Two whole numbers have a least common multiple of 60. -Each number is less than or equal to 12. -The greatest common factor of the two numbers is 2. What are the two numbers?

Answers

Answer 1

Answer:

The two number are 10 and 12

Step-by-step explanation:

Two whole numbers have a least common multiple of 60.

We are told that:

-Each number is less than or equal to 12.

The first thing we know is that: one of that two number is 12

The next step would be to find the factors of 60

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 60 that is equal to or less than 12 is

1, 2, 3, 4, 5, 6, 10, 12

We would find which of these number that has the greatest common factor of 2 with 12

The factors of 10 are: 1, 2, 5, 10

The factors of 12 are: 1, 2, 3, 4, 6, 12

Then the greatest common factor is 2...

Also calculating the least common factor of 10 and 12

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80

Multiples of 12:

12, 24, 36, 48, 60, 72, 84

Therefore,

LCM(10, 12) = 60

Therefore, two numbers with the least common multiple of 2 and greatest common factor of 60 is 10 and 12


Related Questions

Find the midpoint of the segment with the following endpoints. (7,−9) and (−3,−6)

Answers

Answer:

it should be (2,-7.5) if u use the midpoint formula i think

Step-by-step explanation:

(2,-15/2) would be the answer if u leave it in fraction form

someone pls answer this

Answers

Answer:

im pretty sure shes right

Step-by-step explanation:

Can someone help me with questions 1 and 2 for geometry and explain how you got the answer. Thanks will mark brainliest

Answers

Answer:

I would say but sorry I don't know sorry bud but can I be brainliest

1.To find the parallel line, the slope would be exactly same with y=x-4 which is y=x. So the form of this would be y=x+b. Now we have to solve for b. If we put the points in here, 3=-2+b b=5, so the equation would be y=x+5

2. To find the perpendicular line, the slope would be -1/m. So the slope of the equation would be -1/2x so the form would be y=-1/2x+b. If we put the points in here, it would be 3=-1/2(-5)+b 3=2.5+b b=1/2 So the equation would be y=-1/2x+1/2

what is the product
A: [-32 4 20 -36]
B: [32 -4 -20 36]
C: [4 -5-9 5]
D: [-32 -1 -5 9]

Answers

Answer:

A. I hope that this helps

Answer:

it is A.

Step-by-step explanation:

i took the test and got %100

3. Patrick kicks a soccer ball from the ground into the air. When the ball is a horizontal distance of 12 feet from
him, it is 14 feet above the ground. When the ball is 32 feet from him, it is 7 feet above the ground.
Use quadratic regression on a graphing calculator to write a function for the height of the ball in terms of
its horizontal distance Round to the nearest thousandth (

Answers

Answer:

The function for the height of the ball in terms of its horizontal distance is

[tex]y = -\frac{91}{1920}\cdot x^{2}+\frac{833}{480}\cdot x[/tex]

Step-by-step explanation:

From Physics, we know that ball describes a parabolic motion, in which trajectory is described by the following second-order polynomial (quadratic function):

[tex]y = a\cdot x^{2}+b\cdot x + c[/tex] (Eq. 1)

Where:

[tex]x[/tex] - Horizontal distance, measured in feet.

[tex]y[/tex] - Vertical distance above the ground, measured in feet.

[tex]a[/tex] - Second order coefficient, measured in [tex]\frac{1}{ft}[/tex].

[tex]b[/tex] - First order coefficient, dimensionless.

[tex]c[/tex] - Zero order coefficient, measured in feet.

We can obtain the second-order polynomial associated with the soccer ball by knowing three distinct points and solving the resulting system of linear equations. If we know that [tex](x_{1},y_{1}) =(0\,ft, 0\,ft)[/tex], [tex](x_{2},y_{2})=(12\,ft, 14\,ft)[/tex] and [tex](x_{3},y_{3})=(32\,ft, 7\,ft)[/tex], then the system of linear equations is:

[tex]c = 0[/tex]

[tex]144\cdot a+12\cdot b +c = 14[/tex]

[tex]1024\cdot a +32\cdot b + c = 7[/tex]

The solution of this linear system is:

[tex]a = -\frac{91}{1920}[/tex], [tex]b = \frac{833}{480}[/tex], [tex]c = 0[/tex]

Therefore, the function for the height of the ball in terms of its horizontal distance is

[tex]y = -\frac{91}{1920}\cdot x^{2}+\frac{833}{480}\cdot x[/tex]

In addition, we present a graphic of the given function as attachment.

Some friends played a board game. During the​ game, one unlucky player had to move back 5 spaces 8 turns in a row. Find a number to represent that​ player's movements for those 8 turns.

