The lcm of 120 and n is 2520. Find the smallest value of n.

Please explain the answer. Thank you.

Answers

Answer 1

Answer: The smallest value of n is:

n = 21

Step-by-step explanation:

We know that the LCM (least common multiple) between 120 and n is 2520.

We want to find the smallest value of n.

The smallest value of n will be such that n does not share any prime number with 120, then the greatest common factor between 120 and n is 1.

Remember that the LCM between A and B is:

LCM(A, B) = A*B/(GCM(A, B))

Then if the greatest common factor between A and B is 1, we will have:

LCM(A, B) = A*B

Then if the greatest common factor between 120 and n is 1, we have that:

LCM(120, n) = 120*n = 2520

then:

n = 2520/120 = 21

The smallest value of n is n = 21.


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A movie theater seating is arranged with 15 seats in the front row, 14 seats in the middle row, and 26 seats in the back row. The ticket-taker randomly assigns seats to people as they enter the theater. What is the probability that the first person who enters the theater will be assigned a seat in the front row? Ratio Answer in simplest form.

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Answer:

3/11

Step-by-step explanation:

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Step-by-step explanation:

6 = 2 (y + 2) what is the value of the y​

Answers

Answer:

Step-by-step explanation:

6=2(y+2)

6=2y+4

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Answer:

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Step-by-step explanation:

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There ya go

There are 63 color pencils of which 14 are black, 21 are white and the remaining are yellow.
What fraction of the pencils are yellow in color? Simplify your answer.

Answers

Answer:

4/9

Step-by-step explanation:

7/25
i think :)
kenddnnfnccnnccnnfnddk

Help please!
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Answers

Answer:

G

Step-by-step explanation:

Red marble probably currently: 12/32 = 3/8

Guess and check (using the multiple choice answers):

F: 12 + 13 / 32 + 13 = 25/45 = 5/6; does not equal 3/5

G: 12 + 18 / 32 + 18 = 30/50 = 3/5; does equal 3/5

H: 12 + 28 / 32 + 28 = 40/60 = 2/3; does not equal 3/5

J: 12 + 32 / 32 + 32 = 44/64 = 11/16; does not equal 3/5

K: 12 + 40 / 32 + 40 = 52/72 = 13/18; does not equal 3/5

how do you simplify 1/10 ​

Answers

Answer:

0.1

Step-by-step explanation:

[tex]10\sqrt{1} \\10\sqrt{1.0} \\=0.1[/tex]

GEOMETRY The sum of the measures of the angles of a trapezoid is 360 degrees. Find the missing measure

Answers

Answer:

70

Step-by-step explanation:

Add them all first

100+110+80=290

Then subtract

360-290

what's the slope in intercept form pls help me

Answers

Answer:

y=1x+1

Step-by-step explanation:

Multiply row 2 by the reciprocal of −40:



4−1−4
0−400
001
−7
40
3





4−1−4
0
0
001
−7
3

Answers

Answer:

first answer is 1 second is negative -1 answer for edge 2021

Step-by-step explanation:

correct

Answer:

the first one is 1 , -1

the second one is 4, 0 , -4 , -8

Step-by-step explanation:

i just did it

Please help, thank you.

The question is in the picture

Answers

D.kite

youre welcome hihihi

Which relationship describe angles 1 and 2

Vertical angles
Adjacent angles
Supplementary angles
Complementary angles

Answers

They are supplementary angles. They are located on a straight line, and when added together they will add up to 180 degrees.

A mechanic is comparing how quickly two kinds of motor oil heat up. He records the change in the temperature (degrees Fahrenheit) of each motor oil over time (minutes) in the same car traveling under the same conditions at the same speed. The graph shows his results for the first motor oil.


The table shows his results for the second motor oil.

image e43bb99419b8473bb60e9585b380f662

What conclusion can the mechanic make about the two kinds of motor oil?

A
The rate of temperature increase for the first motor oil is 0.5°F greater than that of the second motor oil.
B
The rate of temperature increase for the first motor oil is 3°F greater than that of the second motor oil.
C
The rate of temperature increase for the second motor oil is 3°F greater than that of the first motor oil.
D
The rate of temperature increase for the second motor oil is 0.5°F greater than that of the first motor oil.

Answers

Answer: C

Step-by-step explanation:

The diameter of a circle is 12 miles. What is the circle's circumference? Use 3.14 for ​.

Answers

Answer:

should be 37.68 miles

Step-by-step explanation:

12 x 3.14

Each serving for a box of trail mix is 3/8 of a cup.

Enter the number of 3/8 -cup servings there are in 1 1/2 cups of trail mix.

Answers

Answer:

It's 4

Step-by-step explanation:

It asks how many 3/8 cups are in 1 1/2 cups. So, we divide.

1 1/2 ÷ 3/8. We have to change the 1 1/2 into a improper fraction. 1 1/2 = 3/2. 3/2 ÷ 3/8 = 3/2 ÷ 8/3 = 24/6. Simplify, and you get 4. :)

a pencil costs 16p and a rubber costs 23p. bob purchases 18 pencils and 12 rubbers. Calculate how much he spends

Answers

Answer:

564p

Step-by-step explanation:

I hope this helps you.

8) what is the first operation you should perform to solve this-

Answers

Answer:

Subtract 12

Step-by-step explanation:

Start by subtracting 12

Then multiply both sides by -5

In the triangle PQR, PQ= 7, QR= 8, and PR= 14. Which is the largest angle?
a.) this cannot be determined
b.) /PRQ
c.) /PQR
d.) /QPR
A N D ! !
Which combination of measurements could form a triangle?
a.) 11m, 21m, 33m
b.) 6m, 9m, 16m
c.) 16m, 24m, 38m
d.) 22m, 28m, 51m

Answers

Answer:

the largest angle=<PQR

c.) 16m, 24m, 38m

The largest angle of the triangle is ∠PQR and the measurements of the triangles are 16m, 24m, 38m

What is a Triangle?

