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kipiarov [429]
3 years ago
11

There are 12 students in a graduate class. The students are to be divided into three groups of 3, 4, and 5 members for a class p

roject. How divisions are possible?
Mathematics
1 answer:
exis [7]3 years ago
8 0

Answer:

27720

Step-by-step explanation:

Given that there are 12 students in a graduate class. The students are to be divided into three groups of 3, 4, and 5 members for a class project.

From 12 students 3 students for group I can be selected in 12C3 ways.

Now from remaining 9, 4 students can be selected for II group in 9C4 ways

The remaining 5 have to be placed in III group.

Hence possible divisions for grouping the 12 students in the class into three groups

= 12C3 *9C4

= =220*126=27720

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What are the x and y intercepts of the equation: 10x + 4y = -20?
snow_tiger [21]

Answer:

x= (-2, 0) y=(0, -5)

Step-by-step explanation:

or you could say -2 and -5

3 0
2 years ago
Determine if the two lines with the given slope are parallel, perpendicular, or neither. Circle your
Sati [7]

Answer:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

Step-by-step explanation:

Given

m₁ = 3/2

m₂ = -3/2

We know that when two lines are parallel, they have equal slopes

But

m₁ ≠ m₂

3/2 ≠ -3/2

As the m₁ and m₂ are not equal.

Hence, the lines are not parallel.

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = 3/2 × -3/2

              = -9/4

              = -2.25

As

m₁ × m₂ ≠ -1

Thus, the lines are not perpendicular.

Conclusion:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

8 0
2 years ago
Jane orders cheese pizza from a pizza restaurant that charges $8 per pizza , Jane cost, in dollars, is a function of the numbers
neonofarm [45]

search des mos on goo gle click graphing calculator type in the equation y =-8x+45 and then copy the graph, I suggest doing one digits and also you didn't send the full question

She can get 5 pizzas using all her money

Finding Maxmium She Can Get

8.00*n ≤ 45.00

n ≤ 45/8 = 5.625

Jane can order at most 5 pizzas.

5 0
3 years ago
P, Q & R form a right-angled triangle.
Naya [18.7K]

Answer:

m<RPQ = 22°

Step-by-step explanation:

Given:

m<SRQ = 90°

PS = PQ

m<SQR = 46°

Required:

m<RPQ

Solution:

m<SQR + m<SRQ + m<RSQ = 180°

Substitute

46° + 90° + m<RSQ = 180°

m<RSQ = 180° - 136°

m<RSQ = 44°

Find m<PSQ:

m<PSQ = 180° - m<RSQ (Angles on a straight line

m<PSQ = 180° - 44° (Substitution)

m<PSQ = 136°

Find m<RPQ:

∆QSP is an isosceles triangle with two equal base angles. Therefore:

m<RPQ = ½(180° - 136°)

m<RPQ = 22°

4 0
3 years ago
write a word problem that can be solve by drawing an array. Then draw the array and solve the problem.
Alborosie
The answer is B hope this helped
4 0
3 years ago
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