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frez [133]
3 years ago
11

1.5(0.8x-1.2) = 0.2x+1.2

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
5 0
<span> 1.5(0.8x-1.2) = 0.2x+1.2

 1.2x-1.8=0.2x+1.2
      +1.8        +1.8

 1.2x=0.2x+3
</span>
 1.2x=0.2x+3
 -0.2x -0.2x

  x=3   


Komok [63]3 years ago
4 0
1.5(0.8x-1.2) = 0.2x + 1.2

1.2x-1.8 = 0.2x + 1.2

1.2x- 0.2x = 1.2+ 1.8

1x = 3

\boxed{x = 3}
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Find the image of (-1,3) obtained by translating 2 units down, followed by a rotation of 270 degrees counterclockwise about the
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Answer:

[1, 1]

Step-by-step explanation:

Translation → [-1, 3] moves down to [-1, 1]

Now, a <em>90°-clockwise rotation</em> is the exact same as a <em>270°-counterclockwise rotation</em>, and according to the <em>270°-counterclockwise rotation</em> [<em>90°-clockwise rotation</em>] <em>rule</em>, you take the y-coordinate, bring it over to your new x-coordinate, and take the OPPOSITE of the x-coordinate and set it as your new y-coordinate:

<u>Extended Rotation Rules</u>

  • 270°-clockwise rotation [90°-counterclockwise rotation] >> (<em>x, y</em>) → (<em>-y, x</em>)
  • 270°-counterclockwise rotation [90°-clockwise rotation] >> (<em>x, y</em>) → (<em>y, -x</em>)
  • 180°-rotation >> (<em>x, y</em>) → (<em>-x, -y</em>)

Then, you perform your rotation:

270°-counterclockwise rotation [90°-clockwise rotation] → [-1, 1] moves to [1, 1]

I am joyous to assist you anytime.

7 0
3 years ago
Box A has 14 black pens and 6 blue pens box B has 9 black pens and 3 blue pens a pen is randomly chosen from each box list these
earnstyle [38]

Answer:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

Step-by-step explanation:

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

Possible outcomes:

Black - Black

Black - Blue

Blue - Black

Blue - Blue

Probability of each outcome:

Black-Black:

14 out of 20, and then 9 out of 12. So

P_{BkBk} = \frac{14}{20} \times {9}{12} = \frac{14*9}{20*12} = \frac{126}{240}

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14 out of 20, then 3 out of 12. So

P_{BkBl} = \frac{14}{20} \times {3}{12} = \frac{14*3}{20*12} = \frac{42}{240}

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6 out of 20, then 9 out of 12. SO

P_{BlBk} = \frac{6}{20} \times {9}{12} = \frac{6*9}{20*12} = \frac{54}{240}

More likely than black-blue, less likely than black-black.

Blue - Blue

6 out of 20, then 3 out of 12

P_{BlBl} = \frac{6}{20} \times {3}{12} = \frac{6*3}{20*12} = \frac{18}{240}

Least likely of the outcomes.

List these events from least likely to most likely:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

x=18

Step-by-step explanation:

5x+2=72

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