X + 2y = 10 . . . (1)
6y = -3x + 30 . . . (2)
From (2), 3x + 6y = 30
3(x + 2y = 10)
3 x (1)
Since, the second equation is a multiple of the first equation, the system will have an infinitely number of solutions.
Answer:
B) -3/2
Step-by-step explanation:
If [x/2]=0 then x/2 is a number such that the least integer greater than or equal to x/2 is 0. We can rewrite this as the inequality x/2≤0. Then, the value of x in C, D and E is wrong because they are positive numbers, then x/2 would be a positive number which contradicts this inequality.
Now, 0 is the least integer that satisfies this inequality, therefore we cannot have that x/2≤-1 since -1 is an integer and -1<0. Then x/2>-1. This discards A as wrong, because for x=-2, x/2=-1, contrary to x/2>-1.
Thus B is the right answer. To verify, if x=-3/2, then x/2=-3/4 and we have that -1<-3/4≤0 as required.
Supplementary angles sum up to 180°, suppose the supplement of 161° is x. Then
161+x=180
solving for x we subtract 161 from both sides
161-161+x=180-161
x=19
thus the supplement is 19°
Answer:
$37.85
Step-by-step explanation:
Here the price is $34.98 and there's an 8.2% tax on that. To obtain the after-tax amount due, multiply $34.98 by (1 + 0.082), or 1.082, obtaining:
1.082($34.98) = $37.85 (rounded to the nearest cent)
