:

Step-by-step explanation:

The urn contains 3blue balls 5 red balls

a) probability of getting a red ball

   P=no of favourable of outcomes /total no outcomes

   P(red ball) = 5/8

b) Probability of blue ball

  P(blue ball) = 3/8

c) Odds getting a red ball

   odds in favour of any object = m/n

   m : event to occur

   n  : event will not occur

 Odds(red ball) = 5/3

d)

Odds(blue) = 3/5

Triangle ABC has the following vertices:
A(-4,6)
B(6,6)
C(1, -3)
Is triangle ABC an equilateral triangle, and why?

Answers

Answer:

No, Because BC is longer than AB

2.
d
a) Name the vertex of the angle.
b) Name the sides of the angle.
c) Give three ways to name the angle.
H
M
d) Classify the angle:

Answers

i’m not smart tho... answer: Marco Polo

Jessie needs 1 5/8 gallons of paint to paint her room. She only has 5/6 of a gallon of paint. How many more gallons of paint does she need?

Answers

Answere: Jessie needs 15/24 more gallons of paint.

Explanation:

Words such as more than us know that this problem is subtraction, info from this problem also lets us know that we need to subtract 15/8 - 5/6

To intrept this expression:

15/8 - 5/6

45/24 - 20/24

15/24

You make the fractions, with like denominators, then subtract only the numerators.

Hope this helps!

If a 158° angle is bisected, what are the measures of the two resulting angles?

Answers

Answer:

Both 79°.

Step-by-step explanation:

In geometry, when an angle is said to be bisected, it implies that the angle is divided into two equal parts.

Therefore, if an angle that measures 158° is bisected, it is divided into two equal angles. That is:

[tex] \frac{158}{2} = 79 [/tex].

Therefore, the bisecting of an angle of 158° will result into two resulting angles of 79° each.

What is 24x(3 x 2) 4x + 2y + 6

Answers

Answer:

[tex]24x(3 \times 2) 4x + 2y + 6 = \\ 576x {}^{2} + 2y + 6[/tex]

Step-by-step explanation:

[tex]if \: 24x(3 \times 2) 4x + 2y + 6 \\ = 576x {}^{2} + 2y + 6 \\ \\ \\ \\ \\ ♨Rage♨[/tex]

Answer:

576x + 2y + 6

Step-by-step explanation:

so let's work this out

first as you can see we need to work this out in BODMAS Method, but there are also expression.

First do the brackets

3 x 2 = 6

so it is simplified to

24x X 6 X 4x + 2y + 6

We can multiply 24x to 6, even if it doesn't have the same pro numeral since, when multiplying we don't have to look for pro numeral, but if we are adding or subtracting, we can't add or subtract a number with a number that doesn't have the same pro numeral.

so

24x X 6 = 144x X 4x = 576x

Then it is simplified to

576x + 2y + 6

we can't simplify it anymore, since it doesn't have the same pro numeral.

Answer = 576x + 2y + 6

Hope you understand

:-)

Unit form: 6 nines plus nine

Answers

Answer:

63

Step-by-step explanation:

Divide 24 tonnes in the ratio 1:2.

Answers

Answer: it would be c on the test if your not on the test i dont know what it would bb ;]

Step-by-step explanation:

A ratio is a way of comparing two or more similar quantities. Ratios can be used to compare

costs, weights, sizes and other quantities.

For example, suppose we have a model boat which is 1 m long, whereas the actual boat is 25 m

long. Then the ratio of the length of the model to the length of the actual boat is 1 to 25. This

is written as

1 : 25 .

Note there are no units included, and note also the use of the colon to represent the ratio.

Ratios are also used to describe quantities of different ingredients in mixtures. Pharmacists

making up medicines, manufacturers making biscuits and builders making cement all need to make

mixtures using ingredients in the correct ratio. If they don’t there may be dire consequences!

So knowing about ratios is not only very important, but extremely useful and crucial in certain

circumstances.

For example, mortar for building a brick wall is made by using 2 parts of cement to 7 parts o

1.
What is the scientific notation of 0.000342

Answers

Answer:

3.42 x 10^-4

Step-by-step explanation:

Which conditions are sufficient to prove that lines / and n are parallel?
Choose all that apply
DA 21225
B. m2 3+ m2 6 = 180
cm2 2 + m 2 6 = 180
OD 2224
DE 239 25
Om2 8+ m2 7 = 180

Answers

Answer:

b.

Step-by-step explanation:

If de is = to 2 then the direction of the axis will hit the sun on different spots

PLEASE HELP ME, DUE RIGHT NOW PLEASE

Answers

Y=4x^2

Good luck with it all

what is the value of the expression below​

Answers

Answer:

What expression??

Step-by-step explanation:

put the expression in the comments

In the equation 7x - 3 = 25, what is the first step to solve for x? What is the value
of x?

Answers

Step-by-step explanation:

7x − 3 = 25

Add 3 to both sides.

7x = 28

Divide both sides by 7.

x = 4

Answer:

I think is add 3 from both sides

Step-by-step explanation:

7x-3=25

25+3=28

7x=28

x=4

Point P is in the interior of ∠NOQ. If m∠NOP = 37 and m∠NOQ = 123, what is m∠POQ?

