Excuse me is that a statement or a question because you do not make it sound like one.
Answer:
x=50
Step-by-step explanation:
-0.2(x-20)=44-x
Distribute
-0.2x+4=44-x
Add x to each side
-.2x +4+x = 44-x+x
.8x+4 = 44
Subtract 4 from each side
.8x+4-4 = 44-4
.8x = 40
Divide each side by .8
.8x/.8 = 40/.8
x=50
To answer this question, we need to know what absolute value is in the first place. <u><em>ANSWERS ARE AT THE BOTTOM.</em></u>
Absolute value represents how far something is from 0 in a number line.
For example, lets take 4.
4 is 4 units away from 0 on the number line, so the absolute value of 4 is 4.
Now lets look at another example, -4. -4 is also 4 units away from 0, just in the other direction. However, when calculating absolute value, we do not care about the direction. Therfore, the absolute value of -4 is also 4.
Now let's look at your problem.
You want the <em>absolute value</em> of 0 and -4/5
<u><em>Following the same principle above about the distance from 0, here are your answers:</em></u>
<u><em></em></u>
<u><em>Absolute value of 0</em></u><u><em>: </em></u><em>0</em>
<em></em>
<u><em>Absolute value of -4/5</em></u><u><em>: </em></u><em>4/5</em>
We can model this situation.
Raina received a total of 83 calls
First evening she received 7 more than the third so let x = third and since we know she received 7 more we know to add 7 to the third so (x + 7)
Second evening she received 2 times as many as the third so 2 time third, which x is the third so (2 times x) or we could say 2x
Third evening = x
So now lets solve for x and then we can find how many she received each evening.
Our Model: (x + 7) + 2x + x = 83
(x + 7) + 2x + x = 83
x + 7 + 2x + x = 83
x + 2x + x + 7 = 83
4x + 7 = 83
4x + 7 - 7 = 83 -7
4x = 76
4x / 4 = 76 / 4
x = 19
First evening:
19 + 7 = 26 calls
Second evening
2 times 19 = 38
Third evening
19
Check our answer:
26 + 38 + 19 = 83