Two whole numbers have a least common multiple (LCM) of 40.
• Each number is greater than 2.
• The greatest common factor (GCF) of the two numbers is 2.
What are the two numbers?
1.
20 and 2
2.
10 and 8
10 and 4
4.
8 and 5
pls this is due in 10 minutes pls help.​

Answers

Answer 1

Answer:

10 and 8

Step-by-step explanation:

Case 1:

20 and 2

20 = 2^2 x 5

2   = 2^1

=> LCM = 2^2 x 5 = 20 (not 40)

=> Incorrect pair of numbers

Case 2:

10 and 8

10 = 2 x 5

8  = 2^3

=> LCM = 2^3 x 5 = 40

=> GCF = 2

=> Correct pair of numbers

Case 3:

10 and 4

10 = 2 x 5

4  = 2^2

=> LCM = 2^2 x 5 = 20 (not 40)

=> Incorrect pair of numbers

Case 4:

8 and 5

8 = 2^3

5 = 5 x 1

=> GCF = 1 (not 2)

=> Incorrect pair of numbers

Hope this helps!

:)

Answer 2

The numbers which have the least common multiple (LCM) of 40 and greatest common factor (GCF) of the two numbers is 2 are 8 and 10.

Wht are LCM and GCF?

The LCM (Lowest Common Multiple) of two or more numbers is the smallest number among all common multiples of the provided numbers. In contrast, the greatest common factor (GCF) is the highest number among all the common factors of the given numbers.

Given that, two whole numbers have the least common multiple (LCM) of 40. and greatest common factor (GCF) of the two numbers is 2.

Let the two numbers be x and y

Now, we know that,

LCM (a, b) × HCF (a, b) = a × b.

40 ×  2 = xy

xy = 80

Therefore, the product of two number is 80.

Now, from the given options, the only pair having product 80 is 8 and 10.

Therefore, the numbers are 8 and 10.

Hence, the numbers which have the least common multiple (LCM) of 40 and greatest common factor (GCF) of the two numbers is 2 are 8 and 10.

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Related Questions

Answer plz!
Which choices are equivalent to the expression below? Check all that apply.

Answers

A, B and C but I’m contemplating D too but it’s def not E or F

The right options are:

Option A

Option B

Option C

Please see the attached picture.

hope it helps

Good luck on your assignment..

please need help I will be MARKING as BRIANILIST. thank you so much. ​​

Answers

Answer:

C

Step-by-step explanation:

5 lemons for $2.00

1 lemon is for 2/5=$0.40

Answer:

The answer is option C) $0.40

Step-by-step explanation:

Cost of 5 lemons= $2.00

cost of 1 lemon= 2.00/5

                        = 0.40

therefore $0.40 is the unit cost of each lemon in the bag.

Hope this helped you.

Simplify.
0
10
3
(2.8 + 1.2)
6
NEED THE ANSWER NOW!!!

Answers

Answer:

Step-by-step explanation:

Simplify: (–2x+y)(-58 y)
O 10x10,
10xv2
10xy
10x10 ,

Answers

Answer:

Choice C

Step-by-step explanation:

[tex](-2x^2y)(-5x^5y^3)=\\\\(-2)(-5)\times (x^2)(x^5)\times (y)(y^3)=\\\\10x^7y^4[/tex]

Hope this helps!

Answer:

10x7 y 4

Step-by-step explanation:

i just answered it

Twin brothers need help can anybody help them?

Answers

Answer:

210 cm^2

Step-by-step explanation:

3x-1 + 4x+1 + 3x = 70

10x = 70

x = 7

Now, Area of the triangle is 1/2 * b * h

therefore,

1/2 * 3x * 3x-1

1/2 * (3*7) * (3*7 -1)

1/2 * 21 * 20

21 * 10

210

210 is the area!

Hope this helps! mark as brainliest if helped! thanks!

