Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.
Step-by-step explanation:
Cost of almonds per pound = $10
Cost of roasted pistachios = $12
Total amount spent = $70
Weight of nuts = 6.3
Let,
Weight of almonds = x
Weight of roasted pistachios = y
According to given statement;
x+y=6.3 Eqn 1
10x+12y=70 Eqn 2
Multiplying Eqn 1 by 10
Subtracting Eqn 3 from Eqn 2;
Dividing both sides by 2
Putting y=3.5 in Eqn 1
Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.
Keywords: linear equations, elimination method
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A
Because i did the math and i had this question before
Answer:
I = $ 1,937.50
Step-by-step explanation:
Let <span>the production level that will yield a maximum profit for the manufacturer be x.
</span>The unit price of the disc is given by p = -0.0006x^2 + 65.
The revenue from selling x discs (R(x)) = px = -0.0006x^3 + 65x
Profit = Revenue - Cost = -0.0006x^3 + 65x - (-0.002x^2 + 13x + 4000) = -0.0006x^3 + 0.002x^2 + 52x - 4000
For maximum profit, dP/dx = 0
-0.0018x^2 + 0.004x + 52 = 0
Using quadratic formular, x = 171
Therefore, <span>the production level that will yield a maximum profit for the manufacturer is 171 discs.</span>
Answer: 28 Inches
Step-by-step explanation:
First draw a square for this. Since the kitchen tile is a square, we only need one side of the shape which in this case it 7in. Then you take this number and input it on all sides. You should have 7in on all sides. Next you write this equation: 7+7+7+7 or 7x4. This will then give you the answer 28. So, the perimeter of the kitchen tile is 28 inches.