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stepladder [879]
2 years ago
6

A gym class has $12$ students, $6$ girls and $6$ boys. The teacher has $4$ jerseys in each of $3$ colors to mark $3$ teams for a

soccer tournament. If the teacher wants at least one girl and at least one boy on each team, how many ways can he give out the jerseys
Mathematics
1 answer:
astra-53 [7]2 years ago
6 0

Answer:

2700

Step-by-step explanation:

*6*10*9/4!*4*4*6*5/4!

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Given A = {x | x < 1}, B = {x | x ≥ 5}, and C = {x | x = 5}, match the following items. 1. A B Ø 2. A C {x | x ≥ 5} 3. B C {x
ivann1987 [24]

Answer:

The matching is shown below.

Step-by-step explanation:

The given sets are defined as

A = {x | x < 1}

It means all the values of x which are less than 1.

B = {x | x ≥ 5}

It means all the values of x which are greater than or equal to 5.

C = {x | x = 5}

It means all the value of x is 5.

Union of two sets contains all the elements of both sets.

Intersection of two sets contains only common elements of both sets.

The matching is shown below.

        Sets                              Correct value

1.     A ∪ B                         {x | x < 1 or x ≥ 5}

2. A ∪ C                         {x | x < 1 or x = 5}

3. B ∪ C                         {x | x ≥ 5}

4. A ∩ B                         Ø

5. B ∩ C                         {x | x = 5}

6 0
3 years ago
2 consecutive even numbers add to equal 178. What is the smallest of the 2 numbers?
Diano4ka-milaya [45]

Answer:

The smallest number is 88

Step-by-step explanation:

Let

x ----> the first consecutive even number

x+2 --->the second consecutive even number

we know that

The linear equation that represent this problem is given by

x+(x+2)=178

solve for x

2x=178-2\\2x=176\\x=88

so

x=88\\x+2=88+2=90

therefore

The smallest number is 88

4 0
3 years ago
Determine the salary per pay period. Law Clerk: $48,950; weekly. Round to the nearest Hundredth.
Viktor [21]
49,000 is the nearest round to the hundredth to 48,950
4 0
2 years ago
What is the horizontal asymptote of f(x) = (2x+1)/ (x^2-4x+3) +2
evablogger [386]

Answer:

x=3 and x=1

Step-by-step explanation:Horizontal asymptote will occur at x=3 and x=1.

You have to factorize the denominator and find the zeroes of the denominator.  That is how you find out the horizontal asymoptote.

6 0
3 years ago
How do you solve system of equations word problems?
kaheart [24]
Well first you have to figure out what you need to solve. then you write out the two equations and solve the system s from there
5 0
3 years ago
Read 2 more answers
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