Answer:
Conner had 225 in the beginning
Step-by-step explanation:
Let lisa's money be L
and Conots money be C
C+L= 360----------------1
Connor gave Lisa 40% of his money,
L= 0.4C+L
C= 0.6C
L=0.4C+L=C
C=0.4C+L---------------2 <em>she had the same amount of money as he did</em>
C-0.4C=L
`0.6C=L
Put L=0.6C in eqn 1
C+0.6C= 360
1.6C= 360
C= 360/1.6
C=225
C+L= 360----------------1
225+L=360
L= 360-225
L= 135
Answer:
$60 is original price... 20% or .20 off of that price is $12
Answer:
24.4
Step-by-step explanation:
15.86 /0.65 = 24.4
Answer:
midpoint: (7.5, 1.5)
Step-by-step explanation:
midpoint formula: ( (x1 + x2)/2 , (y1 + y2)/2 )
x1= 10
x2= 5
y1=1
y2=2
( 10 + 5 )/2 = 7.5
( 1 + 2 )/2 = 1.5
midpoint coordinates => ( 7.5 , 1.5 )
<span><span><span><span>−<span>x2</span></span>−<span>4x</span></span>+5</span>>0</span>
Let's find the critical points of the inequality.<span><span><span><span>
−<span>x2</span></span>−<span>4x</span></span>+5</span>=0</span><span><span><span>
(<span><span>−x</span>+1</span>)</span><span>(<span>x+5</span>)</span></span>=0</span>(Factor left side of equation)<span><span><span><span>
−x</span>+1</span>=<span><span><span>0<span> or </span></span>x</span>+5</span></span>=0</span>(Set factors equal to 0)<span><span>
x=<span><span>1<span> or </span></span>x</span></span>=<span>−5</span></span>
Check intervals in between critical points. (Test values in the intervals to see if they work.)<span>
x<<span>−5</span></span>(Doesn't work in original inequality)<span><span><span>
−5</span><x</span><1</span>(Works in original inequality)<span>
x>1</span>(Doesn't work in original inequality)
Answer: −5<x<1
