Mathematics Middle School

In a dog show, there will be a gold, a silver, and a bronze medal awarded. There are
5 finalists. In how many different ways can the 3 medals be awarded?

Answers

Answer 1
Answer
60 ways

Explanation
In permutation the order really matters unlike combination where order does not matter.
The question wants you to find how many time you can choose 3 out of 5 with order.
This means we should find 5 permutation 3.

5P3=5!/3!
=(5×4×3×2×1)/(3×2×1)=5×4 
                                     =60 
Answer 2

Answer:

60 ways

Step-by-step explanation:

There are five finalist and 3 medals.

For getting the first medal, there are 5 choices, any of the finalist can get that.

For getting the second medal, we are left with 4 choices.

For getting the third medal we are left with 3 choices.

Hence, the number of ways 3 medals can be awarded are:

5×4×3=60 ways

Related Questions

? - 12 = -6


What is the missing number?

Answers

the missing number is 6

Last week, you finished Level 2 of a video game in 32 minutes. Today, you finished Level 2 in 28 minutes. What is your percent of change?

Answers

The first step to solve this problem is to compute how much change in minutes were you able to have today compared to the last week.

32 minutes – 28 minutes = 4 minutes faster than last week

To compute the percent of change you have to divide the change in minutes to the duration in minutes for the last week:

4 minutes / 32 minutes = 0.125 or 12.5% faster than last week

the bottom of a circular swimming pool with a diameter of 30 feet is painted blue. How many square feet are blue?

Answers

The blue area covers 225π square feet.

The area of the circular pool:

Radius (r) = Diameter/2 = 30 feet / 2 = 15 feet

Area = πr^2 = π(15 ft)^2 = 225π square feet

Thus, the total area painted blue is:

225π square feet

Aiden needs 15 liters of cleaning solution. He can buy a 2-gallon jug ($4.28) a 3 gallon jug ($5.92) a 4 gallon jug ($6.56) a 7 gallon jug ($12.98). Which jug should he purchase to get at least 15 liters of cleaning solution and spend the least amount of money?

Answers

We need 15 liters
2 gallon jug  4.28*2=8.56   1 gallon=3.78, 2 gallons=7.57 liters

3 gallon jug  5.92*3=17.76                        3 gallons=11.35 liters

4 gallon jug  6.56*4=26.24                        4 gallons=15.14 liters

the best solution is to buy 2 times the 2 gallon jug because he will spent
8.56*2=17.12  for 4 gallons(aprox 15 liters)
instead of the 4 gallon jug which costs 26.24

7 gallon this is more expensive and he does not that much solution

Aiden should purchase a 4-gallon jug ($6.56) to get at least 15 liters of cleaning solution and spend the least amount of money.

What is unit conversion?

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

It is given that:

Aiden needs 15 liters of cleaning solution.

He can buy a 2-gallon jug ($4.28) a 3-gallon jug ($5.92) a 4-gallon jug ($6.56) a 7-gallon jug ($12.98).

As we know,

1 gallon =  4.54 liters

2 gallon = 9.09 liters

3 gallon = 13.63 liters

4 gallon = 18.18 liters

7 gallon = 31.82 liters

Thus, Aiden should purchase a 4-gallon jug ($6.56) to get at least 15 liters of cleaning solution and spend the least amount of money.

Learn more about the unit conversion here:

https://brainly.com/question/11543684

#SPJ2

For your party you purchased balloons for $.79 each. You spent a total of $11.85. About how many balloons were purchased?

Answers

15 ballons were purchased

Let us suppose the number of balloons purchased is x in number.

It is given balloons are purchased for $.79 each

Cost of x balloons = .79x.

Total amount spent on purchasing balloons = $11.85

Cost of x balloons = Total cost of balloons.

.79x=11.85

With x .79 is multiplied .Opposite of multiplication is division.

We perform the opposite operation both sides

Dividing both sides by .79

x=11.85÷.79

x=15

Total number of balloons purchased is 15.


Find two ratios equal to the given ratio : 1/5:1 3/5

Answers

Hi there!

To find two ratios equal to the given ratio, all we need to do is multiply both sides of the ratio by the same number.

1:3 is an equal ratio because we multiply both sides of it by 5.

2:6 is also an equal ratio because we multiply both sides by 10.

Hope this helps!

The line plots show the number of hours two groups of teens spent online last week. How does the data compare for the two groups of teens? The 16- to 18-year olds spent about the same hours online, on average, as the 13- to 15-year olds. The mode for the hours spent online for the 13- to 15-year olds is greater than the mode for the hours last week for the 16- to 18-year olds. The median value for the hours spent online for the 13- to 15-year olds is greater than the median value for the hours spent online for the 16- to 18- year olds. The range of hours spent online for the 13- to 15-year olds is greater than the range of hours spent online for the 16- to 18-year olds.

Answers

From your choices above, the answer is C. The median value for the hours spent online for the 13- to 15-year olds is greater than the median value for the hours spent online for the 16- to 18- year olds.

Answer:

The 16- to 18-year olds spent about the same hours online, on average, as the 13- to 15-year olds.

Step-by-step explanation:

Just took the test and this was the answer, view the image below to see if its the right chart.

find the surface of the area of the rectangular prism 16m 5m 14m

Answers

Total Surface Area = 2(16 x 5) + 2(5 x 14) + 2(14 x 16)
Total Surface Area = 160 + 140 + 448
Total Surface Area = 748 m²

------------------------------
Answer: 748 m²
------------------------------

What is the value of x?



Enter your answer in the box.

Answers

These are vertical angles. Vertical angles are congruent, so you can set their values equal to each other to solve for x.

2x + 2 = 3x - 52          Vertical angles are congruent
      2x = 3x - 54          Subtract 2 from both sides
       -x = -54                Subtract 3x from both sides
        x = 54                  Divide both sides by -1

Answer:
x = 54

suppose you spina spinner numbered 1 through 6, and you sa 3 five times in a row.What is the theoretical possibility of spinning a 3 on the next spin

Answers

it would still be a 1/6th chance that you will gey the number three. i would say that just because you got 3 5 times in a row will not increase or decrease your chances of another 3.

Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 2000/3[pie] in^3. One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping.

(a) One cup has a diameter of 4 in. and a height of 8 in. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.

(b) One cup has a diameter of 8 in. and a height of 8 in. How many cups of water must she scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.

Help ASAP!
Please Be Sure Answer is 100% CORRECT!

Answers

I have these same questions but the way i solved them i did

A: 1/3 x 3.14 x 2*2 x 8 = 32/3 = 2000 divided by 32 = 63 scoops
The formula is 1/3 x 3.14 x r*2 x h
B:  1/3 x 3.14 x 8*2 x 8 =  128/3 =  2000 divided by 128 = 16 scoops

HELP WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!
Give me 5 fun facts about Octogons!

Answers

They are the shape of stop signs.
They have 8 sides.
They can be constructed with a straightedge and a compass
They form patterns on some oriental rugs.
Janggi ( a game uses octagonal pieces). Look this up.

A bakery supplier receives an order for 2 tons of flour from a bakery chain. The flour is shipped in crates. Each crate holds eight 10-pound bags of flour. How many crates does the supplier need to ship to fulfill the order?

Answers

2 tons = 4000 pounds
8 x 10 = 80
4000 \ 80 = 50
The supplier needs to ship 50 crates.
Hope this helps

PLEASE, PLEASE HELP ME

Answers

Ok 12356. Hope this helps
if you use the distributive property the 3(a+b) will equal to 3a +3b

A table has 16 glasses on it. 7of the glasses are large. The rest are small. How many glasses are small?

Answers

9? Unless it’s a trick question
There are 9 small glasses on the table

Given the function f(x) = 2x-5/3, which of the below expression is correct?

F^-1(x) = 5-2x/3

F^-1(x) = 3x-5/2

F^-1(x) = 3x+5/2

F^-1(x) = -2x - 5/3

Answers

I think you’re subtracting 5. So now it’s f^-1(x)= 3x+5/2. Not too sure but hope this may help. So, C.

