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almond37 [142]
3 years ago
7

Blueberry frozen yogurt costs $0.59 per ounce. How much would 3 ounces cost?

Mathematics
1 answer:
KIM [24]3 years ago
4 0
Just take 0.59 times 3
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Total profit P is the difference between total revenue R and total cost C. Given the following​ total-revenue and​ total-cost fu
gavmur [86]

Answer:

The profit function is:

P(x)=-x^2+1280x-3300

The maximum value is 406, 300 occurring when x = 640.

Step-by-step explanation:

The revenue function is:

R(x)=1300x-x^2

And the cost function is:

C(x)=3300+20x

Then the total profit function will be:

P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300

This is a quadratic function.

Therefore, the maximum value of the total profit will occur at its vertex point.

The vertex of a quadratic is given by:

\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)

In this case, a = -1, b = 1280, and c = -3300.

Then the point at which the maximum profit occurs is at:

\displaystyle x=-\frac{1280}{2(-1)}=640

And the maximum profit will be:

P(640)=-(640)^2+1280(640)-3300=406300

5 0
3 years ago
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What is the best definition of a triangle?
NISA [10]

Answer:

A figure formed by 3 segments connecting 3 non-colinear points.

3 0
3 years ago
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PLS HELPPPPPPPPPP MEEEEEEEEE
shtirl [24]

Answer:

A and C

Step-by-step explanation:

Both angles j and m share one common side and vertex with angle k. Angle n only shares a vertex and not a side with angle k, so it is not adjacent.

6 0
2 years ago
The ages of three siblings combined is 27. The oldest is twice the age of the youngest. The middle child is 3 years older than t
kondaur [170]

Answer:

the oldest sibling is 12 years old.

The middle child is 9 years old.

The youngest child is 6 years old.

Step-by-step explanation:

Let the age of the youngest child be x

Then the oldest child will be 2x.

The middle child will be x + 3.

Since the combined age is 27;

x + 2x + x + 3 = 27

4x = 27 - 3

x = 24 / 4

x = 6

now 2x = 12 and x + 3 = 9

7 0
3 years ago
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Find the third side in simplest radical form:
larisa [96]

Answer:

x = √53

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

Equality Properties

<u>Trigonometry</u>

  • [Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use PT to solve for the missing length.

<u>Step 2: Identify Variables</u>

Leg <em>a</em> = 6

Leg <em>b</em> = <em>x</em>

Hypotenuse <em>c</em> = √89

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Set up equation:                    6² + x² = (√89)²
  2. Isolate <em>x</em> term:                        x² = (√89)² - 6²
  3. Exponents:                             x² = 89 - 36
  4. Subtract:                                 x² = 53
  5. Isolate <em>x</em>:                                 x = √53
5 0
3 years ago
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