A race has 6 competitors. The winner gets a gold ribbon, the second-place finisher gets a blue ribbon, and the third-place finisher gets a red ribbon. In how many ways can the ribbons be awarded?

Answers

Answer 1

Answer:

120 ways

Step-by-step explanation:

Here, we want to calculate the number of ways in which the ribbons can be awarded.

There are 6 competitors and there should only be one first position. What this means is that there are 6 possible ways to become first and 6 possible ways to clinch the gold ribbon.

Now, looking at the second position, since one person already claimed the first, there would be only 5 of the competitors jostling for the second position. This means that the number of ways they can claim the blue ribbon is 5 ways

For the fourth position, there are only 4 competitors wanting to claim the red ribbon. This is because we already have winners for the first and second position.

The number of ways this can be done is thus 4 ways

Now the total number of ways the ribbons can be awarded would be 6 * 5 * 4 = 120 ways


Related Questions

# 1. Using the data set below find the MEAN:
15, 12, 7, 8, 6, 14, 8, 12, 17

Answers

Answer:

11

Step-by-step explanation:

15+12+7+8+6+14+8+12+17= 99

99 divided by 9 = 11

u divide it by 9 because u added 9 numbers together

Please help me with this question. I will award brainliest answer!!

Answers

Answer:

A. 13 ft

Step-by-step explanation:

Volume= [tex]\frac{4225pi }{3}[/tex]ft³

Height= 25

Volume= πr²[tex]\frac{h}{3}[/tex]

Volume= 3.14 ×r²×[tex]\frac{25}{3}[/tex]

[tex]\frac{157}{6}[/tex] r²= [tex]\frac{4225pi }{3}[/tex]

r²= [tex]\frac{4225\pi }{3}[/tex] × [tex]\frac{6}{157}[/tex]

r²= 169 (estimate)

r=√169

r= 13

4
Type the correct answer in each box.
If 4 pounds of sugar cost $2, the cost of 1 pound of sugar is $
and the cost of 10 pounds of sugar is $
Reset
Next

Answers

Answer:50 cents. $5

Step-by-step explanation: each pound of sugar costs 50 cents. you can find that out by dividing the amount of sugar you have by the cost.

1 pound of sugar cost $0.5
That’s mean 5 cent
And 10 pounds of sugar is $5

Find the measure of angle RQS.

Answers

Answer:

137°

Step-by-step explanation:

Because the minor arc formed by ∠SQT has a degree measure of 43, we know that ∠SQT is 43°. Because ∠RQS and ∠SQT are supplementary, ∠RQS = 137°

I think 137 Degrees

Find the volume of the square pyramid. The work has been started for you.


V = 1

3

Bh


B = 6.5(6.5) = 42.25 m2


A square pyramid. The square base has side lengths of 6.5 meters and the height of 6 meters.


What is the volume of the pyramid?

42.25 m3

84.5 m3

126.75 m3

253.5 m3

Answers

Answer:

84.5 cubic meters

Step-by-step explanation:

Hello, I can help you with this.the solution is shown in the problem

let's remember el volume of a pyramid

[tex]Volume= \frac{1}{3}*B*h[/tex]

where B is the area of the base of the pyramid, and h is its height.

Step one

all you have to do is put the values into the equation

Let

B=42.25 square meters

h=6 meters

[tex]Volume= \frac{1}{3}*B*h\\Volume= \frac{1}{3}*42.25\ m^{2} *6\ m\\Volume=\frac{1*42.25*6\ m^{3}}{3} \\Volume=84.5\ m^{3}[/tex]

I really hope this helps you, have a great day.

Answer:

84.5 cubic meters

Step-by-step explanation:

Hello, I can help you with this.the solution is shown in the problem

let's remember el volume of a pyramid

where B is the area of the base of the pyramid, and h is its height.

Step one

all you have to do is put the values into the equation

Let

B=42.25 square meters

h=6 meters

plz make brainliest

What is the interest rate if an $85 loan for 9 months earned $4.78?

6,0

5.7

8.3

7.5

Answers

Answer:

Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months

Step-by-step explanation: Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months, you ...

Answer:

7.5

Step-by-step explanation:

All the children of a class were asked to choose between the cartoon shows 'Shin Chan' and 'Tom and Jerry'.The ratio of children who selected the cartoon 'Shin Chan' to those who selected the cartoon 'Tom and Jerry', was 3:1.
If 45 kids selected 'Shin Chan', how many students are there in the class totally?

