Five different awards are to be given to three students. Each student will receive at least one award. In how many different ways can the awards be distributed?

Answers

Answer 1

Answer:

Two ways

Step-by-step explanation:

Blue is students and Yellow is the trophies.

Five Different Awards Are To Be Given To Three Students. Each Student Will Receive At Least One Award.
Answer 2

Total number of different ways that the awards can be distributed is; 150 ways.

It is clear from the question that the awards and the students are different. Now, each student will receive at least one award.

This means that the five different awards could be separated into;

3 + 1 + 1 awards or 2 + 2 + 1 awards.

Now, for one person to get 3 awards and the other 2 people to get one award each, the number of ways is calculated as;

       ⁵C₃ × 3! = 60 ways

Now, for the case where one person is to get 1 award and the other 2 people to get two awards each, the number of ways is calculated as;

      ((⁵C₂ × ³C₂)/2) × 3! = 90 ways

Thus; total number of ways the awards can be distributed = 60 + 90 = 150 ways.

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Related Questions

Can somebody help me? Will mark brainliest!

Answers

Answer:

I believe it would be 3 reflection followed by translation.

Step-by-step explanation:

please help im freaking out because this is due in 5 minutes ​

Answers

a little advice don’t put stuff to the end

Step-by-step explanation:

12:8

24:16

36:24

48:32

Girl hurry and submit it

2. An electric fan has a resistance of 3.0 kN and a voltage rating of 220 volts. What
is the current needed to operate the electric fan?
Given:
Resistance (R)
ka x (1000/1 kg) =
volts
Voltage (V)
Required: Current (1)
Formula:
voltage
resistance
Solution:
V-IR
Answer:
Current =
A, the current needed to operate
the electric fan​

Answers

Answer: 73.33A

Step-by-step explanation:

Resistance (R)= 3.0 kN

Voltage (V)= 220 volts

Current (I)= Unknown

The formula to calculate the current will be:

Current = Voltage / Resistance

Current = 220 / 3.0

Current = 73.33 A

Therefore, the current needed to operate the electric fan is 73.33.

What is the slope of у= 3х — 9​

Answers

Answer:

3

Step-by-step explanation:

We can recognize this equation as a linear equation, which is given by the following formula:

[tex]y=mx-b[/tex], where m is the slope and b is the y-intercept.

Thus, we see that 3 is the slope, and 9 is the y-intercept.

The slope would be 3

Please Help And Hurry!! (WORTH 20 POINTS)







Solve
5h – 15 + 7h = 40

(Sorry if this is easy I'm bad at math)

Answers

Step-by-step explanation:

h= 55/12 if thats what u askin for

Given equation:

5h – 15 + 7h = 40

To find?

value of h

Explanation:

[tex]:\implies \bold{5h – 15 + 7h = 40}[/tex]

[tex] :\implies \bold{5h + 7h = 40 + 15}[/tex]

[tex] :\implies \bold{12h= 55}[/tex]

[tex]:\implies \bold{h = \dfrac{55}{12} }[/tex]

[tex]:\implies\underline{\boxed{ \bold{h = 4.583}}}[/tex]

Verification:

[tex]:\implies \bold{5h – 15 + 7h = 40}[/tex]

[tex]:\implies \bold{(5 \times 4.583) – 15 +( 7 \times 4.583)= 40}[/tex]

[tex]:\implies \bold{ 30– 15 + 32= 40}[/tex]

[tex]:\implies \bold{ 30– 15 + 32= 40}[/tex]

[tex]:\implies\underline{\boxed{ \bold{ 40= 40}}}[/tex]

I need help with #18 & 20
Please explain so I understand

Answers

Isjsndjxksmnsjzksksms oaksmskxi haha

After taking the interest formula (I=Prt) and solving the equation for t, how many years will it take to earn $80 in interest (I) if I initially invest $500 (P) and my interest rate (r) is 4%? (Don't forget to change your percentage to a decimal!)
t=

Answers

Answer:

hehehe

Step-by-step explanation:

hehehe

Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway. 30x + 30y = 450 20x + 25y = 345 How much more can Paula shovel in 1 minute than Melinda? 3 square feet per minute 6 square feet per minute 9 square feet per minute 15 square feet per minute

Answers

Answer: A: 3 square feet per minute

Step-by-step explanation:

The square feet more that Paula can shovel in 1 minute more than Melinda is 3 square feet per minute.

System of equations

30x + + 30y = 450 equation 1

20x + 25y = 345 equation 2

Where:

x = square feet shovelled by Melinda

y = square feet shovelled by Paula

What is the square feet shovelled by Paula?

The first step is to multiply equation 1 by 20 and equation 2 by 30

600x + 600y = 9000 equation 3

600x + 750 y = 10,350 equation 4

Subtract equation 3 from equation 4

150y = 1350

Divide both sides by 150

y = 9 square meters

What is the square feet shovelled by Melinda?