In a survey of 398 students, 52% said they loved music. Use estimation to explain how many students loved music.                PLZ HELP I HAVE THIS FOR HOMEWORK RIGHT NOW AND I NEED TO FINISH IT!!!!!

Answers

52 percent of 398 is 206.96 that's the answer
We have 398 students with 52% that love music. To find the percentage for this problem, we can use this equation.
S= total number of students in the survey
M= music lovers
S• (52/100)=M
We have to divide the percentage by 100 because that allows use to calculate under 1, so there isn’t an increase in anyway, it should be less than the initial number. So if we multiply 398 by 52, we would get more than 100 percent, using 1 as 100 for percentages allow for an increase or decrease.
398•.52=206.96
For estimation, we can say there are about 400 students and we have to find 50%. Half of 400 is 200, which is a close estimate. So around 200 students in the school share a love of music.

What do you draw to show that 50,000 pennies is equivalent to 100 five dollar bills?

Answers

draw a penny with the number 50,000 about it. Then draw an equal sign and draw 5 100 dollar bills. 
draw a few pennies with an equal sign next to 100 five dollar bills

3×1 1/2=3×6/3=18/3=6

Answers

Hannah completed the multiplication below and said she needed 6 cups of chips for 3 batches of bars. Hannah completed the multiplication below and said she needed 6 cups of chips for 3 batches of bars. Whats Hannah's error?
3*1 2/3 = 3 *6/3=18/3=6
Possible explanation: Hannah did not write the mixed number, 1 2/3, as a fraction correctly, 1 2/3 is not equal to 6/3

5 cups: explanation: first 1 wrote 1 2/3 as a fraction. 1 2/3 = 3/3+2/3=5/3, then I multiplied 3 x 5/3 = 15/3=5 = True
Thus: Hannah needs 5 cups for 3 batches of bars

Please help asap

The table below shows which sports events have sold out and which have not.

Answers

A. Volleyball has a 0.4 chance of being sold out because 2 out of 5 were sold out and that equals 0.4.

B. To answer this, you need to find the number of predicted outcomes over the total number of possible outcomes. In this case it is 6/10 or 3/5 chance/probability. Between the 2 sports events there were 6 sold out compared to the total of 10.

A parachutist's speed during a free fall reaches 207 kilometers per hour. What is this speed in meters per second? At this speed, how many meters will the parachutist fall during 20 seconds of free fall? Do not round your answers.

Answers

The speed is 57.5 m/s and the parachutist will fall 1150 m in 20 seconds.

Explanation:
We start out with the ratio 207 km/1 hr.

We know that 1 km = 1000 m; this means 207 km = 207*1000 = 207000 m. This gives us 207000 m/1 hr.

We know that 1 hr = 60 minutes, so we have 207000 m/60 min.

We also know that 1 min = 60 seconds, so 60 min = 60*60 = 3600 sec; this gives us 207000 m/3600 sec.

Dividing this, we get 57.5 m/s.

In 20 seconds, the parachutist will fall 57.5(20) = 1150 m.

Answer:

1150 meters

Step-by-step explanation:

Speed of parachute = 207 kilometers per hour

Speed of parachute in meter /second = (207 x 1000)/ (60 x 60)

= 57.5 meter /second  

Parachute fall for 20 seconds with a speed of 57.5 meter /second, Thus the distance covered in 20 seconds  

= 57.5 meter /second x 20 seconds

=  1150 meters.

NEED HELP ASAPPP




Figure TUVW is transformed to T’U’V’W’, as shown:


Which of the following sequences of transformations is used to obtain figure T’U’V’W’ from TUVW?

Reflection about the y-axis followed by a translation left by 2 units
Reflection about the x-axis followed by a translation left by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units

Answers

The first sequence of transformation. 
If you look closely, the reflection was made from the y-axis. The reflection would be above or below the x-axis if the reflection was to be made through the x-axis. 
Also, the figure was moved 2 units to the left. Hence the reflection was moved 2 units from where the reflection should originally be which was (-6,-4). 

Hope this answer is helpful.

The correct answer is Reflection across the y-axis and then Translation 2 units to the left. In a translation, the sign on the x of every point is changed. The reflected image is too far to the left to be just a reflection or even a rotation. That is why I said it was translated 2 units

Step-by-step explanation:

Radius is 8 what is the area of the circle then ?

