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2 years ago

Johnny has $12 less than Sarah. Sarah has $35 less than Carla. In total, they have $143. How much money does each of them have?

Mathematics

1 answer:

Harman [31]2 years ago

8 0

Answer:

Step-by-step explanation:

Amount with Carla = $ x

Amount with Sarah = x - 35

Amount with Johnny = x - 35 - 12

x + x -35 + x - 35 -12 = 143

3x - 82 = 143

3x = 143 + 82

3x = 225

x = 225/3

x = 75

Amount with Carla = $ 75

Amount with Sarah = 75 - 35 = $ 40

Amount with Johnny = 40 - 12 = $ 28

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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

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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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2 years ago

Georgina knows the inequality is true, but she cannot remember what number is in the denominator.

stealth61 [152]

Answer:

Step-by-step explanation:

Which number could be the missing number?

Given the inequality expression, 1/10 > 1/ ?

We are to fine the missing number that will make the inequality true;

Cross multiply:

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x > 10

Hence the value of x greater than 10 is the answer. From the options, the only value greater than 10 is 12. Hence 12 is the correct answer.

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3 years ago

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$300, 5%, 2 years explain

dsp73

<h2>ANSWER:</h2><h2 /><h2>16,000</h2>

<h2>EXPLANATION:</h2>

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Answer:

The venue has to host 47 events throughout the year

Step-by-step explanation:

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Profit is revenue subtracted by costs.

Per event:

$100,000 revenue

$50,000 costs

$100,000 - $50,000 = $50,000 profit.

If the venue wants to make a total profit margin of $2,350,000, how many events does the venue have to host throughout the year?

1 event - $50,000 profit.

x events - $2,350,000 profit.

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