69 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be
given to the second-place finisher, and a bronze medal is to be given to the third-place finisher.
Assume that there are no ties. In how many possible ways can the 3 medals be distributed?

Answers

Answer 1

Answer:

The order of finishing is important here, therefore you use permutations rather than combinations.  Athlete A winning a gold medal, athlete B silver, and athlete C bronze is not the same as athlete A bronze, athlete B silver and athlete C gold for instance

69P3 = 69! / (69 -3!)

Step-by-step explanation:


Related Questions

Joanne designs and sells t shirts through an online forum. she paid 80 dollars for general supplies. It costs her 2 dollars to make each t shirt. She charges 6 dollars per shirt. Determine how many t shirts Joanne needs to sell in order to break even.

Answers

Answer:

20 shirts

Step-by-step explanation:

We are told she paid 80 dollars for general supplies. It costs her 2 dollars to make each t shirt.

Total cost of production is;

80 + 2t

Where t is number of t-shirts.

We are told that She charges 6 dollars per shirt.

This means that total revenue from sales is; 6t

Now,in economics or business, break even point is the point where revenue and total cost are equal.

Thus, break even point will be at;

80 + 2t = 6t

6t - 2t = 80

4t = 80

t = 80/4

t = 20 shirts

HURRY
One-fourth of the sum of 2p and 11: and show your work please

Answers

Answer: 0.5p + 2.75

Step-by-step explanation:

since it's one-fourth of it you can divide it by 4

to find the solution.

The sum of half of a number and 49 is 2 whole 1/4 0f the number. Find the number. *

3 points

a) 28

c) 24

b) 26


choose the correct answer from the given choices​

Answers

Answer:

28

Step-by-step explanation:

let the missing number be x

x÷2+49=2¼x

49=9/4x-x/2

lcm=4

9x-2x/4

49=7x/4

49×4=7x

196=7x

divide both sides by 7

196/7=x

therefore 28=x

PLEASE HELP!!!
Which expression is equivalent to 4sin^2(x) - 8sin^2(x/2)

Answers

Answer:

4(sin^2(x) -2sin^2(x/2))

Step-by-step explanation:

Matter of factorising

Answer:

It is 4(cos(x)-cos^2(x))

Step-by-step explanation:

I used an app on chegg and found that this is the only answer that is equivalent

Write a recursive formula and an explicit formula for the following arithmetic sequence: -1,6,13,20,27

Answers

Answer:

Recursive formula is: [tex]a_1=-1 ; \ \ a_n=a_{n-1}+7[/tex]

Explicit formula is: [tex]a_n=7n-8[/tex]

Step-by-step explanation:

We need to find recursive formula and explicit formula for arithmetic sequence -1,6,13,20,27

In the given sequence First term a₁= -1

Common difference d = 7

Finding Recursive Formula

The recursive formula is of type:[tex]a_1= First \ term[/tex] and [tex]a_n=a_{n-1}+d[/tex]

Since the First term a₁ is -1 and common difference d is 7 so, the recursive formula  for given arithmetic sequence will be:

[tex]a_1=-1 ; \ \ a_n=a_{n-1}+7[/tex]

Finding Explicit Formula

The explicit formula is of type: [tex]a_n=a_1+(n-1)d[/tex]

We have

First term a₁= -1

Common difference d = 7

So, explicit formula will be:

[tex]a_n=-1+(n-1)7\\a_n=-1+7n-7\\a_n=7n-8[/tex]

So, explicit formula is: [tex]a_n=7n-8[/tex]

A local hamburger shop sold a combined total of 762 hamburgers and cheeseburgers on Friday. There were 62 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday?

Answers

Answer:

1586

Step-by-step explanation:

The distance around a park is 3/2 miles. Noah rode his bicycle around the park for a total of 3 miles. How many times around the park did he ride? Ill mark you brainliest:3

Answers

Answer:

2 times

Step-by-step explanation:

Answer:

2 times

Step-by-step explanation:

Which transformations map the strip patterns onto itself?

Answers

I think it’s b, a horizontal translation and a 180 degree rotation

Answer: D.

