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
EastWind [94]
3 years ago
15

Find the greatest rational number r such that the ratios 8/15 ÷r and 18/35 ÷r are whole numbers.

Mathematics
1 answer:
Akimi4 [234]3 years ago
5 0

Answer:

  2/105

Step-by-step explanation:

"r" is the greatest common divisor (GCD) of the two fractions. It can be found using Euclid's algorithm in the usual way.

  (8/15) - (18/35) = 56/105 - 54/105 = 2/105 . . . . . this is (8/15) mod (18/35)

We can see that the next step, division of 54/105 by 2/105, will produce a remainder of 0, so the GCD is 2/105.

The greatest rational number r is 2/105.

_____

<em>Check</em>

The ratios are (8/15)/(2/105) = 28; (18/35)/(2/105) = 27. These whole numbers are relatively prime, so there is no larger r than the one we found.

You might be interested in
Answer quick before I fail :)
insens350 [35]

I’m not 100% sure but I think it’s 14/49

5 0
2 years ago
Read 2 more answers
Factor completely: 4x2 + 25x + 6
IceJOKER [234]
(x + 6)(4x + 1) 
x times 4x = 4x^2 
x times 1 = x 
6 times 4x = 24x 
6 times 1 = 6 
<span>And finally, by adding like terms, 4x^2 + 25x + 6 

I hope this helps you! Good luck :)</span>
7 0
3 years ago
If (x+2,5)=(3y+2)find x and y​
kozerog [31]

Answer:

X = 7

Step-by-step explanation:

because of you do 5+2 = 7 then you minus 3 which you get 4.

the. if you have a production of around 10 you will get 7.

or you can do.

3+2 which is 5 and then you multiply that by 2 which is 10 and then you comprised that number therefore you will get 6 but you have to find X so we youndelie (think that's how u spell it) X which will equal to 1 and 6+1 is 7. once you get it it's quite simple

4 0
3 years ago
Yuson must complete 45 hours of community service. She does 3 hours each day. Which linear equation represents the hours Yuson h
alukav5142 [94]

Answer:

y=45-3x, where x=# of days, y=number of hours left, and 45=total # of hours.

Step-by-step explanation:

hours left= total - hours/day

we want y, so:

y=45-3x is the right answer

5 0
3 years ago
Suppose an architect has a drawing of a project he is building. The drawing is 8 wide long by 10 inches long. The finished struc
SIZIF [17.4K]
It is 8 times larger, 8x8=64 and 8x10=80 which is the current length and width of the finished structure
5 0
3 years ago
Read 2 more answers
Other questions:
  • Please help on this math problem pls
    8·2 answers
  • Scott's gross pay is $2344. How much of his gross pay will be deducted for the Social Security Tax?
    15·2 answers
  • The function for the cost of materials to make a hat is f(x) = one half x + 1, where x is the number of hats. The function for t
    12·1 answer
  • Determine the quadrant(s) in which (x, y) could be located. (Select all that apply.) x &gt; 0 and y &lt; 0 Quadrant I Quadrant I
    8·1 answer
  • Find the inverse of the given relation.
    14·1 answer
  • Help I will give brainliest if u help !!!!!
    12·1 answer
  • WILL GIVE BRAINLIEST!!!!!!!!
    9·1 answer
  • PLEASE HELP!! can someone please explain what i did wrong?
    5·1 answer
  • Tom bought a banner for
    13·2 answers
  • If 2/3x − 1 = 4, then x=
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!