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kati45 [8]
3 years ago
10

Hello, could you help me with my math exercise? thank you in advance

Mathematics
2 answers:
choli [55]3 years ago
5 0

Answer:  The simplified expression is:  " 100x - 100 . "

____________________________________________________

Step-by-step explanation:

____________________________________________________

Step 1)  Choose a number;  Let this number be represented by:  " x " .

____________________________________________________

Step 2)  Multiply "x" by  " (-11) " ;  as follows:

       x * (-11) =  -11 * x  =  - 11x  .

____________________________________________________

Step 3) Add "5"  to:  " -11x " ;  as follows:

       5 + (-11x)  =  -11x + 5 .

____________________________________________________

Step 4)  Multiply:  " (-11x + 5) by:  " (-9)" ;  as follows:

                 -9(-11x + 5) = ?

____________________________________________________

Note the "distributive property" of multiplication:

        a(b + c) = ab + ac .

____________________________________________________

As such:

                 -9(-11x + 5) =

                   (-9 * -11x)  +  (-9 * 5)  =

                      99x  + (-45)   =

                      99x  -  45  .

____________________________________________________

Step 5: Add "x" to:  " (99x - 45) "  ;  as follows:

     

                      99x  -  45  +  x   =

                  99x + x  - 45  =  

                  100x - 45 .

____________________________________________________

Step 6:   Subtract "55" from:  " (100x - 45) " ;  as follows:

                        100x - 45 - 55 =  ?

                    - 45 - 55  =  - 100 ;

                     

                          100x  - 45 - 55 =

                               

                                100x - 100 .

                     or:  Factor out a "100" ;

           →  100 (x - 1) ;

However, the simplified expression is:  " 100x - 100 " .

____________________________________________________

Natali [406]3 years ago
4 0

Answer:

100(x - 1)

Explanation:

Let's begin writing down everything

(X×(-11)+5)×(-9)+X-55

Now we can multiply

-9(-11X+5)+X-55

99X-45+X-55

And so we get

100X-100

Factorize 100

100(x-1)

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DanielleElmas [232]

Answer:

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7 0
2 years ago
A poker hand is a set of 5 cards randomly chosen from a deck of 52 cards. Find the probability of a (a) royal flush (ten, jack,
zysi [14]

Answer:

a) 0.000001539

b) 0.00001385

c) 0.0002401

d) 0.001441

e) 0.001966

Step-by-step explanation:

Since there are 52 deck of cards, and the hand of the poker is 5 set, then the total number of hands achievable would be

T = 52! / 5!(52 - 5)!

T = 52! / 5! 47 !

T = 2598560 possibilities.

a) There are 4 ways of getting a royal flush. So the probability of getting a royal flush is

4 / 2598560 =

0.000001539

b) There are 9 hands from the 5 card hands, and also, there are 4 possible suits. So then, the probability is

9 * 4 / 2598560 =

36 / 2598560 =

0.00001385

c) There are 13 possible ways to get a four of a kind, since there are 5 cards with the poker, the remaining would be taken from the 48 remaining cards, thus

13 * 48 / 2598560 =

624 / 2598560 =

0.0002401

d) 3 of a kind in conjunction with a pair is needed to form a full house. This 3 of a kind can be gotten from any 4 suits. Then again, the pair has two cards with the same face value. So,

4! / 2! (4 - 2)! =

4! / 2! 2! = 6

That means, there are 6 possible ways to get our needed suits. Then, the probability of getting a full house is

13 * 4 * 12 * 6 / 2598560 =

3744 / 2598560 =

0.001441

e) To get a flush, all the 5 cards in the hand needs to have the same suit. Now, there are 13 different types of cards with only 5 cards being in the hand, thus

13! / 5! (13 - 5)! =

13! / 5! 8! = 1287

Now, recall that the question specifically asked us not to include any straight. There are 10 straights that can be gotten, and thus, we subtract it.

1287 - 10 = 1277

Since there are 4 suits, the probability of getting a flush is

1277 * 4 / 2598560 =

5108 / 2598560 = 0.001966

5 0
3 years ago
You are creating a model of a bookcase for a dollhouse.
Goshia [24]

Answer:

If the model is 3 inches tall, the model bookcase should be <em>2 inches</em> wide.

Step-by-step explanation:

When using similar figures, set up a proportion of the model measurements to the actual measurements:

\frac{3}{48}=\frac{x}{32}

Then cross multiply and solve for x:

48x=96\\x=\frac{96}{48}\\x=2

If this helped, a brainliest would be greatly appreciated!

6 0
2 years ago
Any help is appreciated:)<br><br>God blast it the photo didn’t load
mart [117]

... what is the question lol

6 0
3 years ago
The difference of 4 times a number and 15 is -16. Find the number.
hichkok12 [17]

Answer:

-1/4

Step-by-step explanation:

4x - 15 = -16

4x = -1

x = -1/4

5 0
3 years ago
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