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3 years ago

2. Given: 2(x– 9) = -10; Prove: X= 4 What are the reasons

Mathematics

1 answer:

Mazyrski [523]3 years ago

7 0

Answer:

true

Step-by-step explanation:

If u put 4 into x's place in the equation it equals 10

2(4-9) =-10

2(-5) = -10

negative times a positive is always a negative

PEMDAS

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233 cartons of food; 467 cartons of clothing

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This linear programming problem can be formulated as two inequalities (in addition to the usual constraints that the variables be non-negative). One of these expresses the constraint on weight. Let f and c represent numbers of food and clothing containers, respectively.

40f +25c ≤ 21000

The other expresses the limit on volume.

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Feasible Region vertex

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f = 233 1/3

The second boundary line equation can be rearranged to find c:

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The nearest integer numbers to these values are ...

(f, c) = (233, 467)

The other vertices of the feasible region are associated with one or the other variable being zero: (f, c) = (0, 840) or (350, 0).

Check of Integer Solution

Trying these in the constraint inequalities gives ...

40·233 +25·467 = 20,995 < 21000
20·233 +5·467 = 6995 < 7000

Selection of the Answer

The answer to the question will be the feasible region vertex that maximizes the number of people helped. That is, we want to maximize ...

p = 13f + 6c

The values of p at the vertices are ...

p = 13·233 + 6·467 = 5831

p = 13·0 + 6·840 = 5040

p = 13·350 + 6·0 = 2100

The most people are helped when the plane is filled with 233 food cartons and 467 clothing cartons.

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