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
ivolga24 [154]
3 years ago
10

the ratio of the number of men to the number of women on a bus was 2:3 at a bus stop. 4 women got off and the ratio became 4:5.

1 How many men were on the bus? b. How many women were on the bus in the end?
Mathematics
1 answer:
Karolina [17]3 years ago
6 0

Answer:

At the beginning

16 men and 24 women

In the end

16 men and 20 women

Step-by-step explanation:

Call x the number of men on the bus and call y the number of women on the bus.

We know that the initial ratio between men and women is 2: 3

And the final ratio is 4: 5

So

\frac{x}{y}=\frac{2}{3}\\\\y = \frac{3}{2}x   (1)

After the 4 women are down, the proportion is:

\frac{x}{y-4}=\frac{4}{5}\\\\y-4 = \frac{5}{4}x\\\\y= \frac{5}{4}x +4   (2)

Substitute the value of y in the first equation and solve for x

\frac{5}{4}x +4=\frac{3}{2}x\\\\-\frac{1}{4}x=-4\\\\x=16\ men

Now solve for y.

y = \frac{3}{2}(16)\\\\y=24\ women

Then at the end there were

y = 24-4 = 20 women

You might be interested in
Complete the following.Write the answers in your journal
AleksAgata [21]

Answer:

1.FILTER WATER 2.FILTER CLOTH

3.LIQUIDS

4.INSOLUBLE

5.DIFFERENCE

6 0
2 years ago
Find the final cost of an item that was originally price at $245 with a 15% discount and a 6% tax. Please help this is My last q
Soloha48 [4]

Answer:

12

Step-by-step explanation:

8 0
3 years ago
Evaluate the radical.
zaharov [31]
5*5*5=125
5²*5=125
5√5 is your answer
4 0
3 years ago
Read 2 more answers
Given the function f(x) = 2x+4 and the domain: {-1,0,1},determine the range
Svetlanka [38]

Answer:

f(x) = 2x + 4 domains {-1, 0, 1}

range {2, 4, 6}

(please mark brain if this helps and is correct)

Step-by-step explanation:

to solve f(x) to find the range you would want to input all the domain numbers in the equation f(x) to get the range of all the numbers you need

step 1: take the first domain number and input it into your equation where x is

ex: 2x + 4   [2(-1) + 4] = -2 + 4 = 2

step 2: add the second domain number and input it into your equation where x is

ex: 2x + 4   [2(0) + 4] = 0 + 4 = 4

step 3: add the last domain number and input it into your equation where x is

ex: 2x + 4   [2(1) + 4] = 2 + 4 = 6

Now we have determined what the range is

6 0
3 years ago
Please help! I’ll give BRAINLIEST and show ur work please
Darina [25.2K]

Answer:

M<E=T M<T=E

Step-by-step explanation:

As you can see in the trapezoid the show you only one two sides that are equals so that's mean that the angles are congruent each other.  

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the slope and y-intercept for the line represented by this equation? -3x+8y= -24
    8·2 answers
  • What is the answer 6²÷2(3) +4
    12·1 answer
  • (Picture) MULTIPLYING POLYNOMIALS AND SIMPLIFYING EXPRESSIONS PLEASE HELP!!!!
    15·1 answer
  • The coefficient of determination is mathematically equivalent to the correlation coefficient omega-squared eta-squared both omeg
    11·1 answer
  • Find the value of the power. Please do all four questions for 15 pts #1 6³ #2 9² #3 3⁴ #4 18²
    13·1 answer
  • 500mm x 600mm how many 25cm fit inside
    11·1 answer
  • Two jets leave an airport at the same time, flying in opposite directions. The first jet is traveling at three hundred seventy-s
    8·1 answer
  • -30=-2(-n + 3)<br><br> Only number not variable
    14·2 answers
  • Find the mode of these sets of numbers 2, 5, 8, 0, 5
    9·2 answers
  • Please help on this question!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!