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.

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.

Answer:

3

Step-by-step explanation:

in both f approaches +infinity

Answer:

21 calories per cup

Step-by-step explanation:

4cups↔84calories

1cup  ↔less

1/4x84=21calories

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

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

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

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.

Answer:

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

Step-by-step explanation:

Hope it helps

Peace out

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

Step-by-step explanation:

the roots are complex

the answer is in the image above

Step-by-step explanation:

-4+13=9

-16-(-29)=13F lower

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).

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:

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#SPJ7

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

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

Answer:

row matrix

Step-by-step explanation:

A matrix with only 1xmis called a ______ matrix

Answer:

40/54 = 20/27

Step-by-step explanation:

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:

Answer:

thank you!

Step-by-step explanation:

Answer:

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

Answer: A

Step-by-step explanation:

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

The answer is in the graph.

Answer:in the picture

Step-by-step explanation:

please give me a brainliest answer

Answer:

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

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

Answer:

x² = 2

x = sqrt. of 6

x = (+-)2.449

Step-by-step explanation:

brainliest plz

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.

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

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:

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

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Answer:

30.8lb

Step-by-step explanation:

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