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Katarina [22]
2 years ago
14

Solve for all values of y in simplest form. ∣y−12∣=16

Mathematics
1 answer:
Reil [10]2 years ago
5 0

Answer:

y=-4; y=28

Step-by-step explanation:

The way I like to think about it, with absolute value meaning the distance is

"find which number are 16 apart from 12". Which means 28 (to the right) or -4 (to the left).

More formally, applying the definition of absolute value,

|y-12|=16 \leftrightarrow y-12=\pm16\\y-12=-16 \rightarrow y=-4\\y-12=+16 \rightarrow y=28

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Answer:

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Step-by-step explanation:

6 = -x - 4

+4      +4

10 = -x

-10 = x

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Property of equality used to solve subtractior<br> equations
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6 0
3 years ago
25 is what percent of 20?
denis-greek [22]

Answer:

20 is 80% of 25

Step-by-step explanation:

We assume, that the number 25 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 25, so we can write it down as 100%=25.

4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.

5. Now we have two simple equations:

1) 100%=25

2) x%=20

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=25/20

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 25

100%/x%=25/20

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100=1.25*x       - we divide both sides of the equation by (1.25) to get x

100/1.25=x

80=x

x=80

8 0
3 years ago
Read 2 more answers
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