Answer:
104.42224
Step-by-step explanation:
16.46% of 634.40 = 0.1646 × 634.40 = 104.42224
y=x^2-2x-15 (1) y=8x-40 (2)
8x-40=x^2-2x-15
X^2+10x-25=0
(x-5)^2
×=5 y=0
The total tickets to be purchased to guarantee the win = 504 tickets
Step-by-step explanation:
Step 1 :
Number of entries in the trifecta race = 9
The win is to select the first finisher, second finisher and third finisher in their proper order.
We need to find the number of tickets to be purchased to guarantee the win
Step 2 :
Number of ways to select the first finisher = 9
Number of ways to select the second finisher = 8 [the first is selected and fixed. So the number of available finishes is reduced by 1]
Number of ways to select the third finisher = 7
Hence the total tickets to be purchased to guarantee the win = 9 × 8 × 7 = 504
Step 3 :
Answer :
The total tickets to be purchased to guarantee the win = 504 tickets
Answer:
41
Step-by-step explanation:
add all numbers together then divide by how many numbers there are
Answer:
(0, 33) : Yes
(4.8, 30.5) : Yes
Step-by-step explanation:
height of at least 24 ft : y >= 24
horizontal distance of no more than 10 ft. : 0 <= x <= 10
The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.:
y >= 3x and y <= 33
So Constraints:
24 <= y <= 33
y >= 3x
0 <= x <= 10
Now check to see if those coordinate points meet all the constraints
(0, 33) : Yes
(4.8, 30.5) : Yes
(9, 26) : No (because 26 is less than (3 * 9) = 27)
(4, 36)
: No (because 36 > 33, must be 24 <= y <= 33)
(2, 22): No (because 22 <24, must be 24 <= y <= 33)