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

What is the range of the function f(x) = 3/4|x|- 3

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Answer:

[-3,∞)

Step-by-step explanation:

Are ratios 8:16 and 1:2 equal? Why?

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Because 8/8=1 and 16/8= 2

Answer:

Yes, 8:16 and 1:2 are equal

Step-by-step explanation:

They are both equal to 1/2.

8/16 simplified is 1/2

You can multiply the numerator and denominator to get 8 / 16

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2 x 8 = 16

8/16

Solve the equation using inverse operations. show your work

-x^2=-36

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Answer:

x = 6, -6

Step-by-step explanation:

-x^2 = -36

~Take the square root of both sides

x = ±6

Best of Luck!

find the area of a Semicircle whose radius is 3.5 cm (take pi as 22/7

Answers

Answer:

TSA=115.5cm²

Step-by-step explanation:

T.S.A=3πr²

Given r=3.5cm

eq.

3×22/7×3.5×3.5

=3×22×0.5×3.5

=115.5cm²

Answer:

[tex]19.25cm^{2} \\[/tex]

Step-by-step explanation:

Formula

[tex]\frac{\pi r^{2} }{2}[/tex]

Solve

[tex]\frac{(\frac{22}{7} )(3.5cm)^{2}}{2}= \frac{(\frac{22}{7} )(3.5cm)(3.5cm)}{2}=\frac{((\frac{22}{7} )(3.5cm))(3.5cm)}{2}=\frac{(\frac{77}{7}cm)(3.5cm) }{2}[/tex]=

[tex]\frac{(11cm)(3.5cm)}{2}=\frac{38.5cm^{2}}{2}=19.25cm^{2}[/tex]

HELP PLS FAST PLEASE HELP ME AHHH PLEASE

Answers

Answer:

Function 1 has a greater slope and greater y-intercept than Function 2.

Step-by-step explanation:

Function 1

Slope: 1/3

y-intercept: 2

Function 2

Slope: -2/4

y-intercept: -2

47 426 round to the nearest thousands​

Answers

Answer:

47 000

I hope this helps

f(x) = x + 7
and
g(x) = x^2
What is f( g( -7))

Answers

I THINK IT IS

X-49x^2

#1
5.4
- This table of values represents a linear function.
х
у
-5
NIN
-1
5
) Enter an equation in the form of y = mx + b that represents the function.
7
8
9
-
Х
у

Answers

Answer: the answer is choice b

Step-by-step explanation:

Solve: (step by step please)
x^2+9x+9=0

Answers

Answer:

[tex]x=\frac{-9\pm3\sqrt{5} }{2}[/tex]

Step-by-step explanation:

Standard Form: ax² + bx + c = 0

Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Step 1: Write equation

x² + 9x + 9 = 0

Since we cannot factor the expression, we will have to use the quadratic formula.

Step 2: Define

a = 1

b = 9

c = 9

Step 3: Solve for x

Substitute: [tex]x=\frac{-9\pm\sqrt{9^2-4(1)(9)} }{2(1)}[/tex]Evaluate: [tex]x=\frac{-9\pm\sqrt{81-36} }{2}[/tex]Evaluate: [tex]x=\frac{-9\pm\sqrt{45} }{2}[/tex]Simplify: [tex]x=\frac{-9\pm3\sqrt{5} }{2}[/tex]

Answer:

 X1= -9-3[tex]\sqrt5[/tex]  over 2    X2= -9+3[tex]\sqrt5[/tex] over 2  (draw a line under the -9 to the 5

                                                                         and put a 2 under like a fraction

                                                                          i cant get the line all the way

                                                                          across on here   sorry

Step by step explanation:

x= -9 [tex]\sqrt9^2 -4x1x9[/tex]    Over (draw a line under that) Put all that under sq root

             2 x 1                        also

x= -9+ [tex]\sqrt81-36[/tex]         Over 2

           2

x= -9 + [tex]\sqrt45[/tex]                 Over 2

         2

x=-9 +3[tex]\sqrt5[/tex]                   Over 2

        2

separate solutions    gives your answer above  

Also ......note ..... put a line under each  + sign  ok I worked hard getting this all down best i can

You have a box that measures 11
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Answers

Answer:

1,331in^3

Step-by-step explanation:

Can someone help me plz

Answers

In the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

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Answers

Answer:

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Step-by-step explanation:

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Pythagoras theorem

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Answer:

i think its 8

Step-by-step explanation:

becuse 4/5 its equal to 8/9 so thats why.

denada✌

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Answers

Answer:

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Step-by-step explanation:

Answer:

p=57 degrees

Step-by-step explanation:

P and 33 are complementary we know this because of the right angle so set up this equation:

90=angle + angle

sub in the numbers

90=33+P

Substract both sides by 33 to get p alone.

p=57

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Answers

Answer:

x=87/8

Step-by-step explanation:

2/3x=8-3/4

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Answers

Answer:

1.1 × 10^ 4

Step-by-step explanation:

Answer:

2.7*10^4 - 3.7*10^3

=10^3[2.7*10-3.7]

=10^3 [27-3.7]

=10^3 *23.3

=2.33*10^4

Hope this helps!!

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Answers

Answer:

3 times 3 1/4 is 13 times 3 which is 39

Step-by-step explanation:

1. The video store rented 42 videotapes on
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Wednesday, and 32 on Thursday. What
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A. 37
B. 38
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E. 54

Answers

Answer:

C. 40

Step-by-step explanation:

average = (42 + 35 + 51 + 32)/4 = 40

Answer: C. 40

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Step-by-step explanation:

A checking account is set up with an initial balance of $5400, and $300 is removed from the account each month for rent (no other transactions occur on the account).

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Answer:

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Step-by-step explanation:

Solve: x3 = 27

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D) X = 9 and x = -9

Answers

Answer:

C

Step-by-step explanation:

27/3=9

Just do cube root of 27.

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y- value of y-intercept _____

Answers

X intercept is 4 and y intercept is -4

What is the difference between midpoint and perpendicular bisector?

Answers

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Answers

Answer:

7

Step-by-step explanation:

a fraction divided by a fraction can be multiplied by the reciprocal. so...

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Answer:

6

Step-by-step explanation:

3/4 ÷ 1/8 = 3/4 × 8/1 = 24/4 =6

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I NEED HELP ASAP PLEASE

Answers

Answer:

(-3, 1)

Step-by-step explanation:

The line goes down 3 (-3) and to the right 1

(-3, 1)

(Sorry if I am wrong. Please don't get mad)

Hope I helped :)

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Write the word sentence as an equation. Then solve.

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Answers

Answer:

10+c=3

Step-by-step explanation:

to solve this you would then subtract 10 from both sides, to get c by itself.

3-10= -7

Your answer would be -7 and the equation would be 10+c=3.

Which of the relations below is a function?

{(2,3), (3,4), (5,1), (6,2), (2,4)}

{(2,3), (3,4), (5,1), (6,2), (3,3)}

{(2,3), (3,4), (5,1), (6,2), (7,3)}

Answers

Answer:

{(2,3), (3,4), (5,1), (6,2), (7,3)}

Step-by-step explanation:

A relation may or may not represent a function.

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Relations and functions

For a relation to be considered a function, then the x values must point to different y-values.

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This is so because all x values in this relation point to different y-values.

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Read more about relations and functions at:

https://brainly.com/question/10283950

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