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MariettaO [177]
3 years ago
13

Which equation represents the solution of the equation 6x – 18 = 30?

Mathematics
2 answers:
Goryan [66]3 years ago
6 0

Answer:

x=8

Step-by-step explanation:

HACTEHA [7]3 years ago
4 0

Answer:

x = 8

Step-by-step explanation:

rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

6*x-18-(30)=0

STEP 1:

Pulling out like terms

Pull out like factors :

6x - 48  =   6 • (x - 8)

STEP 2:

Equations that are never true:

Solve: 6=0

This equation has no solution.

Solving a Single Variable Equation:

Solve  : x-8 = 0

Add  8  to both sides of the equation :

x = 8

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34 is 50% of what number?
lora16 [44]
In other words, you know that 50 percent of a number is 34 and you want to know what that initial number is.

To solve this problem you multiply 34 by 100 and then divide the total by 50 as follows:

(34 x 100) / 50

When we put that into our calculator, we get the following answer:

68
6 0
2 years ago
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Complete this table to show the sample space for each roll in the game
leva [86]

I'm assuming you only need help with part B. If that's the case, then all we do is add up the values outside of the table to get the inner cell results. For example, in row 1, column 1, we have 1's outside. They add to 1+1 = 2. So we'll have 2 in the first row and first column of the table. The other cells are computed in this way. In figure 1 (see attached image), I show the intermediate step of adding. Then in figure 2, I actually add up the values and show the final result of what the table will look like when all said and done. Take note of the color coding to help see how the values match up for each inner cell of the table. The color coding is optional.

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

Edit: 

Part C -- Part 1) Probability of rolling double sixes


There are five copies of "6" in the table (see figure 2 of the attached image) out of 36 total possibilities. How did I get 36? It's the result of multiplying 6*6. This is because there are 6 faces per die. As the table shows, there are 6 rows and 6 columns giving 36 cells total.


So we divide the number of times "6" shows up (5 times) out of the number of total possibilities (36 total) to get: 5/36 = 0.1389 = 13.89%


Answer as a fraction: 5/36

Answer as a decimal: 0.1389

Answer as a percent: 13.89%

The decimal and percent forms are approximate

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


Part C -- Part 2) Probability of rolling doubles


To roll doubles, all we need to do is roll the same number twice on each die. In other words, we have "twin values" so to speak. Back in part 1 above, we dealt with just '6's showing up twice. There are other doubles as well


The doubles possibilities are: 

1 and 1

2 and 2

3 and 3

4 and 4

5 and 5

6 and 6


Each combo listed above only shows up once. So we have 6 instances where we have doubles (one instance per side of the die). This is out of 36 total


Divide the values mentioned: 6/36 = 1/6 = 0.1667 = 16.67%


Answer as a fraction: 1/6

Answer as a decimal: 0.1667

<span>Answer as a percent: 16.67%</span>

The decimal and percent forms are approximate

7 0
3 years ago
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Find the value of :​
beks73 [17]

Answer:

i) 66

ii) 536

Step-by-step explanation:

Check attachement(s) for solution.

  • Attachment - 1: Solution (i)
  • Attachment - 2: Solution (ii)

7 0
2 years ago
At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
Neporo4naja [7]


Every body has two hands so we have to multiply 66 by 2.

66 multiplied by 2 is equal to 132

The answer is 132.

hope it helps.

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4 0
3 years ago
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Help please!!!!!!!!!
Alenkasestr [34]

Answer:

B. x^{2} - 4x - 5

Step-by-step explanation:

(p о n) (x) is the same thing as (p(n(x))

We know n(x) = x - 5, so let's input that into our expression

(p(x - 5))

Since we know p(x) = x^2 + 6x, let's replace the x with the new value x-5. Now our expression is:

p(x) = (x - 5)^2 + 6(x - 5)

Now all we have to do is simplify.

(x - 5)^2 is the same as:  (x - 5)(x - 5)

Using the foil method, it simplifies to:  x^2 - 10x + 25

6 (x - 5) = 6x - 30

Now our expression is:  x^2 - 10x + 25 + 6x - 30

Combine like terms:  x^2 - 4x - 5

The expression is: x^{2} - 4x - 5

5 0
3 years ago
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