A horizontal translation and a glide reflection.

anju plots points showing equivalent ratios on the coordinate plane below​

Answers

Answer:

15

Step-by-step explanation:

An employee earned $21,871 this year. This was a raise of 4% over last year. What was his salary last year? Round to the nearest dollar, if necessary.
O A. $21,784
O B. $21,030
OC. $21,867
OD. $20,996
O E. None of these

Answers

E none of these is the answer

Answer:

D

Step-by-step explanation:

21,871 x 0.96 = 20,996

If 8 g of a radioactive substance are present initially and 2 yr later only 4 g remain, how much of the substance will be present after 5 yrs?

Answers

Answer:

none

Step-by-step explanation:

8-4=4

if every 2 years, 4 gallons disappear

then every 1 year, 2 gallons disappear

meaning that by 5 years there will be no substance left.

(5*2=10)

What are steps I need to take to find a? Please include working out ❤️❤️

Answers

142-38=104
Это и есть ответ

4r + 6r - 13 = 7r + 5

Answers

10r-13=7r+5
-7r -7r
3r-13=5
+13 +13
3r=18
/3 /3
r=6

Rip king Von pop smoke quando rondo timmie and yea


Points and brainlest help me out on my question !!

Answers

Answer:

RIP to all those kings!!

Step-by-step explanation:

Solve for n: n/3 > 66 2/3

Answers

Answer: The 2 answers are inequality form and interval notation: n>200, and (200, ∞).

Step-by-step explanation: To solve for n, you’ll need to simplify the both sides of the inequality, and then isolating the variable.

Find the measures of angles A, B, and C in triangle ABC

m < B=3* m
m

Answers

Answer:

what type of question is this

Will mark as brainless if you answer correctly

Answers

Answer:

ans=10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10(4-7) /   -(4 - 1)

10(-3)  /    -(3)

-30    /    -3 =

10

A rectangle is constructed with its base on the​ x-axis and two of its vertices on the parabola yx. What are the dimensions of the rectangle with the maximum​ area? What is that​ area?

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, the complete question is:

A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y 81-x², what are the dimensions of the rectangle with the maximum area? what is the area?

Solution:

Given the parabola:

y = 81 - x²

Let the points (a,0) and (-a, 0) be points on the axis, this points touch the parabola at (a, 81 - a²) and (-a, 81 - a²).

Points (a,0), (-a, 0), (a, 81 - a²), (-a, 81 - a²) form the rectangle.

The length of rectangle = distance between (a,0) and (-a, 0) or between (a, 81 - a²) and (-a, 81 - a²) = 2a

The breadth of rectangle = distance between (a,0) and (a, 81 - a²) or between (-a, 0) and (-a, 81 - a²) = 81 - a²

Area of rectangle (A) = length × breadth = 2a × (81 - a²) = 162a - 2a³

A = 162a - 2a³

The maximum area is at dA / da = 0

dA / da = 162 - 8a² = 0

162 - 6a² = 0

6a² = 162

a² = 27

a = 5.2 units

Length = 2a = 2(5.2) =  10.4 units

Breadth = 81 - a² = 81 - 5.2² = 54 unit

Area = length × breadth = 54 × 10.4 = 561 unit²

For the expression: 12 - 7k + 9 - k
What are the terms?
What are the like terms?
What are the coefficients?
What are the constants?
What is the expression simplified?​

Answers

Answer:

like terms is -7k-k and 12+8

The terms are 12,7k,9,k ( terms are separated by either a plus or minus signs)

Like terms are 12 and 9, 7k and k

The coefficients are 7 and 1 ( these are numbers that come before a variable e.g 7k, so 7 is the coefficient of k.

The constants are the numbers which are not variables like 12 and 9

21 - 8k ( add or subtract the like terms only)


Plz give brainleast if this answers helped ya :)

If a vector that is 1cm long represents a velocity of 10 km / h, what velocity does a vector 2 m long drawn to the same scale represent?

