c. The number of men in a community is 2,400. If the ratio of women to men in the community is 5:4,
find
i. The total number of people in the community.
ii. The number of women in the community.
iii. How many more women are there than men if 400 men joined the community.

Answers

Answer 1
i. 5,400
ii. 3,000
iii. 200
Answer 2
Total number of parts the population is divided into: 5+4=9.

We know that 2,400 relates to the 4 parts of the ratio, so one part is 2,400 : 4 = 600.

i) So, in total, there are 600 (measure for one part) * 9 (total number of parts) = 5400 people in the community

ii) There are 5 parts in the women’s community. So, total number of women: 5 * 600 = 3000

iii) There we’re originally 5400 - 3000 = 2400 men in the community. If 400 more join, there will be 2400+400 = 2800 men.

So, there are still 3000 women and now 2800 men, so the difference between these is 3000-2800= 200.

There are 200 more women than men if 400 men joined the community.

Hope that’s helpful :)

Related Questions

What is the difference?
Х
1
x?+3x+2 (x+ 2)(x+1)
(x+2)(x+1)
X-1
6x+4
-1
4x+2
1
X+ 2
x-1
x² + 3x+2
2

Answers

Step-by-step explanation:

your correct answer is the last one (x-1)/x²+3x+2.

the second equation lcm will be x²+3x+2 if you expand it .

hope this helps you.

The difference of the Expression is (x -1) / (x² + 3x + 2).

What is Expression?

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

We have,

x/ (x² + 3x + 2) - 1/ (x+ 2)(x+ 1)

Now, simplifying the expression as

x/ (x² + 3x + 2) - 1/ (x+ 2)(x+ 1)

= x/ (x² + 2x + x + 2) - 1/ (x+ 2)(x+ 1)

= x/ x(x+ 2) + (x+ 2) - 1/ (x+ 2)(x+ 1)

= x/ (x+2) (x+1) - 1/ (x+ 2)(x+ 1)

= (x-1) / (x+ 2)(x+ 1)

= (x -1) / (x² + 3x + 2)

Thus, the difference of the Expression is (x -1) / (x² + 3x + 2).

Learn more about Expression here:

brainly.com/question/14083225

#SPJ7

NEVER GOING TO GIVE YOU UP NEVER GOING TO LET YOU DOWN NEVER GOING TO RUN AROUND AND DESERT YOU NEVER GOING TO MAKE YOU CRY NEVER GOING TO TELL A LIE AND HURT YOU OOOOOOOO GIVE YOU UP OOOOOO NEVER GOINT TO GIVE NEVER GOING TO GIVE
[tex]3642164 \times 363.6466 = 666[/tex]
[tex] \infty [/tex]

Answers

Answer:

thank you!

Step-by-step explanation:

Solve the equation 3x2 +5=4x

Answers

Step-by-step explanation:

the roots are complex

the answer is in the image above

which rule explains why these triangles are congruent?
SAS
SSS
AAS
ASA
These triangles cannot be
proven congruent.

Answers

Possibly SAS.. ? Maybe…..

Express (x + 2)² + 9 = 0 in standard form

Answers

Formula = (a + b)^2 = a^2 + 2ab + b^2

x^2 + 4x + 4 + 9 = 0
x^2 + 4x + 13 = 0

Answer:

x^2+4x+13=0

Step-by-step explanation:

I'm 100% certain this is right. Have a good day/night wherever you are! :D

Jessie recently drove to visit her parents who live 570 miles away. On her way there her average speed was 25 miles per hour faster than on her way home (she ran into some bad weather). If Jessie spent a total of 19 hours driving, find the two rates (in mph). Round your answer to two decimal places, if needed.

Jessie's average speed to her parents' house: ___________ mph

Jessie's average speed from her parents' house: ___________ mph

Answers

Answer:

Step-by-step explanation:

Let v be her average speed from her parents house

Let t₁ be the time traveled to parents house

Let t₂ be the time traveled from parents house

t₁ + t₂ = 19

t₁ = 19 - t₂

as the distance does not change, we can equate two velocity•time statements

vt₂ = (v + 25)t₁

vt₂ = (v + 25)(19 - t₂)

vt₂ = 19v - vt₂ + 475 - 25t₂

2vt₂ = 19v + 475 - 25t₂

vt₂ = 570 and t₂ = 570/v

2(570) = 19v + 475 - 25(570/v)

1140 = 19v + 475 - 14,250/v

665 = 19v - 14,250/v

665v = 19v² - 14250

0 = 19v² - 665v - 14250

0 = v² - 35v - 750

quadratic formula

v = (35 ±√(35² - 4(1)(-750))) / 2

v = (35 ± 65) / 2

v = - 15 mph which we ignore as she did not spend hours driving backwards

or

v = 50 mph is average speed from parents house

v + 25 = 75 mph is average speed to parents house.

the trip to took 570/75 = 7.6 hrs

the trip from took 570/50 = 11.4 hrs.     total of 19 hrs.

