Corey, Laura, Paige and Jacob are baking a pumpkin pie. Each of them brings a different ingredient. When the pie is finished, 1/4 of the cinnamon that was brought is left, 1/3 of the nutmeg, 1/2 of the ginger, and 5/8 of the pumpkin remains. Corey's ingredient was used the most. Laura's ingredient was used the least. More of Paige's ingredient was used than Jacob's. Who brought the ginger?

1/4 cinnamon was left, so 3/4 was used.

1/3 nutmeg was left, so 2/3 was used

1/2 of ginger was left so 1/2 was left

5/8 of pumpkin was left so 3/8 was used.

Corey's was used the most, 3/4 is the largest used, so Corey had the cinnamon.

Laura's was used least, 3/8 is the smallest amount so Laura had the pumpkin.

2/3 is more then 1/2, so there was more ginger used than nutmeg.

More of Paige's was used, so Paige had the ginger.

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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