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Zielflug [23.3K]
2 years ago
5

A 16 ounce bag of

Mathematics
1 answer:
Mrrafil [7]2 years ago
3 0

Answer: 16 ounce bag

Step-by-step explanation:

We can find the value by finding the cost per ounce, or cost/ounces.

4.35/16 = 0.27 dollars per ounce.

3.95/12 = 0.33 dollars per ounce.

Less dollar per ounce means you are saving money. Therefore, the 16 ounce bag is the better deal.

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Some steps to construct an angle MNT congruent to angle PQR are listed below. Step 3 is not listed:
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Answer: D. Maintaining the same width of the compass as AB, draw an arc from point X such that it intersects the arc drawn from N in a point Y.

Took the test.

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2 years ago
QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu
Harman [31]

Answer:

(a)Revenue function, R(x)=580x-x^2

Marginal Revenue function, R'(x)=580-2x

(b)Fixed cost =900 .

Marginal Cost Function=300+50x

(c)Profit,P(x)=-35x^2+280x-900

(d)x=4

Step-by-step explanation:

<u>Part A </u>

Price Function= 580 - 10x

The revenue function

R(x)=x\cdot (580-10x)\\R(x)=580x-x^2

The marginal revenue function

\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x

<u>Part B </u>

<u>(Fixed Cost)</u>

The total cost function of the company is given by c=(30+5x)^2

We expand the expression

(30+5x)^2=(30+5x)(30+5x)=900+300x+25x^2

Therefore, the fixed cost is 900 .

<u> Marginal Cost Function</u>

If  c=900+300x+25x^2

Marginal Cost Function, \frac{dc}{dx}= (900+300x+25x^2)'=300+50x

<u>Part C </u>

<u>Profit Function </u>

Profit=Revenue -Total cost

580x-10x^2-(900+300x+25x^2)\\580x-10x^2-900-300x-25x^2\\$Profit,P(x)=-35x^2+280x-900

<u> Part D </u>

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

P(x)=-35x^2+280x-900\\P'(x)=-70x+280\\-70x+280=0\\-70x=-280\\$Divide both sides by -70\\x=4

The number of cakes that maximizes profit is 4.

6 0
3 years ago
Help please!<br> Sorry for the image quality.
VARVARA [1.3K]

Answer:

\displaystyle (-1,\frac{-3}{2})

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Midpoint Formula: \displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (-3, 1)

Point (1, -4)

<u>Step 2: Find Midpoint</u>

Simply plug in your coordinates into the midpoint formula to find midpoint

  1. Substitute [MF]:                         \displaystyle (\frac{-3+1}{2},\frac{1-4}{2})
  2. [Fractions] Add/Subtract:         \displaystyle (\frac{-2}{2},\frac{-3}{2})
  3. [Fractions] Divide:                    \displaystyle (-1,\frac{-3}{2})
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The members of the boosters organization at your high school bought new balls for the school . They spent $ 22.00 per basketball
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If a car travels 55 miles per hour, how long will it have traveled if it travels 110 miles?
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Answer:

2 hours

Step-by-step explanation:

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