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
PLEASE HELP ME :(<br> God bless.
Dmitriy789 [7]

Answer:

x - 99 ≤ -104 → 2nd line

x - 51 ≤ -43 → 1st line

150 + x ≤ 144 → 4th line

75 < 69 - x → 3rd line

Step-by-step explanation:

Ugh! Wow, this is going to be tedious, thanks alot, bro (jk, I got your back).

x - 99 ≤ -104

 + 99   + 99

x ≤ -5

There should be a line going from -5 to negative infinity (AKA the left) with a FILLED circle. So, the second one is correct.

x - 51 ≤ -43

 + 51   + 51

x ≤ 8

There should be an arrow with a FILLED circle going to negative infinity (AKA the left). So, the first one is correct.

I'm going to take a shortcut and notice that one of the lines has a filled circle while the other one has an empty circle. So the empty circle must relate to the question without a ≤ or ≥, but with a < or >. We see that 75 < 69 doesn't have ≤ or ≥ but a '<.' So this one must have the empty circle, which is on line 3. The last equation has to be on line 4.

3 0
3 years ago
What is the slope of this line A -1/2 B 1/2 C 2​
denpristay [2]
-1/2 is your answer to this question
4 0
2 years ago
What is the number quotient and remainder for 6 / 27
inysia [295]
0 remainder of 6

Hope this helps
7 0
3 years ago
Read 2 more answers
Find the common ratio r for the geometric sequence and use r to find the next three terms. Enter your answer to four decimal pla
kirza4 [7]

Answer:

the common ration is -0.4. Three terms: 2.56,-1.024, and 0.4096
Step-by-step explanation:

You just keep on multypling the terms by -0.5 ,and you get.

7 0
2 years ago
What is the sum of the first five terms of a geometric series with A1 equals 20 and R equals 1/4
sweet-ann [11.9K]
Sum = 20(1-(1/4)^5) / (1-1/4) = 26.64
6 0
3 years ago
Other questions:
  • Christian plays outside for 4/5 hour. For 1/2 of that time, he plays basketball. What fraction of an hour did he play basketball
    11·1 answer
  • Shania is making a scale diagram of the badminton court at the community center. She uses a scale of 1 centimeter to 0.5 meter t
    5·1 answer
  • Please help me because I don't understand how to do it.:)
    13·1 answer
  • Answers to numbers 2 and 3
    8·1 answer
  • student tickets for a football game cost $2 each. adult tickets cost $4 each. ticket sales at last week's game totaled $2800. wr
    6·1 answer
  • HELP ME WITH THE EXERCISES PLEAASE
    7·1 answer
  • Find the surface area of a cone with slant height of 9 inches and a radius of 3 inches. ANSWERS: 117 in2 81 in2 109 in2 113 in2
    15·1 answer
  • Simplify the expressions by combining like terms<br><br> 1/2h + 2h + 3/2h - 1
    10·2 answers
  • What is the height of the prism?
    5·2 answers
  • What is 80% of 230? ​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!