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Zanzabum
3 years ago
6

in a salad with vegetables containing 50 calories dressing is added at 100 calories per ounce. The total number of calories can

be represented by the equation f(x) = 100x +50. What is the reasonable range for the situation?
Mathematics
1 answer:
Vika [28.1K]3 years ago
4 0

Answer:

Step-by-step explanation:

To get the reasonable range of the situation, we will find the minimum value and maximum value of the calories that can be dressed.

The minimum occur at when x = 0

f(0) = 100(0) +50.

f(0) = 50

Hence the minimum value of the calorie is 50.

The maximum value occur at f'(x)

f'(x)  = 100

Hence the maximum value of the calorie is 100

Hence, the reasonable range for the situation is 50 ≤ x ≤ 100

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harry wants to bake a small cake so he uses 1 cup of sugar based on the recipe how many cups of flour should he use
erma4kov [3.2K]

I think that Harry should use 1.5-2 cups of flour for his cake. It depends on the size of the cake so if its pretty small, 1.5 cups should work. If you want to take a risk, use more cups of flour.

8 0
4 years ago
Read 2 more answers
Solve the right angle trig. round to the nearest tenth.
Tresset [83]

Answer:

x ≈ 58.9

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>Geometry</u>

  • [Right Triangles Only] tan∅ = opposite over adjacent

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use trig to find the missing side length.

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

<em>POV from the angle measure</em>

Angle = 23°

Opposite Leg = 25

Adjacent Leg = <em>x</em>

<em />

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

  1. Substitution [tangent]:                    tan23° = 25/x
  2. Multiply <em>x</em> on both sides:                xtan23° = 25
  3. Isolate <em>x</em>:                                          x = 25/tan23°
  4. Evaluate:                                          x = 58.8963
  5. Round:                                             x ≈ 58.9
8 0
3 years ago
The ratio of the perimeters of two similar triangles is 4:7. What is the area of each of these triangles if the sum of their are
Mashcka [7]

Answer:

The area of triangles are 16 cm^2 and 49 cm^2

Step-by-step explanation:

we know that

If two figures are similar, the ratio of its perimeters is equal to the scale factor and the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of the smaller triangle in square centimeters

y ----> the area of the larger triangle in square centimeters

we know that

z=\frac{4}{7}

\frac{x}{y}=z^2

so

\frac{x}{y}=(\frac{4}{7})^2      

\frac{x}{y}=\frac{16}{49}

x=\frac{16}{49}y -----> equation A

x+y=65 ----> equation B

solve the system by substitution

substitute equation A in equation B

\frac{16}{49}y+y=65

solve for y

\frac{65}{49}y=65

y=49\ cm^2

Find the value of x

x=\frac{16}{49}(49)

x=16\ cm^2

therefore

The area of triangles are 16 cm^2 and 49 cm^2

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4 years ago
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Graping the line.<br> Please reply fast!!
vekshin1
-2x+y=2
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Which color is the line that represents an equivalent ratio? How can you tell by looking at the lines?
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Step-by-step explanation:

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