Answer:
Step-by-step explanation:
5x + 3 = 2x - 6
3x + 3 = -6
3x = -9
x = -3
Answer:
6
Step-by-step explanation:
As you might know, the two lines surrounding the -4 represent the absolute value, which is basically the distance from 0, and the distance is always positive. To clear any confusion, the absolute value of positive number will not be it's opposite because remember, distance is always positive, so absolute value is always positive (because it is basically the distance from zero).
To help, here is an example (that is not related to the problem!):
|-6| = 6
|6| = 6
<em>Now, back to the problem...</em>
Since you now know that the absolute value is always positive, |-4| would equal 4. So now you have:
4 - 8 + 10 = ???
From here, you can just solve and the answer is 6, so:
4 - 8 + 10 = 6
You final answer is 6.
Hope this helped somehow :D
Answer:
3 gallons
Step-by-step explanation:
Let
x ----> the amount of pure acid (100% solution) in gallons
Remember that



we know that

solve for x


therefore
3 gallons of pure acid should be mixed with 3 gallons of a 20% acid solution in order to get a 60% acid solution
Answer:
<u>The most simplified form is 15√10</u>
Step-by-step explanation:
1. Let's simplify the expression:
20√270 ÷ 4√3
20√9 * 30/ 4√3 (√270 = √9 * 30)
60 √30/ 4√3
(60 √3 * √10) / 4√3 (√30 = √3 * √10)
60/4 √10 ( We cancel √3 in the numerator and in the denominator)
15√10
<u>The most simplified form is 15√10</u>
The answer is outliers because when you have a larger or smaller set than your sequence suggests the mean will move toward the outlier