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
Rational numbers that are not intergers
Answer:
This includes numbers that are not whole numbers (+ or -). For example, 6.79, 20,193.917017, 4/25, etc.
find the y intercept
y = 3/4x - 4
Please help me with this from 1 to 10
Answer:
2. makes
3. had wanted
4. are deciding, get
5. are going
6. ate
7. will be traveling
8. are
9. asked
10. lose
Answer:
2. Wanted
3. Wants
4. Decides and Get
5. Went
6. Ate
7. Are Traveling
8. Are
9. Asks
10. Lost
Step-by-step explanation: What grade are you in??
simplify the following surd expressions a) 9√3 - 4√3 + √5 + 2√5 b) 10√2 + 4√7 - 6√2
Answer:
[tex]a)\:5\sqrt{3}+3\sqrt{5}[/tex]
[tex]b)-6\sqrt{2}+4\sqrt{7}[/tex]
Step-by-step explanation:
[tex]a)\:9\sqrt{3}-4\sqrt{3}+\sqrt{5}+2\sqrt{5}[/tex]
We need to combine like terms:
[tex]9\sqrt{3}-4\sqrt{3}[/tex]
[tex]=5\sqrt{3}[/tex]
[tex]\sqrt{5}+2\sqrt{5}[/tex]
[tex]=3\sqrt{5}[/tex]
[tex]5\sqrt{3}+3\sqrt{5}[/tex]
__________________
Combine like terms:
[tex]b)\:0\times \sqrt{2}+4\sqrt{7}-6\sqrt{2}[/tex]
[tex]0\cdot \sqrt{2}-6\sqrt{2}[/tex]
[tex]=-6\sqrt{2}[/tex]
[tex]-6\sqrt{2}+4\sqrt{7}[/tex]
____________________
HELP, PLEASE HELP ME
Convert the following.
15, 000 m² =________hectare
2.5 hectares =_______m²
Answer:
15,000 m²= 1.5 hectares
2.5 hectares= 25, 000 m²
Step-by-step explanation:
Sana makatulong
Solve the proportion. If necessary, round to the nearest hundredth.
Answer:
......the right answer is 12
to what power must you raise the expression 7^1/2 to get 7 as the result?
Answer:
2
Step-by-step explanation:
(7^1/2)^2=7^(1/2*2)=7
Need help ASAP! Directions in picture;)
Answer:
x=94/5
Step-by-step explanation:
10x-8=180
10x=188
x=188/180
x=94/5
⚠️⚠️Please help⚠️⚠️ Pip and Ali share S785 in the ratio Pip:Ali = 4:1.
Work out Pip's share.
==========================================================
Work Shown:
x = Ali's share
4x = Pip's share, because it is four times bigger due to the ratio 4:1
x+4x = 5x = total amount of money = 785
5x = 785
x = 785/5
x = 157 dollars is Ali's share
4x = 4*157 = 628 dollars is Pip's share
Note that 157+628 = 785 to help confirm the answer.
Solve for x please and thank you
Answer:
x = 3
Step-by-step explanation:
40+ 46x + 2 = 180 degrees
46x = 180 - 42
x = 3
Answer:
46x+2°+40°=180° (adj angles on a str line)
46x+42°=180°
46x=180°-42°
=138°
x=138÷46
=3
Workout the picture below
Answer:
4 times
Step-by-step explanation:
Area of circle A
[tex]\pi \times {r}^{2} = area \: of \: a \: circle \\ \pi = 3.14 \\ 3.14 \times {8}^{2} \\ 3.14 \times 64 = 200.96 \: {cm}^{2} [/tex]
Area of circle B
[tex]\pi\times 4 (because \: radius \: is \: the \: half \: of \: diameter) \\ 3.14 \times 4 square = 50.24\: {cm}^{2} [/tex]
How many times larger is the area of circle A than circle B
[tex]200.96 \div 50.24 = 4[/tex]
therefore circle A is 4 times larger than circle B in accordance with its area
How many liters of a 50% acid solution must be mixed with a 30% acid solution to get 180 L of a 40% acid solution?
____ liters of a 50% acid solution must be used.
Answer: 90
Step-by-step explanation:
Given: 5n - 42 = 12n; Prove: n = -6
Statements and reasons
Answer:
yes n is -6
Step-by-step explanation:
b/c 5(-6)-42=12(-6)
-30-42=-72
-72=-72
The perimeter of a triangle is 17x−5 units. One side is 3x+5 units and another is 8x−3 units. How many units long is the third side?
