Answer:
- 40 packages from Fred Motors
- 20 packages from Admiral Motors
- 40 packages from Chrysalis
Step-by-step explanation:
I would formulate the problem like this. Let f, a, c represent the numbers of packages bought from Fred Motors, Admiral Motors, and Chrysalis, respectively. Then the function to minimize (in thousands) is …
objective = 500f +400a +300c
The constraints on the numbers of cars purchased are …
5f +5a +10c >= 700
5f +10a +5c >= 600
10f +5a +5c >= 700
Along with the usual f >=0, a>=0, c>=0. Of course, we want all these variables to be integers.
Any number of solvers are available in the Internet for systems like this. Shown in the attachments are the input and output of one of them.
The optimal purchase appears to be …
- 40 packages from Fred Motors
- 20 packages from Admiral Motors
- 40 packages from Chrysalis
The total cost of these is $40 million.
Answer:
From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.
Step-by-step explanation:
Given the system of equations
so the system of equations becomes
solving 5y = 10 for y
Divide both sides by 5
simplify
Adding 6 to both sides
Divide both sides by 6
Therefore, the solution to the system of equations be:
From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.
One method that I use often is to bounce the decimal point over and multiply by 2. ex/ total is 23.52, bounce the decimal between the 2 and 3 to get 2.30 then multiply by 2 giving you 4.60.
or take the total 23.52 and multiply it by .20 which will give you 4.70
Answer:
16/45
Step-by-step explanation:
Step 1: When dividing fractions, use “KFC”. It means Keep the first fraction, Flip the second one, and
Change it to multiplication
-4/20 ÷ -9/16 → -4/20 ∙ 16/-9
Step 2: Reduce any fractions if necessary, it makes multiplying them easier and you will have to reduce anyway at the end. It’s easier arithmetic to reduce at this step. The first fraction reduces because both the numerator and denominator are divisible by 4.
-1/5 ∙ 16/-9
Step 3: Multiply numerators and denominators together to get one fraction
(-16)/(-45)
Step 4: Cancel out the negatives, a negative divided by a negative is a positive. Our final answer is
16/45
X² - 6x + y² + 4y = 86
Complete the square:
x² - 6x + (9) + y²+4y + (4) = 86 + (9) + (4)
→(x - 3)² + (y + 2)² = 99
Center: (3, -2)
radius: √99 = 3√11
