1.10 friends are at a party and they decided the party was boring and decided to go to a
club in two different cars. One of the friends, Susan, has an SUV that can carry 7
passengers. So, Susan can take 6 more of the 9 friends with her. How many
different groups of 6 people are possible from the 9 remaining friends?

Answers

Answer 1

Using the combination formula, it is found that 84 different groups of 6 people are possible from the 9 remaining friends.

The order in which the friends are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 6 friends are chosen from a set of 9, hence:

[tex]C_{9,6} = \frac{9!}{6!3!} = 84[/tex]

84 different groups of 6 people are possible from the 9 remaining friends.

More can be learned about the combination formula at https://brainly.com/question/25821700

Answer 2

Answer:

this wrong

Step-by-step explanation:


Related Questions

Given the functions f(x)=7-2x and g(x)=5x-3 find g(f(-4)) find f(g(x))

Answers

Answer:

g(f(-4)) = -8

f(g(x)) = 13-10x

Step-by-step explanation:

g(f(-4)):

Plug in the equation f(x) into the variable x of g(x), we have:

[tex](gof)= 5(7-2x)-3[/tex]

Plug in x = -4 and the answer is -8

f(g(x)):
Plug in the equation g(x) into the variable x of f(x), we have:

[tex]7-2(5x-3) = 7-10x+6 = 13-10x[/tex]

I Need Help Guys , Been in it for 30 minutes

Answers

Answer:

The ratio is 2:3.  10m:15m is the fraction 10/15.  Reduce to 2/3.  The ratio is 2:3.

Step-by-step explanation:


A whole number rounded to the nearest hundred is 4,300. What is the least possible
value for that number?

Answers

Answer:

4250

Step-by-step explanation:

Anything under this would round down to 4200

PLEASE HELP ILL GIVE NITRO AND BRAINLIEST TO WHOEVER ANSWERS

Becca finds that when asked for donations, 14 of her customers will donate to a local charity.

To simulate the behavior of the next 4 customers, she writes the numbers 1, 2, 3, and 4 on pieces of paper and mixes them up. She then picks 4 pieces of paper, records the results, and puts the papers back. She repeats this experiment for a total of 16 trials.

The results are shown in the table. Here, she let 1 represent a customer agreeing to donate and 2, 3, and 4 represent a customer not donating.

Using this simulation, what is the probability that, out of the next 4 customers, 2 will donate?

A. 316

B. 14

C. 12

D. 1316

Answers

Answer: i think A sorry if it's wrong

Step-by-step explanation:  the probability is the number of favorable outcomes divided by the total number of outcomes possible

1. The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=1 and x=0 and a root of multiplicity 1 at x= -5 Find a possible formula for P(x)

Answers

The degree of the polynomial P(x) is the highest power of the polynomial P(X)

A possible formula for P(x) is [tex]P(x) =(x + 5)x^2(x - 1)^2 \\[/tex]

How to determine the polynomial

The given parameters are:

Roots of multiplicity 2 at x=1 and x=0

Root of multiplicity 1 at x= -5

Write out the roots

x=1 and x=0 ------- Multiplicity 2

x = -5  ------- Multiplicity 1

Equate the roots to 0

x - 1 = 0 and x = 0 ------- Multiplicity 2

x + 5= 0  ------- Multiplicity 1

Place the multiplicities as the exponents of the roots

(x - 1)^2 = 0 and x^2 = 0

(x + 5)^1 = 0

Multiply the expressions

[tex](x - 1)^2 * x^2 * (x + 5)^1 = 0 * 0 * 0[/tex]

This gives

[tex](x - 1)^2 * x^2 * (x + 5) = 0[/tex]

Rewrite as:

[tex](x + 5)x^2(x - 1)^2 = 0[/tex]

Replace 0 with P(x)

[tex]P(x) =(x + 5)x^2(x - 1)^2[/tex]

Hence, a possible formula for P(x) is [tex]P(x) =(x + 5)x^2(x - 1)^2 \\[/tex]

Read more about polynomials at:

https://brainly.com/question/4142886

arvin has a bake shop he sold 85 cakes today that is 16 cakes fewer than yesterday how many cakes did he sell yesterday
NEED SOLUTION EXPLAIN PLEASE​

Answers

cake sold today :- 85

cake sold yesterday :- X

relationship between caked sold :-

Today cake sold = cake sold yesterday- 16 (ATQ)

85 = x -16

85+16= x = 101 cakes

so Arvin sold 101 cakes yesterday

Answer:

Its 101

Hope this will help you

Step-by-step explanation:

Cake he sold today-85

Let the cake he sold yesterday be x,

x = 85+16

Therefore, x= 101

Therefore, He sold 101 cakes yesterday

can someone help me with this question

Answers

Answer:

90 degree angle and arc

Use elimination to solve for x and y: -2x-y=9 2x-9y=1

Group of answer choices A. (5, 1) B. (-1, -7) C. (-4, -1) D. (-1, -4)

Answers

Answer:

C

Step-by-step explanation:

Label the two equations:

-2x -y= 9 -----(1)

2x -9y= 1 -----(2)

(1) +(2):

-2x -y +2x -9y= 9 +1

-2x +2x -y -9y= 10

Simplify:

-10y= 10

y= 10 ÷(-10)

y= -1

Substitute y= -1 into (2):

2x -9(-1)= 1

2x +9= 1

2x= 1 -9

2x= -8

x= -8 ÷2

x= -4

Thus, the solution is (-4, -1).