Answer:
17x−5 =85 3x+5 =15 8x-3= -24 here you can use this to find your awnser
Step-by-step explanation:
Find the distance between (-6,-1) and (4,-5)
2,889 mi
Distance from South Atlantic Ocean to Gulf of Guinea
What is Prefix? ︎︎ ︎︎ ︎︎ ︎︎
Which of the following is true?
Answer: C
Step-by-step explanation: I hope its right mark me brainliest plss
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is :
FG is an altitude of Triangle EFHHmm anyone can solve this is cool, (and will earn a peppermint)
Bill tax: $56
Your Money: $16
(What’s the decrease of money you paid for your tax)
115 - 12
4
-21 + 9
2) Simplify:
1-2811
A. -24
3
B.
4
C.
3
4
1
D. 2
4
Answer:
by my calculator I got 2.25
What is the value of 7r + 6(r + 2s) when r = 4 and s = 2?
Answer:
76
Step-by-step explanation:
7(4)+6(4+2(2)
28+6(8)
28+48 it gives 76
solve the inequality. 1/2x > 7
Answer:
x>14
Step-by-step explanation:
Answer:
[tex] \frac{1}{2} x > 7[/tex]
[tex]x > 7 \div \frac{1}{2} [/tex]
[tex]x > 7 \times 2[/tex]
[tex]x > 14[/tex]
solve this table
will give brainliest
Answer:
For linear function, top to bottom, it's:
f(x)
b
a
x
For mathematical meaning, top to bottom, it's:
output value of an equation
y-intercept
slope or common difference
input value of an equation
Step-by-step explanation:
How many cups of water are needed for 12 cups of flour?
2 CUPS OF WATER FOR 3 CUPS OF FLOUR
SO 1 CUP = 1.5 water
SO MULTIPLY AND FIND THE ANSWER
Question is in the photo.
5. Three of the vertices of rectangle ABCD are given. Find the coordinates
of point D. Find the value of the variable.
A(3,6), B(6, 7), C(6,3), D(x, y)
PLEASE HELP RN, I need a lot of help on this very hard math homework
Answer:
[tex]6^{2}[/tex]
Step-by-step explanation:
Use power rules.
[tex]\frac{6^{7} }{6^{5} }[/tex]
[tex]6^{7-5}[/tex]
[tex]6^{2}[/tex]
Another way of solving in which the 6s on the numerator cancel with the 6s on the denominator:
[tex]\frac{6*6*6*6*6*6*6}{6*6*6*6*6}[/tex]
[tex]\frac{6*6}{1}[/tex]
6*6
[tex]6^{2}[/tex]
Find the length of the third side. If necessary, write in simplest radical form.
Answer: [tex]3\sqrt{3[/tex]
Step-by-step explanation: use pythagorean theorem to solve this. which is a^2 + b^2 = c^2
lets say b=3 and c=6. plug this into the equation. (6)^2 - (3)^2 + = 36 - 9 which is 27 = c^2. to get c from c^2, square root the c^2 value
the square root of 27 is [tex]3\sqrt{3[/tex] in simplest radical form
The slope of the line is 0. It passes through the point (-3,4). Identify two other points on the line. Justify you answer
Answer:
Two other points: (2, 4) (6, 4)
Step-by-step explanation:
A line with a slope = 0 is a horizontal line [with a y-intercept of (0, b)], given by the linear equation, y = 4. This means that the y-coordinate will always equal to 4, regardless of its corresponding x-coordinate. Basically, we could choose any x-coordinate to pair with the y-coordinate of 4.
I chose the ordered pairs, (2, 4) and (6, 4).
Attached is a screenshot of the graphed linear equation, y = 4.
5/3y=-(x-5) the slope intercept
Answer:
y = - [tex]\frac{3}{5}[/tex] x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
[tex]\frac{5}{3}[/tex] y = - (x - 5) ← distribute parenthesis
[tex]\frac{5}{3}[/tex] y = - x + 5 ( multiply through by 3 to clear the fraction )
5y = - 3x + 15 ( divide terms by 5 )
y = - [tex]\frac{3}{5}[/tex] x + 3 ← in slope- intercept form