Find the number of ways of arranging N people in a straight line, if two particular people must always be separated.
Answer:
It’s the number of ways N people can be arranged in a straight line without restriction minus the number of arrangements in which the 2 people are together.
The number of ways N people can be arranged in a straight line without restriction = N!
The number of arrangements in which the 2 people are together = the number of possible positions for the left-hand person multiplied by the number of people who can be that person, multiplied by the number of possible arrangements for the other N - 2 people
= (N - 1) * 2 * (N - 2)!
= 2 (N - 1)!
So the number of ways N people can be arranged in a straight line if 2 particular people must be separated = N! - 2(N - 1)!
Greg gives pepper a 12 second head start in a 2km race. If Greg runs at 5km/minute and pepper runs at 3km/minute. Who will win the race and buy how many second
I’d like a formula that i can use to these questions thanks :)
Answer:
greg, 4 seconds
Step-by-step explanation:
find how long it takes each person to run 2km first.
distance/speed:
pepper: 2/3 *60(seconds)=40 secondsGreg: 2/5 *60= 24 seconds40-12=28 seconds, pepper will take 28 seconds to finish the race from the time greg starts. greg will win by 4 seconds
The chorus sang for 27 minutes. If each song lasted an average of 4 1/2 minutes, how many songs did the chorus sing?
Answer:
6 songs
Step-by-step explanation:
27 divided by 4 1/2 or 4.5 equals 6 which mean they sang six songs.
Answer:
6, because 4.5 fits into 27 6 times.
The common factor of 24aᴧ3bᴧ4, 36aᴧ4cᴧ4 and 48aᴧ3bᴧ2c is: pls don't spam sisters and brothers
(≧▽≦)( ◜‿◝ )♡
Answer:
The common factor is 12a³
Step-by-step explanation:
[tex] {24a}^{3} {b}^{4} , \: 36 {a}^{4} {c}^{4} , \: 48 {a}^{3} {b}^{2} c[/tex]
each term got a factor:
[tex] = 12 {a}^{3} [/tex]
At a small private college 9 / 20 of the students are female if there are 2160 female students how many male students
Answer:
4800
Step-by-step explanation:
x is the number of total students
x * 9/20 = number of female students
x * 9/20 = 2160
Multiply each side by 20/9
x * 9/20 * 20/9 = 2160 * 20/9
x =4800
Using the graph of f(x) below, evaluate f(-2) and f(0)
Suppose y varies directly as x, and y = 9 when x = 36. Find y when x= 100.
Answer:
25
Step-by-step explanation:
let x = 36
y = 9
x2 = 100
y2 = y2
y : x :: y2 : x2
We know,
Product of means = Product of extremes
That is,
y(x2) = x(y2)
Substituting the values,
9(100) = 36(y2)
=> 36(y2) = 900
=> y2 = 900/36
=> y2 = 25
so when x = 100, y =25
HOW MANY DEGREES IN A COMPLIMENTARY ANGLE???
90 degrees
pls give me brainliest
URGENT #2 !!!!!!!!!!!!
The value of a12 is:
2
0
1
can't be done
Answer:
Here is your answer
Hope it helps
Which property is 5+ a = a + 5 ?
Select one:
O a. Commutative Property of Addition
O b. Identity Property of Addition
O c. Commutative Property of Multiplication
O d. Inverse Property of Addition
Answer:
[tex]commutative \: property \: of \: addition \\ thank \: you[/tex]
Math For test help plz due in 45 mins
[tex]\huge{\underline{\underline{\mathfrak{\red{Answer}}}}}[/tex]
3rd one✓✓
A) give a verbal description of the subset of real numbers represented by the inequality or the interval, B) sketch the subset on the rest of real number line, and C) state whether the interval is bounded or unbounded
An inequality is an expression which makes comparison between unequal expressions i.e. both sides of the inequality sign are not equal.
The verbal description of [tex]x > 5[/tex] is the set of all real numbers greater than 5 The interval is bounded (right bounded to be precise)The inequality is given as:
[tex]x > 5[/tex]
[tex]x > 5[/tex] means x greater than 5
So, the verbal description is as follows:
The set of all real numbers greater than 5
To sketch [tex]x > 5[/tex] on a number line, we consider the following:
> means greater than; so, the arrow on the number line must point to the right[tex]> 5[/tex] implies that the arrow must start on 5> also implies that the circle on 5 must be an open circleSee attachment for the sketch
To determine if the interval is bounded or not, we do the following.
[tex]x > 5[/tex] means that the x starts at a value greater than 5, and the value of x has no end.
This is represented as: [tex](5,\infty)[/tex]
Notice that 5 is at the right, while [tex]\infty[/tex] is at the left.
This means that the interval is bounded (right bounded to be precise)
Read more about inequalities at:
https://brainly.com/question/17194874
The perimeter of rectangle is 84 feelthe length of the rectangle is twice its width, what are the dimensions (length and width) of the rectangle?
