Answer:
336
Step-by-step explanation:
To define whether we use permutations or combinations we must define whether or not the order in which we arrange the results matters. If the order matters we use permutations and if the order doesn't matter we use combinations.
In this case, since we are talking about the first places in a competition, order definitely does matter, so we use permutations. Also in permutations it must be indicated if repetition is allowed, in this case not because the same person cannot be in more than one place.
We use the following formula:
[tex]P=\frac{n!}{(n-r)!}[/tex]
where in this case n is the numer of swimmers and r is the number of places we are considering (1st 2nd and 3rd), which is 3 places.
n = 8
and
r = 3
thus the number of permutations is given bt:
[tex]P=\frac{8!}{(8-3)!}\\ \\P=\frac{8!}{5!} \\\\P=\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1}\\ \\P=8*7*6\\P=336[/tex]
the answer is that there are 336 ways in which the swimmers can finish in first second and third place
3.) The length of a midsegment of a trapezoid is the blank
lengths of the bases. *
Your answer for blank!
Answer:
Average
Step-by-step explanation:
If a and b are the lengths of the bases, then a+b/2 is the length of the midsegment of the trapezoid.
Ms.Thomas took her family and friends to the movies. There were a total of 16 people. Children tickets cost $6 and adult tickets costs $9. She spent a total of $129. How many adults went to the movies?
Answer: ijiijijijijijijiijij
Step-by-step explanation:
okjopunnounpoino
Will mark brianliest !!!!!!!!!!!!! Please answer correctly !!!!!!!!!!!!!
Answer:
9 is the greater x and 2 is the lesser x
Step-by-step explanation:
I really don't know how to explain without simply writing it out for you, which I really can't do. But there's the answer lol
Answer:
x = 2, x = 9
Step-by-step explanation:
Given
x² - 11x + 18 = 0
Consider the factors of the constant term (+ 18) which sum to give the coefficient of the x- term (- 11)
The factors are - 9 and - 2 , since
- 9 × - 2 = + 18 and - 9 - 2 = - 11 , thus
(x - 9)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2 ← lesser value
x - 9 = 0 ⇒ x = 9 ← greater value
determine the angle of elevation if a 7-metre tree has a 12-metre shadow
Answer:
about 30.26
Step-by-step explanation:
tan-1 7/12 = 30.26
Simplify 3(x - 2) + 5x
PLEASE PLEASE HELP ME IM SOOO CONFUSED!!!!!
( show the work MANDATORY)
WRITE EACH FRACTION AS A DECIMAL. USE A BAR TO SHOW REPEATING DECIMAL.
1.) 7/10
2.) 1/4
3.)-3/10
4.)1/8
5.) 7/30
6.) 7/11
7.)-3/5
Answer:
1=0.70 2=0.25 3=-0.30 4=0.125 5=0.233333333 6=0.636363636 7=-0.6
Step-by-step explanation:
Calculator and anything over 10, just move the decimal back one space!
What is the area of a circle with a radius of 6 inches?
9 st in?
12 x in.2
36 x in 2
81 x in 2
Answer:
A≈113.1in²
Step-by-step explanation:
Radius: 6in
Solved for area
Shape: Circle
Formula: A=πr2
1: Use the formula πr (r) to calculate the the area.
2: We are looking for the area.
3: 6 inches for radius to find the area
Answer: A≈113.1in²
Hope this helps.
Krutika and Natasha are marking exam papers. Each set takes Krutika 72 minutes and Natasha 1 hour. Express the times Krutika and Natasha take as a ratio. Give your answer in its simplest form.
Answer:
6 : 5
Step-by-step explanation:
Each set takes Krutika 72 minutes.
Each set takes Natasha 1 hour.
Let us convert that to minutes:
1 hour = 60 minutes
Therefore, expressing the times it takes Krutika and Natasha as a ratio:
72 : 60
Divide by 6
12 : 10
Divide by 2
6 : 5
The ratio is 6 : 5
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent.
Answer:
$80.63
Step-by-step explanation:
250 USD is equal to 221.41 euros. 221.41-150=71.41. 71.41 euros converted to USD is equal to 80.63 USD.
Answer: D
Step-by-step explanation:
please help for brainliest
Answer:
f = 6, g = 8
Step-by-step explanation:
The area of Δ ADE = 60 - 48 = 12 cm²
Thus
[tex]\frac{1}{2}[/tex] AD × 4 = 12, that is
2AD = 12 ( divide both sides by 2 )
AD = 6 = f
The area of ABCD = 48 cm² , thus
fg = 48 , that is
6g = 48 ( divide both sides by 6 )
g = 8
Thus f = 6 and g = 8
Solve for w. 5w + 9z = 2z + 3w w = w equals negative StartFraction 7 Over 2 EndFraction z.Z w = w equals negative StartFraction 2 Over 7 EndFraction z.Z w = –2z w = –7z
Answer:
w = -7z/2
Step-by-step explanation:
We need to solve for w in terms of z.
The equation given is:
5w + 9z = 2z + 3w
Collect like terms:
5w - 3w = 2z - 9z
2w = -7z
w = -7z/2
Answer:
option A (-7/2z)
Step-by-step explanation:
Dr. Karuza would like to send some classes on a trip to Disneyland. She explains that in order for any classses to go, 25% of the passengers must be teachers. Aniyah explains that if 4 teachers chose 24 students from 1 class to go then the teachers will be 25% of the passengers.
Do you agree or disagree with her answer?
Answer:
No, if 4 teachers chose 24 students from 1 class to go then the teachers will not be 25% of the passengers.
Step-by-step explanation:
Given: If 4 teachers chose 24 students from 1 class to go then the teachers will be 25% of the passengers.
To find: if the given statement is correct or not
Solution:
Total number of teachers = 4
Total number of students = 24
Total number of passengers = Total number of teachers + Total number of students = 4 + 24 = 28
Here,
25% of Total number of passengers = [tex]\frac{25}{100}(28)=7\neq 4[/tex]
So, if 4 teachers chose 24 students from 1 class to go then the teachers will not be 25% of the passengers.
Rewrite x2 − 8x + 13 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values. a = 4 and b = 3 a = 3 and b = 2 a = 2 and b = 1 a = 1 and b = 4
Answer:
A
Step-by-step explanation:
The completing the square method is important when transforming a quadratic equation to [tex](x - a)^2 =b[/tex] form. The values of a and b are 4 and 3
Given:
[tex]x^2 - 8x + 13 = 0[/tex]
Subtract 13 from both sides
[tex]x^2 - 8x + 13 -13= 0-13[/tex]
[tex]x^2 - 8x= -13[/tex]
-------------------------------------------------------------
Next, we perform the following operations
Take the coefficient (k) of x
[tex]k = -8[/tex]
Divide k by 2
[tex]k/2 = -8/2[/tex]
[tex]k/2 = -4[/tex]
Square both sides
[tex](k/2)^2 = (-4)^2[/tex]
[tex](k/2)^2 = 16[/tex]
Back to the equation, we add 16 to both sides
-------------------------------------------------------------
[tex]x^2 - 8x= -13[/tex]
[tex]x^2 - 8x + 16 = -13 +16[/tex]
[tex]x^2 - 8x + 16 =3[/tex]
Expand the left-hand side
[tex]x^2 - 4x -4x+ 16 =3[/tex]
Factorize
[tex]x(x - 4) -4(x- 4) =3[/tex]
Factor out x -4
[tex](x - 4) (x- 4) =3[/tex]
Express as squares
[tex](x - 4)^2 =3[/tex]
Given that:
[tex](x - a)^2 =b[/tex]
By comparison:
[tex]a =4;\ b =3[/tex]
The values of a and b are 4 and 3, respectively.
Read more at:
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(1 1/6 − 7/18 )÷2.8/0.5+ 1/18 =
h(t) = -20 + 11t; h(11)
Answer:
h(11) = -20 + 11 * 11 = 101
Answer:
h(11)=101
Step-by-step explanation:
This question asks us to find h(11).
Essentially, we need to find h(t) or y, when t, or x, is equal to 11.
h(t)=-20+11t
Therefore, we can substitute 11 in for every t.
h(11)= -20+11(11)
Solve according to PEMDAS( Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)
Multiply 11 and 11 first.
h(11)= -20 +121
Add 121 and -20
h(11)=101
Solve the following:
A) 4x-1/2=x+7
B) 3x+2=2x+13/3
C) 2x-7/4=3+x/3
Answer:
a. 2.5
b. 2.333
c. 2.85
Step-by-step explanation:
A) 1. subtract -x on both sides 2. to get 3x-1/2=7
3. Add 1/2 on both sides 4. to get 3x=7.5
5. divide 3 on both sides 6. To get... x=2.5
B)1. Same process. 2. x+2=13/3
3. x=13/3-2 4. x= 2.33(repeating)
C) 1. same process. 2. 2x-x/3=3+7/4
3. 2x-x/3=4.75 4. Isolate -x/3
5.-x/3=4.75-2x 6. multiply both sides by 3
7. -x=14.25-6x 8. 5x=14.25
9. x= 2.85
* remember to distribute the 3 to each variable.
The figure shown models a roof truss. Based on the markings, is there enough
information to prove that CED = CGD?
ANYONE KNOW THISS PLEASE IM LOST AND NEED THE ANSWERSS
No, because SSA isn't a triangle congruence theorem. Therefore, option A is the correct answer.
Given that, the figure shown models a roof truss. Based on the markings, is there enough information to prove that ΔCED≅ΔCGD.
What is the congruence of a triangle?Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
In the ΔCED and ΔCGD
DE=DG (Given)
∠CED=∠CGD (Given)
CD=CD (Common)
SSA congruence is not valid.
No, because SSA isn't a triangle congruence theorem. Therefore, option A is the correct answer.
To learn more about the congruence of a triangle visit:
https://brainly.com/question/20521780.
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find the value of x part 3
Answer:
x= 14
Step-by-step explanation:
Please see the attached picture for the full solution.
*First step is base angles of triangle ABC
solve
−2(x−7)+3(x+5)=x+9
Answer:
no solutions
Step-by-step explanation:
−2(x−7)+3(x+5)=x+9
Distribute
-2x +14 +3x +15 = x+9
Combine like terms
x + 29 = x+9
Subtract x from each side
x+29 -x = x+9-x
29 = 9
This is never true so there are no solutions
Answer:
It is wrong Problem
Step-by-step explanation:
-2x+14+3x+15=x+9
x+29=x+9
????
The first three towers in a sequence are shown. The nth tower is formed by stacking n blocks on top of an n times n square of blocks. How many blocks are in the 99th tower?
Answer:
The 99th tower contains 9900 blocks.
Step-by-step explanation:
From the question given, we were told that the nth tower is formed by stacking n blocks on top of an n times n square of blocks. This implies that the number of blocks in n tower will be:
n + n²
Now let us use the diagram to validate the idea.
Tower 1:
n = 1
Number of blocks = 1 + 1² = 2
Tower 2:
Number of blocks = 2 + 2² = 6
Tower 3:
Number of blocks = 3 + 3² = 12
Using same idea, we can obtain the number of blocks in the 99th tower as follow:
Tower 99:
n = 99
Number of blocks = 99 + 99² = 9900
Therefore, the 99th tower contains 9900 blocks.
Entre Amaya y Alberto tienen 5€ entre Alberto y Rosa tienen 10€ sabiendo que Amaya tiene 2,70€ ¿cuanto tiene Rosa?
Ani will put this in a translator
Step-by-step explanation:
What is the next number in the pattern
2,4,8,16,32....
Answer:64
Step-by-step explanation: because 2 multiplied by 2 is 4 four multiplied by 2 is eight as the pattern continues 32 multiplied by 2 is 64.
Answer:
2+2=4
4+4=8
8+8=16
16+16=32
32+32=64
Seaside Bike Rental Shop charges a $13 fee plus $7 per hour to rent a bike. Chris paid $62 to rent a bike. How many hours did he pay for?
Answer:
7 hours
Step-by-step explanation:
(62-13)/7=7
Find the perimeter of the following figure.
x + 13
3x + 2
8
2
X + 5
Answer:
5x+30
Step-by-step explanation:
simply add each side together:
(x+13)+(3x+2)+8+2+(x+5)
=5x+30
I have two fair spinners. The first has the numbers 1, 2, 3 and 4. The second has the numbers 2, 3, 4 and 5. I spin both spinners and multiply the scores. What is the probability that the number I get is odd?
Step-by-step explanation:
There are 4 * 4 = 16 outcomes from spinning these spinners. You get an odd number by multiplying an odd number by an odd number. Since there are 2 odd numbers on both spinners the successful outcomes are 2 * 2 = 4 so probability is 4 / 16 = 1 / 4.
The picture below has all the questions I need assistance with.
Answer:
11) D, 12) D
Step-by-step explanation:
if you do the math it works
Find the volume of the rectangular prism. Express your answer as a simplified mixed number.
Answer:
414 9/16 m³
[tex]414\frac{9}{16}m^{3}[/tex]
Step-by-step explanation:
The volume of a Rectangular prism is calculated as Length × Width × Height
From the attached diagram,we can see that
The length = 8 3/8 m
The width = 6 m
The height =8 1/4 m
Converting the mixed fraction to improper fraction in other to simplify it better
The length = 67/8 m
The height = 33/4 m
The volume of the rectangular prism =
67/8 m × 6m × 33/4m
= (13266/32)m³
= 6633/16 m³
= 414 9/16 m³
= [tex]414\frac{9}{16}m^{3}[/tex]
3. How many square inches of crust would it take to cover the
bottom of a pie dish with a 15 inch diameter?
Answer:
Using the area of a circle equation (shown in work) the answer should be 176.71cm^2
Step-by-step explanation:
If ∠a = 35°, what does ∠b equal?
These are complementary angles.
If two angles are complementary, then
the sum of their measures is 90°.
Since we know that one of the angles measures 35°, we can find the measure of the other by taking 90 minus the measure of the original angle which in this case is 90 - 35.
So we have 90° - 35° which is 55°
So the measure of the other angle is 55°
La mama de maximo le pidio que fuera a la tienda dijo que comprara 0.5 litros de leche, el dueño de la tienda le dijo que solo tenia leche en envases de ½ litros ¿Es mas, menos o igual a la capacidad que le pidió su mama?
Answer:
1/2 litros es igual a la capacidad que le pidió su mamá.
Step-by-step explanation:
Para encontrar la respuesta debes escribir 0.5 como fracción. Para hacerlo, el numerador es el número original sin el punto decimal y para definir el denominador debes determinar cuántos digitos decimales tienes. En este caso, el número tiene un dígito decimal, por lo cual el denominador es 10. De acuerdo a esto:
0.5 se escribiría como [tex]\frac{5}{10}[/tex] y esta fracción se puede simplificar porque los dos números son divisibles entre 5:
5/5= 1
10/5= 2
Por esto, 0.5= [tex]\frac{1}{2}[/tex]
Esto significa que 1/2 litros es igual a la capacidad que le pidió su mama.