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scoundrel [369]
3 years ago
10

Solve for x pls show work 1/2*(x - -6)= -1

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
5 0

Answer: x = -4

Step-by-step explanation:

1/2 * (x - (-6)) = 1

distribute

1/2x + 3 = 1

isolate the variable

1/2x = -2

x = - 4

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Solve for x and thank you
Romashka [77]

9514 404 393

Answer:

  x = 57.6

Step-by-step explanation:

The length of the segment on the right is 30/25 = 1.2 times the length of the segment on the left.

  x = 1.2 × 48 = 57.6

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<em>Additional comment</em>

Parallel lines cut transversals proportionally. That is why 30/25 = x/48.

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6 0
3 years ago
A manufacturer of skis produces two types: downhill and cross country. The times required for manufacturing and finishing each s
pogonyaev

Answer:

So to maximize profit 24 downhill and 20 cross country shouldbe produced

Step-by-step explanation:

Let X be the number of downhill skis and Y the number of cross country skis.

Time required for manufacturing and finishing each ski are: manufacturing time per ski, downhill 2.5 hours, cross country 1.5 hours

Finishing time per ski: downhill 0.5 hours, cross country 1.5 hours.

Total manufacturing time taken = (2.5) x+ (1.5+) y = 2.5x+1.5y≤90

total finishing time taken = 0.5x+1.5 y≤42

Profit function

Z = 50x+50y

Objective is to maximize Z

Solving the two equations we get intersecting point is

(x,y) = (24,20)

In the feasible region corner points are (0.28) (36,0)

Profit for these points are

i) 2200 for (24,20)

ii) 1400 for (0,28)

iii) 1800 for (36,0)

So to maximize profit 24 downhill and 20 cross country shouldbe produced.

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3 years ago
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