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Blababa [14]
3 years ago
12

5(2x + 6) = 8x + 48 simplify.

Mathematics
2 answers:
kramer3 years ago
4 0

To solve this equation, you should first multiply out 5(2x + 6), which gives you 10x+30 = 8x+48. Now you can move all the x's to the left.

You can subtract 30 from 48, giving you 10x=8x+18. You can also now subtract 8x on both sides, giving you 2x=18.

Now you can divide 18 by 2, giving you x=9

lord [1]3 years ago
3 0

10x+30=8x+48

2x+30=48

2x=18

x=9

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Item 3
Kruka [31]

Answer:

The given  system as (3,3) as its solution.

Step-by-step explanation:

Here, the given system of the equation is:

4 x + 2 y = 18 ................  (1)

2 x + 3 y = 15      ...............  (2)

Now, to use the elimination method, w need to eliminate any of the variable.

Eliminate the variable x in the given system.

Multiply equation (2) with -2  we get,

(2 x + 3 y = 15  )(-2) ⇒ -4x - 6y = -30  .......  (3)

Add (1) and (3), we get:

4 x + 2 y   -4x - 6y    = 18  -30

or, - 4 y = - 12

or, y =  12/4 = 3    ⇒ y = 3

Putting in (1), we get

4x + 2(3)   = 18  or, 4x    = 18 - 6 = 12

or, x  = 3

(x,y)  = (3,3)

Hence, the above system as (3,3) as its solution.

6 0
2 years ago
A standard deck of playing cards contains 52 cards, equally divided among four suits (hearts, diamonds, clubs, and spades). Each
Svetradugi [14.3K]
The order does not matter, so we will be using combinations here. 52C1 is the first one since there is only one possibility. 16C1 is the second. You have to multiply these two, so 52 X 16 = 832.
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2 years ago
In the New York State daily lottery game, a sequence of 4 (not necessarily different) digits in the range of 0-9 is selected at
devlian [24]

Answer:

50.40% probability that all 4 are different.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

4 digits, all different

For the first digit, it can be any of them, so there are 10 possible

For the second digit, it can be any of them other than the first digit. So there are 9 possible.

For the third digit, it can be any of them, other than the first and the second. So there are 8 possible.

By the same logic, 7 possible digits for the fourth. So

D = 10*9*8*7 = 5040

Total outcomes:

4 digits, each can be any of them(10 from 0 - 9).

So

T = 10*10*10*10 = 10000

Probability:

p = \frac{D}{T} = \frac{5040}{10000} = 0.5040

50.40% probability that all 4 are different.

5 0
3 years ago
18. cos t(sec t - cos t)
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