at a popular night club, the ratio of women to men is 20:11. if 7 men arrived to the club, the ratio would be 3:2. how many men are currently at the party?

Answers

Answer 1

Before there were 33 men and then 7 men arrive total men are 40.

• In mathematics, ratio is an ordered pair of numbers x and y, written x/y where value of y is not equal to 0. A proportion is an equation In which two ratios are made equal to each other.

Since the initial ratio is 20 : 11,

Lets assume there are 20x women and then the number of men will be 11x.

If 7 men arrive more the ratio will become 3 : 2

20x / (11x + 7 ) = 3/2

40x = 33x + 21

7x = 21

x = 3

Initial men = 11x = 11(3) = 33

When 7 more men arrive , total men = 33 + 7 = 40

Before there were 33 men and then 7 men arrive total men are 40.

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Related Questions

15.31 x 0.7
10.717
11.717
107.17
1.0717

Answers

Answer:

10.717

Step-by-step explanation:

15.31×0.7 = 10.717

The price of Nintendo Switch was reduced from $300 to $240 during a
Black
Friday sale. By what percentage was the price of the gaming system
reduced?

Answers

Answer:

20% or .2

Step-by-step explanation:

First divide 240 by 300

240/300

this gives you .8, you would then subtract that from 1 to get .2

You can check your answer by multiplying 300 by .2

300*.2

this gives you 60 which is the difference between the 2 numbers

Hope this helps

A book has a font and a back and 400 pages. The front and back cover are each 0.9mm thick, measured to 1 decimal place. Each page is 0.13mm thick measured to 2 decimal places calculate the minimum thickness of the book

Answers

Answer:

53.8 mm

Step-by-step explanation:

Front page and a back page + 400 pages.

The front and back cover are each 0.9mm thick, measured to 1 decimal place.

Total thickness of front and back page = 0.9mm × 2

= 1.8 mm

Each page is 0.13mm thick measured to 2 decimal places

Total number of pages = 400

Total thickness of the pages = Thickness of each page × Total number of pages

= 0.13mm × 400

= 52 mm

minimum thickness of the book = Total thickness of front and back page + Total thickness of the pages

= 1.8mm + 52mm

= 53.8 mm

The minimum thickness of the book is 53.8 mm

HELP 17 POINTS Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. What value of p makes the equation true?​

Answers

Answer:

0.125

Step-by-step explanation:

First, remove the 1/8 by subtracting 1/8 on both sides

-3p = -3/8

Then, isolate the variable by diving each side by -3

p = 0.125

Answer:

0.125

Step-by-step explanation:

did the test and got it right!!

the unit digit in the square of 18 is 21 how many natural numbers lie between 12 square and 13 square​

Answers

Answer:25

Step-by-step explanation:

I need some answers be quick pls. If you get it right I will give you brainliest

Answers

Step-by-step explanation:

multiple the power and real number

Answers;

a) Multiply 2 by 3: 6ab.

b) Multiply [tex]c^{5}[/tex] by c by adding the exponents: c^6 or [tex]c^{6}[/tex].

c) Simplify the expression. 10y^7 or [tex]10y^{7}[/tex].

d) Simplify the expression. 12g^4h^5 or [tex]12g^{4}h^{5}[/tex].

Please help
I’m stuck on this problem.....
Harry received a package for his birthday. The package
weighed 357,000 centigrams. Select the conversions that
are equivalent to 357,000 centigrams. Mark all that apply.
3,570,000 decigrams
3,570 grams
3.57 kilograms
357 decigrams

Answers

Answer:

3.57 kilo

Step-by-step explanation:

factors of tens due to metric system

Answer:

3,570 grams

3.57 kilograms

Step-by-step explanation:

1 centigram is 0.1 decigrams

357,000centigram=35,700 decigrams

1 centigram is 0.01 grams

357,000 centigram=3570 grams

1 centigram=1e-5 kilograms

357,000 centigrams=3.57 kilograms

Combine terms: 12a + 26b -4b – 16a.

(a) 4a + 22b,

(b) -28a + 30b,

(c) -4a + 22b,

(d) 28a + 30b.

Answers

Answer:

C. -4a + 22b

Step-by-step explanation:

b 12a + 26b -4b – 16a.

= 12a – 16a + 26b – 4b.

= -4a + 22

Answer:

Step-by-step explanation:

Solving like terms

-4a + 22b

Option C is the correct answer

Solve the system of equations.
​ 7x−3y=20
y=5x−4
x=
y=

Answers

Answer:

Step-by-step explanation:

substitute the value of y in the first equation.