Answers

Hello!

We must use a certain formula to find the area of a circle. The formula is:

A = pi × r^2

Pi = Approximately 3.14

Radius = 8 cm

Substitute:

A = pi × r^2

A = 3.14 × 8^2

A = 3.14 × 64

A = 200.96

ANSWER:

The area of the circle is approximately 200.96 cm^2.

Did it tell u to use pi or 3.14
Using 3.14 itll be 200.96
Using actual pi it be 201.0619298 then it depends where to round

Mr. Nelson is buying property in the shape of a triangle to build a new house. If the property costs $42.50 per square foot, how much will he pay?

Answers

First, you find the area of the figure. Use the formula a=h(b/2)

a=h(b/2)
a=47(98/2)
a=47(49)
a=2303

Now, you multiply that by $42.50 to find out how much he will pay. 

2,303x42.50=97,877.50.

He will pay $97,877.50.
To find the area of a triangle, multiply the base by the height and divide by 2.
The figure shows a base of 98 ft and a height of 47 ft.

[tex] A = \dfrac{bh}{2} [/tex]

[tex] A = \dfrac{98~ft \times 47~ft}{2} [/tex]

[tex] A = 2,303 ~ft^2 [/tex]

Now that we know the area, we multiply it by the cost of the land per square foot.

2,303 ft^2 * $42.50/ft^2 = $97,877.50

He must pay $97,877.50

Last summer, Mike received a tip from 35% of his babysitting customers. If he had 20 customers, how many customers gave Mike a tip?

Answers

7 I think because you multiply 20 times 0.35
To solve you'll set up a proportion.

35/100 = x/20

cross multiply.

100x = 700

Now divide by 100.

x = 7

Estimate how many 12 inch rulers will be about the same length as a sheet of paper

Answers

The answer is 1 that's what I got cus I actually mesured my paper and it is 11 inches so it's 1 plz gimme brainliest!!!!

The correct answer is one 1.

the ratio of the areas of two similar polygons is 81:64. If the perimeter of the first polygon is 32 cm, what is the perimeter of the second polygon? Round to the nearest tenth

Answers

In two similar polygons, the ratio of their areas is the square of the ratio of their sides. If the sides of any polygon are a and b then :

Ratio of area =[tex] a^{2} :b^{2} [/tex]

Given ratio of area =81:64

Or 81:64=[tex] a^{2} :b^{2} [/tex]

Taking root of both sides

9:8=a:b

The ratio of perimeter of any two similar polygon is equal to the ratio of sides.

Ratio of perimeter = a:b

Perimeter of first polygon is 32 cm.

Let the perimeter of second polygon be x.

32:x=a:b

Or, 32:x=9:8

[tex] \frac{32}{x} =\frac{9}{8}
[/tex]

Cross multiplying

9x= (32)(8)

9x=256

Dividing both sides by 9

x=28.4.

The perimeter of second polygon is 28.4cm.



The original price of an item is $130. The item is on a discount of 1/5 off the original price. You then pay a sales tax of 10%. What is the amount you paid for the item?

Answers

Hello!

First, find 1/5 of $130, and then subtract that from the original price of the item, because it is a discount.

Divide the price of the item by 5.

130 ÷ 5 = 26

130 - 26 = 104

So, the price of the item (not including tax) is $104. Now, we must calculate the sales tax and then add that onto the price of the item, as tax is money collected by the government.

To calculate the tax, multiply the discounted price of the item by the percentage of tax, and then add it.

104 × 10% = 10.4

104 + 10.4 = 114.4

ANSWER:

The amount of money you paid fot the item is $114.4.

Pedro wants to paint his room, which is 12.5 feet by 11.5 feet, with an 8-foot-high ceiling. How many total square feet will Pedro need to paint?

Answers

Maybe 7.36 set up a proportion

Pre-Algrebra help neededdd!!!!

Answers

Your answer would be D.

if this answer is incorrect, then i am sorry..

Answer:

it is d

Step-by-step explanation:

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