Answer please! ))))))))))))))

Answers

9.5, 72-15=57, 57 divided by 6=9.5

What is the slope of the line
-4+7= 2y - 3

Answers

Answer:  0

Step-by-step explanation:

Rewrite as y = mx + b form, where m is slope and b is the y-intercept.

2y - 3 = -4 + 7

     2y = 3

       y = 3/2

There is only the y- intercept, 3/2, therefore the slope is 0.


The attendance at a cricket match
was 6500. At the next match the
attendance fell by 24%.
How many people attended
the second match ?

Answers

Answer:

the aswer is 4940

Step-by-step explanation:

6500-24%

=4940

Answer:

4940

Step-by-step explanation:

Find 24% of 6500

6500 * 0.24 = 1560

Then subtract the product from 6500

6500 - 1560 = 4940

How to solve graph 5+h>7

Answers

Answer:

h > 2

Step-by-step explanation:

It may look hard, but it is not really.

1. Solve

Here we have the equation 5+h>7.

All we have to do to find h is to subtract 5 from both sides.

5+h>7

-5     -5

When you subtract 5 from both sides, you get

5 - 5 = 0

7 - 5 = 2

All is left is 0+h>2, or h > 2.

2. Substitute

To make sure, (I do this but you can if you want to) I will substitute.

The values of h have to be greater than 2. So, Let's substitute 3.

5 + h > 7 --> 5 + 3 > 7

It's simple math.

5+3=8

8>7

Now, also to confirm, let's try a value less than 2, 1.

5 + h > 7

5 + 1 > 7

6 > 7 is not true, so it is confirmed that anything less than 2 is not true and anything greater is true.

Hence, h > 2

Hope this helps :)

-jp524

What is 6 times 3/4 ?

Answers

Answer:

4.5

Step-by-step explanation:

Answer:

it is 9/2

Step-by-step explanation:

soo uhhh first cancel out two

so it becomes 3 (3/2) then it equals to 9/2

A balloon has a radius of 7.25 cm. What is the approximate area of the circle, rounded to the nearest whole number?

Answers

Answer:

165 square cm

Step-by-step explanation:

Area of a circle is [tex]\pi r^2[/tex], where r = radius. We're given the radius as 7.25.

[tex]3.14 * 7.25^2[/tex] [tex]3.14 * 52.5625[/tex] [tex]165.04625[/tex] 165.04625 ≈ 165 square cm

Therefore, the answer is 165 square cm.

Find the exact value of y.

Answers

Answer:

[tex]y = 2\sqrt{10}[/tex]

Step-by-step explanation:

In left small right triangle: we have the square of left side = 5^2 + y^2 = 25 + y^2

In right small right triangle: we have the square of right side = 8^2 + y^2 = 64 + y^2

In the large right triangle, we have (25 + y^2) + (64 + y^2) = (5 + 8)^2

89 + 2y^2 = 13^2 = 169

2y^2 = 169 - 89 = 80

y = 80/2 = 40

so

[tex]y=\sqrt{40} = 2\sqrt{10}[/tex]

How to respond to "good talk good talk"

Answers

Answer:

Step-by-step explanation:

If the person who sent “good talk good talk ” message to you is someone you know very well, but you have not heard from him or her for quite a while, answering with “What took you so long? I missed you!” will be the perfect reply. Simply asking back with “How are you” without any greetings is also fine.

Answer:

speak nice

Step-by-step explanation:

2. Marty’s herb garden is 9/10 of a yard wide and 0.85 inches long. Which is greater, the width or length? explain why.

Answers

Answer:

length

Step-by-step explanation:

because 9/10 will be:

9 divided by 10= 0.9

and 0.85 is greater than 0.9

Find the product. (-2x^2)^3 ·3x

Answers

(-2x^2)^3 * 3x

3(-8(x^2)^3)x

3(-8x^6)x

3(-8x^7)

-24x^7

Hope this is accurate & helpful! Let me know if I made any errors or if you have any additional questions.

HELP ASAP PLEASE!!!

Over her summer break, Kim had to read a total of fifteen books before school started again in the fall. She tracked her progress weekly and made the following graph

According to the graph, about how many books did Kim read each week?

A 2/3

B 1 1/2

C 2 1/2

D 15

Answers

Answer:

1 1/5

Step-by-step explanation:

average book per week = the amount of books read / the amount of weeks

= 15/10 = 1 1/2

The length of a rectangle is 11 m less than three times the width, and the area of the rectangle is 42 m^2 . Find the dimensions of the rectangle.

Answers

Given -

↠ the length of a rectangle is 11 m less than three times the width (let the width be x then length = 3x - 11)

↠the area of the rectangle is 42 m².

To find -

the dimensions of the rectangle.

