14 is the GCF of a number M and 210. What are possible values of M?

Answers

Answer 1

Answer:

Hello,  

we know that to find the GCF we descompose the numbers and then we multiply the common terms with the lowest exponent. So we first descompose 210:

210   | 2

105   | 3

 35   | 5

   7   | 7

   1    

210= 2x3x5x7

Now one possible solution is 14 because:

14   | 2

 7   | 7

 1

As you can see 2 and 7 are common terms, so:

GCF= 2x7

GCF=14   -->  It's correct

Then, if we analyze it, we'll realize that we have an infinitive number of solutions. The only requirement is that "M" must have 2 and 7 when we descompose it.

For example:

M= 2²x7x3x11

M=924

924 is another possible solution, it doesn't matter if 2 or 7 repeat, since I said the GCF is the multiplication of the common terms with the LOWEST exponent. That's all.

Step-by-step explanation:


Related Questions

When do we use = and when do we use ~
=​

Answers

When we use this = it means it is the exact
answer
When we use ≈ it means it is an estimated answer and not the exact answer Example 12.4684729572974729758328 ≈ 12

Which inequality best represents the domain of the part shown

Answers

Answer:

there is no question upload it

Step-by-step explanation:

Answer:

so guess what I need some points so that's why I'm committed

Please help me answer this :)

Answers

Answer
A
Why?
He did not distribute 2/3 to the x

Image attached below. Please help.

Answers

Answer:

B. (-infinity, 1)

Step-by-step explanation:

Remember that domain is left to right, and range is down to up.

Question asks to find where the domain is increasing

Increasing means when the line increases

look left, the line extends infinitely in the negative direction: -infinity

There is a discontinuity at 1, and then the line decreases. So that would be the second point

The interval at which the domain is increasing is

Write the number in two other forms.
0.489

Answers

Answer:

48.9%, and 489/1000

Step-by-step explanation:

It is currently written as a decimal. To convert to a percent, simply move the decimal place over to the right by 2 places. For the fraction, calculate the place value of the last digit, which in this case, is the thousandths. So, the fraction would be 489/1000

Which system of equations is equivalent to the following system?
4x + y = 4
2x + 7y = 28

Answers

Answer:

the third one

-28x-7y=-28

2x+7y=28

Step-by-step explanation:

for the first one, the 2x+7y=28 is being multiplied by -1, but its not being distributed correctly (28 is incorrect, it should be -28)

for the second one, the 2x+7y=28 is being multiplied by -4, but again, is not being distributed correctly (112 is incorrect, it should be -112)

for the fourth one, 4x+y=4 is being multiplied by -2, but its not being distributed correctly (8 is incorrect, it should be -8)

The system of equations equivalent to the given system is -28x -7y = -28, 2x + 7y = 28, the correct option is C.

What is System of Equation?

The system of equation is set of equations which have a common solution.

The system of equation is,

4x +y = 4

2x +7y =28

The equations can be solved using Substitution method, elimination method and by plotting the graph.

In substitution method, the value of one variable from an equation is substituted in the other equation.

4x +y = 4

y = 4 - 4x

This will be substituted in the equation 2

2x + 7 (4-4x) = 28

2x +28 - 28x  = 28

-26x = 0

x = 0

Putting this value in equation 1 , y = 4.

In elimination method, one of the variable is eliminated to solve the system of equation.

To eliminate y, the equation 1 will be multiplied by -7,

-28x -7y = -28

2x + 7y = 28

This is equivalent to the original system of equation.

Adding the equations will yield

-26x = 0

x = 0

y = 4.

To know more about System of Equations

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Marsha gave the cashier $40 to pay for 3 pairs of socks and 1 shirt for 13.50. The cashier gave her $9.03 in change. Each pair of socks cost the same amount.

Answers

Answer:

5.82

Step-by-step explanation:

first I subtract 40 from 13.50 which gave me 26.50 . then i subtract 26.50 from 9.03 which gave me 17.47 then i divide 17.47 by 3 which gave me 5.8233333

What is the domain of the following relation: Is this relation a function? Why or
why not?
R: {(1, 2), (-3,5), (1, -2), (2, -3)}?

Answers

D={1,2,-3}
And it is not a function cuz two 1 x value has two picture in y value

Find a pattern, then select the next two terms of the sequence.

5, 1, 7, 0, 9, –1, 11, . . .

Answers

Answer:

-2 and 13

Step-by-step explanation:

the pattern here is annoying to find, but there is one. the first change is -4, then +6, then -7, then +9. The pattern starts at -4, then after that it increases by 2 and changes from a negative to a positive (and can change the other way). After that change it increases by one and changes from a positive to a negative. Essiently, the pattern is add 2 to the pattern and change the sign, then add 1 to the pattern after that and change the sign, infinitely repeating, with the two after 11 being -2 (gotten from +12 because you add 2 to -10 and change the sign) and 13 (gotten from -13 because you add 1 and change the sign of +12).

