The LCM of three numbers is 7920 and their GCD is 12. Two of the numbers are 48 and 264. Using factor notation find the third number if one of its factors is 9.

Answers

Answer 1

Answer:

The third number is 180.

Step-by-step explanation:

Let the third number be 9x where x is an integer.

48 = 2*2*2*2*3

264 = 2*2*2*3*11

9x = 3*3*x

2*2*2*2*3*3*11*x = 7920y where y is an integer

1584x = 7920y

so x = 7920y / 1584= 5y.

Now the GCD is 12  so x must have  4 as one of its factors.

Also x is a multiple of 5 so it could be 20 then y  would be 4.

If x = 20 then the third number is 9*20 = 180.

This checks out OK.


Related Questions

Help me with this question please

Answers

Answer:

x < 6

Step-by-step explanation:

There is an open circle ( no equals) at 6   and the line goes to the left

This means that it is less than 6

x < 6

If x and y are positive real numbers, which expression is equivalent to the expression below?
(49x^2y)^1/2(27x^6y^3/2)^1/3


A.) 21x/^3y
B.) 10x^2y
C.) 10x^3y
D.) 21x^3y^2

Answers

The answer is A.) 21x/^3y

Here is proof

if ten coins are spun together, the probability of four or more heads is 0.83. the probability of eight or more is 0.05. find the probability of:
I) less than four. II)fewer than 8

Answers

Answer:

a. 0.17

b. 0.95

Step-by-step explanation:

The key to answering both questions is that we should understand that the probability of an event happening = 1 - the probability of the event not happening

Firstly, we want to calculate the probability of less than four

Probability of less than four = 1 - probability of four or more heads

that is 1 - 0.83 = 0.17

Probability of less than 8 = 1 - probability of 8 or more = 1-0.05 = 0.95

Need help thanks :) The question is down below

Answers

Answer:

n=63

x=117

r=63

p=117

w=117

m=117

k=117

Step-by-step explanation:

If you start with the given angle of 63 p would  have to be 117 because 180-63 is 117. This would make r 63 because you would use the 117+63 to make a 180 degree angle. w will then be made 117 because it's vertical to p and vertical angles are congruent. we can find x by using corresponding angles. x= k because they are corresponding angles as well. n would be 63 because of k being 117 and because of vertical angles m is 117.

Hope this helps :)

Here you go

k, m, p, w, x are all = 117 degrees

n, and r are both = 63 degrees

Because of angle laws, where opposite angles are equal to eachother, and alternate angles are equal to eachother and co-interior angles add up to 180 degrees; sorry, I would attach a photo but it is not allowing me to... keeps on saying, “Sorry, something went wrong.”

Hope this helps.

18. QS bisects ZPQR. If mZPQS = 3x and
mZROS = 2x + 6, then mZPQR =
?
A. 18°
B. 36°
C. 30°
D. 6°

Answers

the answer is b because

Convert the following time to 24-hour clock time.
1) 7:25 p.m
2) 9:10 a.m
Convert the following time to 12 hour clock.
1) 0010 hours
2) 1800 hours

Answers

Answer:

1925, 091012:10 a.m., 6:00 p.m.

Step-by-step explanation:

24-hour time has 12 hours added for p.m. The time is written as HHMM, a 4-digit number of "hours." (The two right-most digits are minutes.)

1) 7:25 p.m.   ⇒   1925 hours

2) 9:10 a.m.   ⇒   0910 hours

__

12-hour time starts at midnight, 12:00 a.m. That corresponds to 0000 hours in 24-hour time. Anything beyond 1200 hours is afternoon, p.m.

1) 0010 hours   ⇒   12:10 a.m.

2) 1800 hours   ⇒   6:00 p.m.

Which are linear pairs? Check all that apply.
A. ∠DAE and ∠EAD
B. ∠BAC and ∠CAD
C. ∠BAE and ∠EAD
D. ∠EAD and ∠DAC
E. ∠CAE and ∠BAD

Answers

Answer:

Options B, C and D

Step-by-step explanation:

Linear pair of angles means sum of the angles of the pair is 180° which are formed at a point of a line.

In other words, pair of supplementary angles is the linear pair.

From the figure attached,

Pair of the linear angles are,

1). ∠BAC and ∠CAD

2). ∠BAE and ∠EAD

3). ∠EAD and ∠DAC

Therefore, Options B, C and D are correct.

Answer:

B, C, and D

Step-by-step explanation:

If the diameter of a circle is 7 inches,
which is closest to the circumference?
F 21.98 in.
G 38.47 in.
H 43.96 in.
J 153.86 in.

Answers

Answer: 21.98 inches

Work Shown:

Circumference = pi*diameter

Circumference = 3.14*7

Circumference = 21.98 inches approximately

This is approximate since pi = 3.14 is approximate.

A car drives at a speed of 90 km/h for 2 hours and 20 minutes.
How far does the car drive?

