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Vesna [10]
3 years ago
6

To calculate the hourly revenue from the buffet after x $1 increases, multiply the price paid by each customer and the average n

umber of customers per hour. Create an inequality in standard form that represents the restaurant owner’s desired revenue. Type the correct answer in each box. Use numerals instead of words. x2 + x + ≥
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
6 0

Answer:

The question is not complete,find below complete question

Noah manages a buffet at a local restaurant. He charges $10 for the buffet. On average, 16 customers choose the buffet as their meal every hour. After surveying several customers, Noah has determined that for every $1 increase in the cost of the buffet, the average number of customers who select the buffet will decrease by 2 per hour. The restaurant owner wants the buffet to maintain a minimum revenue of $130 per hour.

Noah wants to model this situation with an inequality and use the model to help him make the best pricing decisions.

To calculate the hourly revenue from the buffet after x $1 increases, multiply the price paid by each customer and the average number of customers per hour. Create an inequality in standard form that represents the restaurant owner’s desired revenue.

Type the correct answer in each box. Use numerals instead of words. x2 + x + ≥

Price is $8

Step-by-step explanation:

The minimum revenue of $130 is a function price multiplied by number of buffet sold

initially price per buffet was $10

16 buffet sold per hour

when cost of buffet to customer increases by $x,the number of customer would decrease by 2 multiplied x since x is the increase in the price that has turned customers away

(10+x)(16-2x) less than or equals 130

by opening brackets we have

160+16x-20x-2x^2 less than equals 130

if we divide the equation by 2

80+8x-10x-x^2

8(10+x)-x(10+x)

8-x=0 or x+10=0

x=8 0r -10

price cannot be negative hence x is $8

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3 years ago
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kaheart [24]

Answer:    206

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Firdavs [7]

The length of the unknown sides of the triangles are as follows:

CD = 10√2

AC = 10√2

BC =  10

AB = 10

<h3>Triangle ACD</h3>

ΔACD is a right angle triangle. Therefore, Pythagoras theorem can be used to find the sides of the triangle.

  • c² = a² + b²

where

c = hypotenuse side = AD = 20

a and b are the other 2 legs

lets use trigonometric ratio to find CD,

cos 45 = adjacent / hypotenuse

cos 45 = CD / 20

CD = 1 / √2 × 20

CD = 20 / √2 = 20√2 / 2 = 10√2

20² - (10√2)² = AC²

400 - 100(2)  = AC²

AC² = 200

AC = √200 = 10√2

<h3>Triangle ABC</h3>

ΔABC is a right angle triangle too. Therefore,

  • AB² + BC² = AC²

Using trigonometric ratio,

cos 45 = BC / 10√2

BC = 10√2 × cos 45

BC = 10√2 × 1 / √2

BC = 10√2 / √2 =  10

(10√2)² - 10² = AB²

200 - 100 = AB²

AB² = 100

AB = 10

learn more on triangles here: brainly.com/question/24304623?referrer=searchResults

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2 years ago
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Leni [432]

Answer:

The midpoint of TS is (-1,-3)

The coordinates of M should be (8,18)

Step-by-step explanation:


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