Answers

Answer:

There were 60 kids in class.

Step-by-step explanation:

Since the kids had two choices and the ratio between them was for every 3 children that selected "Shin Chan" only 1 selected "Tom and Jerry", then in order to calculate the number of children in the class if 45 kids selected "Shin Chan", we first need to calculate the number of children that selected the other option. To do that we divide the number by 3. We have:

children(Tom and Jerry) = children(Shin Chan)/3

children(Tom and Jerry) = 45/3 = 15

Therefore the number of children in the class is:

children(class) = children(Tom and Jerry) + children(Shin Chan)

children(class) = 15 + 45 = 60

There were 60 kids in class.

A veterinarian knows that a 50-pound dog gets 0.5 milligram of a certain medicine, and that the number of milligrams, m, varies directly with the weight of the dog, w. The vet uses these steps to find the amount of medicine to give a 10-pound dog.

Step 1 Find the constant of variation.
k = StartFraction 0.5 Over 50 EndFraction = 0.01
Step 2 Write the direct variation equation.
m = 0.01 w
Step 3
Substitute 10 into the equation to find the dosage for a 10-pound dog.
10 = 0.01 w
Step 4
Solve for w.
10 = 0.01 w. w = 1000.

The 10-pound dog needs 1000 milligrams.

In which step did the veterinarian make the first error?

Answers

In the third step, 10 is the mass of the dog. As such, it should have been substituted to w and not to m.

Answer:

its c/third step

Step-by-step explanation:

trust -w-

4th question help plzz with steps

I give brainly

Answers

Answer:

72 degrees

Step-by-step explanation:

A central angle equals the degree of the arc.

If the circumference is 20 and the arc is 4 than means the

arc is 4/20= 1/5 of the circumference.

A circles circumference is also always equal to 360 degrees.

So we need to find out what 1/5 of 360 is to find the degree of the arc.

So then 1/5*360= 72

so the Arc is equal to 72 degrees of the whole circle, which means the central angle is equal to 72  degrees as well.

B) David and Andrew are traveling to a Mathematics conference. David travels 110 miles in the same time that Andrew travels 140 miles. Andrew travels 15 miles per hour faster than David. Find the average rate of each person.

Answers

Answer:

David's average speed is 55 mph and Andrew's average speed is 70 mph

Step-by-step explanation:

Let David's speed be s.

Average speed is given as:

speed = distance / time

They both spent the same time, t.

David's speed is:

s = 110 / t

=> t = 110 / s

Andrew travels 15 mph faster than David.

Andrew's speed is:

(15 + s) = 140 / t

=> t = 140 / (15 + s)

Therefore, since they spent the same time:

110 / s = 140 / (15 + s)

Cross multiply:

110(15 + s) = 140s

1650 + 110s = 140s

1650 = 140s - 110s

30s = 1650

s = 1650 / 30

s = 55 mph

Andrew's speed is:

15 + 55 = 70 mph

Therefore, David's average speed is 55 mph and Andrew's average speed is 70 mph.

21/-21. What is 21 divided by negative 21?

Answers

Answer:

-1

Step-by-step explanation:

Answer: 21/-21=-1

Step-by-step explanation:cut 21 two time,and add the minus and the answer -1

What scenario could be modeled by the graph below?

A. The number of pounds of apples, y, minus two times the number of pounds of oranges, x, is at most 5.
B. The number of pounds of apples, y, minus half the number of pounds of oranges, x, is at most 5.
C. The number of pounds of apples, y, plus two times the number of pounds of oranges, x, is at most 5.
D. The number of pounds of apples, y, plus half the number of pounds of oranges, x, is at most 5.

Answers

Answer:

I would believe that it is A.

Step-by-step explanation:

The fact that A has 5, and x is minus two times, 5/2= 2.5, and that is where the second arrowhead is pointing to on the x axis.

The number of pounds of apples, y, minus two times the number of pounds of oranges, x, is at most 5 which is correct option (A).

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

What is a Linear Function?

A linear function is defined as a function in the form of f(x) = mx + bc where 'm' and 'c' are real numbers.

It represents the line's slope-intercept form, which is written as y = mx + c.