Answers

Answer:

210 KM

Step-by-step explanation:

first 20minutes is 1/3 of an hour

20/60=1/3 hour

how far does the car drive =time *speed

=2 1/3 hour *90= 210 km

i wiil be happy if you mark me as brainliest

work out the area of this circle when its the diameter 9m take pie to be 3.142 and give your answer to 2 decimal places.

Answers

3.142*4.5²=63.6255

Answer=63.63

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment..

Please help !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:15

Step-by-step explanation:

its obvious lol simple maths

it is 15. simple math you can plug it in:))

Mark asked each student in a class to name their favourite colour. For this class, the number of students who said blue is three times the number of students who said green. Write down the ratio of the number of students who said blue to the number of students who said green.

Answers

Answer:

3:1

Step-by-step explanation:

Since there are 3 times more blue favorite kids, the ratio is

3:1

The ratio of the number of students who said blue to the number of students who said green is 3 : 1.

What is ratio?

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

Mark asked each student in a class to name their favorite color.

For this class,

the number of students who said blue is three times the number of students who said green.

Let n be the number of students who said green.

Then, 3n, the number of students who said blue.

The ratio of the number of students who said blue to the number of students who said green.

= 3n/ n

= 3/1

= 3: 1.

Therefore, the ratio is 3 : 1.

To learn more about the ratio;

https://brainly.com/question/13419413

#SPJ2

can someone answer number 11 and show the work? I need it bad, please .

Answers

Answer: 8

Evaluating the function for x = -1

[tex]f(x)=x^2+7\\f(-1)= (-1)^2+7\\f(-1)=8[/tex]

Help me please please

Answers

Answer:

  1/2 = 2^-1 = 1/2

Step-by-step explanation:

The picture shows you that you find the number at 11:00 a.m. by dividing 1 by 2. That division is represented as ...

  [tex]1\div2=\boxed{\dfrac{1}{2}}=\boxed{2^{-1}}=\boxed{1/2}[/tex]

__

Additional comment

It is somewhat difficult to tell exactly what "expanded form" is required for the fraction. We have taken a clue from the form used for positive exponents where the multiplication by 2 is shown. So, for negative exponents, we have shown the division by 2.

The 10 a.m. form might then be 1/4 = 2^-2 = 1/2/2.

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

-8

Step-by-step explanation:

f(1) = -2

g(4)= 6

-8 *(-2) -4 * 6 = 16 -24 = -8

The set of ordered pairs (–1, 8), (0, 3), (1, –2), and (2, –7) represent a function. What is the range of the function?

Answers

Answer:

{y: y = –7, –2, 3, 8}

Step-by-step explanation:

You find the lowest y number and the highest y number and that’s your range

12(3x)=12 what does x equal

Answers

Answer:

x=0.333

Step-by-step explanation:

12(3x)=12

36x=12

/36 on both sides

x=0.333

PLS HELP ME WITH THIS

Answers

Answer:

so the answer is the second one. Hope this working helps

I need which other form can you represent the number 2 1/3

Answers

You can make the number an improper fraction.

To keep the same denominator, multiple the number two by three.
You should get the number 6.
Once you have this number, add it to the remaining 1/3.

It should look like this:
7/3

Answer:

You can also represent it as  [tex]\sqrt[3]{2}[/tex]

Step-by-step explanation:

[tex](\sqrt[3]{2})^{3} =2\\2^{\frac{1}{3} } =2[/tex]

What is the inverse of the function f(x) = 4x + 8

Answers

Answer:

let f(x)= y

y = 4x+8

x= 4y + 8

4y = x - 8

y = (x - 8)/4

Hope this helps.

Answer:

x/4 - 2 = y

Step-by-step explanation:

soo switch x and f(x)

x=4y+8

then bring it back to like how it was before

x-8=4y

then

(x-8)/4=y

then simplify

x/4 - 8/4 = y

which can then be simplified to

x/4 - 2 = y

Please if you know this please help me I’m stuck I don’t know

Answers

Answer:

The vertical angles theorem

Step-by-step explanation:

The Vertical Angles Theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent.

Angles ∠JKN and ∠MKL fit the criteria of the vertical angles theorem, meaning they are congruent.

What is the diameter of the smallest circle that would enclose 2,000 pennies?

Answers

Answer:

Almost about 4500 mm

Step-by-step explanation:

Measure the pennies width and estimate. Multilpy by 2000 and there you go!

. (10 points) Based on pre-trial speculation, the probability that a jury returns a guilty verdict in a certain high-profile murder case is thought to be 15% if the defense can discredit the police department, and 80% if they cannot. Veteran court observers believe that the skilled defense attorneys have a 70% chance of convincing the jury that the police either contaminated or planted some evidence. What is the probabiliy that the jury returns a guilty verdict?

