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fiasKO [112]
2 years ago
11

A combination lock has numbers 0-49 on it. How many different 3-digit lock

Mathematics
1 answer:
Harman [31]2 years ago
3 0

Answer:

19,600

Step-by-step explanation:

0-49=50 numbers

n=50

r=3

C(n,r)=n!/(r!(n-r)!)

=50!/(47!)(3!)

C(n,r)=C(50,3)

=50!/(3!(50−3)!)

= 19600

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80% = $56
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2 years ago
24divided( -4 ) =<br> what is the answer
Tcecarenko [31]

Answer:

-6

Step-by-step explanation:

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8 0
3 years ago
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Divide x^3 -3x^2 by x-2<br> . Step 1 - Fill in the missing number:
vagabundo [1.1K]

Answer:


Step-by-step explanation:

First let us write the given polynomial as in descending powers of x with 0 coefficients for missing items

F(x) = x^3-3x^2+0x+0

We have to divide this by x-2

Leading terms in the dividend and divisor are

x^3  and x

Hence quotient I term would be x^3/x=x^2

                                                   x-2) x^3-3x^2+0x+0(x^2

x^3-2x^2

Multiply x-2 by x square and write below the term and subtract

We get  

                                                   x-2) x^3-3x^2+0x+0(x^2

x^3-2x^2

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

-x^2+0x

Again take the leading terms and find quotient is –x

                                                x-2) x^3-3x^2+0x+0(x^2-x

x^3-2x^2

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

-x^2+0x

                                                                  -x^2-2x

Subtract to get 2x +0 as remainder.

                                                  x-2) x^3-3x^2+0x+0(x^2-x-2

x^3-2x^2

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

-x^2+0x

                                                                  -x^2+2x

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

                                                                      -2x-0

                                                                              -2x+4

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

                                                                               -4

Thus remainder is -4 and quotient is x^2-x-2


8 0
3 years ago
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What is a estimate of 7/10 times 16 uses a benchmark fraction
Annette [7]
The answer is 11 1/5
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Help please?!!!!!!!!
guajiro [1.7K]

Answer:

12x + 3

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

6 + 4(3x - 2) + 5

<u>Step 2: Simplify</u>

  1. Distribute 4:                              6 + 12x - 8 + 5
  2. Combine like terms (Z):            12x + 3
8 0
2 years ago
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