1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Margaret [11]
3 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]3 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

You might be interested in
Arianna has a large piece of fabric that she wants to use to make some scarves. The number N of scarves she can make is inversel
kow [346]
She can make 12 scarves if the area of each scarf is 4 square feet.
6 0
3 years ago
9 + 8 =
Gelneren [198K]
1. 17
2. 34
3. 62
5. 82
6. 10
7. 18
8. 19
9. 91
3 0
3 years ago
Read 2 more answers
What is the length of line segment EB? 42 units 50 units 65 units 73 units
likoan [24]
It 42 units hopes this helps 
3 0
3 years ago
Read 2 more answers
A coral reef grows 0.15 m every week. How much does it grow in 11 weeks?
Misha Larkins [42]
Coral reef = 0.15x
0.15(11) = 1.65
1 meter = 100 cm
1.65 * 100 = 165

Solution: 165 cm
3 0
2 years ago
Which of the following equations will produce the graph shown below?
melisa1 [442]
The graph is a circle, centered at the origin, with radius=4.

We know that we can write the equation of a circle with radius r and center (a,b) as :

                      (x-a)^2+(y-b)^2=r^2.

Thus, substituting (a, b) with (0, 0) and r with 4, we have:

                      x^2+y^2=16.

The solutions of this equation are all the points forming the circle shown in the picture. The solutions of this equation are still the same even if we multiply both sides of the equation by 2, because rewriting the equation as:

x^2+y^2=16\\\\x^2+y^2-16=0\\\\2(x^2+y^2-16)=0, 

we would still have the same roots.

Thus, the equation of the circle can be written as :

                                    2x^2+2y^2=32.


Answer: B

5 0
3 years ago
Read 2 more answers
Other questions:
  • Given that Y= 3x – 8, what is the sum of the gradient and intercept of the linear equation? *
    6·1 answer
  • A random sample of size 21 was taken from a normal population. the sample average was 9.87 and the sample sd was 1.17. at the si
    9·1 answer
  • What is the radius of a basketball with a diameter of 22 inches?
    10·1 answer
  • Graphing Logarithmic Function In Exercise,sketch the graph of the function.See example 1.
    11·1 answer
  • 1-3 10 POINTS PLZ HELP
    11·2 answers
  • Does anyone know the answer to this??? Please help
    9·1 answer
  • Yvette can spend no more than $100 at her local sporting goods store this week. She spends $35 on weights and wants to spend the
    8·1 answer
  • HELP I DONT UNDERSTAND.
    8·1 answer
  • Tracy saved her babysitting earnings for a month to buy some souvenirs while on vacation. She promised her three best friends a
    9·2 answers
  • Please help me I don’t how to do this
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!