Answers

Answer:

34.5% probability that the jury returns a guilty verdict

Step-by-step explanation:

We have these following probabilities:

If the police can discredit the police department, 15% probability of a guilty verdict.

70% probability of the police department being discredited by the defense.

If the police can discredit the police department, 80% probability of a guilty verdict.

100 - 70 = 30% probability of the defense not discrediting the police.

What is the probability that the jury returns a guilty verdict?

15% of 70% and 80% of 30%. So

p = 0.15*0.7 + 0.8*0.3 = 0.345

34.5% probability that the jury returns a guilty verdict

Complete the recursive formula of the geometric sequence-0.56,-5.6,-56,-560

Answers

-5600
A geometric sequences is when the previous term is used to find the next. In this case you multiply 10 to the previous term to find the next giving u -5600

The full recursive formula can be defined by these two parts

[tex]\begin{cases}a_1 = -0.56\\ a_n = 10*a_{n-1}\end{cases}[/tex]

The top part tells us the first term is -0.56, while the second part says to get each new term we multiply the prior term by 10

second term = 10*(first term) = 10*(-0.56) = -5.6

third term = 10*(second term) = 10*(-5.6) = -56

etc etc

21. A quantity of food would last a
family of 5 for 21 days. How long
would the same quantity last a
family of 7 if thev all eat at the same
rate?​

Answers

Answer:

15 days

Step-by-step explanation:

5 x 21 = 105

105/7 = 15

Answer:

15 days

Step-by-step explanation:

As the number of people in that family increases the time taken reduces, so the time is in inverse proportion to the number of people in that family.

Let the number of days taken by a family of 7 to finish a quantity of food be x.

⇒ [tex]\frac{x}{21}[/tex] = [tex]\frac{1}{\frac{7}{5} }[/tex]

⇒ [tex]\frac{x}{21}[/tex] = [tex]\frac{5}{7}[/tex]

⇒ x = [tex]\frac{21 * 5}{7}[/tex]

x = 15

∴ It would take a family of 7 15 days to finish a quantity of food.

Hope this helps!!!

19. A bakery sold three kinds of muffins on Monday. The ratio of cranberry to blueberry muffins sold was 2/3 . The ratio of blueberry to cinnamon muffins sold was 1. If 60 blueberry muffins were sold on Monday, how 4/1 many more cranberry muffins than cinnamon muffins did the bakery sell? *

Answers

Answer:

25

Step-by-step explanation:

The ratio of cranberry to blueberry muffins sold was 2/3.

This means that for every 3 blueberry muffins, 2 cranberry muffins were sold.

The ratio of blueberry to cinnamon muffins sold was 4/1.

This means that for every cinnamon muffin, 4 blueberry muffins were sold.

In other words, the ratio of cinnamon muffins to blueberry was 1/4.

60 blueberry muffins were sold on Monday.

This means that the number of cranberry muffins sold was:

2/3 * 60 = 40 cranberry muffins

This also means that the number of cinnamon muffins sold was:

1/4 * 60 = 15 cinnamon muffins

To find how many more cranberry muffins were sold than cinnamon muffins:

40 - 15 = 25 muffins

25 more cranberry muffins were sold.

Answer:

25

Step-by-step explanation:

the area of a right angled triangle is 600cm^.if base of the base of the exceeds the altitude by 10,find the dimensions of the triangle


Answers

Answer:

b => base  => 40 cm

h => altitude => 30 cm

A = h*b/2

h=b-10

600=(b-10)b/2

600 = (b^2-10b)/2

1200=b^2-10b

b^2-10b-1200=0

(b-40)(b+30)=0

b=40 cm

h=b-10 = 40-10=30

the volume of a cylindrical container is 1500 cm cube if the base area of the container is 120 cm cube what is the height of the container​

Answers

Answer:

12.5cm

Step-by-step explanation:

The height is found in the following way:

Volume divided by Area of Cross section.

So,

1500 divided by 120 = 12.5 cm

What is the value of y when x = 6?

-3x + 9y = 18

Answers

Answer:

y = 6

Step-by-step explanation:

-3x + 9y = 18

-3(6) +6y = 18

-18 +6y = 18

Add 18 to each side

-18+18 +6y =18+18

6y = 36

Divide each side by 6

6y/6 = 36/6

y = 6

Which situation is best modeled with a division expression?

finding the number of equal-sized parts into which a number can be split
finding the combined value of several different numbers
finding the distance between two numbers on a number line
finding the total value when several of the same number are grouped together

Answers

Answer: Finding the number of equal-sized parts into which a number can be split

Step-by-step explanation:

Hi, a division expression is the division of 2 numbers that results in a quotient.

The quotient is the number of times that the second number in the division is contained in the first number.

For example 20 ÷ 2 = 10

Number 2 is contained 10 times in the number 10, or in other words, 20 can be split into ten equal-sized parts.

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

Answer:

A

Step-by-step explanation:

for edge

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