Substitute for y in equation 1

30x + 30(9) = 450

30x + 270 = 450

30x = 450 - 270

30x = 180

x = 6 square meters

How much more can Paula shovel in 1 minute than Melinda?

9 - 6 = 3 square meters

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

f(0) = -5, f(4) = -3

Answers

Answer:

y = [tex]\frac{1}{2}[/tex] x - 5

Step-by-step explanation:

Given f(0) = - 5 and f(4) = - 3 , then we have the coordinate points

(0, - 5) and (4, - 3)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 5) and (x₂, y₂ ) = (4, - 3)

m = [tex]\frac{-3+5}{4-0}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]

The line crosses the y- axis at (0, - 5) ⇒ c = - 5

y = f(x) = [tex]\frac{1}{2}[/tex] x - 5 ← equation of line

A restaurant bought 36.5 pounds of beef from a store. The next​ month, the restaurant bought 71.3 pounds of beef and 21.5 pounds of chicken. How many pounds of meat did the restaurant​ buy

Answers

Answer:

129.3 pounds

Step-by-step explanation:

A restaurant bought 36.5 pound of meat from a store

The following month they also bought 71.3 pounds of meat and 21.5 pounds of chicken

Therefore the total pounds of meat bought by the restaurant can be calculated as follows

= 36.5 + 71.3 + 21.5

= 129.3 pounds

Mr. K cooked down 2 pumpkins yesterday. He did this to make pumpkin pies for Thanksgiving. He was able get 30.5 cups of pumpkin. If Mr. K needs 1 ¾ Cups of pumpkin to make 1 pie, how many pies can he make with the pumpkin he cooked down last night? double work pleaseeee helpp meeee

Answers

He can make 17 pies and here are the steps :)

PLEASE HELP ITS A TESTTT... To train for a marathon, Olivia runs 2 miles per day for the first week and then increases the daily distance by a quarter mile each of the following weeks. Write and equation to represent the NTH term of the sequence.​

Answers

Answer: 14

Step-by-step explanation:

Elijah's puppy weighs 35 ounces if he weighed 19 ounces at the last visit to the veterinarian's office what is the percent increase in the puppy's weight rounded to the nearest whole number

Answers

Answer:54.29%

Step-by-step explanation:

(4,-3) and (-1,-9) The Distance Between the two points in simplest radical form

Answers

Answer:

(5,6)

Step-by-step explanation:

so first yall

u find the difference between 4 and -1 which is 5 so u go 5 spaces right so it would be 5

then u find the difference between -3 and -9 which is 6 so ud go 6 spaces down so the difference between emmmm is

(5,6)

Factorise fully
x2 - 42^2

Answers

Step-by-step explanation:

(x_42)(x+42)...

....

The answer is (x + 42)(x - 42)

When the weight is greater than 15 pounds, the cost will be greater than $10.

Answers

Answer:

muy bien ami si me funciono la pregunta

What is the value of the expression below?
8:2+6.5

Answers

Answer:

34

Step-by-step explanation:

8/2 = 4

6 times 5 = 30

4 + 30 = 34

ANSWER : 14.7
EXPLANATION :
8.2
6.5
——-
14.7

43/(-12 + 22
( (2 x 3)2 + (-5 x 2 x 3) + 2
Give your answer in simplest form.

Answers

Answer:

I think it is -1

Step-by-step explanation:

Simplify the problem first.

Let's start with the numerator.

FYI, this, ^, means raised to the power of.

4^3 = 64

-12 + 2^2 = -12 +4 which equals -8

64/-8 = -8

Now simplify the denominator.

(2*3)^2 = 6^2 which equals 36.

-5*2*3 = -10*3 which equals -30

Then add the 2 to the end.

36 + (-30) + 2 = 6 + 2 which equals 8. This is the denominator.

Your fraction now is:

-8/8

Simplify this and you will get -1 as the simplest form.

Please forgive me if this is incorrect.

9514 1404 393

Answer:

  -1

Step-by-step explanation:

A suitable calculator can find the value for you.

  [tex]\dfrac{4^3/(-12+2^2)}{(2\times3)^2+(-5\times2\times3)+2}=\dfrac{64/(-12+4)}{6^2+(-5\times2\times3)+2}=\dfrac{64/(-12+4)}{36+(-5\times2\times3)+2}\\\\=\dfrac{64/(-8)}{36+(-30)+2}=\dfrac{-8}{6+2}=\boxed{-1}[/tex]

Louisa cuts 7 peices of yarn.