A triangle is a three-sided flat figure or polygon with three angles.

A triangle has three vertices, and the internal angles amount to 180°.

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x L x B

For a right angle triangle

From the Pythagoras Theorem ,

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔPQR

Now , the measure of side PQ = 7

The measure of side QR = 8

The measure of side PR = 14

Now , for a triangle , the angle opposite the smallest side of a triangle has the smallest measure.

And , the angle opposite the largest side has the largest measure

So , the angle opposite to the side PR = ∠PQR

Therefore , The triangle's largest angle is ∠PQR

Now , the measure of the sides of the triangles are given and

a + b > c

when a = 16 , b = 24 and c = 38

16 + 24 > 38

40 > 38

Therefore , the measures 16m, 24m, 38m form a triangle

Hence , the triangles are solved

To learn more about triangles click :

https://brainly.com/question/16739377

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HELP MATH HELP MATH math is hard pls help me and give workings too thank you so much

Answers

Answer:

For the first question the answer is 50(0.2 + 1)^2 = 72

For the second question it is y = 32

Step-by-step explanation:

In case you need to see how i got it...it's below

For number 1, y is proportional to (x + 1)^2

The equation would be y(x +1)^2 = k(the constant). Then I substituted numbers you gave me in the equation which was : 50(0.2 + 1)^2 = k(72)

For number 2 I used this equation: y (x + 1)^2 = 72. I substituted x for 0.5. The equation will be: y(0.5 + 1)^2 = 72. Then I got 32 for y.

Hope this helps:)

Answer:

For the first question the answer is 50(0.2 + 1)^2 = 72

For the second question it is y = 32

Step-by-step explanation:

In case you need to see how i got it...it's below

For number 1, y is proportional to (x + 1)^2

The equation would be y(x +1)^2 = k(the constant). Then I substituted numbers you gave me in the equation which was : 50(0.2 + 1)^2 = k(72)

For number 2 I used this equation: y (x + 1)^2 = 72. I substituted x for 0.5. The equation will be: y(0.5 + 1)^2 = 72. Then I got 32 for y.

Hope this helps:)

Step-by-step explanation:

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Answers

Answer:

1. 37

2. 26

3. 26

Step-by-step explanation:

Subtracting 63 from 180, you find the linear pair, being 117 which helps find an angle in the lower triangle. The sum of all angles is 180, and to find 2, you subtract the known angles ( 180-(37+117)) which equals 26. Knowing the shape is a parallelogram, and the opposite sides are parallel, we can say 2 and 3 are congruent through the alternate interior angles theorem. 1 is found through applying the same theorem.

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-10/20, 7 3/30, 0.2

Answers

-10/20, 0.2, 7 3/30

in order from least to greatest

Juan bought a laptop for $650 and a power adapter for $59. If the sales tax rate is 6%,
what was the total tax that Juan paid?

Answers

Answer:

$42.54

Step-by-step explanation:

total spent- 709

6/100*709= 42.54

if my answe helps please mark as brainliest.

$42.54 thats the answerrrrr

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x= -2y + 14
Which variable should an expression be substitute for?

Answers

9514 1404 393

Answer:

  x

Step-by-step explanation:

There is already an expression given for x, so that is the easiest variable to substitute for.

Substituting for x using the second equation, you have ...

  -3(-2y+14) +y = -14

  6y -42 +y = -14

  7y = 28

  y = 4

  x = -2(4) +14 = 6

The solution is (x, y) = (6, 4).

_____

Substitution for x is the easiest.

__

The first equation could be rearranged to give an expression for y:

  y = 3x -14

Then that can be used to substitute for y in the second equation. My lazy brain judges that to be more work.

-6 + (-2) + 5= ?

Help would really be appreciated!! :)

Answers

Answer:

-3

Step-by-step explanation:

Answer:

-6 + (-2) + 5 = -3

(Hope this helps! Btw, I am the first to answer. Brainliest pls! :D)

each load of laundry cost 6 quarters at the laundromat indepentdent and dependent varible which is dependent and independent?

Answers

independent is the number of loads

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Explain how the parts of the balanced hanger compare to the parts of the equation.



7 = 2x + 3

Answers

Answer:

There are seven squares on the left side and on the right side there is 2 circles and 3 squares i.e. attached to each other

Step-by-step explanation:

The explanation is shown below:

Given that

7 = 2x + 3

There are seven squares on the left side and on the right side there is 2 circles and 3 squares i.e. attached to each other

Kindly see the picture on the attachment area

Someone pleaseee help meeeee :( ???? On this.

Answers

Answer:

A. 9

Step-by-step explanation:

To solve slope with points, use the equation: [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]. In this case it would be: [tex]\frac{7 - (-2) }{-6- (-7) }[/tex]. 7 - -2 is also 7 + 2 or 9. -6 - - 7 is also -6 + 7 or 1. So the final fraction is [tex]\frac{9}{1}[/tex] or 9.

Hope it helps!

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

Answers

WX=XY, VX=XZ Given

Angle WXV = Angle YXZ Vertical Angles theorem

Triangle VXW = Triangle YXZ Side angle Side postulate

WVX = YZX because corresponding parts of congruent triangles are congruent

Fwam answered 142 questions correctly on his multiple choice science final that had
a total of 200 problems. What percentage of questions did Fwam answer correctly on
the final exam?

Answers

Answer:

71%

Step-by-step explanation:

Percentage Chart

X is what percent of 200?142 is71% of 200143.26 is71.63% of 200144.64 is72.32% of 200146.02 is73.01% of 200

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