In how many different ways can four students stand in a straight line if two of the students refuse to stand next to each other?

Answers

Answer 1

Hey there! I'm happy to help!

Let's look at each spot in the line from left to right and see how many choices they are.

In spot 1, we have 4 choices. Let's say that we choose the student who doesn't want to stand next to to the other student. This means that in the next slot, there are only 2 choices because he cannot stand by the other student. Now when we move to spot number three, there are only two choices left, and then there is 1.

4×2×2×1=16

So, there are 16 different ways the students can stand in a straight line if two of the students refuse to stand next to each other.

Have a wonderful day! :D

Answer 2

Answer:

16

Step-by-step explanation:


Related Questions

4.
Given sin 0 = { and angle 0 is in Quadrant II, what is the exact value of cos 0 in
simplest form? Simplify all radicals if needed.

Answers

Answer:

Sin0= y/r

X= -4 and r= 9 (radius is also the hypotenuse)

In quadrant II y is positive

X^2 +y^2 = r^2

-4^2 + y^2 = 9^2

16 + y^2 = 81

Y^2 = 81-16

Y^2 = 65

Y= sqrt65

Sin0= sqrt65/9

Step-by-step explanation:

Evaluate
f(x) ={5x-1, if x< -2
{x+3, if x is greater than or equal to -2
When x=5

f(5)=?

Answers

Answer:

5f

Step-by-step explanation:

The sum of the digits of a two − digit number is 11. The unit's digit is 7 less than the ten's digit. Find the number.

Answers

Answer:

Number = 92

Step-by-step explanation:

Let the unit digit is x and that of tens digit is y.

ATQ,

x+y = 11 ....(1)

The unit's digit is 7 less than the ten's digit

x = y-7 ...(2)

Put the value of x from equation (2) in (1)

y-7+y = 11

2x-7 = 11

2x = 11+7

2x = 18

x = 9

Put the value of x in equation (1)

9+y = 11

y = 2

Hence, the number is 92.

please help!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

54.5

Step-by-step explanation:

A normal population has a mean m=33 and standard deviation s = 9.  What is the probability that a randomly chosen value will be greater than 44?

Answers

55 I actually don’t know the real answer

What is the balance after 15 years in a savings account that earns 2 % interest compounded bimonthly when the
initial deposit is $1000?
$1300.50
$1020.11
O $1012.52
$1348.07

Answers

the answer is d =$1348.07

How many degrees warmer is a temperature of 13°F than a temperature of -19°F?

-6°F
-32°F
6°F
32°F

Answers

32 Since this is asking how much warmer or “how much more” you just add 19 to 13.

Answer:

32°F

Step-by-step explanation:

Excluding hydropower, U.S. power plants used renewable energy sources to generate 105 million megawatt
hours of electricity in 2007. By 2012, the amount of electricity generated had increased to 219 million megawatt
hours.
Use the model to predict the number of megawatt hours that will be generated in 2017.

Answers

There will be 333 million megawatt hours in 2017

Answer:

333,000,000

Step-by-step explanation:

help me plz....................................................................

Answers

Answer:

A

Step-by-step explanation:

The steps are correct! You want to get x terms on one side, numbers on the other side. You can do that by adding or subtracting both sides of the number or term you want to move.

Please give thanks by clicking the heart button! good luck!

I really don’t know but i think it’s A. not so sure tho. i’m so sorry if i’m wrong

what does a decimal look like

Answers

Answer:

It could look like 3.2, 0.9, 22.64 it is a number that has a decimal point in it somewhere

Step-by-step explanation:

Find the length of side x in the simplest radical form with a rational denominator.

Answers

The answer is 60 or 15 because you need to have 150 for a triangle

Solve the system using linear combinations.
–5x + y = 1
9x – 2y = 4

Answers

Multiply first equation with 2. Then add first and second, we get -x=6. X=-6 and y=-29

Answer:

(-6, -29)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-5x + y = 1

9x - 2y = 4

Step 2: Rewrite Systems

-5x + y = 1

Add 5x on both sides:                    y = 5x + 1

Step 3: Redefine Systems

y = 5x + 1

9x - 2y = 4

Step 4: Solve for x

Substitution

Substitute in y:                    9x - 2(5x + 1) = 4Distribute -2:                       9x - 10x - 2 = 4Combine like terms:           -x - 2 = 4Isolate x term:                     -x = 6Isolate x:                              x = -6

Step 5: Solve for y

Define equation:                     -5x + y = 1Substitute in x:                         -5(-6) + y = 1Multiply:                                    30 + y = 1Isolate y:                                   y = -29

100 and brainliest if you tell me ur favorite anime :]

Answers

Answer:

my fav anime is naruto :)

Step-by-step explanation:

Answer:

naruto and MHA

Step-by-step explanation:

help please. marked brainliest 15 points!!!!!

