1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
masha68 [24]
3 years ago
9

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 nu

mber if one of its factors is 9.
Mathematics
1 answer:
svlad2 [7]3 years ago
4 0

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.

You might be interested in
Which of the following choices is closest to the distance (in miles) between points A and B? (5 points)
pshichka [43]

Answer:

i think it's B 3.46

Step-by-step explanation:

hope this helps

5 0
3 years ago
A farmer sees 56 of his cows out of the barn. He knows that he has 83 cows altogether. Let c represent the number of cows still
irinina [24]

No, the number of cows in the barn is 27. You can get this number by subtracting the 83 cows he has from the 56 that are out of the barn.

83 - 56 = 27

5 0
3 years ago
Read 2 more answers
Three angles are complementary. Two of the angles are equivalent. If the third angle is 10 degrees, what must be the measurement
kompoz [17]

if three angles are complementary, then they all ad up to 90 degrees. if the third angle is 10 degrees, then there are multiple answers for the other angles. one could be 35 degrees and 45 degrees.

5 0
3 years ago
Read 2 more answers
Which table could be used with Table A to verify that the function modeling Fahrenheit temperature, F(C), based on a given Celsi
AURORKA [14]

Answer:

A:

C -20 -15 -5

F(C)  -4 5 23

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Guys plz help me with this Question!!!!1
earnstyle [38]

Answer:

-3/1

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • a 12 inches by 12 inches by 12 inches container of water was placed in the freezer.Water expands 4% when it is frozen.What is th
    9·1 answer
  • It takes 78 days to create a custom motorcycle. Write an algebraic expression to describe the number of days it takes to create
    11·1 answer
  • Arrange to largest to smallest... 14.01, 140.1, 1.401, 14.1, 14.11
    14·2 answers
  • What is the measure ?
    14·1 answer
  • Point Q is the image of Q (-5,1) under a translation by 6 units to the right and 2 units down
    14·1 answer
  • A students cost for last semester at her community college was $2800. She spent $504 of that on books. What percent of last seme
    11·1 answer
  • Leanne, owner of The Candy Shoppe, wants to make 16-ounce gift bags with a mix of hard peppermint candies and chocolate mints. I
    8·1 answer
  • Please help me!!!!!!!!!!!
    15·1 answer
  • Hank is throwing a surprise party. The party costs $20 per person. Create an equation and graph to represent the relationship be
    15·1 answer
  • Maria counted the number of snowmen she saw each day what is the median number of the snowman 0 2 3 3 6 7 12
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!