Answers

Answer:

Total move back spaces = 40

or

Total moves = -40

Step-by-step explanation:

Given:

Move back spaces = 5

Number of total turn = 8

Find:

Total move back spaces

Computation:

Total move back spaces = 5 x 8

Total move back spaces = 40

or

Total moves = -40

For each expression, write another division expression that has the same value and that can be used to help find the quotient.

Type your response in each box below.

1. 302.1÷0.5 ___

2. 12.15÷0.02 ___

3. 1.375÷0.11 ___

Answers

Another division expression that has the same value and can be used to determine the quotient are:

604.2 ÷ 1 121.5 ÷0.24.125 ÷ 0.33What are decimals?

A decimal is a number that is made up of integers and non-integers. The integers and the non- integers are separated by a decimal point.

What does division mean?

Division is the process of grouping into equal parts using another number. The sign used to denote division is ÷.

To learn more about decimals, please check: https://brainly.com/question/15287678

slope = -2,through (3,-5)

Answers

Answer:

y=-2x+1

Step-by-step explanation:

y=-2x+b

-5=-6+b

b=1

y=-2x+1

Answer:

The other pair of points are (4, 3) I think...

Is (-4,5) a solution to this system of inequalities

Answers

I think the answer would be “no”

Jackson spends 2 1/4 hours painting 2 1/2 pictures. He spends the same amount of time painting each picture

Answers

0.9 hours or 9/10...

1. Which is an example of a linear equation
correctly written in standard form?
a. -4x + 5y = 22
b. 3x + 1/2y = 10
c. 7x - 9y = 14
d. 3/4x + 6y = -25

Answers

Answer:
C

Explanation:

Four points on an ellipse are (9, -2), (-5, -9), (1, 0), and (11, -5). Use matrices to represent the system of equations using the general form and all four points, in the order given. The first point corresponds with the first row, etc. (Note: The A value is 1, so set the equations up to solve for C, D, E, and F.)

Answers

9514 1404 393

Answer:

  please open the second attachment

Step-by-step explanation:

The matrix representation of the equations for the coefficients is attached.

Explain how to convert an equation from slope-point from to slope-intercept fom.

Answers

Step-by-step explanation:

When you compare the two ways of writing a line, you might notice that there are some similarities. Both retain a y variable, an x variable and the slope of the line. So all you really need to get from point-slope form to slope-intercept form is a little algebraic manipulation. Consider the example given of a line in point-slope form: y + 5 = 3(x – 2).

Distribute x- Use the distributive property to simplify the right side of the equation:

Isolate the y Variable- Subtract 5 from both sides of the equation to isolate the y variable, which gives you the equation in point-slope form:

3 in
9 in
13 in
Surface Area =


Help also explain please

Answers

To find surface area we can do 2(l)(w) + 2(l)(h) + 2(h)(w). l = length; w = width; h = height.

Next

Plug in 3 for length, 9 for height, and 13 for width. ( or however you’d like for width length height but only one number can be represented by h, l, and w.)

Then we add all the numbers
2(3)(13)+ 2(3)(9) + 2(9)(13) = SA (surface area)

78 + 54 + 234 = 366 in^2 or 366 sq. inches

Find the measure of angle AEF in the figure below enter only the number

Answers

Answer:

60

Step-by-step explanation:

The middle is a straight angle, which is 180 degrees, and FEB is 120 degrees. 180 - 120 is 60

The measure of the angle AEF will be equal to 60°.

What is coordinate geometry?

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

The supplementary angles are the angles having the sum of the angles as 180 degrees.

The middle is a straight angle, which is 180 degrees, and FEB is 120 degrees.

The measure of the angle AEF is,

AEF = 180 - 120

AEF = 60°

Therefore, the measure of the angle AEF will be equal to 60°.

To know more about coordinate geometry follow

https://brainly.com/question/18269861

#SPJ5

The same garden shop sells mulch according to the equation y = 20x, where y represents the cost in dollars, and x represents the number of cubic yards of mulch. Which statement is true of the cost of topsoil and mulch?

