The graph seems to show the solution to be the point (50, 11), and, indeed, that point checks in both equations!
To use algebra to solve the linear system, make the problem easier to solve by eliminating fractions.
Multiply all terms in the first equation by 40 (the denominator in the coefficient of q):

Multiply all terms in the second equation by 50:

Add the two resulting equations.

Plug that back into either equation to get q=50.
The mean of these workers is total salary/number of workers=(5*25000+3*27000+1*34000)/(5+3+1)=26667, approximately. The standard deviation formula is \sqrt(1/n*sum of (x_i-mu)^2) from 1 to n. Plug in n=9, mu=26667, the standard deviation is 2915 dollars approximately.
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Answer: Choice B</h3>
Work Shown:
1.05*20 = 21
The 1.05 represents an increase of 5% because
100% + 5% = 1.00 + 0.05 = 1.05
Answer:-3
Step-by-step explanation:
Answer:
- 10 liters of orange juice
- 5 liters of champagne
Step-by-step explanation:
Let c represent the number of liters of champagne Lauren uses. Then (15-c) will be the number of liters of orange juice. The total cost of the mix will be ...
12c +1.50(15-c) = 5.00(15)
10.5c = 52.50 . . . . . subtract 22.50, simplify
52.50/10.5 = c = 5 . . . . divide by the coefficient of c
Then the amount of orange juice is ...
15 -c = 15 -5 = 10 . . . . liters
Lauren should use 5 liters of champagne and 10 liters of orange juice.