Using the combination formula, it is found that there are 99768240 ways in which they can travel.
The passenger seat positions are not important, which means that the order is not important, which is why the combination formula is used.
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:
In the first car, 7 of the 20 friends are going to sit.In the second, 5 of the remaining 13 are going to sit.In the bus, the remaining 8.The, the number of ways is given by:
[tex]N = C_{20,7}C_{13,5}C_{8,8}[/tex]
[tex]N = \frac{20!}{7!13!} \times \frac{13!}{5!8!} \times \frac{8!}{0!8!} = 99768240[/tex]
There are 99768240 ways in which they can travel.
A similar problem is given at https://brainly.com/question/24437717
How do i get 51 with the numbers 5, 6, 7, 8? Must use all of the numbers and only can use addition, subtraction, multiplication, or division.
Answer:
(8-5)*(6+7+(8-6)+(7-5))
Step-by-step explanation:
By using the digits in a way of (8-5)×(6+7+(8-6)+(7-5)) we get 51.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, we have to get a result of 51 using the digits 5, 6, 7, 8 and must use all of the numbers and only can use addition, subtraction, multiplication, or division this can be formed as,
51 = (8-5)×(6+7+(8-6)+(7-5))
learn more about numerical expressions here :
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drake is making capes he used 1/3 yard of fabric for each cape he makes what is the total amount of fabric drake needs to make 96 capes FOR 100
What is the value of the 3 in this number?
is the value of this number.
Answer:
3?
Step-by-step explanation:
4(y-2)=-0.6(y+0.3 what is the answer and how to do it
Answer:Solution for 0.3(y-2)+0.4y=0.3y-0.6 equation:
0.3(y-2)+0.4y=0.3y-0.6
We move all terms to the left:
0.3(y-2)+0.4y-(0.3y-0.6)=0
We add all the numbers together, and all the variables
0.4y+0.3(y-2)-(0.3y-0.6)=0
We multiply parentheses
0.4y+0.3y-(0.3y-0.6)-0.6=0
We get rid of parentheses
0.4y+0.3y-0.3y+0.6-0.6=0
We add all the numbers together, and all the variables
0.4y=0
y=0/0.4
y=0
What is 83,505 in expanded form
Answer:
83505
Step-by-step explanation:
It's already in the expanded form...
What is the value of 5c + 2, if c= 6
To evaluate the expression, we will need to plug in a 6 everywhere there is a c.
5c + 2
5(6) + 2
30 + 2
32
Hope this helps!! :)
(2x-1)(x+3)-(x+3)(x-3)=x+2
Answer:
x = -2
Step-by-step explanation:
( 2x - 1 ) ( x + 3 ) - ( x + 3 ) ( x - 3 ) = x + 2
Expand
x^2 + 5x + 6 = x + 2
x^2 + 5x + 6 - 2 = x + 2 - 2
x^2 + 5x +4 = x
x^2 + 5x + 4 - x = x - x
x^2 + 5x + 4 = 0
-4 / 2 = -2
x = -2
How do you write f(x)=|x-7| as a piece wise function
Answer:
f(x) = { x+9 x ≥ − 9
-x -9 x < -9
What is the image of (8,6)(8,6) after a dilation by a scale factor of \frac{1}{2}
2
1
centered at the origin?
The image of the point (8, 6) dilated by a scale factor 1/2 is (4, 3)
The given point is (8, 6)
The scale factor of dilation = 1/2
To dilate a given point (x, y) by a scale factor m, multiply each of the coordinates (x, y) by m
The image = (mx, my)
For the point (8, 6) dilated by 1/2, the image will be calculated as shown below:
[tex](\frac{1}{2}\times 8, \frac{1}{2} \times 6)\\= (4, 3)[/tex]
The image of the point (8, 6) dilated by a scale factor 1/2 is (4, 3)
Learn more here: https://brainly.com/question/16596053
Pls help me with this question!!!!
