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Darya [45]
3 years ago
10

Which of the following would eliminate the variable on the left side of the given equation? 36 - 19w = -6w + 41.  1. add -19w  2

.  add 6w  3.  add 19w  4.  add -36
Mathematics
1 answer:
Paladinen [302]3 years ago
5 0
W=5/13 you just eliminate the negative sign
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Eight people attend the theater "together and sit in a row with exactly eight seats. Suppose the eight people consist of three m
Nata [24]

Answer:

They can be seated in 120 differents ways.

Step-by-step explanation:

Taking into account that there are 3 couples and every couple has an specific way to sit, for simplify the exercise, every couple is going to act like 1 option and it's going to occupy 1 Place. If this happens we just need to organize 5 options (3 couples and 2 singles) in 5 Places (3 for a couple and 2 for the singles)

It means that now there are just 5 Places in the row and 5 options to organized. So the number of ways can be calculated using a rule of multiplication as:

<u>      5         </u>*<u>        4          </u>* <u>       3           </u> *  <u>        2     </u>  * <u>         1         </u> = 120

 1st place    2nd Place    3rd place        4th Place    5th Place

Because we have 5 options for the 1st Place, the three couples and the 2 singles. Then, 4 options for the second Place, 3 options for the third place, 2 for the fourth place and 1 option for the 5th place.

Finally, they can be seated in 120 differents ways.

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2 years ago
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Answer:

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(b) 36, 45, 54

Step-by-step explanation:

Given

Sequence: Arithmetic Progression

0,9,18,27

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First, we calculate the common difference (d)

In arithmetic progression:

d = T_n - T_{n-1}

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d = T_2 - T_{2-1}

d = T_2 - T_{1}

Where

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Solving (b): The next three terms

As said in (a) each term is derived from a sum of 9 and the previous term

So, we have:

Next\ Term = 27 + 9 = 36

Next = 36 + 9 = 45

Next = 45 + 9 = 54

Hence, the next three terms are: 36, 45 and 54

4 0
2 years ago
How many solutions does this system have?*
sweet-ann [11.9K]

Answer:

1 solution

Step-by-step explanation:

y =  - 3 \\ y =  -  x - 4 \\  =  >  - 3 =  - x - 4 \\  =  >  - x - 4 + 3 = 0 \\  =  >  - x - 1 = 0 \\  =  >  - x = 1 \\  =  > x =  - 1

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