Answer:
0.150 < (Proportion of Sandy's pie) < 0.167
15% < (Percentage of Sandy's pie) < 16.7%
Step-by-step explanation:
Total percentage of pie = 100% or 1
George, Sandy, Carlos, and Michelle all ate a piece of the pie.
George ate a fraction of 0.150
Michelle ate a fraction of (1/6) = 0.167
Carlos ate a fraction of (1/7) = 0.143
The amount of pie left = 1 - 0.15 - (1/6) - (1/7) = 0.5405
And Sandy is known to eat more than two of her friends, but less than one of them.
Of the amount of pie eaten by the first 3 friends, (1/6) is the highest proportion.
Hence, it is evident that Sandy ate more than 0.143 and 0.150 (Carlos and George) but less than Michelle (0.167).
So, mathematically, the possible proportion of cake that Sandy ate is
0.150 < (Proportion of Sandy's pie) < 0.167
Hope this Helps!!!
Answer:
4
Step-by-step explanation:
x butterflies and y dragonflies
4 < x + y 《 8
x = 2y
4 < 2y + y < 8
4 < 3y < 8
Only multiple of 2 between 4 and 8 is 6
So 3y = 6
y = 2
x = 2y = 4
6a³-18a²-1620a
Collect 6a:
6a(a²-3a-270)
6a(a-18)(a+15)
(x+3)(x+3) = x^2 -3 + 3x
x^2 + 3x + 3x + 9 = x^2 + 3x - 3
x^2 + 6x + 9 = x^2 + 3x - 3
6x + 9 = 3x - 3
3x + 9 = -3
3x = -12
x = -4
Check:
(-4+3)^2 = (-4)^2 - 3(1+4)
(-1)^2 = 16 - 3(5)
1 = 16-15
1 = 1 :)
D
given the 2 equations
x + 2y = - 8 → (1)
- 4x + y = 5 → (2)
multiply (1) by 4
4x + 8y = - 32 → (3)
add (2) and (3) term by term to eliminate term in x
9y = - 27 ( divide both sides by 9 )
y = - 3
substitute y = - 3 in either (1) or (2) and solve for x
(1) : x - 6 = - 8 ( add 6 to both sides )
x = - 2
solution is (- 2, - 3 ) → D
