Match each set of numbers with their least common multiple.

288 44 504 84 200 108


27, 12, and 36→______

25 and 8→______

14 and 12→_______

9, 8, and 7→______

22 and 4→______

32, 24, and 18→ _________

Answers

Answer 1

L.C.M of 27, 12 and 36 is 108

L.C.M of 25 and 6 is 200

L.C.M of 14 and 12 is 84

L.C.M of 9, 8 and 7 is 504

L.C.M of 22 and 4 is 44

L.C.M of 32, 24 and 18 is 288

What is least common multiple?

This the the smallest number that a certain group of numbers can divide without remainder.

Analysis:

The product of 27, 12 and 36 is 11664, which can only be divided by 108.

Therefore 108 is the L.C.M of the numbers.

The product of 25 and 8 is 200 which is only divisible by 200.

The product of 14 and 12 is `168 which is divisible by 84.

The product of 9, 8 and 7 is 504, which is divisible by 504

The product of 22 and 4 is 88 which is only divisible 44

The product of 32, 24 and 18 is 13824 which is only divisible by 288.

In conclusion, The L.C.M of the numbers are 108, 200, 84, 504, 44, 288 respectively.

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Related Questions

8x-4=2(4x-4). Does this equation have only 1 solution?

Answers

Answer:

No, it has infinitely many solutions.

Step-by-step explanation:

Somebody please help!

Answers

Is it a negative 10?
if x=9, The answer is -89

una dintre fetele laterale ale unei piramide patrulatere regulate este triunghi echilateral cu latura de 7cm. Calculati aria bazei piramidei consideratei

Answers

Answer:

21.27 cm^2

Step-by-step explanation:

Pentru a calcula aria bazei, putem folosi formula lui Heron Matematic aceasta este;

A = √s (s-a) (s-b) (s-c)

Unde s = (a + b + c) / 2

a, b, c se referă la laturile triunghiului

A = (7 + 7 + 7) / 2 = 21/2 = 10,5

A = √10,5 (10,5-7) (10,5-7) (10,5-7)

A = √10,5 (3,5) (3,5) (3,5)

A = √450.1875

A = 21.2176 cm ^ 2, care este de aproximativ

21.22 cm ^ 2

what is a rhombuses?​

Answers

Answer:

Hey there! I hope this helps you. If you have any questions or concerns feel free to leave them in the comments so I can answer. Thank you!

A rhombus would be a flat shape that has 4 equal straight sides. People also refer to it as a parallelogram.

-All sides are equal

-Opposite sides parallel

~I hope I helped you! :)~

How do I find the missing side using the Pythagorean theorem?

Answers

Answer:

6.7082039325                         If you want to round it is 7

Step-by-step explanation:

a squared + b squared = c squared, where as 6 is a, 3 is b, and x is c.

6 squared + 3 squared is 36+9=45, so x is the square root of 45.

6.7082039325

What single percentage change is equivalent to a 13% decrease followed by a 21% decrease

Answers

Answer: 0.66 or 66%? (34% decrease)

Step-by-step explanation: 21+13=34 and 100-34 is 66

solve the equation 4x=48​

Answers

Answer:

x=12

Step-by-step explanation:

divide by 4 on both sides

the solution to the equation is x = 12.

To solve the equation 4x = 48,

we need to isolate the variable x.

We can do this by dividing both sides of the equation by 4.

4x / 4 = 48 / 4

When we divide 48 by 4, we get 12.

So, 4x = 48 simplifies to x = 12.

Therefore, the solution to the equation is x = 12.

This means that if we substitute 12 for x in the equation 4x, we get

4 multiplied by 12, which equals 48, satisfying the original equation.

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Please help me with these!!

Answers

Answer:

see explanation

Step-by-step explanation:

(28)

2x³ - 32x ← factor out 2x from each term

= 2x(x² - 16) ← difference of squares

= 2x(x - 4)(x + 4)

(29)

3x² + 6x + 3 ← factor out 3 from each term

= 3(x² + 2x + 1) ← perfect square

= 3(x + 1)²

(30)

[tex]x^{4}[/tex] - 81 ← difference of squares

= (x² - 9)(x² + 9) ← (x² - 9) is also a difference of squares

= (x - 3)(x + 3)(x² + 9)

(31)

5[tex]x^{5}[/tex] - 15[tex]x^{4}[/tex] + 10x³ ← factor out 5x³ from each term

= 5x³(x² - 3x + 2)

= 5x³(x - 1)(x - 2)

4. Z BAD is bisected by AC. What is the value of x? (3pts)
Please see directions on how to paste
parts of your work
B
C
(-4x + 42)
(64 - 6x)
А
D
someone help!! solve for x!!

Answers

(-4x + 42) = (64 - 6x)
-4x + 42 = 64 - 6x
+6x on both sides
2x + 42 = 64
-42 on both sides
2x = 22
/2 on both sides
x = 11

Answer:
x = 11

This table represents the proportional relationship between the number of boxes and the number of magnetic cubes held by the boxes.


