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
gogolik [260]
2 years ago
12

How many different ways are there to arrange the letters of the word PRISM?

Mathematics
1 answer:
Advocard [28]2 years ago
6 0

Answer:

5! (5 factorial) or 120 ways

Step-by-step explanation:

You can arrange P different ways. R can be arranged only 4 different ways because Pwill be in one of the spots. Next, you can arrange "I" 3 different ways because P and R are already arranged in 2 spots, meaning you cant put "I" there. Next, S can be arranged in 2 different ways for the same reason. And lastly, M can only be arranged in 1 different way because the other spots are taken.

You can put it in any order. For example, M could be arranged 5 ways and P could be arranged in 1 way. You will still get 120 ways

Hopefully this helped. The explanation might be a bit confusing but I tried my best. I'm not good with explaining my solutions but I always try

You might be interested in
What is the definition for a line segment
Monica [59]

Answer: A line segment is a part of a line. It has 2 endpoints.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$43 thousand less than twice that of an
natka813 [3]

Answer:

A person who holds a master's degree would earn an average $63,000

A person who holds a bachelor's only would earn an average $53,000

Step-by-step explanation:

We will need to construct equations from the sentences.

Firstly, let the yearly average for a master's degree holder be m and that of bachelor's be b.

Now, we know that someone with a master's earn 43000 less than twice what someone with bachelors earn.

Mathematically,

m = 2b - 43,000

Combined, they have an average salary of 116,000

Mathematically,

m + b = 116,000

Now we have 2 equations to solve simultaneously.

m = 2b - 43,000 ......(i)

m + b = 116,000 .......(ii)

We can sub I into ii

2b - 43,000 + b = 116,000

2b+b = 116,000 + 43,000

3b = 159,000

b = 159,000/3 = 53,000

m = 2b - 43,000

m = 2(53,000) - 43,000 = 63,000

6 0
3 years ago
A triangle has a 90° angle. What type of triangle is it?
gavmur [86]
A right triangle has one angle equal to 90 degrees. A right triangle can also be an isosceles triangle--which means that it has two sides that are equal. A right isosceles triangle has a 90-degree angle and two 45-degree angles. This is the only right triangle that is an isosceles triangle. But the answer is right triangle
7 0
2 years ago
Read 2 more answers
A store sells 3 cans of Pringle’s for $5. How much would it cost you to buy 12 cans of pringles
LekaFEV [45]

Answer:

20 because of math

8 0
3 years ago
Factor the expression below 36a2-25b2 which binomial is factor of the expression
Serhud [2]

Answer: (6a + 5b) • (6a - 5b)

 

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "b2"   was replaced by   "b^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (36 • (a2)) -  52b2

Step  2  :

Equation at the end of step  2  :

 (22•32a2) -  52b2

Step  3  :

Trying to factor as a Difference of Squares :

3.1      Factoring:  36a2-25b2

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  36  is the square of  6

Check : 25 is the square of 5

Check :  a2  is the square of  a1

Check :  b2  is the square of  b1

Factorization is :       (6a + 5b)  •  (6a - 5b)

Final result :

 (6a + 5b) • (6a - 5b)

brainly would epic!

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the efficiency of a machine that produces 4500 joules of output work for every 4250 joules of input work? (remember to p
    9·1 answer
  • Tia cut a 4 meter 8 centimeter wire into 10 equal pieces. Marta cut a 540 centimeter wire into 9 equal pieces. how much longer i
    9·2 answers
  • Tch, hi ok help. thanks bye
    9·1 answer
  • Olga flips 2 fair coins. What is the probability of obtaining a different result on each coin?
    9·2 answers
  • The height of a man is 1.7 m what is this height in centimeter
    10·1 answer
  • If Sn=2^n-1<br><br>what's the expression of<br>Sn-1?​
    15·1 answer
  • Services provided by public service companies are also known as _____.
    10·1 answer
  • HELLO POGGERS PLS HELP ME ONT HIS QUESTION!!!
    13·2 answers
  • What number could t represent to make the inequality true? 2t+4&lt;-8
    13·1 answer
  • As seen in the diagram below, Shandra is building a walkway with a width of feet
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!