PLEASE DO!! will give brainliest

Which statement correctly describes the end behavior of the function f(x) = x2 – 2x + 8?

Answers

Answer:

3

Step-by-step explanation:

in both f approaches +infinity

Which of the numbers below is greater than zero? Select all that apply.
A)0.8
B)4.5
C)14
D)−2.25
E)−0.5

Answers

your answer is B) 4.5 and C) 14

Guys please help out with this asap ! thanks

Answers

you’re gonna wanna round up both sides of your equation which will give u 224, then divide both by 16 which will leave u with 178

HELP! DUE SOON! X^2=6

Answers

Answer:

x² = 2

x = sqrt. of 6

x = (+-)2.449

Step-by-step explanation:

brainliest plz

Draw a Graph y=3/2x+2

Answers

The answer is in the graph.

Answer:in the picture

Step-by-step explanation:

please give me a brainliest answer

Urgent.. Please somebody help me with this it due by tomorrow

Answers

(3+x)/y . Since denominator is same, numerator simply gets added

According to the laws of physics, the weights of objects on the Earth are proportional to their weights on the Moon. A boy who weighs 66 lb on Earth weighs 10.92 lb on the Moon. How much will a man who weighs 185 lb on Earth weigh on the Moon? Round your answer to the nearest tenth.

Answers

A man who weighs 185 lb on Earth weighs 30.8 lb on the Moon

Two variables are said to be directly proportional if as one variable increases/decreases, the other variables does the same by the same amount.

Let y represent the weight of object on earth and x represent the weight of object on the moon.

y ∝ x

y = kx

When y = 66, x = 10.92, hence:

66 = 10.92k

k = 6

When y = 185 lb:

185 = 6x

x = 30.8 lb

A man who weighs 185 lb on Earth weighs 30.8 lb on the Moon

Find out more at: https://brainly.com/question/25225528

Answer:

30.8lb

Step-by-step explanation:

Charles has read 180 pages of a book. This is of the total number of pages in the book. If p represents the number of pages in the book, what is p?

Answers

Answer:

More than 180. It needs more info to have an actual answer.

Answer: I believe it would be 180 considering he has 180 pages in a book and you wanna know how many pages he has it would be 180 hoped this helped love ✨

Step-by-step explanation:

Solve for x. 5x = 60

Answers

Answer:

[tex]x = \frac{60}{5} = 12[/tex]

..........................................

Choose the scientific notation for 800.
O 8 x 10
O 8 x 102
O 8 x 103
O 8 x 100

Answers

Answer:

O [tex]8 * 10^2[/tex]

Step-by-step explanation:

Hope it helps

Peace out

^^ ^-^ :) ;) ~-~

A fruit basket has 16 apples and 6 bananas in it. What is the ratio of bananas to apples in the fruit basket?

Answers

i believe it is 6: but I dont know for sure

e. A set of observations has a mean of 9.0 and standard deviation 4.0. Another set of 20 observations has a mean of 10.0. Given the standard deviation of the combined set of 35 observations is 3.0, find the variance of the second set.

Answers

From the combined standard deviation, with the mean, and standard

deviation of the data sets, the required variance can be found.

[tex]\underline{\mathrm{The \ variance \ of \ the \ second \ set \ is} \ 4\dfrac{5}{28}}[/tex]

Reasons:

The given data information are;

Mean of the first set of observation, [tex]\overline x_1[/tex] = 9.0

Standard deviation of the the first set, σ₁ = 4.0

Sample size of second observation, n₂ = 20

Mean of second sample, [tex]\overline x_2[/tex] = 10

Standard deviation of the combined set, σ₁₂ = 3.0

Sample size of combined set of observation, n₂ = 35

Solution:

The number of elements in the second sample, n₁ = 35 - 20 = 15

The standard deviation of the combined set is given by the formula;

[tex]{\sigma_{12}} = \mathbf{\sqrt{\dfrac{n_1 \cdot \left ( \sigma^2_{1}-d_1^2 \right ) + n_2 \cdot \left ( \sigma^2_{2}-d_2^2 \right )}{n_{1}+n_{2}}}}[/tex]

Where;

[tex]\overline x_{12} =\mathbf{\dfrac{n_1 \cdot \overline x_1 +n_2 \cdot \overline x_2 }{n_1 + n_2}}[/tex]

Therefore;

[tex]\overline x_{12} =\dfrac{15 \times 9.0 +20 \times10.0 }{15 + 20} = \dfrac{67}{7}[/tex]

d₁ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_1}[/tex]

[tex]d_1 = \dfrac{67}{7} - 9.0 = \dfrac{4}{7}[/tex]

d₂ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_2}[/tex]