Answers

Answer:

V = 2000 km/h

Step-by-step explanation:

Recall that you need to follow proportionality here, and the ratio involved is: 10 km / 1 cm

then if the vector is 2 m long, then it is 200 cm long (converting it from meters to the same units as our scale which is in cm)

then we have to solve the following proportion to obtain the velocity "V":

10 km/h / 1 cm = V / 200 cm

multiply both sides by 200 to solve for V:

V = 2000 km/h

What is -7 as a fraction

Answers

Answer:-7/1

Step-by-step explanation:

Answer:

-7/1

Step-by-step explanation:

If the area of the rectangle is(xA^3−4x^2−15x+21) and the width is (x-6), what is the length?

Answers

Answer:

hmm, imma have to do the problem

Step-by-step explanation:

The original price of a shirt was 20$. It decreased to 15$. what is the percent decrease of thee price of this shirt ?

Answers

5 dollars off of $20 would be 25%.

Put brackets in the expression to make the following true. 4 - 7 - 8 + 6 = -17

Answers

4 - 7 - ( 8 + 6 ) = -17

Which statement is true about the expression

x + 0.05x


It is equivalent to 1.05x
It is equivalent to 1.05x

it is equivalent to 1.5x
it is equivalent to 1.5x

it is equivalent to 1.005x
it is equivalent to 1.005x

it is equivalent to 1.55x

Answers

it is equivalent to 1.05x

Challenge You buy 3.17 pounds of oranges, 1.25 pounds of pears, and 2.44 pounds of apples.
What is your total bill?
Grocery Store Prices
Item
Cost
Oranges
$0.99 per
pound
Pears
$1.09 per
pound
Your total bill is $

Answers

6.86 hope this helps !! :))

SOMEONE HELPPPPP PLEASEEEEE

Answers

Answer:

15. 0

16. Infinate

17. Infinate

18. -3

19. 11/-6

20. 0

Step-by-step explanation:

Im not explaining for each cause that would take too long, just know you plug in the y and x into the formula y1-y2/x1-x2. So for the first one, you would have -1--1 / 4--2 but when there are two subtractions signs it turns into a plus so -1+1 / 4+2

Select the correct answer.
Which one of these functions is a cubic function?

Answers

Answer:

B

Step-by-step explanation:

A cubic function begins with an X^3.

A painter uses 1.2 liters of the paint to cover 1m2 of the wall.

How much paint will he need to cover 7m2;?

Answers

Answer: He will need  8.4 liters to conver 7 m².

Step-by-step explanation:

1. You have that 1 m² is convered with 1.2 liters of paint.  

2. Therefore, to solve this problem, you can calculate the liters needed to cover 7 m² by multiplying this area by 1.2 liters and dividing this by 1 m².

8.4 liters to cover it

Priya ran 1 1/2 miles today, and Tyler ran 3 3/4 miles. How many times the length of Priya’s run was Tyler’s run?

Answers

Answer:

2.5

Step-by-step explanation:

The length of Priya’s run was 2.5 times Tyler’s run.

Given

Priya ran 1 1/2 miles today, and Tyler ran 3 3/4 miles.

To determine how many times the length of Priya’s run was Tyler’s run following all the steps given below.

Let, the distance covered by Priya be x and Tyler be y.

Priya ran 1 1/2 miles today.

Then,

[tex]\rm = 1 \dfrac{1}{2}\times x\\\\= \dfrac{2\times 1+1}{2}\times x\\\\= \dfrac{2+1}{2}\times x\\\\=\dfrac{3x}{2}[/tex]

Tyler ran 3 3/4 miles.

[tex]\rm = 3 \dfrac{3}{4}\times y\\\\= \dfrac{4\times 3+3}{4} \times y\\\\= \dfrac{12+3}{4} \times y\\\\= \dfrac{15y}{4}[/tex]

On comparing both the distance

[tex]\rm \dfrac{3}{2} \times x= \dfrac{15}{4}\times y\\\\x = \dfrac{5y}{2} \\\\x = 2.5y[/tex]

Hence, the length of Priya’s run was 2.5 times Tyler’s run.

To know more about Equation click the link given below.

brainly.com/question/20170569

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