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hjlf
2 years ago
6

Elisondra is eating at a restraurant with three friends. They want to choose at random who will order first. If you model the si

tuation with the spinner, how many equal-sized sections should the spinner have? One-fourth 1 3 4.
Mathematics
1 answer:
trapecia [35]2 years ago
8 0

An equal-sized spinner is used to model probabilities

The spinner should have 4 equal sections

The number of friends is given as:

\mathbf{Friends = 3}

When Elisondra is included, the total number of people that went to the restaurant is:

\mathbf{n = Friends + 1}

Substitute 3 for Friends

\mathbf{n = 3 + 1}

Add 3 and 1

\mathbf{n = 4}

The number of people that went to the restaurant is the number of equal sections of the spinner.

Hence, the spinner should have 4 equal sections

Read more about spinners at:

brainly.com/question/16425041

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A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D (x) = 943 - 17 x​, where q is the q
Alex73 [517]

Answer:

See expla below

Step-by-step explanation:

Given the demand function:

q = D (x) = 943 - 17 x

a) Find the elasticity:

Find the derivative of the demand function.

D'(x)= -17

Thus, elasticity expression is:

\frac{x D'(x)}{D'(x)}

= \frac{x (-17)}{943 - 17x}

= \frac{17x}{943 - 17x}

Elasticity expression = E(x) = \frac{17x}{943 - 17x}

b) At what price is the elasticity of demand equal to 1?

This means E(x) = 1

Substitute 1 for E(x) in the elasticity equation:

E(x) = \frac{17x}{943 - 17x}

1 = \frac{17x}{943 - 17x}

Cross multiply:

943 - 17x = 17x

Collect like terms

17x + 17x = 943

34x = 943

x = \frac{943}{34}

x = 27.74

Elasticity at the price of demand = 1 is 27.74

c) At what prices is the elasticity of demand elastic?

This means E(x) > 1

Therefore,

\frac{17x}{943 - 17x} > 1

\frac{17x}{943 - 17x} > 1

Cross multiply:

17x > 943 - 17x

Collect like terms

17x + 17x > 943

34x > 943

x > \frac{943}{34}

x > 27.74

The elasticity of demand is elastic at x > 27.74

d) At what prices is the elasticity of demand inelastic?

This means E(x) < 1

Therefore,

\frac{17x}{943 - 17x} < 1

\frac{17x}{943 - 17x} < 1

Cross multiply:

17x < 943 - 17x

Collect like terms

17x + 17x < 943

34x < 943

x < \frac{943}{34}

x < 27.74

The elasticity of demand is inelastic at x < 27.74

e) At what price is the revenue a maximum:

Total  revenue will be:

R(x) = x D(x)

= x (943 - 17x)

= 943x - 17x²

R(x) = 934 - 17x(price that maximizes total revenue)

Take R(x) = 0

Thus,

0 = 943 - 17x

17x = 943x

x = \frac{943}{17}

x = 27.74

Total revenue is maximun at x= 27.74 per cookie

f) At x = 21 per cookie, find the price:

Thus,

R (21) = (943 * 21) - (17 * 21²)

= 19803 - 7497

= 12306

At x = 27.74, find the price:

R(27.74) = (943 * 27.74) - (17 - 27.74²)

= 26158.82 - 13081.63

= 13077.19

We can see the new price of cookie causes the total revenue to decrease.

Therefore, with a small increase in price the total revenue will decrease.

5 0
3 years ago
What is the distance from the point (−3, −b, c) to the origin?
lord [1]

Answer:

  \sqrt{9+b^2+c^2}\,\text{units}

Step-by-step explanation:

The distance formula tells you the distance d between the points (0, 0, 0) and (-3, -b, c) is ...

  d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²) = √((-3-0)² +(-b-0)² +(c-0)²)

  = √(9 +b² +c²)

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3 years ago
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Can someone help me with this, pleasee.
Schach [20]

Answer:

i will say the first one cannot, the second one cannot and the third one can

Step-by-step explanation:

but i am not 100% sure sry

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3 years ago
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7/22 as a decimal rounded to nearest hundreths ​
zhannawk [14.2K]

Answer:

7/22 as a decimal rounded to the nearest hundredths is 0.32.

Step-by-step explanation:

7/22 as a decimal is .31818181818182,the thousandths place is over 5 which makes the hundredths place .01 higher when rounded, making it 0.32.

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2 years ago
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Can someone please answer this question
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Answer:

i think it is b

Step-by-step explanation:

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2 years ago
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