Answers

Answer: mPOQ = 86°

Step-by-step explanation: I took the test yesterday and got it correct, I am reliable

The value of the angle m∠POQ will be the difference between ∠NOQ to m∠NOP thus it will be 86°.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

As per the given,

∠NOQ = ∠NOP + ∠POQ

123 = 37 + ∠POQ

∠POQ = 123 - 37 = 86°

Hence "The value of the angle m∠POQ will be the difference between ∠NOQ to m∠NOP thus it will be 86°".

For more about the angle,

brainly.com/question/13954458

#SPJ5

Abby makes a pattern she starts with 700 she multiplies by 10 to get the second number she multiplies by 10 again to get the third number what is the third number?

Answers

Answer:

the third number is 70000

24g of magnesium reacts with 38g of fluorine to produce ___g magnesium fluoride

Answers

Answer:

62 g

brainliest plz? ty

Answer:

hope this helps

Step-by-step explanation:

62 is the answer

the graph of a line is shown on grid below.which equation best represents the graph of the line?

Answers

Answer:

A

Step-by-step explanation:

slope -3

y intercept (0,2)

Option A is correct, y=-3x+2 is the equation of the line that best represents the graph of the line.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The line passing through points (1, -1) and (-2, 8)

m=8+1/-2-1

m=-3

Now let us find the y intercept

8=-3(-2)+b

8=6+b

2=b

y=-3x+2 is the equation of line.

Hence, y=-3x+2 is the equation of the line that best represents the graph of the line.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ3

HELP!!!!!!!!

f(x)= -2x^2+14/x^2-49

Which statement describes the behavior of the graph of the function shown at the vertical asymptotes?

As x approaches -7 from the left, y approaches ∞.
As x approaches -7 from the right, y approaches -∞.
As x approaches 7 from the left, y approaches –∞.
As x approaches 7 from the right, y approaches –∞.

Answers

This shows that as x approaches -7 and 7, the value of y approaches infinity. As x approaches -7 from the left, y approaches ∞.

Vertical asymptotes of a function

The vertical asymptotes of a function is the point where the denominator of the rational function approaches zero.

Given the rational function shown:

[tex]\dfrac{-2x^2+14}{x^2-49}[/tex]

The vertical asymptotes occurs when x^2 - 49 = 0

Add 49 to both sides

x^2-49 + 49 = 49

x^2= 49

x = ±7

This shows that as x approaches -7 and 7, the value of y approaches infinity

Learn more on vertical asymptotes here: https://brainly.com/question/4138300

#SPJ1

brainliestMr. Cini drove at 100 km/h for a 160 km trip. How much longer would the trip have taken if he had driven at 90 km/h? Show all your work, explain how to figure out this problem, and explain how you know you are correct.

Answers

Answer:

[tex]the \: time \: will \: be \: \boxed{1.8 \: hrs} \to \: \\ this \: is \: true \: since \: the \: car \: traveled \: with \: lower \: speed : \\ it \: will \: then \: cover \: the \: same \: distance \\ \: with \: mor e\: time. \: this \: is \: true \:s ince \to \boxed{1.8 \: hrs \: > 1.6 \: hrs}[/tex]

Explanation:

[tex]since \: velocity \: is \: given \: as \to \\ v = \frac{d}{t} \\ then \: the \: time \: is \to \\ t = \frac{d}{v} \: since \: (d) \: is \: constant \: in \: this \: case \to \\ when \: (v\: is \: 100 \: km {(h)}^{ - 1} ) \: then \: the \: time \: is \to \\ t = \frac{160}{100} = 1.6 \: hrs \\ \\ when \: (v\: \: is \: 90 \: {km(h)}^{ - 1}) \: then \: the \: time \: is \to \\ t = \frac{160}{90} = 1.7777777778 \\ hence \: the \: time \: will \: be \: \boxed{1.778 \: hrs}[/tex]

♨Rage♨

|3x+1|-1=8

Please help me ASAP

Answers

Answer: x = -10/3 and 8/3

Add 1 to both sides:

∣3x+1∣=8+1

There are two equations:

3x+1=9  and -(3x+1)=9

Solve the first one:

3x+1=9  

3x=9−1

3x=8

x=8/3

Solve the second one:

-(3x+1)=9

−3x−1=9

−3x=9+1

−3x=10

x=-10/3

2) The average of a brother
and sister was
35
years, at
5 years ago. What will be
their average age at present.

Answers

Answer:

their average present age should be 40

Step-by-step explanation:

they were 35, 5 yrs ago. just add the 5yrs to 35 yrs old and you will get their present age.

Answer:

Step-by-step explanation:

Average age 5 years ago: 35

Sum of ages 5 years ago: 2(35), or 70

Sum of ages now: 70 + 2(5), or 70 + 10 = 80

Current average: 80/2 = 40

So, their average age is 40!

Hope this helps :)

What is amother way to Express 42 + 24

Answers

Answer:

6(7 + 4) = 6(11) = 66

Step-by-step explanation:

What is 9/10 minus negative 3/5?