Answers

Answer:

SAS or side-angle-side because there are two congruent sides with a congruent angle between them

Step-by-step explanation:

I think it is SSS triangle congruence because if the three sides of a single triangle are congruent to the three sides of another triangle, then the triangles are congruent.

Brand A: $5 for 80 pounds of sand Brand B: $14 for 175 pound bag Which is the better buy?

Answers

Answer:

Brand A is the better buy

Step-by-step explanation:

bag Which is the better buy?

Step one

Brand A: $5 for 80 pounds of sand

Let us find the unit cost

Unit cost =5/80

=$0.0625 per pound

Brand B: $14 for 175 pound

The unit cost is

=14/175

=$0.08 per pound

On Thursday, a website received x advertisement orders. On Friday, the website received 8 more advertisement orders than on Thursday. The expression 2x + 8 represents the total number of advertisement orders received over two days.

What does the "+8" mean in the expression 2x + 8?


how many more advertisements were ordered on Friday than Thursday

the number of days

the number of advertisement ordered on Friday

the total number of advertisement on both days

I NEED HELP ASAP PLS

Answers

Answer:

What does the "+8" mean in the expression 2x + 8?

The +8 is the 8 more advertisement orders received on Friday.

It's 8 more than x.

How many more advertisements were ordered on Friday than Thursday

8

The number of days

2

The number of advertisement ordered on Friday

x + 8

The total number of advertisement on both days

2x + 8

Answer:

A

Step-by-step explanation:

I took the test

Jasmine spent $98.80 on shirts. Fancy shirts cost $22.20 and plain shirts
cost $13.60. If she bought a total of 6 then how many of each kind did she
buy?

Answers

i need help with a problem i posted on my page please help me out

The commission on the sale of a property is 4.5% of the value. What is the commission on the sale of a property that has a value of $19,500.

Answers

Answer:

$877.50

Step-by-step explanation:

1. Multiply the value by the percentage.

19,500 x 4.5% = $877.50

This is the amount of the commission.

Plz help will mark brainliest :)
(For both drop down menus)
A. An even
B. An odd
C. Neither an even nor an odd

Answers

Answer:

A.

Step-by-step explanation:

c + 5d = -13
4c - 5d = 48
Solve the simultaneous equations

c=__
d=__

Answers

c=7
d=-4
hope this helps and for you

what ordered pair is a solution to the equation y= -2/3x + 9?
(-3/2, 10), (0, 10), (-1, 10 2/3), (2/3, 10)

Answers

Answer:

(-3/2, 10)

Step-by-step explanation:

(x, y)

Set y = 10

10 = -2/3(x) + 9

x = -3/2

(-3/2, 10)

Set y = 10 2/3

10 2/3 = -2/3(x) + 9

x = -5/2

(-5/2, 10 2/3)

You can also plot the line and see which point is on the line which would be (-3/2, 10).

The ordered pair that represents the solution to y= -2/3x + 9 is: A.  (-3/2, 10)

Recall:

An ordered pair, (x, y) is a solution to a given equation if we plug the x and y values of the ordered pair and the equation remains TRUE.

Thus, plug in the ordered pair, (-3/2, 10) into y= -2/3x + 9:

10 = -2/3(-3/2) + 9

Simplify

10 = 1 + 9

10 = 10 (TRUE)

Therefore, the ordered pair that represents the solution to y= -2/3x + 9 is: A.  (-3/2, 10)

Learn more about solution to an equation on:

https://brainly.com/question/15523338

I really need help I don’t know what todo I will do anything to get the best answer.(if u do 20 I will give 100 points and brain list on next question)!!YOU DONT HAVE TO DO 19 ONLY 17 18 AND 20!!

