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julsineya [31]
2 years ago
7

Solve the systems of equations by substituting y=-5 5x+4y=-20

Mathematics
1 answer:
Anon25 [30]2 years ago
8 0
5x + 4y = -20
5x + 4(-5) = -20
5x -20 = -20
5x = 0
x = 0

5x + 4y = -20
4y = -5x -20
4y = -5(0) -20
4y = -20
y = -5

(x , y) = (0 , -5)
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If a triangle has a height of 7 centimeters and a base of 4 centimeters,what is the area
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14cm^2

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3 years ago
1. A company produces two types of nutritional supplements; Energize and Excel. Energize contains 26 mg of vitamin A, 42 mg of v
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Answer:

1)A) Minimize C = 40x + 100y.

2) d) 7x + 8y ≤ 190, 5x + 4y ≤ 22, x ≥ 0, y ≥ 0.

3) B) Min C = 295x + 416y; s.t 23x + 15y ≥ 154, 17x + 25y ≥ 140, x ≥ 0, y ≥ 0.

Step-by-step explanation:

1) Energize pills cost 40 cents each, while Excel pills cost 100 cents each. If x represent the energize pills and y represent the excel pills, the objective function would be:

minimize cost = cost of energize pill + cost of excel pill

Minimize cost = 40x + 100y

2) Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce.

7 hours of assemble time to produce a mountain bike and 8 hours of assemble time to produce a racing bike. Since the company has at most 190 hours for assemble time, it can be represented as:

7x + 8y≤ 190

5 hours of mechanical tuning to produce a mountain bike and 4 hours of mechanical tuning to produce a racing bike. Since the company has at most 22 hours for mechanical tuning, it can be represented as:

5x + 4y ≤ 22

Also assemble time and mechanical time must be greater than 0, hence:

x ≥ 0, y ≥ 0

3) The fieldwork constraint can be represented as:

23x + 15y ≥ 154

The time to be spent at university research center can be represented as:

17x + 25y ≥ 140

Both fieldwork time and time spent at university research center mut be greater than 0, hence:

x ≥ 0, y≥ 0

The cost equation is:

Minimize cost = 295x + 416y

5 0
3 years ago
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40cm. Por que 10 e 4
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Warren started making oatmeal cookies at 3:30 pm.It took him 30 minutes to make the dough and 2 hours to bake all of the cookies
ladessa [460]
6PM I believe because 3:30 + 30 min = 4:00 + 2 hr (2:00) = 6:00!

Hope this helped and sorry if it’s incorrect!

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3 years ago
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