Answer:
6 tickets were purchased at $47
8 tickets were purchased at $57
Step-by-step explanation:
Let the tickets purchased at $47 be x
Let the tickets purchased at $57 be y
We can form an equation from the question given which will be:
x + y = 14 ....... i
47x + 57y = 738 ........ ii
From equation i
x = 14 - y ........ iii
Substitute iii into ii
47x + 57y = 738
47(14-y) + 57y = 738
658 - 47y + 57y = 738
Collect like terms
-47y + 57y = 738 - 658
10y = 80
y = 80/10
y = 8
8 tickets were purchased at $57
Note that from i
x + y = 14
x + 8 = 14
x = 14 - 8
x = 6
6 tickets were purchased at $47
Answer:
b
Step-by-step explanation:
9 x 37 = 333
First you find how many prizes were dolls. Then you subtract that number from 64.
Step-by-step explanation:
9x² + 6 = 12x
3x² + 2 = 4x
3x² − 4x + 2 = 0
Use quadratic formula.
x = [ -b ± √(b² − 4ac) ] / 2a
x = [ -(-4) ± √((-4)² − 4(3)(2)) ] / 2(3)
x = [ 4 ± √(16 − 24) ] / 6
x = [ 4 ± √(-8) ] / 6
x = (4 ± 2i√2) / 6
x = (2 ± i√2) / 3
Answer:
∠H≅∠B
GH/DJ = AB/DC
Step-by-step explanation:
