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.

Answer:

80°

Step-by-step explanation:

Because the triangle are congruent, the 3rd angle of both triangle needs to bring the sum of the triangle to 180°, so the last angle must be 80

don't use rope, us duck tape it always works

this is a haha funny joke by the way

Answer:

Step-by-step explanation:

Due to the fact that the exponents are identical, you would simply subtract.

-7+19 = 12x^2

The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .

The active gathering of data from a primary source is observation. Observation of living things makes use of the senses. In science, observation can also entail the perception of information and the recording of that information using tools.

Because of ethical considerations or practical limitations, an observational study infers information from a sample to the population even when the researcher has no control over the independent variable.

An experiment is a technique used to confirm or deny a hypothesis, as well as assess the possibility or effectiveness of something that has never been done before. Experiments show what happens when a certain component is modified, which sheds light on cause-and-effect relationships.

The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .

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Answer:

\(f(x)=500*(.057)^x\)

Step-by-step explanation:

Answer:

 2a2 • (a + 1) • (a - 3)

Step-by-step explanation:

The answer is 231 inches.

To understand how we arrive at this answer, let's break down the given measurement step by step. We have 6 yards, 3 feet, and 7 inches.

Starting with yards, we know that 1 yard is equal to 3 feet, so 6 yards would be equivalent to 6 * 3 = 18 feet. Adding the 3 feet given, we have a total of 18 + 3 = 21 feet.

Moving on to inches, we know that 1 foot is equal to 12 inches. So, the 21 feet we calculated earlier would be equal to 21 * 12 = 252 inches. Finally, adding the 7 inches given, we get a total of 252 + 7 = 259 inches.

Therefore, 6 yards 3 feet 7 inches is equal to 259 inches.

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Answer:

11

Step-by-step explanation:

first u 90 minus 67 equals 23

and if u times 11 by 4 equal 44

minus 21 equals 23 which would make the equation true

hope this helped

Answer:

62 i believe

Step-by-step explanation:

radius r = 10 in

diameter d = 20 in

circumference C = 62.8318531 in

area A = 314.159265 in2

The numbers in order are 7, 8, 9, 11, 11, and 11.

Mode:

The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all

Here we have to arrange the number in order.

Range:

The difference between the lowest and highest values.

Pu the six numbers in order from small to large.

7,8,9,11,11,11

So the median of the number is = (9 + 11) /2

= 10

The mode of these numbers is = 11

As 11 is three times in the series.

The range of the numbers is = 11-7 =4

Therefore the order is 7, 8, 9, 11, 11, 11.

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The factor form of the quadratic equations are listed below:

Case 13: (b - 4) · (b - 2)

Case 14: (n + 4) · (n + 2)

Case 15: 2 · (n + 9) · (n - 6)

Case 16: 5 · (n + 2)²

Case 17: 2 · (k + 5) · (k + 6)

Case 18: (a - 10) · (a + 9)

Case 19: (p + 10) · (p + 1)

Case 20: 5 · (v - 2) · (v - 4)

Case 21: 2 · (p + 2) · (p - 1)

Case 22: 4 · (v - 2) · (v + 1)

Case 23: (x - 10) · (x - 15)

Case 24: (v - 5) · (v - 2)

Case 25: (p + 6) · (p - 3)

Case 26: 6 · (v + 10) · (v + 1)

In this problem we find quadratic equations of the form a · x² + b · x + c, whose factor form is introduced below:

a · x² + b · x + c = a · x² + a · (- r₁ - r₂) · x + a · r₁ · r₂ = a · (x - r₁) · (x - r₂)

Where r₁, r₂ are real roots.

Now we proceed to present the factor form of each quadratic equation:

Case 13

b² - 6 · b + 8 = (b - 4) · (b - 2)

Case 14

n² + 6 · n + 8 = (n + 4) · (n + 2)

Case 15

2 · n² + 6 · n - 108 = 2 · (n² + 3 · n - 54) = 2 · (n + 9) · (n - 6)

Case 16

5 · n² + 10 · n + 20 = 5 · (n² + 2 · n + 4) = 5 · (n + 2)²

Case 17

2 · k² + 22 · k + 60 = 2 · (k² + 11 · k + 30) = 2 · (k + 5) · (k + 6)

Case 18

a² - a - 90 = (a - 10) · (a + 9)

Case 19

p² + 11 · p + 10 = (p + 10) · (p + 1)

Case 20

5 · v² - 30 · v + 40 = 5 · (v² - 6 · v + 8) = 5 · (v - 2) · (v - 4)

Case 21

2 · p² + 2 · p - 4 = 2 · (p² + p - 2) = 2 · (p + 2) · (p - 1)

Case 22

4 · v² - 4 · v - 8 = 4 · (v² - v - 2) = 4 · (v - 2) · (v + 1)

Case 23

x² - 15 · x + 50 = (x - 10) · (x - 15)

Case 24

v² - 7 · v + 10 = (v - 5) · (v - 2)

Case 25

p² + 3 · p - 18 = (p + 6) · (p - 3)

Case 26

6 · v² + 66 · v + 60 = 6 · (v² + 11 · v + 10) = 6 · (v + 10) · (v + 1)

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Answer:

The answer is 20.5% .

Step-by-step explanation:

This is the answer because it is already raining. since it is already raining we take the 16% and divide that by what has already occured to get 20.5%

Jackie should win the event about 53 times.

Given that Jackie has won the 100-meter dash 92% of the time in the past and she runs the 100-meter dash 58 times this year, we have to find about how many times she should win the event. We need to round the answer to the nearest whole number.We know that Jackie has won the 100-meter dash 92% of the time.

So the number of times Jackie won the event = 92/100 × 58= 53.36 ≈ 53 timesRounding 53.36 to the nearest whole number, we get 53 as the nearest whole number.Therefore, Jackie should win the event about 53 times.

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Answer:

k = - 18

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 2

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (3, - 12) and (x₂, y₂ ) = (6, k)

m = \(\frac{k+12}{6-3}\) = \(\frac{k+12}{3}\) = - 2 ( multiply both sides by 3 )

k + 12 = - 6 ( subtract 12 from both sides )

k = - 18

Answer:

126 yards

Step-by-step explanation:

There are three feet in a yard, and so three yards per balloon string. If you multiply 3 (yards) by 42 (balloons), you get 126 yards.

Sample size and the confidence level width have an inverse relationship. As the sample size increases, the confidence level width decreases.

When determining a confidence interval for a population parameter, such as the mean or proportion, a larger sample size provides more information about the population. This increased information leads to a narrower confidence interval.

The confidence level width is influenced by two factors: the sample standard deviation (or the variability of the data) and the critical value associated with the desired confidence level. As the sample size increases, the sample standard deviation becomes a more accurate estimate of the population standard deviation. This reduces the variability and leads to a narrower confidence interval.

A larger sample size leads to a decrease in the confidence level width, providing a more precise estimate of the population parameter with a higher level of confidence.

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Answer:

You can't simplify, so the answer is 7:10 and 3:5

The equation which has all real numbers for its solution set is 2x +7= -2x+7.

A real number is any number that is in the set of real numbers, which includes all the rational numbers and all the irrational numbers.

For an equation to have all real numbers as its solution, it must be true for any value of x, and this is only possible if the equation is an identity or a contradiction.

In the given options, the only equation which is an identity is

2x +7= -2x+7. If we simplify this equation, we get:

2x +7= -2x+74x = 0x = 0Since x can take any value, this equation is true for all real numbers.

Therefore, the main answer to the given question is option

A: 2x +7= -2x+7.

The summary of the answer is that this equation is true for all real numbers as its solution set.

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The solution is:  the total surface area of the cylinder is: 208.92 unit^2.

Here, we have,

we know that,

Area of ends:

Area of Circle = πr²

given,  radius is 3.5 and the height is 6

so, we get,

Area of end = π3.5²=49/4π

There are two ends so we multiply that by 2 to get 49/2π

Area of Rest:

First, we need to find the circumference using the equation: πd

πx7=7π

Then to find the area we just need to multiply 7π by the height

7π x 6 = 42π

Total surface area

we now just need to add them together

49/2π + 42π = 133/2π

                    = 208.92

Hence, The solution is:  the total surface area of the cylinder is: 208.92 unit^2.

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The surface area of the given cylinder is 208.81 square units.

Given that, the radius of a cylinder is 3.5 units and the height is 6 units.

We know that, the total surface area of a cylinder is 2πr(r + h).

Here, surface area = 2×3.14×3.5×(3.5+6)

= 2×3.14×3.5×9.5

= 208.81 square units

Therefore, the surface area of the given cylinder is 208.81 square units.

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Answer:

Step-by-step explanation:

20*3

=60

60 of 40/100

=60*40/100

=24sack lunches contain a turkey sandwich

Answer:

Below

Step-by-step explanation:

KNO3 ===> KNO2 + O2               there is 4   o's   on R  and 3 on Left

4 KNO3  = 4 KNO2  + 2 O2  <=====this is balanced, but you can divide by 2

2 KNO3 = 2KNO2 + O2 <====balanced, reduced form

Step-by-step explanation:

The balanced chemical equation for the reaction of potassium nitrate (KNO3) to produce potassium nitrite (KNO2) and oxygen gas (O2) is:

2KNO3 → 2KNO2 + O2

This is chemistry

Answer:

1,205

Step-by-step explanation:

Take 810, and divide by 2, getting 405

Add 810 and 405

810 + 405 = 1,205

Answer:

1215

Step-by-step explanation:

50 over 100 × 810 over 1

cross out one 0 in 100 and the 0 in 810.

then turn the 50 into 5 and the 10 into 1.

5x81=405

810+405+1215

pls mark me brainliest

Answer:

That’s her nephew!

He could also be the father.

Step-by-step explanation:

the answer is 8 < 8

that is the answer to the question

In the expression (-6)⁴, the power and exponent is 4

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

In this case, the power or exponents us the number of times the number is raised which is 4.

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The complete factorization of the polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

A polynomial is an expression consisting of coefficients and variables forming an equation.

Given the polynomial:

x³ + 2x² -x - 2

Factorizing:

= (x + 2)(x² - 1)

= (x + 2)(x + 1)(x - 1)

The polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

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Answer:

Step-by-step explanation:

\(Cos \ 39 = \frac{adjacent \ side}{hypotenuse}\\\\0.7771 = \frac{7}{x}\)

x * 0.7771 = 7

\(x =\frac{7}{0.7771}=9.007\)

x = 9

Answer:

exponential

Step-by-step explanation:

it is an exponential function

+7

+10

+15

+21

+30

Answer:

39

Step-by-step explanation:

15/25 = 0.6 - She can read 0.6 pages in 1 minute.

0.6 X 65 = 39

There are 39 pages she can read in 65 minutes.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

Jamie reads 15 pages in 25 minutes

And, wants to know how many pages she can read in 65 minutes

Now, Let number of pages read in 65 minutes = x

Hence, We can formulate;

x / 65 = 15 / 25

x = 15 x 65 / 25

x = 39

Thus, There are 39 pages she can read in 65 minutes.

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Answer:

11, subtraction, 23 - 12 = 11