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lions [1.4K]
3 years ago
6

There are 47 contestants at a national dog show. How many different ways can contestants fill the first place, second place, and

third place positions?
Mathematics
1 answer:
xxTIMURxx [149]3 years ago
3 0

Answer:

97290

Step-by-step explanation:

47 different people can win first

47

Now there are only 46 people left

46 different people can win second

46

45 different people can win third

47*46*45

97290

You might be interested in
A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.
Mariulka [41]

ANSWER

672cm²

EXPLANATION

The area of a regular hexagon is given by the formula,

Area =  \frac{1}{2} ap

where a=14cm is the apothem and p=96cm is the perimeter of the regular hexagon.

We substitute the values into the formula,

Area =  \frac{1}{2}  \times 14 \times 96 {cm}^{2}

Area =672 {cm}^{2}

Therefore the approximate area of the hexagon is 672cm²

8 0
3 years ago
Read 2 more answers
To the nearest hundredth of a yard, determine the circumference of the given circle. Approximate as 3.14. r=6
Bond [772]

Answer:

37.68

Step-by-step explanation:

c = 2 x 3.14 x 6

7 0
3 years ago
What is the common ratio between successive terms in the sequence?
ruslelena [56]

Answer:

1/3

Step-by-step explanation:

the formula of common ratio is given as

r = \frac{a2}{a1}

a1= 27 ,a2=9

r= 9/27

r= 1/3

3 0
2 years ago
Which equation represents the data in
klasskru [66]

Answer:

y = 2x - 4

Step-by-step explanation:

The equations are put in slope intercept form

Slope intercept form: y = mx + b

Where m = slope and b = y intersect

So in order to find the equation of the data represented by the table we will have to find the slope and y intercept

Let's begin!

First let's find the slope

We can find the slope by using the slope formula

m = (y2 - y1) / (x2 - x1) where the x and y values are derived from coordinates from the table

The points chosen may vary but I have chosen the points (0,-4) and (1,-2)

Now that we have chosen the points we will use to find the slope let's define the variables

remember coordinates are written like this: (x,y)

The x value of the second coordinate is 1 so x2 = 1

The x value of the first coordinate is 0

So x1 = 0

The y value of the second coordinate is -2 so y2 = -2

The y value of the first coordinate is -4

So y1 = -4

Now that we have defined each variable let's plug in the values into the formula

Formula: m = (y2 - y1) / (x2 - x1)

Variables: x2 = 1, x1 = 0, y2 = -2, y1 = -4

Substitute values

m = (-2 - (-4) / ( 1 - 0 )

Evaluate

The negative signs cancel out on top and it changes to +4

m = (-2 + 4)/(1-0)

Add top values

m = 2/(1-0)

Subtract bottom numbers

m = 2/1

Simplify fraction

m = 2

So we can conclude that the slope (m) = 2

Now let's find the y intercept or "b"

The y intercept is the value of y when x = 0

If you look at the table when x = 0 y = -4 meaning that the y intercept or "b" is -4

Now that we have found everything let's find the equation of the data represented by the table

The equation is in slope intercept form

y = mx + b

Define variables

m = 2 and b = -4

Substitute values

y = 2x - 4

The equation is y = 2x - 4

4 0
2 years ago
It’s asking to write an equation of the line with a slope...please help!!
Vlada [557]

Answer:

y = -3/4x - 6

Step-by-step explanation:

Use y-intercept (0, -6) and slope -3/4 and put into y=mx+b form to solve for b

Remember that m is also known as slope!

-6=(-3/4 * 0) + b

b= -6

y= -3/4x - 6

4 0
3 years ago
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