210 cm^2

3x-1 + 4x+1 + 3x = 70

Simplify  

10x = 70

divide by 10

x = 7

So,

1/2 * 3x * 3x-1

1/2 * (3*7) * (3*7 -1)

1/2 * 21 * 20

21 * 10

210 would be your final answer

Step-by-step explanation:

Solve & Share
Evaluate the expression 3+ (6 – 2) X 4.
Solve this problem using the order of operations.
3 + (6 – 2) X 4

Answers

Answer:

[tex]19[/tex]

Step-by-step explanation:

[tex]3 + (6 -2) \times 4[/tex]

[tex]3 + (4) \times 4[/tex]

[tex]3 + 16[/tex]

[tex]=19[/tex]

Answer:

19

Step-by-step explanation:

use the other of operations

Which of the following figures has a pentagon as its base? A cube B pentagonal prism C triangular prism D rectangular prism

Answers

Answer:

Option B. Pentagonal prism

Step-by-step explanation:

Option (A). Cube

Base of a cube is a square.

Option (B). Pentagonal prism

A prism is always defined by its base.

Example: triangular prism, rectangular prism

Therefore, pentagonal prism will have a base in the shape of a pentagon.

Option (C). Triangular prism

Triangular prism will have a triangular base.

Option (D). Rectangular prism

Rectangular prism will have a rectangular base.

If two angles are complementary to the same angle, then they are congruent to each other.

Answers

Answer:

supplementary

Step-by-step explanation:

Answer:

Congruent Complement Theorem

Explanation:

I also had virtualsc, and this was the answer I chose, and it was correct.

The tip of a pendulum moves through an angle of 0.38 radians. If the radius of the pendulum is 25
centimeters, then which of the following is the length of the arc the tip moves through?
(1) 4.7
(3) 7.8
(2) 6.1
(4) 9.5​

Answers

Answer:

 The length of  arc  'l' = 9.5

Step-by-step explanation:

Explanation:-

Given radius of the pendulum r = 25

The tip of a pendulum moves through an angle of 0.38 radians

     θ = 0.38 radians

The length of  arc  'l' = rθ

                             'l' = (25)(0.38)

 The length of  arc  'l' = 9.5                        

What is 2 less than a number

Answers

Answer:

2<x

Step-by-step explanation:

less than x

Answer:

n-2

Step-by-step explanation:

lets put the variable N to mean the "number"

Subtraction is used to take away a certain amount, so 2 less than is that certain number subtracted 2

which can be written as n-2

PLS HELP MY HOMEWORK IS DUE SOON

Answers

Answer:

Seems like a personal issue

Step-by-step explanation:

Hint: Use your Brain!

A golfer exerts a force of 15.0 N on a golf ball that has a mass of 0.42 kg. What is the golf
ball's acceleration?

Answers

Answer:

35.71m/s²

Step-by-step explanation:

using the formula force(F)=mass(m)×acceleration(a)

a =

[tex] \frac{f}{m} [/tex]

F=15.0N

m=0.42kg

a=?

a=15÷0.42

a=35.71m/s²

Answer:

C

Step-by-step explanation:

the length of segment TQ= 29. explain how to find the length of segment QV. make sure to put the sentence in this form. statement then the because.
helpppp ):

Answers

Answer:

Length of segment QV = 35 units

Step-by-step explanation:

As shown in the figure attached,

Diagonals of TQVS are perpendicular to each other. Therefore TQVS will be a kite. By the property of a kite,

"There are two pairs of the sides which are equal in measure."

Therefore, TS ≅ TQ and SV ≅QV

Since TS ≅ TQ,

3x + 2 = 29 [Given: TQ = 29 units]

3x = 29 - 2

3x = 27

x = 9

Another pair of the consecutive sides is,

SV ≅ QV ≅ (4x - 1)

By substituting the value of x,

QV = (4 × 9) - 1

     = 36 - 1

     = 35 units

Therefore, length of segment QV = 35 units

How many dimensions does a plane have?
Ο Α. Two
O B. Zero
O C. One
O D. Three​

Answers

Answer:

2

Step-by-step explanation:

In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far

How many dimensions does a plane have?

● Α. Two

O B. Zero

O C. One

O D. Three

HELP EASY MATH PROBLEMS

Answers

Answer:

21. 98 cents

Gabby placed in 4th.

Step-by-step explanation:

Assuming Steven is paying, 51+45+2=98 cents.

Answer:

21. 98 cents

Gabby placed in 4th.

Step-by-step explanation:

oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo have a great day

27 30 33 36 identify d in this

Answers

Answer:

d = 3

Step-by-step explanation:

d represents the common difference between consecutive terms in the sequence, that is

d = 30 - 27 = 33 - 30 = 36 - 33 = 3

In 3 ​minutes, a conveyor belt moves 300 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 24 minutes. If both belts are​ used, find how long it takes to move the cans to the storage area. The time it takes to move the cans to the storage area using both belts is

Answers

Answer:

The answer is 1-1/2 minutes.

