9514 1404 393
Answer:
- x=2 (work is correct)
- x=4
- x=44
- x=4
- x=any number
- impossible; no such number
Step-by-step explanation:
1. The equation is ...
3x +5 = 11
3x = 11 -5 = 6
x = 6/3 = 2 . . . . matches the work shown
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2. The equation is ...
(x +2)·5 = 30
x +2 = 30/5 = 6
x = 6 -2 = 4
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3. The equation is ...
(x/2) +2 = 24 . . . . matches the work shown
x/2 = 24 -2 = 22
x = 22·2 = 44
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4. The equation is ...
2x +8 = x +12
2x = x + 12 -8 = x +4
2x -x = x -x +4
x = 4
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5. The equation is ...
2x +4 -x -3 = x +1
x +1 = x +1 . . . . . true for any value of x
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6. The equation is ...
(3x +6) -2x = x +3
x +6 = x +3 . . . . . not true for any number
_____
<em>Additional comment</em>
The work shown is correct. You find x by writing and solving an appropriate equation. To solve the equation, undo the steps that are done to x. Undo addition by adding the opposite. Undo multiplication by diving by the multiplier. It often helps to collect terms before you start the "undo" steps.
For x on both sides of the equation (as in problems 4–6), you can subtract the term with the lowest coefficient. (Of course, you must subtract it from both sides of the equation.) In problem 5, if you do that, you get 1=1, which is true for any value of x. In problem 6, if you do that, you get 6=3, a false equation, indicating no value of x will make it true.
<h3>
Answer:</h3>
- a line has <em>one</em> dimension
- points in the same plane are <em>coplanar</em>
<h3>
Step-by-step explanation:</h3>
1. A line has only a length dimension. It has no width or height. It is a one-dimensional object.
2. Points on the same line are <em>collinear</em>. On the same plane, they are called <em>coplanar</em>. <em>Coordinates</em> locate a point relative to some measurement reference.
Answer:
Part 1)
Part 2) There are about
Step-by-step explanation:
Part 1) we know that
1 month=4 weeks
Let
x------> the number of hours of practice for three months
so
Convert months to weeks
3 months=3(4)=12 weeks
using proportion
that means------> In three months (12 weeks) the pianist practice 180 hours
Part 2)
Let
x------> the number of bass
y------> the number of catfish
we know that
Using proportion
There are about
Answer:
Zero Property of Addition
Step-by-step explanation:
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