Same height when both equations are equal
-16x^2 + 74x + 9 = -16x^2 + 82x
82x - 74x = 9
8x = 9
x = 9/8
x = 1.125
x = 1.13 ---->rounded to nearest hundredths of seconds
answer
1.13 seconds
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:
The LCM of 15 and 5 is, 15.
Step-by-step explanation:
Answer:
Area: 201.06
Circumference:50.26
Step-by-step explanation:
Area of a circle: pi*r^2
8^2=8*8=64
64*pi=201.06193 Rounded to the neares hundredth=201.06
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Circumference of a circle: 2pi * r
2*8=16
16*pi=50.2654825 Rounded to the nearest hundredth = 50.26