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Margaret [11]
2 years ago
9

A country will produce 3000 missiles this year. Each of the short-range missiles cost $200000 to produce. Each of the medium-ran

ge missiles cost $300,000 to produce. The ratio of the number of short-range to medium range to long-range missiles the country plans to produce this year is 3:3:4. The countries plans to use 870 million dollars to produce these missiles. How much does it cost to produce a long-range missile?
Mathematics
1 answer:
Lynna [10]2 years ago
3 0

Answer:

$350,000

Step-by-step explanation:

Let's define:

  • s: amount of short-range missiles produced
  • m: amount of medium-range missiles produced
  • l: amount of long-range missiles produced

From the total production and the ratios we can write the following equations:

s + m + l = 3000

s/m = 3/3 = 1 = m/s

s/l = 3/4 or l/s = 4/3

Dividing the first equation by s, we get:

s/s + m/s + l/s = 3000/s

1 + 1 + 4/3 = 3000/s

10/3 = 3000/s

s = 3000*3/10 = 900

m = 900

l =  4/3*900 = 1200

From the money that the countries plans to use and each missile cost, we can write the following equation:

200,000*s + 300,000*m + cost*l = 870,000,000

Replacing with previous result:

200,000*900 + 300,000*900 + cost*1200 = 870,000,000

cost = (870,000,000 - 200,000*900 - 300,000*900)/1200 = 350,000

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3 years ago
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Neporo4naja [7]

Answer:

0.0492

Step-by-step explanation:

Based on the tree diagram we need to tell the the probability that the test for lice returns a false positive. False positive means that the student has no lice but still the test shows a positive result.

So for this we have to first look for the branch, from the starting node, which shows that student has no lice. From the starting point, the upper branch represents the students that have lice and lower branch represents the students who have no lice. So, we will consider the lower branch with probability mentioned as 0.82

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Thus, the probability that the test for lice returns a false positive is 0.0492

4 0
2 years ago
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vodomira [7]

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Learn more about linear function here:

brainly.com/question/4025726

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7 0
1 year ago
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Answer:

<em>2.399</em>

Step-by-step explanation:

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tan(sin^-1((-12/13)) = tan(-67.38)

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Answer:

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Step-by-step explanation:

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