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Soloha48 [4]
2 years ago
12

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.

Write two expressions for this situation, one representing the cost per customer and the other representing the average number of customers. Assume that x represents the number of $1 increases in the cost of the buffet.

Enter the correct answer in the box. Type the cost expression on the first line and the customer expression on the second line.
Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
5 0

The best pricing decision that is made is to sell each unit for $3.

<h3>How to calculate the price?</h3>

From the information given, the revenue will be:

= Customer × Charge

= 16 × 10

= 160

Based on the information given, the equation will be:

(10 + x)(16 - 2x) ≥ 130

160 - 20x + 16x - 2x² ≥ 130

-2x² - 4x + 30 ≥ 0

x² + 2x -15 ≤ 0

(x+1)² ≤ 4²

x+1 ≤ 4

x ≤ 3

Learn more about price on:

brainly.com/question/16935491

#SPJ1

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Solve for x. Write the smaller solution first, and the larger solution second.
Shkiper50 [21]

Answer:

Step-by-step explanation:

x^2 + 3x - 10 = 0

(x - 2)(x + 5) = 0

x - 2 = 0       x + 5 = 0

x = 2             x = -5

smaller x = -5

larger x = 2

5 0
3 years ago
If I roll two six-sides dice, what is the probability that the sum of the numbers that show up on the dice is 3 or less?
liq [111]

Answer:

1/12

Step-by-step explanation:

first we have to find all the possibilities of getting a sum of 3 or less: 1+1 or 1+2 and we count the second combination 2 times because the numbers can be on either of the dices so we have a total of 3 possibilities. all the possible pairimg of dice are 6*6=36 because each dice has 6 sides and we can get either of them. so the probability would be the chance of getting a sum of 3 or less divided by all the diff combination which equals 3/36 or 1/12 which is roughly around 8.3%

4 0
3 years ago
Pre college need help
jek_recluse [69]

Answer:

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5 0
3 years ago
Find the area of the given triangle to the nearest square unit. A =___ square units
never [62]
We know that

the law of sinus established
a/sin A=b/sin B=c/sin C
so
A=30°
B=45°
b=10 units
a/sin A=b/sin B---------> a/sin 30=10/sin 45------> a=10*sin 30/sin 45
a=7.07 units
C=180-(A+B)-------> C=180-(75°)-----> C=105°
b/sin B=c/sin C--------> c=b*sin C/sin B----> c=10*sin 105/sin 45
c=13.66 units

Area=(1/2)*b*c*sin A-------> Area=(1/2)*10*13.66*sin 30°-----> 34.15 units ²

the area of triangle is 34 units²



7 0
3 years ago
If f(x)=x-7 and g(x)=x^3, what is G(f(x))?
lesya692 [45]
Replace the 'x' in the formula for g(x) by f(x):-

g(f(x)) =  (x-7)^3

Its D
8 0
4 years ago
Read 2 more answers
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