Answers

Answer:

20.) Some charateristics to look for are "what's its leaf shape?" , "does this plant have spores?" , "does it have no leaves?" and "is it a vascular or non-vascular plant?". By naming its charateristics we can infer that it must be a fungus. This means its root system attaches to other plant roots in order to get nutrients for itself.

18.) If we observe the charateristics of the moss we might get an answer. Moss needs water in order to survive since it is the source of nutrients for the moss. The reason why the moss turned green after the rainstorm was because it got the nutrients it needed so it caused the moss to flourish again.

17.) We can use models to compare and contrast plant and fungus cells. By using evidence we can include that both the plant and fungus cells have some common characteristics, however plants are autotrophic, making their own energy, and have cell walls made of cellulose, but fungi are heterotrophic taking in food for energy and have cell walls made of chitin.

Step-by-step explanation:

if x=2+√3,then find the value of x-1/x

Answers

A :-) x = 2+_/3
x-1/x = 1/2+_/3
( rationalize the denominator )
x-1/x = 1/2+_/3 x 2 -_/3/2 - _/3
[ ( a + b ) ( a - b ) = a^2 -b^2 ]
x-1/x = 2 - _/3/( 2 )^2 - ( _/3 )^2
x-1/x = 2 - _/3/4 - 3
x-1/x = 2 - _/3/1
x-1/x = 2 - _/3
x-1/x = ( 2+_/3 ) ( 2 - _/3 )
x -1/x = ( 2 )^2 - ( _/3 )^2
( x = 2+_/3 )
x-1/x = 4 - 3
x-1/x = 1

.:. The value of x-1/x is 1 .

WILL GIVE BRAINLIEST! NEED HELP! THANK YOU
A line passes through the points (−4,−9) and (−2,−6). What is the equation of the line in Slope-Intercept Form?

y=2/3x+3

y=3/2x+3

y=3/2x−3

y=2/3x−3

Answers

Answer:

y= 3/2x-3

Step-by-step explanation:

m= y2-y1/x2-x1

m= -6-(-9)/-4-(-2)

m= 3/2

y= mx+b

y= 3/2x+b

-9=3/2*-6+b

A banquet room is being carpeted. A floor plan of the room is shown.

The carpet costs $0.50 per millimeter. How much will it cost to carpet the room? Use 3.14 for LaTeX: \piπ .Round your answer no the nearest cent.

Answers

Answer: 144.84

Step-by-step explanation:

What is the difference of the fractions? 7/8 - 5/8

Answers

Answer:

7/8 - 5/8 = 2/8. 2/8 simplified is 1/4

Step-by-step explanation:

P.S Can I have brainliest?

hi i need help for this question, what's the slope for this

Answers

Answer:

sorry for being late  :P

Step-by-step explanation:

slope = rise / run

by inspection of the graph.. it looks like the line goes over 2 units and then up one unit  so   1/2.... and b/c it's going up... like up hill.. it's positive...

+ 1/2  is the slope

t-5 for t=7 solve for t​

Answers

Answer:

2?

Step-by-step explanation:

7-5 is equal to 2

Answer:

2

Step-by-step explanation:

For what value of k does the equation 5x – 32 = kx + 3 have no solution?​

Answers

Step-by-step explanation:

5x - 32 = kx + 3

(5 - k)x = 35

This equation fails when (5 - k) = 0, or k = 5.

2/5k - 3 1/2. K= 15
EVALUATE

Answers

Exact form
K=-150\31

Answer:

Solving the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] we get [tex]\mathbf{K=\frac{-150}{31} \ or \ \ K=-4\frac{26}{31} }[/tex]

Step-by-step explanation:

We need to solve the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] and find value of k

Solving:

[tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex]

Convert mixed fraction into improper fraction

[tex]\frac{2}{5}K-\frac{7}{2}K =15[/tex]

Taking LCM of 5 and 2 we get 10

[tex]\frac{2*2K-7*5K}{10} =15\\\frac{4K-35K}{10} =15\\\frac{-31K}{10} =15[/tex]

Divide both sides by -31/10

[tex]\frac{-31K}{10}*\frac{-10}{31}=15* \frac{-10}{31}\\K=\frac{-150}{31} \\K=-4\frac{26}{31}[/tex]

So, solving the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] we get [tex]\mathbf{K=\frac{-150}{31} \ or \ \ K=-4\frac{26}{31} }[/tex]

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