7x-3(5x-4)=20

7x-15x+12=20

-8x=20-12

x=8/-8

x= -1

then you substitute the value of x on the y equation to find y

y=5×-1 -4

y= -5-4

y= -9

Answer:

x = -1, and y = -9

Step-by-step explanation:

This is done by solving one of the two equations for x or y, then substituting it in place of that variable in the other equation.

Since y is already clearly defined in the second equation let's go with that:

[tex]Given\ 7x - 3y = 20,\ and\ y = 5x - 4[/tex]

[tex]7x - 3(5x - 4) = 20[/tex]

[tex]7x - 15x + 12 = 20[/tex]

[tex]7x - 15x = 20 - 12[/tex]

[tex]-8x = 8[/tex]

[tex]x = -1[/tex]

Now we can replace x in the equation for y with -1:

[tex]y = 5(-1) - 4[/tex]

[tex]y = -5 - 4[/tex]

[tex]y = -9[/tex]

To make sure our answers are correct, let's substitute them into the original equations:

[tex](-9) = 5(-1) - 4\\-9 = -5 - 4\\-9 = -9[/tex]

Good, let's test the other equation

[tex]7(-1) - 3(-9) = 20\\-7 - (-27) = 20\\-7 + 27 = 20\\20 = 20[/tex]

So we know that our answer is correct.

I need the answer FASTTTTTT​

Answers

Answer:

x=7

Step-by-step explanation:

The two triangles are congruent so the equation is

9x-15=7x-1

9x-7x=15-1

2x=14

x=7

Answer:

x=7

Step-by-step explanation:

9x-15=7x-1

The difference of a number x and 3 is at most -2

Answers

Answer:

x is a number "the difference of" means subtract

therefore the "difference between 3 and a number " would be 3-x=-2

3-5= -2

Step-by-step explanation:

A 15% tip on a $14.95 lunch bill is about

Answers

17.1925 that’s the answer enjoy

10÷(2x) when x= -5/4

Answers

Answer:

-4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

10 ÷ (2x)

x = -5/4

Step 2: Evaluate

Substitute in x:                    10 ÷ (2(-5/4))Multiply:                               10 ÷ -5/2Divide:                                  -4

Answer: -4

Step-by-step explanation:

2(-5/4) = -5/2

10/ -5/2 = -4

Hope this helps :)

helppp finals are tomorrow

Answers

Answer:

Step-by-step explanation:

y = -5x

When x = -2 ; y = -5* (-2) = 10   ;  (-2 , 10)

When x = -1   ;   y = -5 *(-1) = 5   ;    (-1 , 5)

When x = 0  ,     y = 0               ;     (0 , 0)

When  x = 1  ;     y = -5 *1 = -5    ;     (1 , -5)

When x = 2 ;     y = -5 *2 = -10   ;     (2 , -10)

Mark these points (-2 , 10) ,  (-1 , 5) , (0 , 0) , (1 , -5) , (2 , -10) and join them.

Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If AD=3AD=3 and AC=12,AC=12, what is the length of \overline{AB}? AB ? (Note: the figure is not drawn to scale.)

Answers

Answer:

The answer is "6"

Step-by-step explanation:

[tex]\to x^2 = 3 \times 12 \\\\\to \sqrt{6^2 +3^2} = \sqrt{45} =\sqrt{9} \sqrt{5} = 3\sqrt{5} \\\\\to x= 6[/tex]

The value of [tex]\overline{AB} =6[/tex]

MORE Math!! please helpppppppppp

Answers

Answer:

I need a picture or sum so I can help-

Step-by-step explanation:

Does someone know how to solve this problem?

Answers

Answer:

Acute scalene triangle.

Step-by-step explanation:

Acute scalene triangle.

Sides: a = 4   b = 7   c = 8

Area: T = 13.998

Perimeter: p = 19

Semiperimeter: s = 9.5

Angle ∠ A = α = 29.995° = 29°59'41″ = 0.524 rad

Angle ∠ B = β = 61.028° = 61°1'42″ = 1.065 rad

Angle ∠ C = γ = 88.977° = 88°58'37″ = 1.553 rad

Height: ha = 6.999

Height: hb = 3.999

Height: hc = 3.499

Median: ma = 7.246

Median: mb = 5.268

Median: mc = 4.062

Inradius: r = 1.473

Circumradius: R = 4.001

Vertex coordinates: A[8; 0] B[0; 0] C[1.938; 3.499]

Centroid: CG[3.313; 1.166]

Coordinates of the circumscribed circle: U[4; 0.071]

Coordinates of the inscribed circle: I[2.5; 1.473]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 150.005° = 150°19″ = 0.524 rad

∠ B' = β' = 118.972° = 118°58'18″ = 1.065 rad

∠ C' = γ' = 91.023° = 91°1'23″ = 1.553 rad

what is 50% of 180 ?

Answers

Answer:

90

Step-by-step explanation:

Answer:

The answer is 90.