This is because a linear function represents a line, i.e., its graph is a line. Here,

'm' is the slope of the line

'c' is the y-intercept of the line

'x' is the independent variable

'y' (or f(x)) is the dependent variable

According to given graph,

A has a value of 5, and since x is negative two times, 5/2=2.5, which is where the second arrowhead on the x axis is pointing.

So, the total  number of the pounds of apples, y minus two times, and the pounds of oranges, x, equals at most five pounds.

Hence, the number of pounds of apples, y, minus two times the number of pounds of oranges, x, is at most 5.

Learn more about graph here:

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A cone is cut by a plane as shown, parallel to the base. The cross-section of the cone and the plane is...

Answers

Answer:

a circle

Step-by-step explanation:

parallel to the base meaning that it has to be parallel to the circle on the bottom of the base.  Picture yourself cutting the cone where the plane is and see what shape that is.  It's a circle

Drew rolls two number cubes 75 times. Is it likely that she will get a sum of 3 more than 5 times?

Answers

Answer:

Yes, She is

Step-by-step explanation:

There are 36 possible outcomes of rolling two dice cubes once. For every roll, the probability that she would get the sum of 3 twice. So for 75 rolls, The probability of getting a sum of 3 = 2 * 75 = 150

A cell phone company tests 95 cell phones and finds that 7 of them have defects. Out of 760 cell phones, how many would you expect to have defects?
You can predict that
of the cell phones will have defects.

Answers

Answer: 60

Step-by-step explanation:

From the question, a cell phone company tests 95 cell phones and finds that 7 of them have defects. This. means that 7/95 are defective.

If 760 cell phones are tested, the number that will be expected to have defects will be:

= 7/95 × 760

= 59.99

= 60 Approximately

Answer:

56 C:

Step-by-step explanation:

Just divide 95 by 7 yes you heard me right then multip,y by 760 you can use calculator to get 56

If the volume of a cylinder 30 cm high 4620cm^3 find radius​

Answers

Answer:

7 cm to 1 decimal place

Step-by-step explanation:

We need to know one formula in order to solve this question and it's the volume of a cylinder formula which is π × r² × h where 'r' is the radius and 'h' is the height, we want to work out the radius not the volume so we have to set up an equation to solve for the radius given the information that the volume of the cylinder is 4620 cm³ and the height is 30cm so

→ Step 1 form the equation

π × r² × h = 4620

→ Step 2, substitute in the values in this case we only need to substitute in the height

π × r² × 30 = 4620

→ Step 3, divide 30 from both sides to isolate π and r²

π × r² = 154

→ Step 4, divide both sides by π to isolate r²

r² = 154 ÷ π

r² = 49.0197224723

→ Step 5, square root both sides to isolate 'r'

r = 7.0014086063

So the radius of the cylinder is 7 cm to 1 decimal place

Answer:

7.00 cm.

Step-by-step explanation:

V = π r^2 h so

r^2  = V / π h

r = +√(V / πh)

r =  +√( 4620 / 30π)

r = 7 .00cm.

Find the width of a cereal box that has a volume of 11,340 cm3 and is 35 cm long and 36 cm high.

Answers

Answer:

The width is 9 cm

Step-by-step explanation:

L(W)(H) = V

35(W)(36) = 11340

Solve for w

35w(36) - 11340

1260w=11340

divide both sides by 1260 to get 9

Answer:

60,000 cm3

Step-by-step explanation:

cool right

What is the measure of

Answers

Answer:

The measure is the measure that it is you forgot the picture

Step-by-step explanation:

You forgot to put the picture of the question

PLEASE HELP!!

Which method would be used to best prove the two triangles are similar? (Reminder, arrows represent parallel lines.)

A. AA Similarity Theorem
B. ASA Similarity Theorem
C. SAS Similarity Theorem
D. SSS Similarity Theorem
E. There is not enough information provided

Answers

Answer:C

Step-by-step explanation:Both sides are dilated by 2.5. The bottom line of both triangles are connected, and the left side is parallel, which means that they have the same angle making it SAS~


What is the slope of the line that
(2,4), (6,2)

Answers

Look at the attached picture

Hope it will be helpful to you....

-pragya~~

Vivian red 14 fewer pages than she was assigned to read she read 60 Pages write and solve an equation to find how many pages P Vivian was assigned to read

Answers

Answer:

P=74

Step-by-step explanation:

i think the answer is p = 74!

