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
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<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.
Answer
h = √ (96 / 8) = √12 ft
P=100 watts
Step-by-step explanation:
Answer: 1/4 or 25%
Step-by-step explanation: The probability of drawing any card is equal because there is only 1 of each number. 4 is pulled out and not replaced, so there are 4 numbers instead of 5; the denominator is 4. The probability of 6 is 1/4, because there is one 6 out of four numbers. The suggested answer is 1/4, but some tests or questions will ask for the percent specifically.
<span>10x-33=3x-12
= 10x - 3x = -12 + 33
= 7x = 21
= x = 21/7
= x = 3 ..
hope it helps !!!</span>
Answer:
Step-by-step explanation:
1. 3x+4y=12.5
5x+1y=13.75