Step-by-step explanation:

I hope this helps and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

What is the scale factor of ARST to A UVW?

NEED HELP!

Answers

Answer:

B:1

Step-by-step explanation:

the values are the same, so we know the scale is 1:1

hope this helps

Answer:

b)1

Step-by-step explanation:

Pls be right will give brainliest

Answers

Answer

15

Step-by-step explain

6+9=15

which of these is a simplified form of the equation 6y + 4 = 8 + 2y + 2y?​

Answers

6y + 4 I guess is the answer for the question

solve the following
U A room id 48 m long, 3:6 M cared and om hight.
And the cast of dayng tiles on the floor
its 4 walls at the crate of Ro loome
anol​

Answers

Answer:

is there a  picture

Step-by-step explanation:

I need help asap. Please help me

Answers

1/10 to the fifth power and 1/100000

During an online sale, you buy three sweatshirts and two pairs of sweatpants for $85.50. Later you buy three more sweatshirts and four more pairs of sweatpants for $123. (You can never have too many sweats during a pandemic). What is the sale price of each sweatshirt and each pair of sweatpants?

Answers

Answer:

Step-by-step explanation:

let

x = price of a sweatshirt

y = trice of sweatpants

three sweatshirts and two pairs of sweatpants for $85.50

3x + 2y = 85.50

three more sweatshirts and four more pairs of sweatpants for $123

3x + 4y = 123

by solving the system of equations

3x + 2y = 85.50

3x + 4y = 123

we find

x = $16

y = $18.75

4x−2y=14 y=12x−1 solve by substitution

Answers

Answer:

x= -3/5

Step-by-step explanation:

4x-2y=14

y=12x-1

4x-2(12x-1)=14

4x-24x+2=14

4x-24x=12

-20x=12

×= -12/20

x= -3/5

An order of beef nachos is $2.00 more than an order of
chicken nachos. You and your friends order 2 orders of chicken nachos and
one order of beef nachos for a total of $21.50. Determine the price of a
single order of chicken nachos.

Answers

Answer:

8.75

Step-by-step explanation:

(21.50/2)-2

Answer:

a single order of chicken nachos is $6.50

Step-by-step explanation:

Because 2 orders of chicken nachos is $13.00($6.50 times 2) and one order of beef nachos is $8.50, add the $13.00 and $8.50 and you get $21.50.

Have a great day!

The weight in pounds of seven packages are 25, 10, 20, 4, 6, 3, and 9. The weight of an eighth package is added to the list. The mean weight of the eight packages is 12 pounds. What is the weight in pounds of the eight package?

Answers

Answer:

7 because to get the mean it has to be in the middle which comes down to the Number 9 package so that means the the 8th package has to be 7 pounds

Step-by-step explanation:

Reena bought a jacket for £45 . six months later ,she sold it for £34.65.What was her percentage loss?

Answers

When Reena bought a jacket for $45 and after six months later she sold it for $34.65, then the percentage loss is 25%

Given,

Reena bought a jacket for = $45

Selling price of jacket = $34.65

Here, selling price is lower than cost price, so we can consider it as loss

We know,

Loss percentage = (Loss / Initial cost)×100

Loss = Initial cost - Selling price

Loss = 45 -34.65= $10.35

Loss percentage =[tex](\frac{10.35}{45}) 100[/tex]

=0.25×100

=25%

Hence, when Reena bought a jacket for $45 and after six months later she sold it for $34.65, then the percentage loss is 25%

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The Eiffel Tower in Paris, France. Lizbeth is 5.5 feet tall. She looks up at an angle of elevation of 72° to see the top from 318 feet away. Based on her measurements, calculate the height of the Eiffel Tower. Round to the nearest hundredth of a foot.

Answers

Answer:

The height of the Eiffel Tower will be 318 feet.

Step-by-step explanation:

Please check the attached graph.

From the diagram, it is clear that Lizbeth is 5.5 ft tall, seeing the top from 318 feet away, making an angle of elevation to be 72⁰.

The diagram makes a right-angled triangle.

Given the angle = Ф = 72⁰ Adjacent = a = 5.5 ft Opposite = b = 318 ft Hypotenuse = the height of the Eiffel Tower = c ?

Pythagorean Theorem:

For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:

[tex]c=\sqrt{a^2+b^2}[/tex]

[tex]a=5.5[/tex][tex]b=318[/tex]

[tex]c=\sqrt{5.5^2+318^2}[/tex]

[tex]c=318[/tex] feet

Therefore, the height of the Eiffel Tower will be 318 feet.

the opposite of -2.25​

Answers

Answer:

2.25

Step-by-step explanation:

That's the opposite.

Answer:

Step-by-step explanation:

2.25

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