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3 years ago

How many combinations of 3 students can a teacher choose from 32 students? A. 96 B. 4960 C. 29,760 D. 32,768

Mathematics

2 answers:

rusak2 [61]3 years ago

5 0

${32\choose3}=\frac{32!}{3!*(32-3)!}=\frac{30*31*32}{6}=4960$

Allisa [31]3 years ago

3 0

$\frac{32*31*30}{3*2*1}$

The answer is: $\frac{29760}{6}$ or $4960$

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Evaluate the expression below when x = 4, y = 5<br><br> 3(y-x) + 4y

likoan [24]

Answer:

Step-by-step explanation:

Brackets go first, 5 (y) - 4 (x) = 1. Now, 3 x 1 = 3, you do this because of the 3 next to the brackets. Now add them together.

4 0

3 years ago

Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t

gavmur [86]

Answer:

$x=-7$

Step-by-step explanation:

We have been given an equation $y=2x^2+28x+96$ . We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

$2x^2+28x+96=0$

Dividing both sides by 2:

$x^2+14x+48=0$

Splitting the middle term:

$x^2+6x+8x+48=0$

$(x^2+6x)+(8x+48)=0$

$x(x+6)+8(x+6)=0$

$(x+8)(x+6)=0$

Using zero product property:

$(x+8)=0\text{ (or) }(x+6)=0$

$x+8=0\text{ (or) }x+6=0$

$x=-8\text{ (or) }x=-6$

Therefore, the zeros of the given equation are $x=-8\text{ (or) }x=-6$ .

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

$\frac{-8+(-6)}{2}=\frac{-14}{2}=-7$

Therefore, the equation $x=-7$ represents the line of symmetry of the given parabola.

4 0

3 years ago

The grade 10 class is going to bake muffins. The recipe that they are going to use requires the following ingredients: RECIPE ✓2

Svet_ta [14]

The conversion of 2 liters into millimeters from the information regarding the muffins is 2000ml.

<h3>How to convert?</h3>

From the information, we are told to convert 2 litres into ml. This will be:

= 1000 × 2

= 2000ml

The number of eggs that will be bought to make 500 muffins will be:

= 500 × 2

= 1000 eggs.

Learn more about conversion on:

brainly.com/question/97386

#SPJ1

4 0

2 years ago

I can't figure it out

Strike441 [17]

Answer:

$\Huge\boxed {v=17360³}$

Step-by-step explanation:

● formulas of valume = πr²h

22/7×12×12×38•4 ft
3•14×144×38•4 ft
452•16×38•4 ft
17362•944 ft³

● now nearest to the number

17262•944 ft³ nearest tenth is 17360ft³.

Hope it's helps you

4 0

3 years ago

Read 2 more answers

Translate into an equation or inequality to solve: Two more than twice the sum of a number and 12 is greater than the difference

tamaranim1 [39]

Let say the number is 0.5
Then, sum of this number will be 0.5+0.5=1
Now two is twice of 1.
Hence, it proved to be correct.
And difference between 5 and 1 is 4 which is less than 12. It also match the question condition.

Answer: The number is 1.

3 0

3 years ago