[tex]d_2 = \dfrac{67}{7} - 10.0 = -\dfrac{3}{7}[/tex]

Therefore;

[tex]3=\sqrt{\dfrac{15 \times \left ( 4.0^2-\left(\dfrac{4}{7}\right) ^2 \right ) + 20 \cdot \left ( \sigma^2_{2}-\left(-\dfrac{3}{7}\right) ^2 \right )}{15+20}}[/tex]

Solving gives;

[tex]Variance, \ \sigma^2_2 = \mathbf{\dfrac{{117} }{28}}[/tex]

[tex]\mathrm{The \ variance \ of \ the \ second \ set, \ \sigma_2^2} = \dfrac{{117} }{28} = 4\dfrac{5}{28}[/tex]

Learn more here:

https://brainly.com/question/16869429

solve pls brainliest

Answers

Step-by-step explanation:

-4+13=9

-16-(-29)=13F lower

Find YZ and XY so I can put em in the boxes :)

Answers

Answer:

........................

3. Find the slope of the line passing through the points (-4,-8) and (2,-8)

2. Find the slope of the line passing through the points(6,6) and (6,-4)

Answers

Answer:

2. undefined

3. 0

Step-by-step explanation:

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

3.

( x1, y1 ) = ( - 4, - 8 )

Here,

x1 = - 4

y1 = - 8

( x2, y2 ) = ( 2, - 8 )

Here,

x2 = 2

y2 = - 8

Slope = ( - 8 - ( - 8 ) ) / ( 2 - ( - 4 ) )

= ( - 8 + 8 ) / ( 2 + 4 )

= 0 / 6

Slope = 0

2.

( x1, y1 ) = ( 6, 6 )

Here,

x1 = 6

y1 = 6

( x2, y2 ) = ( 6, - 4 )

Here,

x2 = 6

y2 = - 4

Slope = ( - 4 - 6 ) / ( 6 - 6 )

= - 10 / 0

Slope = not defined

Note : -

Any number who denominator is 0 is undefined.

A Matrix of 1xM is called as ______.

Answers

Answer:

row matrix

Step-by-step explanation:

A matrix with only 1xmis called a ______ matrix

3
Abox of cereal states that there are 84 calories in a
4
-cup serving. What is the unit rate for calories
per cup? How many calories are there in 4 cups of the cereal?

Answers

Answer:

21 calories per cup

Step-by-step explanation:

4cups↔84calories

1cup  ↔less

1/4x84=21calories

Hhhhhhhhhhhhhhhhjjjjjj

Answers

Answer:

8.75 per hour

Step-by-step explanation:

Since it is a linear function we can use the slope formula

m = ( y2-y1)/(x2-x1)

  = ( 370-20)/(40-0)

  =350/40

 = 8.75

Multiply. Write your answer as a fraction in simplest form.
8
X
9

Answers

Answer:

40/54 = 20/27

Step-by-step explanation:

Subtract 8 1/6 - 4 5/6 Simplify the answer and write as a mixed number.

Answers

Answer: A

Step-by-step explanation:

Ants love to eat Whales. You learn something new everyday! :)

Archimedes drained the water in his tub. The amount of water left in the tub (in liters) as a function of time (in minutes) is graphed. How much water was initially in the tub?

Answers

Answer:

y+zx=a (see below for variables

Step-by-step explanation:

You haven't attached an image, so I'll I assume you want the equation

y is amount of water, x is time, z is water drained per minute, and a is the original amount o water

y=a-zx

rearranging it for the original amount of water

y+zx=a

Answer:

360 liters

Step-by-step explanation:

The time when the draining began is the same as 0 minutes since the beginning of the draining. So we need to look for the point on the graph where Time is 0, which is the y-intercept. The point we are looking for is (0,360), which means that at the beginning of the draining, there were 360 liters of water in the tub.

how many feet in 2/5 of a mile

Answers

1 mile is equal 5280 feet. So 2/5 of a mile is 2/5*5280=2112 feet.

The answer is 2112.

what is 512 grams in pounds​

Answers

Answer:

1.12877

Step-by-step explanation:

You could also round it to the nearest tenth and just say 1.1 pounds

Answer:

1.12877 pounds

Step-by-step explanation:

For an approximate result, divide the mass value by 454.

1 gram = 0.00220462 pounds

Wesley willed his estate to Margaret,
no b Betty Jo, and Johnny. He gave Margaret
$20,000. Betty Jo got 22 times as much as
Margaret. Johnny got 32 times as much
as Margaret. What was the total value of
the estate?

Answers

Answer:

1,100,000

Step-by-step explanation:

20000 + 22(20000) + 32 (20000)= 55 (20000)= 1,100,000

Answer:

1,100,000

Step-by-step explanation:

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