HELPP!!
if f(x)= 5x - 12 what is f(-4)

Answers

Answer:

-32

Step-by-step explanation

f(-4)= 5(-4) - 12

f(-4)= -20 -12

f(-4)= -32



Brian has a huge barn, 32 chickens, 12 pigs, 8 horses, 6 cows, 16 ducks, and 10
goat

Answers

Answer:

what's the question

Step-by-step explanation:

Answer: So he has 84 animals was there a question to this or is Brian flexing his barn?

Step-by-step explanation:

Please Help!!!!

∠A and ​∠B​ are vertical angles with m∠A=x and m∠B=4x−30.

What is m∠A?

Answers

Answer:

m<A=10

Step-by-step explanation:

I left the image below to show my work of how i got to that answer. I hope this helps!

We know vertical angles have same measure!

Thus!

A = B

=> X = 4X -30

=> 3X = 30

=> X = 10

Thus measure of angle A is 10°

Kenya has 2 hours to work a 100 problem math test at what rate must she work in order to finish in 2 hours A. 0.83 B. 1.23 C. 1.41 D. 1.35

Answers

Answer:

A 0.83

Step-by-step explanation:

2 Hrs = 120 Minutes

100 : 120 = 0.83 minutes per questions

Kenya must complete 0.83 questions per minute in order to finish the test in two hours.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Kenya has 2 hours to work on a 100 problem math test.

We know, 2 hours is equal to 120 minutes.

Therefore, The rate per minute at which she must complete one question in order to complete it in two hours is,

= (100/120).

= 0.83.

learn more about the unitary method here :

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f(x) = 4/5 x - 2

Find f(3)



Answer is a fraction ​

Answers

Answer:

2/5

Step-by-step explanation:

f(x) = 4/5 x - 2

Let x=3

f(3) = 4/5 *3 - 2

     =12/5 -2

    =12/5 -10/5

    = 2/5

The answer would be 2/5 it’s like your minusing 2 from 4 and keeping the 5 the dominator and then u would have 2/5

How many significant figures in 20340 ?

Answers

There are 4 significant figures in 20340.

There are 4. (2,0,3,4) the last 0 doesn’t count as a sig fig

Evaluate 3x-4 when x=7

Answers

Answer:

17

Step-by-step explanation:

We plag the var in first

3(7)-4

21-4

17

Answer:

17

Step-by-step explanation:

3(7) - 4

21 - 4

17

Hope this helps!

Suppose 27 gallons of water came out of a pipe in 9 minutes.what was the rate in gallons per minute

Answers

Answer:

Rate = 56 gal / 7 min

         = 8 gal / min

Step-by-step explanation:

Hope this helps pls leave a heart c:

The rate is 3 gal/ minute

Check off all factors of the given number 9,301​

Answers

Answer:

1, 71, 131, and 9301.

Step-by-step explanation:

What is the value of the following function when x = 0?
5
4
Q
NO
2
3
4
5
x
O y=-5
O y=-2
O y=-1
V=

Answers

Answer:

so I am not sure what fiction you are talking about but in order to solve you would substitute 0 in for x in the function. this would represent the y intercept.

How many ways are there to make change for $3? (Utilize all forms of US currency, such as Silver dollars, half dollars, quarters, nickels, & pennies.) Is there a specific formula to calculate this?

Answers

Answer:

300 pennies. 12 quarters. 6 half dollars. 3 silver dollars. 60 nickles. 30 dimes.

Step-by-step explanation:

Pennies have a value of .01 so we add that to equal 300. For three dollars we need 12 quarters. 300 divided by the value of the quarter which is .25 cents. We have six half dollars (we divide 300 by the value of the half dollar). We would need 3 silver dollars since each is worth a dollar each. We would need 30 dimes (300 divided by 10).  Finally, we would need 60 nickels (300/5 = 60).

I hope this helps. Feel free to ask any questions.

PLEASE HELP IN BEING TIMED

Answers

Answer:

2 teams of 10

4 teams of 5

5 teams of 4

10 teams of 2

Hope this helps!

Answer:

A. 2 teams of 10

c. 4 tearms of 5

d. 5 teams of 4

F. 10 teams of 2

Step-by-step explanation:

Jake goes to the vampire School every 4 days and Werewolf School every 6 days. If he goes to both on October 3rd, on what date will he go to both again?

Answers

Answer:

October 15

Step-by-step explanation:

The LCM of 4 and 6 is 12. 12 days later is october 15.

