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julia-pushkina [17]
3 years ago
7

Student A spent $9 on a bottle of school glue, a package of colored pencils, and a pencil pouch. Student B

Mathematics
1 answer:
tino4ka555 [31]3 years ago
8 0

Answer:

Step-by-step explanation:

...

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There are 13 students in a​ class: 8 are wearing all blue and 5 are wearing all green. The teacher assigns seats at random. How
Ulleksa [173]

Using the arrangements formula, the number of distinct seating arrangements is:

1287.

<h3>What is the arrangements formula?</h3>

The number of possible arrangements of n elements is given by the factorial of the number n, that is:

A_n = n!

When elements are divided and classified with repetition, the number of arrangements is given as follows:

A_n^{n_1, n_2, \cdots, n_n} = \frac{n!}{n_1!n_2! \cdots n_n}

In the context of this problem, the parameters are given as follows:

  • n = 13, as there are 13 students in the class.
  • n_1 = 8, as 8 of the students are wearing all blue.
  • n_2 = 5, as 5 of the students are wearing all red.

Hence the number of distinct seating arrangements is calculated as follows:

A_{13}^{8,5} = \frac{13!}{5!8!} = 1287

More can be learned about the arrangements formula at brainly.com/question/20255195

#SPJ1

8 0
1 year ago
I need help on these 2 questions, please and thank you!
VikaD [51]

Answer:

1.1 : C - x^2 + x - 2

1.2 : A - 4a^2 - 6b^2 + 12

Step-by-step explanation:

When we have the expression p(x) - q(x), we can substitute those functions in:

(x^2 + 2x - 5) - (x - 3)

We can distribute:

x^2 + 2x - 5 - x + 3

and then combine like terms(2x & -x, -5 & 3)

x^2 + x - 2

This is the same as C.

We can start by distributing:

a^2 - 2b^2 + 3 - 4b^2 + 5 + 3a^2 + 4

Now, we can combine all the a^2 terms(a^2 & 3a^2):

4a^2 - 2b^2 + 3 - 4b^2 + 5 + 4

Then, we can combine the b^2 terms(-2b^2 & -4b^2):

4a^2 - 6b^2 + 3 + 4 + 5

and lastly, all the constants:

4a^2 - 6b^2 + 12

This aligns with option A

5 0
2 years ago
Help me cause I want answers
Taya2010 [7]

Answer:

I would, but I can't see the question because of all the glare

6 0
3 years ago
Read 2 more answers
Ahmad drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
Lady_Fox [76]
<span>55 miles from the mountains
</span>
6 0
3 years ago
In isosceles triangle WXY, XY is 13 inches in length and WY is 10 inches. What is the length of XZ? answer asap please
Anna11 [10]
<h3>Answer:  12 inches</h3>

=============================================================

Explanation:

Notice the double tickmarks on segments WZ and ZY. This tells us the two segments are the same length. Let's say they are m units long, where m is a placeholder for a positive number.

That would mean m+m = 2m represents the length of segment WY, but that's equal to 10 as the diagram shows. We have 2m = 10 lead to m = 5 after dividing both sides by 2.

We've shown that WZ and ZY are 5 units long each. In short, we just cut that length of 10 in half.

-----------------------------------

Let's focus on triangle XYZ. This is a right triangle with legs XZ = unknown and ZY = 5. The hypotenuse is XY = 13.

We'll use the pythagorean theorem to find XZ

a^2 + b^2 = c^2

(XZ)^2 + (ZY)^2 = (XY)^2

(XZ)^2 + (5)^2 = (13)^2

(XZ)^2 + 25 = 169

(XZ)^2 = 169-25

(XZ)^2 = 144

XZ = sqrt(144)

XZ = 12

Segment XZ is 12 inches long.

8 0
2 years ago
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