Half = 0.5
x-the number
<span>Ten times the sum of half a number and 6 is 8:
10 · (0.5x + 6) = 8 |use distributive property: a(b + c) = ab + ac
5x + 60 = 8 |subtract 60 from both sides
5x = -52 |divide both sides by 5
<span>x = -10.4</span></span>
Answer:
C ( 8,-6)
Because you move the points according to the rule.
Set equations for both containers:
Condition one: $y=2x$
Condition two: $(y-3)=4.5(x-2)$
plug in $y$ from condition one into the second equation:
$2x-3=4.5x-9$
simplify gives: $2.5x=6$
$\boxed{x=2.4}$
$\boxed{y=4.8}$
