Six friends arrive at a party their arrival increases the number of people at the party by 20% in total how many people are now at the party

Answers

Answer 1

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Suppose that the number of the people in the party is :

[tex]x[/tex]

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20 % of x equals :

[tex] \frac{20}{100} \times x = 0.2x \\ [/tex]

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Thus ;

[tex]0.2x = 6[/tex]

[tex] \frac{2}{10}x = 6 \\ [/tex]

Multiply sides by 10

[tex]10 \times \frac{2}{10} x = 10 \times 6 \\ [/tex]

[tex]2x = 60[/tex]

Divided sides by 2

[tex] \frac{2}{2} x = \frac{60}{2} \\ [/tex]

[tex]x = 30[/tex]

There were 30 people in the party.

Thus there are ;

[tex]30 + 6 = 36[/tex]

People at the party now.

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Related Questions

The suspect was spotted riding the swings earlier in the day. Each swing can hold a maximum weight of 500 pounds. In order to reach the maximum weight, you would have to double the weight of the suspect and add 20 pounds less than the weight of George. Write and solve an equation to represent the suspect's weight.

Answers

Answer:

2y + ( x- 20)= 500

y= 520-x/2

Step-by-step explanation:

Let the weight of George be x and the weight of the suspect be y .

The swing can hold a maximum of 500 pounds .

Twice the weight of suspect added with 20 pounds less than the weight of George equals 500.

2y + ( x- 20)= 500

or

2y+x- 20 = 500

adding 20 to both sides

2y+x -20 +20= 500+ 20

or

2y +x = 520

Subtracting x from both sides

2y+ x-x = 520-x

or

2y = 520-x

Dividing by 2 on both sides

y= 520-x/2

The suspect's weight is y= 520-x/2

Answer:

s = 260 - g/2

Step-by-step explanation:

Given the following :

Maximum weight swing can hold = 500 pounds

Let suspect's weight = s

George's weight = g

To reach maximum weight :

Double weight of suspect + (George's weight - 20)

Hence, equation:

2s + (g - 20) = 500

2s + g - 20 = 500

2s + g = 500 + 20

2s + g = 520

2s = 520 - g

Divide through by 2

s = 260 - g/2

Carrie Ann has a penny bank with 812 pennies in it. She gave her little sister 10 pennies to start her own penny bank savings. She gave 68 pennies to her brother in exchange for taking her turn at doing the dishes. How many pennies does Carrie Ann have in her penny bank? Explain how you got your answer.

Answers

Answer:

Just do 812-78 that equals 734.

Answer:

734 pennies

Step-by-step explanation:

10 +68 =78 pennies that she gave to her sister and her brother

812 - 78 =734 pennies has

3. The positive root of 154 is located between which two consecutive integer values?

Answers

Answer:

between 12 and 13

Step-by-step explanation:

answer is 12.4

Answer:

Step-by-step explanation:

12²=144

√144=12

13²=169

√169=13

√154 lies between 12 and 13.

Write the equation of the line that passes through the given points.
(0.2) and (5,8)

Answers

Answer:

y=1.20x+2.00

Step-by-step explanation:

Answer:

y=6/5x+2

Step-by-step explanation:

change in y/change in x =slope

8-2/5-0=6/5

y=mx+b

2=6/5(0)+b

2=b

EMERGENCY! PLEASE ANSWER ASAP! ​

Answers

Answer:

Its the second one

Step-by-step explanation:

What is the measure of angle ONM ?

Answers

If I’m remembering right it’s been a while but it should be 56 because it would be 124-180 leaving 56

Answer:

I would say A. 56

Step-by-step explanation:

Find the difference

I need help please

Answers

Answer:

-2/45

Step-by-step explanation:

Hoped it helped!

The first one -2/45 hope it helps

The graph of a line is shown below.

Based on the graph, what are the rate of change and the y-intercept of the line?

Answers

Answer: Change is 1 and the y-intercept is 1/2

Let me know if I’m wrong

Step-by-step explanation:

Not really anything related but Where should i go to eat?

Answers

You should go to chick-fil-a!!!

what do temperature and elevation have in common

Answers

Answer: As you increase in elevation, there is less air above you thus the pressure decreases. As the pressure decreases, air molecules spread out further (i.e. air expands) and the temperature decreases. If the humidity is at 100 percent (because it's snowing), the temperature decreases more slowly with height.

Step-by-step explanation:

Trust  me

Esteban has a big jar f change in his room, he has 600 coins total, and 240 of them are pennies.
What percent of the coins are pennies?

Answers

Answer:

40%

Step-by-step explanation:

240/600 = 0.40 * 100% = 40%

I don't understand this at all.

Answers

Answer:

i think the answer is A

Step-by-step explanation:

Which of these is the answer please.

Answers

answer: the first one

Perform the indicated operation.

12 ÷ (-6)

6
-18
-2
-72

Answers

Answer:

the answer is -2 because positive divided by a negative is equals to a negative so positive 12 divided by -6 it will be equal to -2

-2 because you are dividing by a negative which makes the answer the same.