Answer:
Length = 28
Width = 14
Step-by-step explanation:
14 + 28 = 42
42 x 2 = 84
28 / 14 = 2
What is the value of x in the equation 3x-4y=65, when y=4?
x=131
x x=21
X =23
X = 27
Answer:
27
Step-by-step explanation:
Answer:
27
The value of "y" has been given to be 4
Then, substitute it has I've done in the image sent
Which expression is equal to (x + 3)2?
A. x2 + 6
B. 2 +9
C. x2 + 6x + 9
D. 12 + 3x + 9
Answer:
C. x^2 + 6x + 9
Step-by-step explanation:
(x+3)^2
using formula (a+b)^2= a^2 + 2ab + b^2,
(x)^2 + 2(x)(3) +(3)^2
=> x^2 + 6x + 9
Answer:
A
Step-by-step explanation:
(x)×2= 2x
(3)×2=6
x2 + 6....
Autumn bought a square frame for her desk that has an area of 361 square units.
What is the perimeter of the frame?
A __________ is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.
Answer:
A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.
Step-by-step explanation:
hope that it helped you
Tomás found the following prices when he was shopping for sports jerseys: $28, $36, $40, $30, and $28. What is the median price?
Answer:
$30
Step-by-step explanation:
To find the median, arrange numbers from smallest to largest
The # of data points in this scenario are 5, which is odd. If the # of data points is odd, the median is the data point in the center.
$28, $28, $30, $36, $40
if you wanted to find the median with an even # of data points, it's the average of the two middle data points.
The median price of the sport jerseys is : $30
Given the prices :
$28, $36, $40, $30, $28
To find the median price, we need to arrange the values in order :
Ordered prices = $28, $28, $30, $36, $40
The median formula = 1/2(n+1)th term
n = number of terms = 5
Hence,
Median price = 1/2(5 +1)th term
Median price = 1/2(6) = 3rd term
The 3rd term = $30.
Hence, the median price is $30
Learn more : https://brainly.com/question/300591?referrer=searchResults
|6a-5|=4a
the solutions are a= and a=
Answer:
a = 2.5, a = 0.5
Step-by-step explanation:
6a - 5 = 4a, and 6a - 5 = -4a
6a -5 = 4a
Subtract 6a from both sides
-5 = -2a
a = 2.5
6a - 5 = -4a
Subtract 6a from both sides
-5 = -10a
a = 0.5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
a=1/2 and a=5/2
Step-by-step explanation:
6a-5=4a:
Subtract 4a from both sides, ending up with 2a-5=0
Add 5 to both sides, ending up with 2a=5
Divide both sides by 2, ending up with a=5/2
6a-5=-4a
Add 4a to both sides ending up with 10a-5=0
Add 5 to both sides ending up with 10a=5
Divide both sides by 10 ending up with a=1/2
In conclusion, there are two possible solutions to the equation; 1/2 and 5/2
Claire is c years old now. In 6 years' time she will be 18.
Answer:
12
Step-by-step explanation:
she is now 12 years old.how easy question.
the marked price of a watch is rs 2700.If allowing 2V% discount on the marked price and adding V% vat, the value of the watch will be rs 2376.Find the rate of vat.
Find the volume of the triangular prism as pictured below with a = 10 cm,
b = 9 cm, and h = 8 cm. Do not include units in your answer.
a
Answer here
SUBMIT
Help!
Answer:360
Step-by-step explanation:
If we have 38 lambs born this spring at an average value of $125 each, what is the total value of the spring lamb
crop?
Answer:
$4,750
Step-by-step explanation:
All we need to do is multiply both values.
38 * 125 = $4,750
Best of Luck!
please help me I need it for my homework
What is the answer to the green box?
The bacteria increases 90% the formula adds the percentage, as a decimal to the 1.
The answer would be 0.90
9. Select one of the factors of 3x + 4x -4.
(x+4)
b. (3x+2)
a.
c.
(3x-2)
a (x-2)
Answer:
hi
Step-by-step explanation:
mad
Tamara owes her father $56.
She earned $20 for walking
dogs over the weekend and
gave the money to her
father. What is her balance
now?
Answer:
the balance is 56$
Step-by-step explanation:
its still 56$ because there isn't anything mention to tamara has buy something so he doesnt lose any money.
Determine whether each relation is a function
Please help I dont wanna fail math this year
Thanks
(I am in Algebra 1 btw)
The segments shown below could form a triangle? True or False
Answer:
FALSE
Step-by-step explanation:
Use the Pythagorean theorem to check.
4²+3²=6² ?
16+9=36?
25≠36
Two rules for creating a pattern are given below. Each rule begins with a number called the input and
creates a number called the output.
Rule 1: Increase the input by 4 to get the output.
Rule 2: Multiply input by 2. Then subtract 1 to get the output.
Which input and output table works for both rules?
Choose 1 answer:
Input
Output
5
9
Input
Output
10
14
Input
Output
8
15
Answer:
A
Step-by-step explanation:
Table A
input is 5 and output is 9
Using the 2 given rules
Increase the input by 4 to get output , then
5 + 4 = 9 ← correct output
Multiply input by 2 and subtract 1 to get output , then
2 × 5 - 1 = 10 - 1 = 9 ← correct output
Table A works for both rules