Answer:
$197.80
Step-by-step explanation:
$931.00 - $139.80 = $791.20
$791.20 / 4 equal installments = $197.80
Answer:
130°
Step-by-step explanation:
90° ± 90° = 180°
180° - 50° = 130°
130°
I believe you mean and rather than in. If that is the case then:
55:11
Which simplifies to:
5:1
I: y=(1/2)x+5
II: y=(-3/2)x-7
substitution:
fancy word for insert the definition of one variable in one equation into the other
-> isolate a variable, luckily y is isolated (even in both equations) already
-> substitute y of II into I (=copy right side of II and replace y in I with it):
(-3/2)x-7=(1/2)x+5
-3x-14=x+10
-3x-24=x
-24=4x
-6=x
-> insert x back into I (or II):
y=(1/2)x+5
=(1/2)*(-6)+5
=-3+5=2
elimination: subtract one equation from the other to eliminate a variable, again y is already isolated->no extra work required
I-II:
y-y=(1/2)x+5-[(-3/2)x-7]
0=(1/2)x+5+(3/2)x+7
0=(4/2)x+12
-12=2x
-6=x
-> insert x back into I (or II):
y=(1/2)x+5
=(1/2)*(-6)+5
=-3+5=2
Hey!
With the given information, we can form the equation y = 3x + 5, where y is the total and x is the number of miles.
IF the total amount was 29, we set y equal to 29.
29 = 3x + 5
subtract 5 from both sides
24 = 3x
divide both sides by 3
x = 8
Therefore he traveled 8 miles.