What is the unknown value representing the unit rate?
A. 8
B. 125
C. 140
D. 156

Answers

Your answer would be C.
Have a good day!

Answer:

C

Step-by-step explanation:

DIRECTIONS: Use this information to answer Parts A and B.

A home sold for S286,000. The amount the homeowner received, before taxes and closing costs, was the selling price minus the commission to the real estate
agent, which was 6%.

Part A
How much commission did the real estate agent earn on the sale?

Enter the correct answer in the box.

Answers

Answer:

$17,160

Step-by-step explanation:

286,000·0.06=17,160

Which of the following i s the graph of f(x) = |3x - 4| + 1?

Answers

Answer:

Use slope intercept form to find your y intercept and slope. Once you plot your y intercept (0,1), use your slope (3) to go up three units and to the right one unit.

Step-by-step explanation:

hope this helps *_*

HELP PLEASE!! I'M CONFUSED.

Answers

Answer:

so am i

Step-by-step explanation:

Simplify each of the following expressions. –3(x + 3) + 4x

Answers

Answer:

-3(x+3) + 4x

simplifies to

x-9

Step-by-step explanation:

have a good day

Answer: -9

Step-by-step explanation:

−3(x+3)+4x

Distribute:

=(−3)(x)+(−3)(3)+4x

=−3x+−9+4x

Combine Like Terms:

=−3x+−9+4x

=(−3x+4x)+(−9)

=x+−9

Answer:

=x−9

Have a good day can u give me brainliest pls.

Pls solve number 4 ASAP pls and thank you

Answers

Answer:  7776

........................

Kaitlen buys 1 ninth pound of orange slices

Answers

thank you for letting me know lol. this wasnt a question

Convert y - 8 = 3(x + 8) to slope-intercept form.

Answers

Answer:

y - 8= 3(x+8) in slope intercept form is y = 3x + 32

Answer:

y= 3x-16

Step-by-step explanation:

invests $5,000 in a simple interest account for 5 years. What interest rate must the account pay so there is $6,000 in the account at the end of 5 years?

Answers

Answer:

They must pay 4% interest rate. Hope I am able to help.

Step-by-step explanation:

If the weather forecast calls for a 20% chance of light rain tomorrow, would you say that it is likely to rain tomorrow?

Answers

Answer:

Unlikely

Step-by-step explanation:

There are more chances that tomorrow there will be no rain than the raining we can say that it is unlikely to rain tomorrow.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

The weather forecast calls for a 20% chance of light rain tomorrow.

Probability of rain:

P(rain) = 20% = 0.2

Complement event: Not rain tomorrow

Probability of complement event P(not rain) = 1 – 0.2 = 0.8 or 80%

P(not rain) > P(rain)

Thus, there are more chances that tomorrow there will be no rain than the raining we can say that it is unlikely to rain tomorrow.

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Find the number which when divided by 4 and increased by 12 is the same as when it is divided by 3 and decreased by 5

Answers

Step-by-step explanation:

Let's make the number we're finding to be [tex]a[/tex]. So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be [tex]\frac{a}{4} +12\\[/tex]. It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be [tex]\frac{a}{3} -5\\[/tex]. Since they are the same, we have the equation below.

[tex]\frac{a}{4} +12 = \frac{a}{3} -5\\[/tex]

All we have to do now is to find [tex]a[/tex].

[tex]\frac{a}{4} +12 = \frac{a}{3} -5 \\ \frac{a +48}{4} = \frac{a -15}{3} \\ (3)(a +48) = (a - 15)(4) \\ 3a +144 = 4a -60 \\ (60 -3a) + 3a +144 = 4a -60 +(60 -3a) \\ a = 204[/tex]

Answer:

Our number must be [tex]204[/tex]. I think

Brianna is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $3.75. Brianna spent $18.75 altogether at the carnival and the number of games she played is twice the number of rides she went on. Graphically solve a system of equations in order to determine the number of games Brianna played, x,x, and the number of rides Brianna went on, yy.

Answers

Answer:

6 games and 3 rides

Step-by-step explanation:

Let the number of games Brianna played be x,

and the number of rides she went on be y.

Total cost for games= 1.25x

Total cost for rides= 3.75y

Since number of games is twice the number of rides,

x= 2y -----(1)

Total costs= cost of games +cost of rides

[tex]18.75= 1.25x +3.75y[/tex]

Multiply the whole equation by 4 to remove the decimals:

[tex]75= 5x +15y[/tex]

Simplify by dividing the whole equation by 5:

[tex]15 = x + 3y[/tex]

Label the equation:

x +3y= 15 -----(2)

Although we can solve these 2 equations by substitution, since the question requires us to graphically solve, we have to graph 2 linear lines.