Step-by-step explanation:

11) Omar is flying a kite on a 50-foot string at a diagonal distance. The kite gets stuck at the top
of a 40-foot tree. How far is Omar from the tree?

Answers

Answer:

30 ft

Step-by-step explanation:

We have a right triangle.

Hypotenuse = c = 50 ft

Leg  #1 = a = 40 ft

Leg#2 = b = ?

We need to use Pythagorean Theorem

c² = a² + b²

50² = 40² + b²

b² = 2500 -1600 = 900

b = 30

For every 4 hours of babysitting, Sam charges $30. If last month she earned $75, how many hours did she babysit ?​

Answers

10 hours. she babysat for 10 hours.

Answer:

10

Step-by-step explanation:

If anybody now this pls help my homework due TOMORROW

Answers

Answer:

Part A: D. [tex]y = (x + 1)(x+3)\\[/tex]

Part B: C. [tex]3x(x-3) = 0\\[/tex]

Step-by-step explanation:

For part A) we just have to plug in 0 for x and solve for y until we find the equation that says 3 is the value for y when x is 0. For purposes of speeding up the process the correct answer is D. I will show how to check for it now.

The equation: [tex]y = (x + 1)(x+3)[/tex]

Now plug in 0 for x.

[tex]y = (0 + 1)(0+3)\\[/tex]

Now solve.

y = (1)(3)

y = 3

This proves that this is the correct answer.

For part B) we just have to plug in the give values for x separately and check for each value of x that it equals 0. For the purpose of speeding up the process the correct answer is C. I will show how to check for it now.

The equation: [tex]3x(x-3) = 0[/tex]

Now plug in x for 0 and solve:

[tex]3* 0 (0-3) = 0\\[/tex]

[tex]0(-3) = 0\\[/tex]

[tex]0 =0\\[/tex]

This equation is true, now we check for the other value of x, 3.

[tex]3*3(3-3) = 0\\[/tex]

[tex]9(0) = 0\\[/tex]

[tex]0 =0\\[/tex]

This is also true so that means this is the correct answer.

PLZ HELP I NEED HELP THANK YOU​

Answers

Answer:

3rd one

Step-by-step explanation:

The big prism is 10x10x15 = 1500, and all the values are bigger except for the third and fourth. However, since we are cutting something out it should be less than 1500, the only is the 3rd answer.

Answer:

1468 in^3

Step-by-step explanation:

you can just solve for the volume of the big container and then solve for the volume of the small container and subtract the volume of the small container from the big one.

big container: 10 x 10 x 15 = 1500

small container: 2 x 4 x 4 = 32

1500 - 32 = 1468

An employee at a factory is paid $9.25 per hour plus an $8.00 bonus for every 20 transformers assembled. Last week an employee worked 36 hours and assembled 380 transformers. How much money did the factory employee actually earn per hour last week rounded to the nearest cent?

Answers

Answer: -$13.47 per hour

Step-by-step explanation:

Hi, to answer this question we have to write an expression:

The total amount earned by the employee will be equal to the product of the number of hours he worked (36) and the amount paid per hour (9.25) ; plus the product of the amount paid for every 20 transformers assembled (8) and the number of transformers assembled (380)divided by 20 :

9.25 (36) + 8 (380/20) =  

Solving:

333+ 8 (19) =

333+152 = $485

If we divide the result by the number of hours:

485 /36 = $13.47 per hour

Feel free to ask for more if needed or if you did not understand something.  

Answer:

$13.47 per hour

:):):):):):)

Leticia is cutting a board to make a ramp for her skateboard. The ramp will slope from the ground up to a height of 4 feet. The board will make an angle of 25° with the ground. How long should she cut the board for her ramp? *
1 point



9.46 feet long



4.41 feet long



8.58 feet long



10 feet long

Answers

Answer:

Correct option: first one -> 9.46 feet long

Step-by-step explanation:

To find the length of the board for her ramp, we just need to use the sine relation of its angle with the ground.

