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ra1l [238]
3 years ago
15

The difference of two numbers.(a,b) is 21. The difference of 5 times a and 2 times b is 18. What are the values of a,b?

Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0
The equation is b-a= 21;
2b-5a = 18
a=8 and b= 29
therefore 29-8= 21
2 (29) -5 (8) = 18
58-40=18
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The profit that a vendor makes per day by selling x elephant ears is given by the function P(x)= -0.004x^2+3.2x-200. Find the nu
dezoksy [38]

Answer:

The number of elephant ears that must be sold to maximize profit is 400.

Step-by-step explanation:

Given that,

The profit that a vendor makes per day is given by

P(x)= - 0.004x² +3.2 x -200

where x is number of elephant ears.

P(x)= - 0.004x² +3.2 x -200

Differentiating with respect to x

P'(x)= - 0.008x+3.2

Again differentiating with respect to x

P''(x) = -0.008

For maximum or minimum P'(x)=0

- 0.008x+3.2=0

⇒0.008x=3.2

\Rightarrow x=\frac{3.2}{0.008}

⇒ x = 400

P''(x)|_{x=400} = -0.008

Since at x=400, P''(x)<0, the profit is maximize.

P(400) = -0.004×400²+3.2×400-200

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The number of elephant ears that must be sold to maximize profit is 400.

3 0
3 years ago
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Answer:

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4 0
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Read 2 more answers
Bonita spent $8.94 on groceries. She bought a gallon of milk for $4.29 and 3pounds of sliced turkey. How much does 1 pound of sl
Vesna [10]
<h2>Information</h2>

$8.94 spent in total on groceries

Gallon of milk = $4.29

3 pounds of sliced turkey bought = ?


<h2>Explanation</h2>

Subtract the total amount spent on groceries with what items you have prices for (in this case the gallon of milk):

$8.94 (total spent) - $4.29 (gallon of milk) = $4.65 (for 3 pounds of sliced turkey)

Next, divide the price for 3 pounds of sliced turkey with however many pounds Bonita bought (in this case, 3 pounds):

$4.65 (total for 3 pounds of turkey) ÷ 3 (pounds of turkey) = $1.55 (per pound of turkey)


<h2>Solution</h2>

Each pound of turkey costs $1.55

5 0
3 years ago
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