Answer:
Daniel had 108 stickers at first
Step-by-step explanation:
Number of Daniel's stickers = d
Number of Elle's stickers = e
Since Daniel had 80 more stickers than Elle, d = 80 + e
e = d - 80
Daniel gave 1/4 of his stickers to Elle, Daniel is left with (d - d/4) = 3d/4
Elle now has e + d/4 = d - 80 + d/4 = (5d/4) - 80 = (5d - 320)/4
Elle now gave 3/5 of her remaining stickers to Daniel:
Elle now has:
Daniel now has:
Daniel now had 92 more stickers than Elle
Multiply through by 20
30d - 960 = 10d - 640 + 1840
20d = -640 + 1840 + 960
20 d = 2160
d = 2160/20
d = 108
Step-by-step explanation:
f(x) = y= -x²-x+6
When y is max, f'(x) = 0
f'(x) = -2x-1
Equating to 0,
-2x-1= 0
x= -1/2
Put the value of x in f(x)
y = -(-1/2)² -(-1/2) +6
= -1/4+1/2+6
= 6+1/2
y= 13/2
Answer: 5x-3
Step-by-step explanation:
3x+ 2x +2-5
5x -3
Answer:
2 touchdowns, 3 field goals
Step-by-step explanation:
The number of touchdowns cannot be more than 3, so it is relatively easy to find the solution by trial and error.
23 is not divisible by 3, so 0 touchdowns is not a solution
23 -7 = 16 is not divisible by 3, so 1 touchdown is not a solution
23 -14 = 9 is divisible by 3, so 2 touchdowns and 3 field goals is a solution
21 -21 = 2 is not divisible by 3, so there is only one solution.
