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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

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Explain how you can use the area model to find the number of miles that Lisa walks
kirill115 [55]

Answer:The area method, also sometimes called the box method, is an alternative to the standard algorithmic method (see below) for long multiplication.The standard algorithm is generally a faster method but, unlike the area method, it does not promote understanding or encourage the development of mathematical thinking.please mark as brainliest

Step-by-step explanation:

8 0
3 years ago
What is equivalent to i-1?
victus00 [196]

Answer:

The square root of minus one √(−1) is the "unit" Imaginary Number, the equivalent of 1 for Real Numbers.

Step-by-step explanation:

5 0
3 years ago
Find the area of the figure!!! Pleaseee don’t give a big explain Atom i have exactly 17 minutes to get to 90 on ixl!
prohojiy [21]

Answer:

137 m²

Formula's:

  • area of rectangle: length + width
  • area of triangle: 1/2 * base * height

Explanation:

⇒ area of rec + area of rec + area of rec + area of triangle

⇒ 2 * 4 + 7 * 6 + 8 * 9 + 1/2 * 6 * 5

⇒ 8 + 42 + 72  + 15

⇒ 137 m²

3 0
3 years ago
Read 2 more answers
Cecilia bought a new car the total amount she needs to borrow is 29542 she plans to take out 4 years loan at an APR of 6.3/ what
Naddika [18.5K]

Answer:

697.87

Step-by-step explanation:

You are looking for the monthly payment (PMT) on a loan (borrow = loan).

This is the formula you would use for installment loans (loan payment)

PVA = PMT [(1 - (1+APR/n)^-nY)/APR/n]

<u>NOTE: </u>

PMT = regular payment amount  = ?

PVA = starting loan principal (amount borrowed)  = 29542

APR = annual percentage rate (as a decimal)  = 0.063

n = number of payment periods per year  (they told you that it is monthly, so n =12)

Y = loan term in years (can be a fraction) = 4

NOTE: a helpful tip is so start with the original formula and rearrange it to make what you are looking for the subject of the formula.

We're solving for the monthly payment. So rearrange the formula:

PVA = PMT [(1 - (1+APR/n)^-nY)/APR/n]

PMT = [PVA (APR/n)]/(1 - (1+APR/n)^-nY)

PMT = [29542 (0.063/12)] / (1 - (1+ 0.063/12)^-12x4)

∴ PMT = 697.8653...

Round off the answer to as many decimal places as instructed by your lecturer/teacher.

Here we have rounded off to 2 decimal places:

∴ PMT = 697.87

8 0
4 years ago
Write an algebraic expression to model the given context. Give your answer in simplest form. the price p of a coat reduced by a
satela [25.4K]

Answer:

We conclude that the expression of the price p of a coat reduced by a 5% discount​ will be: 0.95 p      

Step-by-step explanation:

Let 'p' be the original price

Discount = 5% = 0.05

The discount amount can be calculated by multiplying the original price by 5% or 0.05

Discount Amount = 5% × p

                             = 0.05 × p

                             = 0.05 p

Given that the price p of a coat reduced by a 5% discount​.

Thus, the price after 5% discount​ can be calculated by subtracting the discount amount i.e. 0.05 p from the original price p.

Thus,

The expression of the price p after 5% discount​ = p - 0.05 p

                                                                                = 0.95 p

Therefore, we conclude that the expression of the price p of a coat reduced by a 5% discount​ will be: 0.95 p                                                

3 0
3 years ago
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