Answer:
(a) 16-2x
(b)-x-2 or x+6
(c)
Step-by-step explanation:
(a)
|6-x|+|x-10|,
|4-x|=4-x,so x<4
|2-x|=x-2=-(2-x)
2-x<0
2<x
or x>2
2<x<4
so |6-x|=6-x,in 2<x<4
|x-10|=-(x-10),in 2<x<4
|6-x|+|x-10|=6-x-(x-10)=6-x-x+10=16-2x
(b)
2-|2-|x-2||,if x<-2
|x-2|=-(x-2) if x<-2
=2-|2-{-(x-2)}|
=2-|2+x+2|
x<-2
x+2<0
=2-|x+4|
=2-(x+4),if x>-4,or -4<x<-2
=2-x-4
=-x-2
if x<-4
then |x+4|=-(x+4)
2-|x+4|=2-{-(x+4)}
=2+x+4
=x+6
Answer:
2
Step-by-step explanation:
im not totally sure but u think the answer is 2
Answer:
20%, 40%, 60%, 80%
Step-by-step explanation:
Answer:
Step-by-step explanation:
The three in the first number is in the thousands place and in the second number the three is in the hundreds place.
If Sandra mixes <em>x</em> L of 65% solution with <em>y</em> L of 90% solution, then the resulting mixture has a total volume of
<em>x</em> + <em>y</em> = 500
litres, and it contains
0.65<em>x</em> + 0.90<em>y</em> = 0.75 (500) = 375
litres of alcohol.
Solve the first equation for <em>y</em> :
<em>y</em> = 500 - <em>x</em>
<em />
Substitute this into the second equation and solve for <em>x</em> :
0.65<em>x</em> + 0.90 (500 - <em>x</em>) = 375
0.65<em>x</em> + 450 - 0.90<em>x</em> = 375
75 = 0.25<em>x</em>
<em>x</em> = 300
Solve for <em>y</em> :
<em>y</em> = 500 - 300
<em>y</em> = 200
So, Sandra should mix 300 L of 65% solution with 200 L of 90% solution.
