1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Soloha48 [4]
2 years ago
6

There are 15 students in a social studies class. Two students will be selected to present their term projects today. In how many

different orders can two students be selected?
Mathematics
1 answer:
xz_007 [3.2K]2 years ago
5 0
Given:
15 students
2 students must be chosen.
No repetition, no order

This is a combinations problem. We use this formula: n! / (n-r)!(r!)

n = 15 ; r = 2

15! / (15-2)!(r!) ⇒ 15! / 13! * 2! = 105 
You might be interested in
5. Priya mixes 2..5 cups of water with 1/3 cup or orange juice concentrate. Diego mixes 1 2/3 cups of water with 1/4 cup or oran
Snowcat [4.5K]

Priya needs 13⅓ cups of orange juice

Diego 15 cups

Step-by-step explanation:

......................................................................................................................

Priya

......................................................................................................................

Cup of water = 2½

Cup of orange = ⅓

If 2½ cups of water requires ½ cup of orange juice concentrate

Then 100 cups of water would require x cup of orange

Representing the above statement mathematically

2½ : ⅓ = 100 : x

5/2 : 1/3 = 100 : x ------------------Convert ratio sign to division

5/2 ÷⅓ = 100/x

5/2 * 3 = 100/x

15/2 = 100/x ---------------Multiply both sides by x

15/2 * x = 100/x * x

15x/2 = 100 ------------------ Multiply both sides by 2

2 * 15x/2 = 2 * 100

15x = 200 --------------- Divide both sides by 15

x = 200/15

x = 13⅓

So, 13⅓ cups of orange is needed by Priya

......................................................................................................................

Diego

......................................................................................................................

Cup of water = 1⅔

Cup of orange = ¼

If 1⅔ cups of water requires ¼ cup of orange juice concentrate

Then 100 cups of water would require x cup of orange

Representing the above statement mathematically

1⅔:¼ = 100:x

5/3 : ¼ = 100:x

5/3 ÷¼ = 100 ÷ x

5/3 * 4/1 = 100 ÷ x

20/3 =100/x----------------------- Multiply x to both sides

20/3 * x = 100/x * x

20x/3 = 100 ------------------------ Multiply 3 to sides by 3

3 * 20x/3 = 100 * 3

20x = 300 ------------- Divide both sides by 2

20x/20 = 300/20

x = 15

So, 15 cups of orange is needed by Diego

6 0
3 years ago
The Mp of coke is 20%more than its purchased price.if the coke was sold after 15%duscount,there will be gain of rs.40,find the M
Goshia [24]

Answer:

let cp be x

mp= x+ (20% 0f x)= 1.2x

sp = mp -d%of mp= 1.2- 15% *1.2 =1.02x

profit = 40

sp-cp =40

1.02x-x=40

x=2000

cp =2000

mp= 1.2*2000=2400

Step-by-step explanation:

4 0
3 years ago
Using the Segment Addition Postulate, find the value of m.
Naya [18.7K]

Answer:

36

Step-by-step explanation:

AB + BC = AC

4m - 15 + 5m - 6 = 15

m - 21 = 15

m = 36

4 0
3 years ago
The perimeter of the rectangle is 146 units. What is the length of the longer side?
NeTakaya

we know that

the perimeter of the rectangle is equal to

P=2W+2L

where

P is the perimeter of the rectangle

W is the width of the rectangle

L s the length of the rectangle

In this problem

P=146\ units \\ W=2x\\ L=3x+3

Substitute the values in the formula above

P=2W+2L\\ 146=2*(2x)+2*(3x+3)\\ 73=2x+3x+3\\ 5x=70\\ x=14\ units

W=2x=2*14=28\ units\\ L=3x+3=3*14+3=45\ units

therefore

the answer is

the length of the longer side of the rectangle is equal to 45\ units

7 0
3 years ago
Read 2 more answers
Write 1 and 1/3 as an improper fraction
Anon25 [30]

Answer:

The answer is 4/3

Step-by-step explanation:

to find this multiply denominator of the fraction (3) by the whole number,e.t.c.

3 0
3 years ago
Read 2 more answers
Other questions:
  • In her seventh grade pre-algebra class, Ms. Cornelius gave a standardized exam prepared by the district math department. Student
    15·1 answer
  • My brother is wondering what 100÷1,000,000 equals.
    8·2 answers
  • Negative 50 over negative 5 integers
    6·1 answer
  • A department store buys 100 shirts at a cost of $800 and sells them at a selling price of $10 each. Find t
    7·1 answer
  • your job pays 8$ per hour Write a variable expression for your pay in dollars for working h hours. What is your pay if you work
    12·1 answer
  • The sum of the squares of two positive numbers is 41 and the difference of the two squares of the numbers is 9. Find the numbers
    10·1 answer
  • Given the functions f(x) = x² – 8 and g(x) = 4-x, determine the equation for the combined function
    7·1 answer
  • If we solve h(x) = 36, one of the possible values of x is 1
    15·1 answer
  • Which of the following is an irrational number?<br> OA) - 16<br> OB) 0.4<br> OC) 74<br> OD) 16
    13·1 answer
  • Which statement is true about the function f(x)= Vx?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!