Answers

Answer:

20 = cost per mulch of cubic yards sold

Step-by-step explanation:

Given:

y = 20x

Where,

y = the total cost in dollars

x = the number of cubic yards of mulch

20 = cost per mulch of cubic yards sold

The only untrue statement is that the cost of topsoil and mulch is 20

Answer:

20

Step-by-step explanation:

Shen's mother gave him $10 to go buy groceries . He picked up a gallon of milk for $3.49 , three pounds of oranges that cost $1.14 per pound , and a box of cereal for $3.46 . Shen used front-end estimation to determine whether he had enough money for the groceries . how much did he estimate the total cost would be A. he estimated that he had about $7 worth of groceries B. he estimated that he had about $9 worth of groceries C. he estimated that he had about $10.30 worth of groceries D. he estimated that he had about $10.40 worth of groceries

Answers

Answer:

B-he estimated that he had about $9 worth of groceries

9. Determine the slope of the line graphed below. 10 6 2 -10 -8 2 8 10 10​

Answers

Answer:

y=mx+b. 6,-16,2,8,10,10

Step-by-step explanation:

hope this helped

Which function best describes the
number of bacteria present in the
colony on day x?

Answers

Answer:

Hello. The answer is A.

Step-by-step explanation:

Just put different x in the four formulas below and see which one will give you the correct amount.

I hope you understand.

A is the correct answer.

(20 POINTS) What is true of the great lakes?
a. serve ad a natural border between the united states and mexico

b. cause the climate around them to be warm and dry

c. combine to make the largest body of freshwater in the world

d. make is easy to transport goods to the west coast

Answers

Answer: C

Explanation: The Great Lakes are the largest freshwater source in North America. Michigan borders most of them. The answer is C.

What are the solutions to the following system of equations? Select the correct answer below.
y = x2 − 2x + 4
8x + y = 20
a (2, 84) and (−8, 4)
b(−8, 2) and (84, 4)
c(2, 4) and (−8, 84)
d(4, −8) and (84, 2)

Answers

Answer:

8x + x2 - 2x + 4

Step-by-step explanation:


Hello I need some help with this problem if you don’t know how do this please move along and don’t get me excited and you leave or answer with something dumb please send me the picture of the work and don’t just use a calculator I need the work...

Answers

Answer:

you have to times it by it's reciprocal I think so

[tex] - \frac{3 }{1} [/tex]

times 2/7then cross multiply so u would get -2/21

you put a 1 under the three to make it a fraction so

-3 2 -6
—- x ——- = ——
1 7 7

Please answer, I’ll give brianiest

Answers

Answer:

y=3x+3

Step-by-step explanation:

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-9,7) and (0, -5)

Answers

Answer:

15 units

Step-by-step explanation:

distance formula is √(x-x)^2 + (y-y)^2

Answer:

15

Step-by-step explanation:

[tex]d=\sqrt{(0-(-9))^{2} + (-5-7)^{2} } \\d=\sqrt{225} \\d=15[/tex]

23.984 round to the nearest tenth

Answers

Answer:

24

Step-by-step explanation:

9 is in the tenths place, and because 8 is in the hundredths, we need to move 9 up one number. However, that gives us 10. So we add 1 to 23 because 10 tenths is like 1 whole number.

1+23=24

Answer:

its is 23.990

Step-by-step explanation:

Help me please!!
Name the Property of Equality that justifies the statement:
If m∠A + m∠B = m∠C, then m∠A = m∠C - m∠B
A. Transitive Property
B. Symmetric Property
C. Reflexive Property
D. Subtraction Property

Answers

Answer:

Subtraction Property

Step-by-step explanation:

Subtraction Property Equality helps you to deduct the same number to get an identical equation from both sides of an equation.

Answer:

[tex]D. \: Subtraction \: Property[/tex]

Step-by-step explanation:

[tex]subtraction \: of \: a \: perticular \: value \: \\ from \: both \: sides \: of \: the \: equation.[/tex]

♨Rage♨

20 POINTS!! HELP ME PLZZ I NEED HELP WITH THIS !!

Answers

0.25

That' s the answer

Answer:

3/12=0.25

Step-by-step explanation:

3÷3

12÷3=1/4

1÷4

=0.25

5) What is the solution of 4x – 30 ≥ -3x + 12?

Answers

Answer:

X is equal to or greater than 6

Step-by-step explanation:

Answer:

x≥6

if you want me to explain let me know

A wholesale club sells eggs by the dozen. Does the table show a proportional relationship between the number of dozens of eggs and the cost? Explain

Answers

Answer:

Answer: The table is proportional.

Step-by-step explanation: You would do 21/6 to get 3.5. Then 28/8 to get 3.5. After 35/10 to get 3.5. Finally 49/14 to get 3.5. If each answer (3.5) is the same than it is proportional.

Answer: The table is proportional.

hope dis help

12 x 10 exponent 2 plzz help rnnnnn

Answers

Answer:

1200

Step-by-step explanation:

[tex]12*10^{2}[/tex]

Following PEMDAS we need to do the exponent before multiplying

[tex]12*100=1200[/tex]

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