12/6 is 2 and since it’s negative it’s -2

whats the answer to number 3? please and thank you! and please provide steps

Answers

Answer:

33°

Step-by-step explanation:

In triangle ABC,

<ABC +<BAC+<ACB =180°[Sum of three angles of a triangle]

2x+15+2x+x=180

5x=180 - 15

x=165/5

x=33°

Hope this helps!!

What’s the answer to this i really need help

Answers

Answer:

x = 159°

Step-by-step explanation:

x + 29° = 180° (Because they form a linear pair)

=> x = 180° - 29°

=> x = 159°

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

Answer:

x will be 159 degrees

Step-by-step explanation:

x+29 = 180 I'm working on the same thing x=180 degrees -29 degrees that comes to 159 degrees

The table provides information on road accidents reported to the police for the days in December.

Accidents reported Frequency
0 - 5 18
6 - 10 4
11 - 15 6
16 - 20 3

Estimate the mean.
Give your answer rounded to 1 DP.

Answers

Answer:

31/20 = 1.55

1.6

The mean of on road accidents reported to the police for the days in December is 6.7

What is the meaning of mean ?

In a group of numbers, the mean is the average or most common value. It is a measure of central tendency of a probability distribution along the median and mode in statistics.

It is given in the question about the  information on road accidents reported to the police for the days in December.

Mid point of (0-5) = 2.5

Mid point of (6-10) =8

Mid point of (11-15)=13

Mid point of (16-20) = 18

Mean = (∑Midpoint * frequency )/ (∑ frequency)

[tex]\rm Mean = \dfrac{2.5\times18+8 \times4+13\times6+18\times3}{18+4+6+3}\\\\\\\rm Mean = \dfrac{209}{31}\\[/tex]

Mean = 6.74

Mean = 6.7

To know more about Mean

https://brainly.com/question/13451489

#SPJ2

Tap A fills 10/11 of a bottle in a minute. Tap B fills 3 4/5 times as many bottles as Tap A in a minute. Find the number of bottles Tap B fills in a minute.

Answers

Answer:

  3 5/11

Step-by-step explanation:

Tap A's rate is (10/11) bottle/min.

Tap B's rate is 3 4/5 = 19/5 times that of tap A. Then tap B's rate is ...

  (19/5)(10/11) bottles/min = 38/11 bottles/minute

Tap B fills 3 5/11 bottles in a minute.

Write each number in scientific notation.
160,000,000
29,830
0.000350

Please answer asap!!
Thank you

Answers

Answer:

one hundred sixty million, twenty-nine thousand eight hundred thirty, thirty-five hundred thousandths

Step-by-step explanation:

Each of the numbers written in word form instead of standard form. Hope it helps!

Solve by elimination.
3x + 4y = -6
5x - 4y = 22

Answers

Answer:

Step-by-step explanation:

Just

Emliminate it by 3x’s

Answer:

HOPE THIS HELPED YOU

PLEASE MARK AS THE BRAINLIEST (ㆁωㆁ)

V I’m please help I already posted this but I did this answer

Answers

Answer: m+1

Step-by-step explanation:

PLZ HELP WILL MARK BRAINLEST 2 or more have to answer and its timed 1 hour

Answers

Answer:

z=77

Step-by-step explanation:

z/7−9=2

Step 1: Simplify both sides of the equation.

z−9+9=2+9

1/7z=11

z=77

(✿◠‿◠)

What is the rate of change of the table shown?
A)5
B)2
C)-5
D)-2

Answers

The answer would be B) 2

I really need the answer ASP

Answers

Answer: No the deveiation of chicagos tempratures is actually higher than londons standard tempratures so its false

Step-by-step explanation:

It is falseeeeeeeeeee

Please HELP with these questions!! Legit answers only!

Answers

Answer:

answers below

Step-by-step explanation:

hi! you can plug in the x values given into the equation and solve for y to get your table values.

y=-1(0)+2

y=2

y=-1(1)+2

y=1

y=-1(3)+2

y=-1

y=-3/2 (-2) -1

y=2

y=-3/2 (0) -1

y=-1

y=-3/2 (2) -1

y=-4

hope this helps!

what is the value of (-3)^3

Answers

Answer:

-27

Step-by-step explanation:

(-3)^3

This is the value inside the parentheses multiplied by itself 3 times

-3 * -3*-3

-27

consider the following figure

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

<c & <f would be alternate interior angles because they're a pair of angles on the inner side of each of those two parallel lines but on opposite sides of the transversal.

Ebony bought 4 cans of Soup A for $6.00.

For each soup, indicate whether the soup has the same price per can as Soup A.

Soup B: 2 cans for $5.00
Soup C: 3 cans for $4.50
Soup D: 5 cans for $5.00
Soup E: 6 cans for $9.00

Answers

soup b; no
soup c; yes
soup d; no
soup e; yes

rewrite 1/6 book 2/3 hour as a unit rate ​

Answers

Answer:

1/4 books per hour

Step-by-step explanation: Pls mark brainliest!

Answer:

it is 1\4 bro you working apix quiz don't be cheating

Step-by-step explanation:

What is another way to write the equation o 7/8x+3/4=-6​

Answers

Answer:

7+3/8+4 x =-6

C. 7/8 + 3/4x = -6

D. 7/8x - 3/4 = 6

Step-by-step explanation:

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