The opposite side to the angle is the height of the ramp, and the hypotenuse of the triangle formed is the length of the board. So, we have that:

sin(25°) = height / length

0.4226 = 4 / length

length = 4 / 0.4226

length = 9.4652 feet

So the length of the board should be 9.46 feet (correct option: first one)

10 Points!!!

Which expression equals the fraction of the square that is shaded dark blue?

Answers

Answer:3/8

Step-by-step explanation: First we see that there are 8 squares and that 3 are shaded light blue and 3 are shaded dark blue so 3 out of the 8 squares are dark blue.

Answer:

1/2 * 3/4

Step-by-step explanation:

How many solutions does the system of nonlinear equations graphed below
have?

Answers

Answer: Look at the number of points where the graphs intersect each other...the points where the graphs of the functions cross each other are the solutions to the system. 

Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations. 

Step-by-step explanation:

Answer:

You Should see 4 Points

Step-by-step explanation:

∠1 and ∠2 are supplementary. If m∠1 = (3x - 17)° and m∠2 = (5x + 21)°. Find the value of x.

Answers

Answer:

Step-by-step explanation:

∠1 + ∠2 = 180   {supplementary}

3x  - 17  + 5x + 21 = 180    

Add the like terms

8x  + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Answer:

x = 22

Step-by-step explanation:

Supplementary angles add to 180

<1+ <2 =180

(3x - 17) + (5x + 21) = 180

Combine like terms

8x +4 = 180

Subtract 4 from each side

8x +4-4 = 180-4

8x = 176

Divide each side by 8

8x/8 = 176/8

x = 22

What is the equation of the translated function, g(x), if
f(x) = x2?
g(x) = (x - 4)2 + 6
g(x) = (x + 6)2 - 4
g(x) = (x - 6)2 - 4
g(x) = (x + 4)2 + 6

Answers

The answer is g(x) = (x+4)2+6

Answer:

D. g(x) = (x + 4)2 + 6

Step-by-step explanation:

I just took the test and this was the correct answer

is the dilation en enlargement or a reduction? what is the scale factor of the dilation?

Answers

Answer:

The dilation is an enlargement, and the scale factor is 2.  So, the answer is B.  

Step-by-step explanation:

The dilation is an enlargement, and the scale factor is 2.  

What is the scale factor?

The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.

The image of the object undergoing transformation is given.

From the attached object, we se that CP = 4.

Also CP' = 8

Thus; Scale factor is 8/4 = 2

Now, reduction is defined as reducing the dimensions while enlargement is increasing the dimensions by a scale factor.

Thus, the denominator of the scale factor is greater than the numerator, then there is a reduction.

The scale factor of the given dilation is; 2 and the dilation is a enlargement.

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In Circle S with MRST=118 and RS=8 units, find the length of arc RT. Round to the nearest hundredth

Answers

Answer:

RT ≈ 16.48 units

Step-by-step explanation:

The measure of arc RT is calculated as

RT = circumference of circle × fraction of circle

    = 2πr × [tex]\frac{118}{360}[/tex]

    = 2π × 8 × [tex]\frac{118}{360}[/tex]

     = 16π × [tex]\frac{118}{360}[/tex] ≈ 16.48 ( to the nearest hundredth )

     

The length of the arc RT is 8.23 units.

What are the properties of an arc?

The characteristics of a circle's arc are:

Measured in linear measures like centimetres, inches, or metres, the arc length is the distance along the arc. It is proportionate to the angle that the arc and circle's centre make.The arc measure, which is expressed in degrees or radians, is the magnitude of the angle that is produced between the centre of the circle and the arc. It varies in accordance with the arc length.

Since angle RST is 118 degrees, it subtends 118/360 = 0.3278 (rounded to four decimal places) of the full circumference of the circle. Therefore, the length of arc RT is:

length of arc RT = (0.3278) * (2 * π * radius)

where the radius is half the length of RS. Since RS is given as 8 units, the radius is 4 units. Substituting this into the formula, we get:

length of arc RT = (0.3278) * (2 * π* 4) = 2.0684 * π

Rounding to the nearest hundredth, we get:

length of arc RT ≈ 8.23 units.

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Find the volume of this problem

Answers

Answer:

Step-by-step explanation:

diameter = 6 in

r = 6/2 = 3 in

h = 11 in

Volume of cylinder = πr²h

                                = 3.14*3*3*11

                                = 310.86 in³

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