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3 years ago

An equation and the steps to solve it are shown below:

1 answer:

6 0

S1: 7x - 4x - 2 = 6 OK
S2: 3x - 2 = 6 OK
S3: 3x - 2 + 2 = 6 WRONG, correct is 3x - 2 + 2 = 6 + 2

Answer: c. Step 3, because a number has been added only to one side of the equation.

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The only contents of a container are 10 disks that are each numbered with a different positive integer from 1 through 10, inclus

allsm [11]

First we calculate for the total number of possibilities (permutation) to select 4 disks from the container:

Total number of possibilities = 10 * 9 * 8 * 7

Total number of possibilities = 5040

Now let us find the 4 disks that will result in a range of 7.

Range = highest number – lowest number

The pair of highest and lowest number that will result in range of 7 is: (1 & 8), (2 & 9), (3 & 10)

As a basis of calculation, let us use the pair 1 & 8.

There are four possible ways to select 1 and three for 8.

Arrangements of maximum and minimum pair = 4 * 3

Arrangements of maximum and minimum pair=12

Now we need to calculate for the remaining 2 disk. There are 6 numbers between 1 & 8. The total possibilities for selecting 2 disk from the remaining 6 is:

Possibilities of selecting 2 disk from remaining 6 = 6 * 5

Possibilities of selecting 2 disk from remaining 6 = 30

Therefore, the total possibility to get a range of 7 from a pair of 1 & 8 is:

Total possibility for a pair = 12 * 30

Total possibility for a pair = 360

Since there are a total of three pairs (1 & 8), (2 & 9), (3 & 10):

Total possibilities of the 3 pairs = 360 * 3

Total possibilities of the 3 pairs = 1080

Therefore:

Probability = Total possibilities of the 3 pairs / Total number of possibilities

Probability = 1080 / 5040 = 3 / 14 (FINAL ANSWER)

6 0

3 years ago

Solve each system by graphing: 4x + 6y = -12 2x + 3y = 6

Helga [31]

Answer: For the system given, there is no solution.

The slopes are the same for both equations, so the lines are parallel. With no intersection, there is no solution.

It may be easier to graph the system if you change the equations to slope intercept form y = mx + b

That locates the y-intercept, b and you can use the slope, m to plot additional points to draw the lines.

The attachment shows the graph of this system of equations.

Step-by-step explanation: Isolate y on the left

First equation:

4x + 6y = -12 Subtract 4x from both sides

6y = -4x -12 Divide both sides by 6

y = -4x/6 -12/6 Simplify

y = -2x/3 - 2 The y-intercept is -2, the slope is -2/3

Second equation:

2x + 3y = 6 Subtract 2x from both sides

3y = –2x + 6 . Divide both sides by 3

y = –2x/3 + 6/3 Simplify

y = –2x/3 +2 The y-intercept is -2, the slope is -2/3

At this point we see that the slopes are the same, so the lines are parallel.

6 0

3 years ago

Read 2 more answers

Pls help with these questions!

Vilka [71]

Answer:

I don't know sorry

5 0

2 years ago

And why is it a function

andreyandreev [35.5K]

It's not a function because the x value 2 has two y values

8 0

3 years ago

How do you write 8.216 in scientific notation?

Igoryamba

How you write 8.216 in scientific notation; 8.216 * 10 ^ 3

10 ^ 3 = 10 to the 3rd power.

5 0

3 years ago