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
Eddi Din [679]
3 years ago
9

The fraction of men in a population who are married is 2/3. The fraction of women in the population who are married is 3/5. What

fraction of the population is single?
plz show work!!
Mathematics
1 answer:
ANEK [815]3 years ago
7 0

Answer:

  7/19 of the population is single

Step-by-step explanation:

First of all, we must make some assumption about the number of married men versus the number of married women. Here, we will assume they are the same number. (Either men are married to women, or the number of gay male marriages is the same as the number of gay female mariages, or both.)

Let m and w represent the numbers of men and women in the population. Then our assumption (above) tells us ...

  2/3m = 3/5w

Multiplying by 5/3, we get

  w = 10/9m

So, the fraction of the population that is single is ...

  (unmarried men + unmarried women)/(men + women)

  ((1 -2/3)m + (1 -3/5)w) / (m + w)

  = (1/3m + 2/5(10/9m) / (m + 10/9m)

  = (3/9 + 4/9) / (19/9) . . . . . let m cancel, simplify fractions a bit

  = 7/19 . . . . fraction that is single

You might be interested in
Which fraction is equivalent to negative 5 over 9?
Sergeeva-Olga [200]

Hello,

5/9 ≠ (-5/9)

Bye :)

6 0
3 years ago
Read 2 more answers
What is the solution of (2/x-1)>(7/x+1)
Rudiy27
(2 / x-1)> (7 / x + 1)
 For this case we can solve the problem graphically.
 The solution will be the shaded region.
 Note: see attached image.
 Answer:
 The solution is given by:1 <x <9/5

8 0
4 years ago
Read 2 more answers
Which number line represents the solution set for the inequality 3(8-4x) &lt; 6(x - 5)?
STatiana [176]

Answer:

x>3

Step-by-step explanation:

We are given with the inequation 3(8-4x) < 6(x - 5)

Dividing both sides in the above in equation by 3 we get

(8-4x)<2(x-5)

Distributing 2 over (x-5)

(8-4x)<2x-10

8-4x<2x-10

adding 10 and 4x on both hand sides we get

8+10<2x+4x

18<6x

Dividing both sides by 6 we get

3<x

Hence the solution to the given in equation is x>3

7 0
3 years ago
Which of the following represents the factorization of the binomial below?
noname [10]
The answer is D.

Plz mark me as brainliest? Hope it helps!
7 0
3 years ago
1/3(y - 2) -5/6 (y + 1) =3/4 (y - 3) - 2
Nataly [62]

Answer:

y=\frac{11}{5}

Step-by-step explanation:

Given expression

\frac{1}{3}(y-2)-\frac{5}{6}(y+1)=\frac{3}{4}(y-3)-2

To solve for y for the given expression.

Solution:

We multiply each term with the least common multiple of the denominators of the fraction in order to remove fractions.

The multiples of the denominators are:

3 = 3,6,9,<u>12</u>,15

6 = 6,<u>12</u>

4 = 4,8,<u>12</u>

The least common multiple = 12.

Multiplying each term with 12.

12.\frac{1}{3}(y-2)-12.\frac{5}{6}(y+1)=12.\frac{3}{4}(y-3)-2(12)

4(y-2)-10(y+1)=9(y-3)-24

Using distribution.

4y-8-10y-10=9y-27-24

Simplifying.

-6y-18=9y-51

Adding 6y both sides.

-6y+6y-18=9y+6y-51

-18=15y-51

Adding 51 both sides.

-18+51=15y-51+51

33=15y

Dividing both sides by 15.

\frac{33}{15}=\frac{15y}{15}

\frac{33}{15}=y

Simplifying fractions.

\frac{11}{5}=y

∴ y=\frac{11}{5}  (Answer)

7 0
3 years ago
Other questions:
  • How to simplify 3×m×m??
    13·2 answers
  • Write the equation for the following relation. Include all of your work in your final answer. Submit your solution.
    6·1 answer
  • Whats the difference of 89,24&amp;17
    15·1 answer
  • NEED HELP ASAP ROCKY!!
    10·1 answer
  • A ladder is placed 8 feet away from the base of a tree. If the ladder forms a 57° angle
    11·1 answer
  • 5x+2y = 19<br> 1x + 4y=13
    15·2 answers
  • Is the following number rational or irrational? <br> - 13/12<br> A: rational <br> B: irrational
    12·2 answers
  • -7= z/-6 what does z equal
    11·1 answer
  • Please help with q6 !!
    15·1 answer
  • . Mrs. Rojas deposited $8000 into an account paying 4% interest annually. After 8 months Mrs. Rojas withdrew the $6000 plus inte
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!