Hello,
Answer D -3<x<27
Indeed:
1)
if x-12≥0 then x≥12 and
|x-12|=x-12x-12<15 → x<27
so 12≤x<27
2) if x-12<0 then
x<12 and|x-12|=-(x-12)<15
-x+12<15-x<3 → x>-3
So -3<x<12
Thus -3<x<12 U 12≤x<27 ⇔ -3<x<27
Answer:
18mL of the 20% solution must be mixed with 10 mL of the 6% solution to
obtain the desired 15% solution
Step-by-step explanation:
Ignore all of the useless information til the last sentence: How many milliliters of the 20% solution must be mixed with 10 mL of the 6% solution to obtain the desired 15% solution?
Our goal is to find out how many mL of 20% solution is needed to mix with 10mL of 6% solution to achive a 15% solution.
An easy and simple way to do it is to create a system of equation:
We add in x mL of 15% solution(Which has x mL of water and 20%*x mL of salt)
The equation: 15%=(20%x+0.6)/(x+10)
After solving it we get x=18
Therefore:
18mL of the 20% solution must be mixed with 10 mL of the 6% solution to
obtain the desired 15% solution
Hope this helps, have a good day!
Ps. If you have any questions, feel free to ask them in the comment section below-I'll be more than happy to answer.
Answer:
the opposite of a negative number is positive.
Step-by-step explanation:
Negative numbers are numbers that are less than 0. The opposite of a positive number is negative, and the opposite of a negative number is positive. Since the opposite of 0 is 0 (which is neither positive nor negative), then 0 = 0.
Answer:
$6030.23
Step-by-step explanation:
The future value formula is useful for this.
FV = P(1 +r/n)^(nt)
where P is the principal invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years. Filling in the given values, we can do the arithmetic to find the amount.
FV = $4700·(1 + 0.025/4)^(4·10) ≈ $6030.23
The amount in the account will be $6030.23.