Answer:
The answer is A
Step-by-step explanation:
work out the value of 3^2 + 2^3
Answer:
17
Step-by-step explanation:
3² + 2³
= 9 + 8
= 17
Answer:
3/2 can be written as 3*1/2.
Now in 3*1/2 apply PEDMAS
3*0.5
Now multiply 3 with 0.5
The answer is 1.5…
3/2 means half of a three that is 1.5…it is fraction form of 1.5…
Step-by-step explanation:
What is the value of x?
Answer:
x=50
Step-by-step explanation:
2x+20=3x-30
2x-3x=-x
20+30=50
-x+50=0
-x=-50
x=50
The value of q is the ____ intercept of y= ax^2 +q The q value moves the graph ____ units ____or______ and has ______ on the ________of the parabola. The value of q causes a ____ shift of the parabola. The value of q causes a _____ shift of the graph.
Answer:
See belowStep-by-step explanation:
Since no drop-downs are given, I'll guess and add the most suitable words for you.
The value of q is the y- intercept of y= ax^2 +q.
The q value moves the graph q units up or down and has (no option, could be shift) on the graph of the parabola.
The value of q causes a vertical shift of the parabola. The value of q causes a vertical shift of the graph.
Atul, Bryony and Charlotte share an amount of money in the ratio 4:11:10
What fraction of the money does Bryony get?
4 + 11 + 10 = 25.
Assuming Bryony is the middle number, she gets 11/25 fraction of the money.
Plz help look at the photo
Answer:
Its really blurry, what does it say?
Step-by-step explanation:
What are the corresponding parts of the figures below? Select all that apply.CBAFGE76°44°60°76°44°60°45 km50 km35 km45 km50 km35 km
Answer:do your self it is easy
Answer number 8 thank you(;´༎ຶٹ༎ຶ`)
Answer:
a. Rosemarie has 16 grandchildren.
b. Each grandchild would receive $0.50 or 50 cents.
Step-by-step explanation:
a. There are 4 sons, and each son has 4 children.
Son 1: 4 children
Son 2: 4 children
Son 3: 4 children
Son 4: 4 children
So you can find the total number of grandchildren by adding up the amount of children each of the sons have: 4 + 4 + 4 + 4 = 16
Rosemarie has 16 grandchildren.
b. If the are $8 total, and it is split equally between Rosemarie's sons, it means each son would get $2 (because $8 / 4 sons = 2).
And then each son would split it between his 4 kids. So $2 / 4 kids = $0.50
Each grandchild would receive $0.50 or 50 cents.
please answer this question with full explanation
In the given figure find out the value of x and y ?
Given info:
all sides are equal in the given triangle
It is an equilateral triangle all angles are equal and each angle is equal to 60°Given angles are 3y° and 2x°
→ 3y° = 2x° = 60°
→ 3y° = 60° and 2x° = 60°
→ y° = 60°/3 and x° = 60°/2
→ y° = 20° and x° = 30°
Therefore, x° = 30° and y° = 20°
Answer:-
The values of x = 30° and y = 20°
Key Knowledge:-
→ If all sides are equal in a triangle then it is an equilateral triangle
In an equilateral triangle,
→ all sides are equal.
→ all angles are equal.
→ all angles are equal to 60°
Hope this helps!!
This is the Length of Arc....pls. try to answer.
Answer:
75 cmmmmmmmmmmmmmmmmmm
Which expression can be used to find the surface area of the following square pyramid?
Answer:
A = L + B = a2 + a√(a2 + 4h2))
Step-by-step explanation:
Two fifth of pupils in a standard 7 class were girls.There were 27 boys in the class. ( a) how many girls were there. (b) how many peoples were there in the standard 7 class
Answer:
a. 18
b. 45
Step-by-step explanation:
The question states that 2/5 of the class are girls which means 3/5 are boys:
[tex]\frac{3}{5} = 27[/tex]
Divide this value by 3 to get the value of [tex]\frac{1}{5}[/tex]:
27 ÷ 3 = 9
Multiply this by 5 to find [tex]\frac{5}{5}[/tex], the total pupils in the class:
9 x 5 = 45
As the number of girls is [tex]\frac{2}{5}[/tex] of the total pupils:
9 x 2 = 18
So there are 18 girls in the class which has a total pupil size of 45.