What is the image of (3, 6) when it is translated along the horizontal vector -2,0?

Answers

Answer:   (1,6)

The vector <-2,0> means we shift the input point two units to the left.

This is the same as writing the rule [tex](x,y) \to (x-2,y)[/tex]

Subtract 2 from the x coordinate. The y coordinate stays the same.

After the translation the point becomes P'(1, 6).

What is the difference between upward, downward, leftwards and rightwards translation?Upward translation : [k] units = When the upward translation take's place then, each point will have its y - coordinate shifted upwards by +k units.Downward translation : [k] units = When the downward translation will take place then, each point will have its y - coordinate shifted downwards by -k units.Leftward Translation : [k] units = When the leftward translation will take place then, each point will have its x - coordinate shifted by -k units to the left.Rightward Translation : [k] units = When the rightward translation will take place then, each point will have its x - coordinate shifted by +k units to the right

Given is a coordinate point (3, 6).

The horizontal vector is given by -

A = - 2i + 0j + 0k

A = - 2j

When the point is translated along the vector, then, we can write -

P(3, 6) → P'(3 - 2, 6) → P'(1, 6)

P'(1, 6)

Therefore, after the translation the point becomes P'(1, 6).

To solve more questions on Graph translations, visit the link below -

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Is PQRST a scaled copy of ABCDE

Answers

Answer: no

Step-by-step explanation:

The linear parent function is f(x)=

Answers

Answer:

let's see...

Step-by-step explanation:

The linear parent function is :

[tex]f(x) = a \: x + b[/tex]

Where a is the slope of the line and b is the width of the origin.

Answer:

f(x) = x

Step-by-step explanation:

Write a sentence about anything you want using the ratio 4: 2. (Hint Start with the words "For every")

Answers

Answer:

For every four cookies, there are two glasses of milk.

OR

For every four scoops of ice cream, there are two plates.

Step-by-step explanation:

Anything works really, just make sure it make sense.

Hope this helps :-)

grandpa has some cows and ducks in his farm. all in all there are 8 heads and 26 legs, how many cows and ducks are in there? solve this using factoring, finding multiples and divisibility rules

Answers

Answer:

5 cows  and 3 ducks

okay well there are 8 heads and each animal has a head meaning that there are a total of 8 organisms in total. Cows have 4 legs and ducks have 2. Lets say that c is cows and d is ducks. You would have the equations ...

c+d=8

4c+2d=26  

well d techniacally = 8-c, so plug in (8-c) for the value of d

4c+2(8-c)=26.      Distribute to get

4c+16-2c

and then add like terms. Soy ou would get

2c+16=26.

then just isolate the variable but subtracting 16 from both sides and dividing 2 on both sides. The answer you would get is that c=5 so there are 5 cows. Plug in 5 for c so you get 5+d=8 and tadaaaa you subtract 5 from both sides to get that there are 3 ducks.

hope this helps :)

Help please ASAP will mark brainliest!!!!

Answers

Answer:

43

Step-by-step explanation:

You purchase a burrito for $8.39 and a juice for $2.25. You pay for both items with a $10 bill and a $5 bill. Complete a verbal model for the problem. Then find how much change you receive.

Answers

Answer:

You will get $4.36 back.

Step-by-step explanation:

You have to total the cost of the food and drink.

8.39 + 2.25 = 10.64

You give your total money to the cashier to pay for your goods.

10 + 5 = 15

The cashier will give you the refund or change back.

15 - 10.64 = 4.36

Give five elements of the following sets.
A = {different land forms}
B = {x/x is a prime number greater than 20 but less than 50}
C = {even number less than 20}
D = {fraction less than 1}
E = {noun that starts with letter "a"}​

Answers

Answer:

Find the answer below.

Step-by-step explanation:

1. A = {mountain, valley, plateau, plains and hills}

A landform refers to a geomorphic or natural feature of the Earth's surface, which typically makes its terrain.

2. B = {23, 29, 31, 37 and 41}

A prime number can be defined as any number that is greater than one (1) and can only be divided by itself or one (1). In this case, they are greater than 20 but less than 50.

3. C = {2, 4, 8, 10 and 12}

An even number can be defined as any number that can be divided by two (2) without any remainder. In this instance, they should be between one (1) and twenty (20).

4. D = {2/3, 1/2, 3/4, and 1/5}

A fraction that is less than one (1) refers to a proper fraction. Therefore, proper fractions must have the value of their numerator to be less than the value of their denominator.

5. E = {ant, angel, angle, anaconda, and ark}

A noun can be defined as the name of any place, people, animal or things. In this context, the nouns should all start with the letter "a."
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