Answers

Answer:

i need more details

Step-by-step explanation:

Lol where’s the rest of the question

what is the answer to 4(x + 1) = 4x + 10

Answers

Answer:

No solution

Step-by-step explanation:

First we would have to see if anything has to be distributed and yes the 4 in the expression 4(x + 1) has to be distributed to the x and 1. So we would multiply the 4 by x and 1. Now we have 4x + 4 = 4x + 10. We have to get the x's on 1 side of the equation so we would do the inverse of one of the x's and we can only subtract. So we can subtract 4x on both sides. So now we have

4 = 10. That isn't a correct statement so there is no solution.

4 does not equal 10.

A woman drives a distance of 40km to work each day and her average speed for the journey is written as x km/h. If she increase her average speed by 5km/h, it takes 2 minutes less time than usual to make the journey. Calculate her normal speed in km/h​

Answers

40/x = 40/x+5 + 2/60
-> i don’t have a sketchbook or calculator at the moment so pls figure out the final answer yourself

I will give Brainlyest to the person who is first




After the temperature rose 9', the thermometer read 37°F
What is an equation that can be used to find x, the temperature before the gº increase
Drag the number, symbol, or operation sign to each box to complete the equation or symbol to

Answers

Answer:

37-9=28

Step-by-step explanation:

it was 28 F then rose 9 which is 37 so 37-9 =28

The  equation is  37 - 9= x.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

After the temperature rose 9°F, the thermometer read 37°F.

let  x be the temperature before the 9º increase.

So, 37 - 9= x

x= 28°F.

Hence, the equation is  37 - 9= x.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ5

Help please I mark brainliest

Answers

Answer:

negative 5w to the power of 3 .over w to the power of 4

simplify 15 and -3 to (-5/1)

make w to 4 to 4 -3w to the power of 8

then power simplification 6 over 8 to 3 and 4.

You have put ₹ 2500 in your bank account. After some years, you observe that you have received interest and the amount now is ₹ 4100. What is the percentage of increase?

Answers

Answer:

64%

Step-by-step explanation:

The first step is to calculate the increase

= 4100-2500

= 1600

Therefore the percentage increase can be calculated as follows

= increase/original number × 100

= 1600/2500 × 100

= 0.64 × 100

= 64%

Hence the percentage increase is 64%

What is the inverse of the function f(x) = 2x + 1?

Answers

Answer:

y = x/2 -1/2

Step-by-step explanation:

let’s write this equation as

y = 2x + 1

to find the inverse let’s switch x and y

x = 2y + 1

and solve for y

x -1 = 2y

y = x/2 -1/2

so the inverse is

y = x/2 -1/2

What is the given point on the line of this equation y +2 = (1 - 3)2

Answers

Answer:

4

Step-by-step explanation:

Move numbers to right hand side

The anwser to this question you might ask is ( 4)

Which equation is parallel to CD which passes through through points C (-3,4) and D (7,-2)?

Answers

Answer:

y = - [tex]\frac{3}{5}[/tex] x + 1

Step-by-step explanation:

Parallel lines have equal slopes

Calculate m of CD using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = C(- 3, 4) and (x₂, y₂ ) = D(7, - 2)

m = [tex]\frac{-2-4}{7+3}[/tex] = [tex]\frac{-6}{10}[/tex] = - [tex]\frac{3}{5}[/tex] , thus

y = - [tex]\frac{3}{5}[/tex] x + 1 ← is parallel to CD

PLEASE ANSWER ASSAP!!! IF CORRECT WILL GIVE BRAINLY!!!!! Which one of these relationships is different than the other three? Explain how you know.

Answers

Answer:

The relationship B is different than the other three, because it has a different proportionality constant.

Step-by-step explanation:

All available options show direct relationships, which are defined as follows:

[tex]y\propto x[/tex]

[tex]y=k\cdot x[/tex] (1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]k[/tex] - Proportionality constant, dimensionless.

We proceed to use the following strategy based on the proportionality constant, that is:

[tex]k = \frac{y}{x}[/tex]

A different relationship must indicate a different proportionality constant:

Option A ([tex]x = 0.8[/tex], [tex]y = 4[/tex])

[tex]k = \frac{4}{0.8}[/tex]

[tex]k = 5[/tex]

Option B ([tex]x = 10[/tex], [tex]y = 55[/tex])

[tex]k = \frac{55}{10}[/tex]

[tex]k = 5.5[/tex]

Option C ([tex]x = 4[/tex], [tex]y = 20[/tex])

[tex]k = \frac{20}{4}[/tex]

[tex]k = 5[/tex]

Option D ([tex]x = 10[/tex], [tex]y = 50[/tex])

[tex]k = \frac{50}{10}[/tex]

[tex]k = 5[/tex]

The relationship B is different than the other three, because it has a different proportionality constant.

How do I do this? I’m lost

Answers

Answer:

x=12

Step-by-step explanation:

3x+7=5x-17

2x=24

x=12

By bike, it’s possible to travel 108 miles in 6 days. What’s the unit rate?

Answers

Answer:

18miles per day

Step-by-step explanation:

Just do 108/6

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