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larisa [96]
3 years ago
12

Jk=6x, kl=3x, and jl=27

Mathematics
1 answer:
sweet [91]3 years ago
6 0

I am going to assume these are points across the same line. (line segments)

If so, then jk + kl = jl

If jk is 6x and kl is 3x, we can solve for x.

6x + 3x = 27 (note we subbed 27 in for jl)

9x = 27 (divide both sides by 9 to leave on x on the left)

x = 3

CHECK! sub 3 in for x in the original problem.

6 (3) + 3 (3) = 27

18 + 9 = 27

Yes! It checks. x = 3

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The Continuing Education Division at the Ozark Community College offers a total of 30 courses each semester. The courses offered
dybincka [34]

Answer:

The college should offer 20 practical courses and 10 humanistic courses in order to maximize the revenue.

Step-by-step explanation:

a)

Let x and y be  

<em>x= number of practical courses the college will offer</em>

<em>y= number of humanistic courses the college will offer</em>

we have the following inequalities

x ≥ 10

y ≥ 10

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The only points (x,y) that satisfy all this inequalities are (10,20) and (20,10) (see picture attached).

On the other hand, the revenues would be given by  

R = 1,500x + 1,000y

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b)  

If x = 21 then y must be 9, and then y does not satisfy y ≥ 10.

So you can only offer additional humanistic courses.

In n is an integer < 30

But if y=10+n  then x must be 30-n and the revenue would be

R = 1,500(30-n) + 1,000(10+n) =  

350,000 - 1,500n + 100,000+ 1,000n =  

400,000 - 500n < 400,000

This result means in terms of offering additional courses, that is not worth doing it.

8 0
3 years ago
I need help with this question
kenny6666 [7]
Answer # 5

AB/DB   =   CB/EB ( Substitution Property of Equality.).


Hope this helps!!!!
5 0
3 years ago
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