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Mrac [35]
3 years ago
13

An equation is shown below:

Mathematics
2 answers:
tatyana61 [14]3 years ago
4 0
The beginning steps to solve the equation 6(3x - 7) = 2 is
Step 1: 18x - 42 = 2
Step 2: 18x = 44
Ahat [919]3 years ago
3 0

Answer:

(D)  Step 1: 18x-42=2

     Step 2: 18x=44

Step-by-step explanation:

The given equation is:

6(3x-7)=2

Now, Step 1. Simplifying the above equation, we get

18x-42=2

Step 2. Further simplifying the equation by adding 42 on both sides, we get

18x-42+42=2+42

=18x=44

Thus, from all the option, Option D is correct as it is equivalent to the above steps.

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In the equation, which is true about the value of x? 4(2x + 3) = x(3 + 5) + 12
Dmitrij [34]

The statement is true. X= all real numbers

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3 years ago
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5th grade math, correct answer will be marked brainliest.
lina2011 [118]

Answer:

1.4 is the answer

Step-by-step explanation:

For every times 10 move the decimal point to the right.

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What are two different ways of factoring -3x - 9? Select all that apply.
sergiy2304 [10]

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The correct answer is A and C.

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[10 points] A manufacturer wants to design an open box having a square base and a surface area of 108 square inches. What dimens
MissTica

Answer:

  6 inches square by 3 inches high

Step-by-step explanation:

For a given surface area, the volume of an open-top box is maximized when it has the shape of half a cube. If the area were than of the whole cube, it would be 216 in² = 6×36 in².

That is, the bottom is 6 inches square, and the sides are 3 inches high.

_____

Let x and h represent the base edge length and box height, respectively. Then we have ...

  x² +4xh = 108 . . . . box surface area

Solving for height, we get ...

  h = (108 -x²)/(4x) = 27/x -x/4

The volume is the product of base area and height, so is ...

  V = x²h = x²(27/x -x/4) = 27x -x³/4

We want to maximize the volume, so we want to set its derivative to zero.

  dV/dx = 0 = 27 -(3/4)x²

  x² = (4/3)(27) = 36

  x = 6

  h = 108/x² = 3

The box is 6 inches square and 3 inches high.

_____

<em>Comment on maximum volume, minimum area</em>

In the general case of<em> an open-top box</em>, the volume is maximized when the cost of the bottom and the cost of each pair of opposite sides is the same. Here, the "cost" is simply the area, so the area of the bottom is 1/3 the total area, 36 in².

If the box has a <em>closed top</em>, then each pair of opposite sides will have the same cost for a maximum-volume box. If costs are uniform, the box is a cube.

7 0
3 years ago
Find the mode of the following data set.
Bas_tet [7]

Answer:

31.

Step-by-step explanation:

The mode is the value which occurs the most.

Stem = 3 and leaf  = 1, 1,6   so that is 2 31's.

4 0
3 years ago
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