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Vlada [557]
4 years ago
13

The trifecta at most racetracks consists of selecting the​ first-, second-, and​ third-place finishers in a particular race in t

heir proper order. If there are nine entries in the trifecta​ race, how many tickets must you purchase to guarantee a​ win?
Mathematics
1 answer:
ziro4ka [17]4 years ago
3 0

The total tickets to be purchased to guarantee the win =  504 tickets

Step-by-step explanation:

Step 1 :

Number of entries in the trifecta race = 9

The win is to select the first finisher, second finisher and third finisher in their proper order.

We need to find the number of tickets to be purchased to guarantee the win

Step 2 :

Number of ways to select the first finisher = 9

Number of ways to select the second finisher = 8 [the first is selected and fixed. So the number of available finishes is reduced by 1]

Number of ways to select the third finisher = 7

Hence the total tickets to be purchased to guarantee the win = 9 × 8 × 7 = 504

Step 3 :

Answer :

The total tickets to be purchased to guarantee the win =  504 tickets

             

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ABCD is a parallelogram. Find the values of x and y. Solve for the value of z, if z=x−y.
slava [35]

Answer:

C

Step-by-step explanation:

Parallel and opposite sides of a parallelogram are equal. Hence, we can say:

x + 30 = 2x - 10

and

2y-10 = y +10

Solving first one, we get:

x + 30 = 2x - 10

30+10 = x

x = 40

Also

2y - 10 = y + 10

y = 10 + 10

y = 20

Now, z = x - y, so

z = 40 - 20 = 20

Answer C is right.

3 0
3 years ago
PLEASE HELP
Vladimir [108]

Answer:

5.5 inches

Step-by-step explanation:

1) the formula to find the area of a square is l^2= area and l=length

in this case we already know the area but not the length

so we have to find the square root of 30 as the opposite operation needs to be used to find the missing number

so

√30= 5.47

5.47 rounded= 5.5

the length of one side is 5.5 in

5 0
3 years ago
Two glasses of milk and 4 snack bars have a total of 76 carbohydrates (carbs), and 4 glasses of milk and 3 snack bars have a tot
galina1969 [7]

Answer:

10 carbs in snack bars

14 carbs in milk

Step-by-step explanation:

Glasses of Milk = m

Snack Bars = s

I am going to make this a system of equations:

2m + 3s = 58

4m + 2s = 76

I am going to simplify one of them for a s:

4m + 2s = 76

2s = 76 - 4m

s = 38 - 2m

I am going to insert this into the other equation:

2m + 3s = 58

2m + 3(38 - 2m) = 58

2m + 114 - 6m = 58

(-4)m + 114 = 58

(-4)m = -56

m = 14 calories

I am going to plug this m into one of the equations (doesn't matter which):

2(14) + 3s = 58

28 + 3s = 58

3s = 30

s = 10

You can plug these values back into each of the equations to make sure they work.

Hope it helps! UvU

4 0
3 years ago
(1/3)x-4(-1)=2 solve for x.
Elodia [21]

Answer: X = -6

Easy Peasy

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3 years ago
Explain why 2n+1 must be an odd number
Lorico [155]
If is an integer (a whole number), then the expression represents an even number, because even numbers are the multiples of 2. The expressions 2 n − 1 and 2 n + 1 can represent odd numbers, as an odd number is one less, or one more than an even number.
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3 years ago
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