Answers

The answer is 1.5




Hdjdndndj

1.5

Step-by-step explanation:

As a decimal you should be able to convert it

10 sheets of card are about 245mm thick. How thick is 1 sheet of Card. what is the keyword in this problem?​

Answers

Answer:

1 sheet of card is 24.5mm thick. I think the keyword here is thick

Step-by-step explanation:

245/10=24.5

Get a calculator devide 245 and 10 and you will get 24.5!

factor x^{3}x^{2}+2x+2 by grouping

Answers

Both the first two terms and the last two terms share a factor of x+1, so you factor it out.

What is the equation of the line passing through the points
19
20 and 3 12 in slope-intercept form?
oy- x -
o y-ax+
o y-ix-2
O y-ix-

Answers

Answer:

y = 1/2x + 10.5

Step-by-step explanation:

So I kind of get proofing but I am lost for what you call it when two sides that aren't adjacent are supplementary. Is it just supplementary angles? I want to say either <3 and <1 are congruent or <2 and <3 are congruent. If I could get help on the rest of the problem that would be much appreciated.

Answers

Let angle 4 denote the angle adjacent to angle 3 on the right side (so between lines a and b, to the right of line c). Angles 3 and 4 are then supplementary.

Lines a and b are parallel, so angles 1 and 4 are congruent because they are alternating interior angles.

By the transitive property, angles 2 and 4 are also congruent.

Again, transitively, angles 2 and 3 are supplementary.

Let angle 5 denote the angle to the left of angle 2 (between a and b, to the left of d). Angles 5 and 2 are supplementary.

Transitively, angles 5 and 3 are congruent.

These two angles correspond to one another, so lines c and d are parallel.

HOMEWORK iwiwieiwieieie​

Answers

Step-by-step explanation:

Hello

According to fithaghores law:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

So

[tex] {5}^{2} + {12}^{2} = 25 + 144 = 169 \\ {c}^{2} = 169 \\ c = \sqrt{169 } = 13[/tex]

Let's continue

Tan A = a/b= 5/12

So A is about 22 or 23 degrees.

You know sum of the triangle angles are 180

So sum 90 +23

Then 180-(90+23)=180-113=67

B is about 67 degrees.

I hope this help you.

Other Questions
What climate conditions led to the formation of the worlds earliest known civilization?a.)wet and tropicalb.)wet and coldc.)dry and coldd.)dry and semiarid help i give brainliest and 50 points to whoever doess plz The process of transferring energy during respiration occurs in a series of steps. This prevents too much heat from being released at one time. Maintaining an appropriate temperature is beneficial to an organism because A) enzymes need a proper range of temperatures to catalyze vital reactions B) cellular waste products can only be excreted in cooler temperatures C) hormones can only produce antibodies if temperatures are not excessive D) nutrients diffuse faster into cells when temperatures are lower help me solve the problem it 2 problems they all in together What is the image point of (- 7, - 7) after a translation left 3 units and down 3 units? When spotting a bench press, the spotter stands with a straight back, hands under the arms of the lifter, and carefully watches the bar. This demonstrates __________. A. good technique because the form is appropriate B. poor technique because the back should be bent C. poor technique because the spotter should be moving up and down with the lifter as they lift the weight D. poor technique because the spotter should have their hands underneath the bar Offer your thoughts on how the structure of hair makes a difference in the world of forensic science or in determine paternity. Which are considered accomplishments of the Freedmens Bureau in North Carolina? Check all that apply. 1) They rallied the support of whites throughout the South. 2) They established college and training schools for African Americans.3) They provided food and clothing to formerly enslaved people.4) They wrote black codes, which gave more rights to former enslaved people. 5) They raised money to pay for teachers and manage schools. 6) They published their own textbooks, which angered whites. Which is the factor of 15xy-45x-6y+18? Cellular respiration in the presence of oxygen is called(a) anaerobic respiration.(b) glycolysis.(c) aerobic respiration.(d) oxygen respiration. HELP!!!!!!!!f(x)= -2x^2+14/x^2-49Which statement describes the behavior of the graph of the function shown at the vertical asymptotes?As x approaches -7 from the left, y approaches .As x approaches -7 from the right, y approaches -.As x approaches 7 from the left, y approaches .As x approaches 7 from the right, y approaches . plz hlep ememmeememeemem me its a math ? need to do it Can some help me plzz the equations -5x+6y=-47 and 10x+y=68 intersect at the coordinate (h, k). what is the value of h? If everything else remains the same, but the charges of two objects are each doubled, the electrostatic force between them will be __________ times what it was before. HELP QUICKLYWhat is the result for the following line of code? >>>print("one+day")O one dayO one + dayO one dayO oneday 10 sheets of card are about 245mm thick. How thick is 1 sheet of Card. what is the keyword in this problem? Pls help Which of these contains a comma-splice? 24g of magnesium reacts with 38g of fluorine to produce ___g magnesium fluoride Nick has two pieces of twine.One 20 feet long and the other one 12 feet long.If he wants cut them up to produce many pieces of twine that are all of the same length with no twine left over what is the greatest length in feet that he can make them?