I will choose 3 points to plot on the graph for each equation:

x= 2y -----(1)

[tex]\begin{tabular}{|c|c|c|c|}

\cline{1-4}x & 2(1) = 2&2(2) = 4&2(3) = 6\\

\cline{1-4}y & 1 &2&3\\

\cline{1-4}

\end{tabular}[/tex]

x +3y= 15 -----(2)

x= -3y +15

[tex]\begin{tabular}{|c|c|c|c|}

\cline{1-4}x & -3(1)+15= 12& -3(2)+15= 9& -3(3)+15= 6\\

\cline{1-4}y & 1 &2&3\\

\cline{1-4}

\end{tabular}[/tex]

Let's plot these points on a graph paper. Then, join them with a straight line for each straight line graph. Please see the attached picture for the graph.

From (1): y= ½x

From (2): 3y= 15 -x

y= 5 -⅓x

From the graph, the solution of the equation is (6,3). The solution is the point on the graph in which the 2 lines intersect.

x- coordinate: 6

y- coordinate: 3

Thus, Brianna played 6 games and went on 3 rides.

Answer:

6 games=$7.5  3 rides=$11.25

1.25*6=7.5

3.75*3=11.25

7.5+11.25=18.75

rp+s=t in terms of r, s,and t

Answers

Answer:

p=(t-s)/r

Step-by-step explanation:

This is an equation so all we have to do is solve backwards step by step:

rp+s=t

rp+s-s=t-s

rp/r=(t-s)/r

p=(t-s)/r

Please help I will give 25 points!

Answers

Seconds One. You just divide both sides by 2(pi)h

9. Which property is illustrated?
For all expressions a, b, and c, if a = b , then a+c=b+c.
Distributive Property of Equality
Associative Property of Addition
Commutative Property of Addition
Addition Property of Equality
Subtraction Property of Equality
10. True or False: An argument that uses logic in the form of definitions, properties, and previously proved

Answers

Answer:

It is Distributed property and False

Step-by-step explanation:

-5(c-2)=20-5c+10
help please

Answers

Answer:

20+10c

Step-by-step explanation:

-5(c)= -5c

-5(-2)=10

-5c+10=20-5c+10

Algebra 2 Math question Grade 11
Can anyone please help me with this question? Soon as possible!


Write an equation for the line that passes through the points (3,5) and (-2, 1).

All work must be shown for full credit. Be sure to include slope calculation.

Answers

Answer:

[tex]\displaystyle y=\frac{4}{5}x+\frac{13}{5}[/tex]

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where m the slope of the line and b the y-intercept.

When two points are given, it's convenient to calculate the slope first.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The points are (3,5) and (-2,1):

[tex]\displaystyle m=\frac{1-5}{-2-3}=\frac{4}{5}[/tex]

The equation is now:

[tex]\displaystyle y=\frac{4}{5}x+b[/tex]

To calculate b, we use any of the given points and solve for b. Use (3,5):

[tex]\displaystyle 5=\frac{4}{5}3+b[/tex]

Operate:

[tex]\displaystyle 5=\frac{12}{5}+b[/tex]

Solve:

[tex]\displaystyle b=5-\frac{12}{5}=\frac{13}{5}[/tex]

The required equation of the line is:

[tex]\boxed{\displaystyle y=\frac{4}{5}x+\frac{13}{5}}[/tex]

Landen has violin lessons every 3rd day and singing lessons every 5th day. Today Landen has both lessons. In how many days will Landen have both lessons on the same day again?

Answers

Answer:

The 15th day

Step-by-step explanation:

Violin Lessons - 3, 6, 9, 12, 15

Singing Lessons - 5, 10, 15

Landen will have violin and singing lessons on the fifteenth day.

Hope this helped! :)

Help me ASAP please!!!

Answers

A. 4/5 of them are grey

Ευρωλο
The Sugar Sweet Company is going to transport its sugar to market. It will cost $7500 to rent trucks, and it will cost an additional $175 for each ton of sugar
transported
Let Crepresent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S. Then use this
equation to find the total cost to transport 19 tons of sugar.
Equation:
DO
Total cost to transport 19 tons of sugar: sl
х

Answers

Answer:

$10,825

Step-by-step explanation:

let C: represent the total cost which is what we are looking for

let a: represent the cost of renting a truck

let b: represent the cost of each tone of sugar

let s: represent the quantity of the tons of sugar

From the question the additional cost of the sugar depends on the tons

so we multiply the tons by $175

so our equation will be

C = a + bs

in this case our value of b is $175

so we have

C = a + $175s

C = $7500 + ($175 * 19)

C = $7500 + $3325

C = $10,825

Mr. Smith and Mr. Kelly are business partners. They agreed to divide the profits in the ratio of 3: 2. The
profit amounted to $10.
How much did Mr. Smith receive?

Answers

Me smith made £6 Whilst Mr Kelly made 4

Answer: 6

Step-by-step explanation: 10/5=2 2*3=6 which means Mr. Kelly received 4 and Mr. Smith received 6 dollars.

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