Find the length QR.
if QP is 6 and PR is 7​

Answers

Answer: Problee like 20 ft

Step-by-step explanation:

Beetle juice never lies

if ZA and ZB are supplementary angles. if mZA = (3x-23) and mZB= (2x-12) then find the measure of ZB​

Answers

Answer:

mZB= 74

Step-by-step explanation:

ZB+ZA=180

3X-23+2X-12=180

5X-35=180

5X=180+35

5X=215  (then divide both sides by 5 to x be left alone.)

X=43....so ZB=2(43)-12

                     =86-12=74

help plzz. I Give brainly.

With steps plezz

Answers

Answer:

64°

Step-by-step explanation:

33k-9=90 (being a right angle)

33k=90+9=99

k=99/33=3

CD=20×3+4=64°

Answer:

arc CD = 64 degrees

Step-by-step explanation:

Find out k value: 33k-9+90=180

33k+81=180

33k=99

k=3

Substitute it in: 20(3)+4=60+4=64

SInce CPD is a central angle, arc CD = 64 degrees

I hope this helped and have a good rest of your day!

Are those line below parallel,perpendicular,intersecting? Explain how you know.

Answers

Answer:

These are paralell because they are even to eachother

Step-by-step explanation:

perpendicular means that they are like a plus sign

and intersecting means they intersect at some point.

Answer:

The answers is They are parallel because they are even and there is no difference between the two.

Hope This Helps!!!!! :)

help me whit this pls

Answers

Answer:

960cbin

Step-by-step explanation:

Answer:

320

Step-by-step explanation:

The formula for the volume of a pyramid is V= (b x h)/3

v is the volume

b is the base you get it by multiplying the bases length and width in this case it would be 80 in( since 8 x 10 is 80)

h is the height in this case it would be 12 in

V= (b x h)/3

V= (80 x 12)/3

V= (960)/3

V= 320 in

PLEASE HELP!!

Howard has been asked to draw a map of the Federalist Triangle in Washington, D.C. (pictured below) The actual
Federalist Triangle has a base of 3000 ft. and a height of 1200ft. On Howard's map the base of the triangle is 10
inches. What should the height of the triangle be?

A. 2 inches
B. 4 inches
C. 6 inches
D. 8 inches
E. There is not enough information to determine​

Answers

The answer would be B - 4

In the problem 8^3 - 10 × 5 - 4, which step should you perform first?

Answers

Answer:

PEMDAS

Step-by-step explanation:

P=Parenthesis

E=Exponent

M=Multiply

D=Division

A=Addition

S=Subtract

The first step you should perform is the exponent 3 of base 8.

What is BODMAS Rule?

BODMAS rule is the rule used when solving expressions involving more than one operations.

It is the abbreviation of Brackets, Order, Division, Multiplication, Addition, Subtraction, which is the order of the operations to be done.

The given expression is 8³ - 10 × 5 - 4.

We know the rule of BODMAS.

since the given expression includes more than one operations, we have to follow the rule of BODMAS.

There are no brackets in the expression.

There is a power of 3 for the base 8.

We should perform that in the first step.

8³ - 10 × 5 - 4 = 512 - 10 × 5 - 4

Next we do the operation of multiplication.

512 - 10 × 5 - 4 = 512 - 50 - 4

There is subtraction.

512 - 50 - 4 = 566

Hence the operation of the power is done first.

Learn more about BODMAS here :

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What is the y-intercept of y=-3x + 6?
A. -6
B. -3
C. 3
D. 6

Answers

Answer:

D. 6

Step-by-step explanation:

the last number in the equation is the y-intercept. The answer properly written would be (0,6). Hope this helped!

Answer:

D

Step-by-step explanation:

The width of a rectangle is 5 inches. The length of the rectangle is twice the width. Find the perimeter of the rectangle.



PLZZZZZZZZ HELP

Answers

Answer: the perimeter of the rectangle is 30

Step-by-step explanation: so we know that the width of the rectangle is 5. Then it says that the length is two times more than the width....

5 times 2

Which is 10

Now all is left, you find the perimeter (all sides)

5+5+10+10

10+20

30

Therefore,

The perimeter of the rectangle is 30

Answer: 30

Step-by-step explanation: If the width is 5 and the length is twice the width then the length is going to be 10.

p=2(L+W)= 2(10+5)

                  2 x 15= 30

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