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ICE Princess25 [194]
3 years ago
10

HELP ME PLEASE

Mathematics
1 answer:
dsp733 years ago
3 0
Preyton took longer so he was slower. Now, we calculate the average speeds of both:
Preyton: 150 / 3 = 50 mph
Bryson: 150 / 2.5. = 60 mph

Therefore, Bryson travelled 10 mph faster than Preyton
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The number of acres a farmer uses for planting pumpkins will be at least 2 times the number of acres for planting corn. The diff
jeka94

Answer:

Step-by-step explanation:

A) Let x represent acres of pumpkins, and y represent acres of corn. Here are the constraints:

  x ≥ 2y . . . . . pumpkin acres are at least twice corn acres

  x - y ≤ 10 . . . . the difference in acreage will not exceed 10

  12 ≤ x ≤ 18 . . . . pumpkin acres will be between 12 and 18

  0 ≤ y . . . . . the number of corn acres is non-negative

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B) If we assume the objective is to maximize profit, the profit function we want to maximize is ...

  P = 360x +225y

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C) see below for a graph

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D) The profit for an acre of pumpkins is the highest, so the farmer should maximize that acreage. The constraint on the number of acres of pumpkins comes from the requirement that it not exceed 18 acres. Then additional profit is maximized by maximizing acres of corn, which can be at most half the number of acres of pumpkins, hence 9 acres.

So profit is maximized for 18 acres of pumpkins and 9 acres of corn.

Maximum profit is $360·18 +$225·9 = $8505.

7 0
3 years ago
Evaluate the expression 2m+2n if m=9 and n=3
tatuchka [14]
Just substitute each number in for the variables: 9 for m and 3 for n.

2m+2n
= 2(9)+2(3)
= 18+6
= 24
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12.5 if 50 divided by 4
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