Hope this helps!
Step-by-step explanation:
according to question of ⅖ are girls than ⅗ are boys
so let the number of girls be x
so,
→ ⅗ of x = 27
→ x = 27 × 5/3 = 9×5 = 45
→ x = 45
a ) 45 - 27 = 18
than no. of girls is 18.
b) thier are 45 students in total.
hope this answer helps you dear...take care and may u have a great day ahead!
Please help!! I'm struggling so bad with this!!
Answer:
Step-by-step explanation:
25.
Statement / Reason
AB ≅ CD / given (side)
<ABD ≅ <CDB /given (angle)
BD ≅BD / reflexive property (side)
ΔABD ≅ Δ CDB / SAS theorem of triangles congruency
26.
Statement / Reason
< P ≅ < T / Given (angle)
PR ≅TR / Given (side)
< PRQ ≅< TRS / Vertical angles are congruent (angle)
ΔQPR ≅ΔSTR / ASA theorem of triangles congruency
28.
Statement / Reason
AB ≅ ED / Given (side)
< A ≅ < D / Given (angle)
<ASB ≅ <DCE / Vertical angles are congruent (angle)
ΔABC ≅ΔDEC / SAA theorem of congruency
30.
Statement / Reason
PS ≅ QR / Given (side)
PQ ≅ SR / Given (side)
PR ≅ PR / Reflexive propriety (the line segment is congruent with itself) (side)
ΔPSR ≅ ΔPQR / SSS theorem of congruency
31.
Statement / Reason
< M ≅ < L / Given (angle)
MK ≅ LK / JN bisects ML is given and by definition a line segment bisector forms two congruent parts. (side)
<MKJ ≅ <LKN / vertical angles are congruent (angle)
ΔMJK ≅ΔLNK / ASA theorem of triangles congruence
Which of the numbers below correctly represents (-1)17?
Answer:
Step-by-step explanation:
https://answer.ya.guru/questions/6481809-which-number-line-correctly-represents-the-irrational-numbers.html
Answer:
i dont know because you didnt give number but is one -17 is so its that
Step-by-step explanation:
error error error error
Answer:
I really like helping people so can you take this app more seriously ..?
Step-by-step explanation:
Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
The equation x² - 4 = 0 and 4x² = 16 have roots of x = -2 and 2 so option 1st and 4th are correct.
What are the roots of an equation?Roots of an equation are the solution of that equation, since an equation consists of hidden values of the variable so to determine them by different processes and then the resultant is called roots.
For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.
The number of roots of an equation depends on the degree of the equation for example number of roots of quadratic equation are 2.
Given the roots
01)
x = -2
square both sides
x² = 4
x² - 4 = 0
02)
x = 2
Square both sides
x² = 4
Multiply by 4 on each side
4x² = 16
Hence "The equation x² - 4 = 0 and 4x² = 16 have roots of x = -2 and 2".
To learn more about the roots of equation,
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[tex]\sf 500+60+70[/tex]
............... that just 630
Suppose that a plumbing repair bill, not including tax,
was $130. This included $25 for parts and an amount
for 2 hours of labor. Find the hourly rate that was
charged for labor.
find midpoint of (7,-3) and (15,-8)
Answer:
{0.5(7+15),0.5(-3-8)}
Step-by-step explanation:
(0.5(sum of x values),0.5(sum of y values))
Quadratic shifted left by
1 unit vertical stretch by a
factor of 1.
Answer:
1(x+1)^2
Step-by-step explanation:
