Answer:
117600
Step-by-step explanation:
50 x 49 x 48 = 117,600 ways
You have 50 possible for 1st, 49 for 2nd, 48 for 3rd
or
Permutations 50P3 = 117,600
There are total 59280 ways that can the runners finish first, second and third in a race.
What is permutation?
A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
Formula for permutation[tex]nP_{r} =\frac{n!}{(n-r)!}[/tex]
Where,
[tex]nP_{r}[/tex] is permutation.
n is total number of objects.
r is number of objects selected.
According to the given question
Total number of runners, n = 40
Total number of runners to be selected for first, second and third position is 3 i.e. r = 3
Therefore,
The number of ways can the runners finish the first, second and third is given by
[tex]40P_{3} = \frac{40!}{((40-3)!} =(40)(39)(38)=59280[/tex]
Hence, there are total 59280 ways that can the runners finish first, second and third in a race.
Learn more about Permutation here:
https://brainly.com/question/2295036
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> The cost of a popsicle at the snack stand is $0.75. Let p represent the number of popsicles and c represent total cost. Use an equation to represent the relationship between the numbers of popsicles bought and the total cost. Type your answer below.
This is what my previous tutor sent, that I don’t understand:
popsicles price: p = 0.75
c = cost
x = number of popsicles bought.
cost = popsicle price * number bought
c = p * x
c = 0.75x
Answer:
SWE
Step-by-step explanation:
What is the common difference for the arithmetic sequence?
-5, -1, 3, 7, ...
A. 6
B. -4
C. -6
D. 4
Answer:
d. 4
Step-by-step explanation:
the numbers in the sequence keep increasing by a unit of 4.
-5 + 4 = -1
-1 +4 = 3
3 + 4 = 7
Answer:
B -4
Step-by-step explanation:
whats 76x168 + 69+87=
Answer:
12,924
Step-by-step explanation:
76x168= 12,768
and...
69+87= 156
now we add them together...
12,768+156= 12,924
Hope this helped you- have a good day bro cya)
682 x 257 plz heeellllp
HELP ASAP!!!!! If the big triangle below has an area of 20 m squared what does x equal
Answer:
[tex]20 = (x + 1) \times 10 \times 0.5 \\ = 5 \times (x + 1) \\ x + 1 = 20 \div 5 = 4 \\ x = 4 - 1 = 3 \\ enjoy \: it[/tex]
What is 10 minus 1.5 i will mark branliest if you show woking out like collum method pls show IT
Answer:
[tex]17/2[/tex]
Step-by-step explanation:
I don't know what the column method is, but I can give you another method of solving.
We know that [tex]1.5=1~1/2=3/2[/tex], so we really want to find [tex]10-3/2[/tex].
We know that [tex]20[/tex] divided by [tex]2[/tex] is [tex]10[/tex], so we really want to find [tex]20/2-3/2[/tex].
We can combine fractions with like denominators, so we really want to find [tex](20-3)/2[/tex].
We know that [tex]20-3[/tex] is [tex]17[/tex], so we really want [tex]17/2[/tex]. We can't simplify [tex]17/2[/tex] anymore.
So, the answer is [tex]\boxed{17/2}[/tex] and we're done!
A down payment of $195 is made on a television that costs $1300. What percent of the
cost is the down payment?
Answer:
15%
Step-by-step explanation:
Add 195 to 1300, which gives you, 1495.
Use the formula for percent change: Difference = % * original price.
So what is the difference between 1495 and 1300? It’s 195.
Now we have 195 as the difference.
Do we know the original price of the TV? Yes we do. What is it? Its 1300 because the question states the TV costs $1300.
Now we have the equation 195 = % * 1300
We don’t know the percentage, right? So now we have to solve for %. To do that, you have to do 195 divided by 1300, which gives you 0.15. Lastly, you have to turn 0.15 into a percentage, to do that, multiply 0.15 by 100, and it should give you 15%.
Therefore, 15% is the down payment. Hope this helps!
How many bagels can u make in 18 hours
Answer:
4 but i'm bad at cooking cause i'm 15 so
Step-by-step explanation:
Travis buys a new deep freezer. The manual tells him the temperature will drop 12℃ every hour after he plugs it in. It is currently 70℃ in his house. He checks several hours later and the freezer reads -2℃. How many hours have passed? Write an equation and solve.
Answer:
6 hours will have past if it's then -2°C
1. A rectangular canvas picture measures 12 inches by 28 inches. The canvas is mounted inside a frame of uniform width, increasing the total area covered by both canvas and frame to 612 square inches. Find the uniform width of the frame.
The uniform width of the frame is 16.61 inches.
Since a rectangular canvas picture measures 12 inches by 28 inches, and the canvas is mounted inside a frame of uniform width, increasing the total area covered by both canvas and frame to 612 square inches, to find the uniform width of the frame you must perform the following calculation:
√ (612 - (28 x 12)) = X √ (612 - 336) = X √276 = X 16.61 = X
Therefore, the uniform width of the frame is 16.61 inches.
Learn more in https://brainly.com/question/15218328
If your car gets 22 miles per gallon, how much does it cost to drive 440 miles when gasoline costs $3.00 per gallon?
Answer:
$60.00
Step-by-step explanation:
440/22 = 20
20 x 3 = 60
Whats 4+4+(6x168) and the answer in Spanish
.563 rounded to nearest hundredth
Answer:
.56
Step-by-step explanation:
Hello, please help me, rlly need help, Bellaguy08 you better not keep posting scam links!
Answer:
1/10
Step-by-step explanation:
The default placeholder value for tenths in math is 0.1, or 1/10. the first digit after the decimal point.
Please solve this in under 15 minutes! It’s due in 20 minutes!
Answer:
i think that it would be the second one
please help me this is due at 6:00 and I will out for a while so please help
Answer:
a. -15
b.-5
2. 4/-3
Step-by-step explanation:
Express the relation below as a set of order pairs
(-3,9) (1, 1)
Step-by-step explanation:
Bird flying 4 feet above sea level seal is 6.5 below surface
Jacob is making spaghetti for the Anderson family reunion. He will use 14 boxes of spaghetti, with a total weight of 168 ounces.
54 in. to 5ft write a ratio and fraction needs to be in lowest terms
Answer:
Step-by-step explanation:
54/5=10 4/5
Which statement explains why 13x−13y=−26 shares a solution with this system of equations:
10x−3y=29
−3x+10y=55
The given equation is derivable from the system of equations.
Response:
The reason why 13·x - 13·y shares a solution with the given system of equation is because -13·x - 13·y equals 55. I can subtract -3·x + 10 from the left side of 10·x - 3·y = 29, and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution of the equation.Method by which the relationship between the equations was determinedGiven:
The system of equation is presented as follows;
[tex]\begin{cases} \mathbf{10 \cdot x - 3 \cdot y} = 29...(1) & \text{ } \\ \mathbf{-3 \cdot x + 10 \cdot y} = 55...(2) & \text{ } \end{cases}\\[/tex]
Therefore, by subtracting equation (2) from equation (1), we have;
(10·x - 3·y) - (-3·x + 10·y) = 29 - 55 by subtracting equivalent expressions
13·x - 13·y = 29 - 55 = -26
13·x - 13·y = -26, which is the given equation
Given that the operation performed on equation (1) and (2) is the
subtraction of equivalent expressions, we have, that the solution for the
given equation, 13·x - 13·y = -26 is the same as the solution for given
system of equations.
The reason why 13·x - 13·y = -26 shares a solution with the system of equations based from the given options in a similar question is therefore;
D. because -3·x + 10·y is equal to 55, I can subtract -3·x + 10·y from the left side of 10·x - 3·y = 29 and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution to the equationLearn more about simultaneous equations here:
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Resuelve (10x-8y)(6x+4)=
Answer:
60x^2 + 40x - 48xy - 32y
Step-by-step explanation:
Let's solve this using the FOIL (first, inner, outer, last) method.
(10x-8y) (6x+4)
= 10x × 6x + 10x × 4 - 8y × 6x - 8y × 4
= 60x^2 + 40x - 48xy - 32y
Answer: 60x^2 + 40x - 48xy - 32y
Soory for the wrong answer i re solved it :)
WILL MARK BRAINLIEST Select the correct answer.
What is the slope of the line in this graph?
y 10
9
8
00
17
6
5
5
w
3
-2
N
X
1
2
3
5
ch
6
7
7
GO
9
10
ОА.
OB &
C.
9
OD
Answer:
don't know Sorry sorry
Answer:
Edit: 2/3 or 5/7
Step-by-step explanation:
Slope(m) = 5-3/7-4 = 2/3
The figure isn't clear for me so i figured it passed through 4 3 as well but if it isn't.
Slope(m) = 5-0/7-0 = 5/7
Please hurry 15 points
Answer:
pretty sure its A
Step-by-step explanation:
A is the only one with the line going threw -1 and 5
Answer: its A just got done with it
1. Find the equation of a parabola with a focus of (0, -6) and directrix y = 6.
Max points
9514 1404 393
Answer:
(d) y = -1/24x² (b) y = 1/36x²Step-by-step explanation:
1. The point halfway between the focus and directrix is the origin. That is, the vertex of the parabola is the origin. Then its equation can be written ...
y = 1/(4p)x²
where p is the distance from the vertex (origin) to the focus. Here, that distance is -6, so 4p = -24 and the parabola's equation is ...
y = -1/24x²
__
2. Same deal. The vertex is the origin, but this time the focus is above the origin by 9 units. Then the equation is ...
y = 1/36x²
how long does a pregnancy last will give 100 points I'm in test
a 1day
b 1mounth
c 2weeks
d 1year
Answer: D is the answer
Step-by-step explanation:
And why are you asking this question? Are you a girl?
5 A triangle has a base length of 2x cm and a height of (x - 3) cm. If its area
is 18 cm², calculate its height and base length.
Answer:
base = 12; height = 3
Step-by-step explanation:
Area: ( b x h ) / 2
base: 2x
height: (x - 3)
---------------------------------
( ( 2x )*( x - 3 ) )/ 2 = 18
( 2x ^2 - 6x ) = 36
2x ^2 - 6x - 36 = 0
(quadratic formula)
x = 6
x = -3
---------------------------------
taking the positive value : x = 6
---------------------------------
base: 2x = 2(6) = 12
height: x - 3 = 6 - 3 = 3
Explain step by step please!
Thirty copies of a textbook weigh a total of 75lb. What is the weight of each book?
Answer:
Each book weighs 2.5 pounds.
Step-by-step explanation:
75/2.5 is 30. Or you could also get the answer by 30* 2.5 which it would be 75. So, therefor, the answer is 2.5.
Answer:
2.5lb
Explanation:
In equation form the question is asking for x in
[tex]30(x) = 75[/tex]
Since multiplication is reversible (to be division), we can switch the equation up.
[tex]75[/tex] ÷ [tex]30 = x[/tex]
So the answer is
[tex]75[/tex] ÷ [tex]30 = 2.5[/tex]
Select all of the following statements that are true.
- + 0 = -
- - = -
- = +
- + = -
- + = +
- + = 0
Answer:
-+=- is true
Step-by-step explanation:
because - and+ are equal to -
but - and- are eqial to +
Find the value of this expression if x = 5.
Hi there!
»»————- ★ ————-««
I believe your answer is:
5
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\frac{x^2-5}{x-1}\\-----------\\\\\rightarrow \frac{(5)^2-5}{5-1}\\\\\rightarrow \frac{25-5}{5-1}\\\\\rightarrow\frac{20}{4}\\\\\rightarrow \boxed{5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.