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lys-0071 [83]
3 years ago
12

A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y. Corn costs $215 per acre to produce, and cotton costs

$615 per acre to produce. He has $187,500 to invest this season. Which system represents this scenario? x + y = 500. 215 x + 615 y = 187,500 x minus y = 500. 215 x minus 615 y = 187,500 500 x + 500 y = 187,500. 215 x = 615 y 500 x = 500 y. 215 x + 615 y = 187,500
Mathematics
1 answer:
hodyreva [135]3 years ago
4 0

Answer:

x + y = 500

215x + 615y = 187,500

Step-by-step explanation:

The first equation can show the amount of land.  The farmer has 500 acres to plant corn, x, and cotton, y.

x + y = 500

The second equation can show the cost.  The farmer has $187,500 to invest when corn costs $215 per acre and cotton costs $615 per acre.

215x + 615y = 187,500

The system of equations is

x + y = 500

215x + 615y = 187,500

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Step-by-step explanation:

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1 year ago
Someone help I just got new assignments 23,24,25,26,27,28,29, and 30​
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Answer:

23: y = -0.4

24: b = -1.8

25: m = 1/2

26: g = 1/4

27: s = 3/2

28: w = -12/5

29: z = 5/4

30: a = -9/5

Step-by-step explanation:

23:

  • 3y + 5.2 = -5y + 2
  • 3y+5.2+5y=-5y+2+5y
  • 8y + 5.2 = 2
  • 8y+5.2-5.2=2-5.2
  • 8y = -3.2
  • \frac{8y}{8} = \frac{-3.2}{8}
  • y = -0.4

24:

  • 10b-2=7b-7.4
  • 10b-2-7b=7b-7.4-7b
  • 3b - 2 = -7.4
  • 3b -2 + 2 = -7.4 + 2
  • 3b = -5.4
  • \frac{3b}{3} = \frac{-5.4}{3}
  • b = -1.8

25:

  • 2m - 2 = 6m - 4
  • 2m-2-6m=6m-4-6m
  • -4m-2=-4
  • -4m-2+2=-4+2
  • -4m = -2
  • \frac{-4m}{-4} = \frac{-2}{-4}
  • m = \frac{1}{2}

26:  

  • 3g+5=7g+4
  • 3g+5-7g=7g+4-7g
  • -4g+5=4
  • -4g + 5 - 5 = 4-5
  • -4g = -1
  • \frac{-4g}{-4} = \frac{-1}{-4}
  • g = \frac{1}{4}

27:

  • 4s-1=-2s+8
  • 4s-1+2s=-2s+8+2s
  • 6s - 1 = 8
  • 6s - 1 + 1 = 8+1
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  • \frac{6s}{6} = \frac{9}{6}
  • s = \frac{3}{2}

28:

  • 9w+3=4w-9
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  • \frac{5w}{5} = \frac{-12}{5}
  • w = \frac{-12}{5}

29:

  • 6z-7=2z-2
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  • \frac{4z}{4} = \frac{5}{4}
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  • -5a+3=12
  • -5a + 3 - 3 = 12-3
  • -5a = 9
  • \frac{-5a}{-5} = \frac{9}{-5}
  • a = -\frac{9}{5}
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