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shtirl [24]
3 years ago
8

To win at LOTTO in one​ state, one must correctly select 4 numbers from a collection of 50 numbers​ (1 through 50​). The order i

n which the selection is made does not matter. How many different selections are​ possible?
Mathematics
1 answer:
Oksana_A [137]3 years ago
4 0

Answer:

230,300 different selections.

Step-by-step explanation:

If the order does not matter, the number of possible different selections is determined as the combination of choosing four numbers out of 50:

n=\frac{50!}{(50-4)!4!}\\\\n=\frac{50*49*48*47}{4*3*2*1} \\\\n=230,300\ combinations

There are 230,300 possible different selections.

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You and a group of 7 friends go out for pizza. One large pizza and 3 medium drinks cost $21.96. One large pizza and 6 medium dri
Doss [256]

Answer:

Step-by-step explanation:

x = cost of drink

y = total cost

First information: "one large pizza and 3 medium drinks cost $21.96":

3a + b = 21.96

Second information: "one large pizza and 6 medium drinks cost $30.93":

6a + b = 30.93

{3a + b = 21.96

{6a + b = 30.93

{- 3a - b = - 21.96

{6a + b = 30.93

3a = 8.97

a = 2.99

3a + b = 21.96

3•2.99 + b = 21.96

8.97 + b = 21.96

b = 21.96 - 8.97

b = 12.99

Each drink costs $2.99 and each pizza costs $12.99. The linear function rule is:

y = 2.99x + 12.99

I hope I've helped you.

8 0
3 years ago
Carlos finds the absolute value of -5.3, and then finds the opposite of his answer. Jason finds the opposite of -5.3 and then fi
polet [3.4K]
The absolute value is how far away a number is from the number line, so it is always positive. If Carlos finds the opposite of the absolute value, that means he found the negative version. So Jason's final value will be greater.
4 0
3 years ago
Read 2 more answers
Question 24 Multiple Choice Worth 1 points)
hammer [34]

Given:

The system of equations is:

Line A: y=x-4

Line B: y=3x+4

To find:

The solution of given system of equations.

Solution:

We have,

y=x-4              ...(i)

y=3x+4           ...(ii)

Equating (i) and (ii), we get

x-4=3x+4

-4-4=3x-x

-8=2x

Divide both sides by 2.

-4=x

Substituting x=-4 in (i), we get

y=-4-4

y=-8

The solution of system of equations is (-4,-8).

Now verify the solution by substituting x=-4, y=-8 in the given equations.

-8=-4-4

-8=-8

This statement is true.

Similarly,

-8=3(-4)+4

-8=-12+4

-8=-8

This statement is also true.

Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.

8 0
3 years ago
A . 12<br> B . 15<br> C . 36<br> D .39
yulyashka [42]

Answer:

The answer is 36 or c all you need to do is multiply 12 by 3

7 0
3 years ago
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Pls helppppp with my math​
kow [346]

Answer:

\frac{1}{6}

Step-by-step explanation:

6 0
3 years ago
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