Solution -

As we know,

area of rectangle = length × width

➟ 42 = (3x - 11) x

➟ 42 = 3x² - 11x

➟ 3x² - 11x - 42 = 0

now splitting the middle term to find the value of x,

➟ 3x² - (18 - 7)x - 42 = 0

➟ 3x² - 18x +7x - 42 = 0

➟ 3x (x- 6) +7(x - 6) = 0

➟ (3x + 7)(x - 6) = 0

➟ x = -7/3, 6

x = 6

We will take the value of x as 6 because the value of dimensions can never be in negative.

Hence, length = 3 × 6 - 11 = 7 cm and width = 6 cm

Here is a linear equation: y = 1/4x +5/4
Are (1, 1.5) and (12, 4) solutions to the equation?
Yes or No?
PLEASE NEED HELP

Answers

Answer:

The answer is "yes"

Step-by-step explanation:

make me brainliest pls and follow me

WHAT IS 2PLUS 2 IT IS 4 BECAES 2 AND 2 EQAUL 4

Answers

Answer:

2+2=4

Step-by-step explanation:

Answer:

2+2 =4

Step-by-step explanation:

1 +1 +1 +1 is 4 so 2+2 is 4

(LOTS OF POINTS)
Julia has 2 more marbles than John. If the total number of marbles is 18, write an equation to represent the situation using a variable.

Answers

Julia:John
x+2:x =18
2x+2=18

Answer: 2x+2=18

Answer:

Step-by-step explanation:

y= john's balls

y+2+y = 18

2+2y = 18

-3x+3y=4 -x+y=3 substitution

Answers

Answer: No solution

Step-by-step explanation:

-3x+3y=4

-x+y=3

We will rewrite the first equation and then substitute it into the second equation since we are solving by substitution.

Rewriting

-3x + 3y = 4

3y = 4 + 3x

y = [tex]\frac{4}{3}[/tex] + x

Substituting

-x + y = 3

-x + ([tex]\frac{4}{3}[/tex] + x) = 3

-x + [tex]\frac{4}{3}[/tex] + x = 3

[tex]\frac{4}{3}[/tex]  = 3

Hmmm, this doesn't look right, does it? This means there is no solution.

-> We can also see this when we graph the two equations, they never intersect.

-> I have attached the graph.

Answer:

no solution

Step-by-step explanation:

How do you factorise 6x-9

Answers

Answer:

6 x a number - 9 = factored

In this case, since the number is not declared as a specific number, this is the key to us factoring.

Like the number could be 6. ↓

Factoring:

[tex]6*6-9=27\\6*3-9=9\\6*9-9=45[/tex]

bonus even factor:

[tex]6*2-9=3[/tex]

These are factors and Least common multiples of 6 and 9.

Because 9 and 3 show up during half of the problem, and these are related to 6 and 9, the parents, we could measure this on a mathematical scale that this proves the factors correct.

There are other ways to factor this. See comments.


Express 80 as the product of its prime factors.
Write the prime factors in ascending order.

Answers

Answer:

[tex]\huge\boxed{\bf\: 2 * 2 * 2 * 2 * 5}[/tex]

Step-by-step explanation:

[tex]80\\= 40 * 2\\= 20 * 2 * 2\\= 10 * 2 * 2 * 2\\= 5 * 2 * 2 * 2 * 2\\\\\sf\:IN \: ASCENDING \: ORDER \rightarrow \boxed{\bf\:2 * 2 * 2 * 2 * 5}[/tex]

[tex]\rule{150}{2}[/tex]

Fill in the blanks to show the value of the expression as a mixed number and as
an improper fraction.
3x4/5=

Answers

Answer:

12/5 or 2,2/5

Step-by-step explanation:

[tex]3 \times \frac{4}{5} [/tex]

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

[tex] = 2 \frac{2}{5} [/tex]

pls give brainliest

The probability that it will rain tomorrow is 0.1, what is the probability that it won't rain tomorrow?

Answers

Answer:0.9

Explanation: Probability is out of 1. So if you take 0.1 (probability it will rain) away from 1 you get 0.9.


The rate of change is:
-4
-1
1
4

Answers

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

to get the slope of a straight line we only need two points off of it, hmmm let's use from the table (-1 , 13) and (2 , 1)

[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{13})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{13}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}}\implies \cfrac{-12}{2+1}\implies \cfrac{-12}{3}\implies -4[/tex]

The required rate of change in the slope-intercept form is -4. Option A is correct.

What is the slope of the line?

The slope of the line is the tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Two coordinates from the table,
(-2, 17) and (-1, 13)
Now,
Rate of change = slope of the function = (13 - 17) / (-1 - (-2))
                                                                 = -4 / 1
                                                                 = -4

Thus, the required rate of change in the slope-intercept form is -4. Option A is correct.

Learn more about slopes here:
https://brainly.com/question/3605446

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Hi need help 2•4 then need to add 2

Answers

Answer:

=2+2*4

As 2*4 is 8

=2+8

=10

The answer will be 10

Step-by-step explanation:

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Answer:

10

Step-by-step explanation:

First 2*4 is =8 then 2+8 will be 10

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