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Which of the following could be an algebraic expression for the total cost of dinner, less a $10 coupon, divided by 4 people?

(x − 10) ÷ 4
4x − 10
10 − 4x
4x(10)

People at the concession stand as input Cost of their order's output.

(1) The relation in question is a function.

(II) This function is not constant. (Each category of concession has a different order cost.)

Not a 1-1 function (iii). (Several persons arrived seeking the same sort of concession. So they all pay the same price for their order.)

A function describes the relationship between patrons' inputs at the concession stand and the cost of their order as an output. A function is a relationship between a set of possible inputs and outputs, where each input is associated to exactly one output.

The quantity of patrons at the concession stand serves as the input in this scenario, while the cost of their order serves as the output.

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Emily Janson should receive the scholarship offer because she has the higher batting average over the combined junior and senior years.

The batting average of a player is calculated by dividing the number of hits they have by the total number of at-bats. This can be expressed as a formula: Batting Average = H/AB.

For Allison Fealey, her junior year batting average can be calculated by dividing the number of hits (15) by the total number of at-bats (40), which is 0.375. Emily Janson’s junior year batting average can be calculated by dividing the number of hits (74) by the total number of at-bats (204), which is 0.363

For Allison Fealey, her senior year batting average can be calculated by dividing the number of hits (79) by the total number of at-bats (254), which is 0.310. Emily Janson’s senior year batting average can be calculated by dividing the number of hits (35) by the total number of at-bats (120), which is 0.292.

When the data from the junior and senior years were combined and aggregated, Allison Fealey’s combined two-year batting average can be calculated by dividing the number of hits (94) by the total number of at-bats (294), which is 0.320. Emily Janson’s combined two-year batting average can be calculated by dividing the number of hits (109) by the total number of at-bats (324), which is 0.336.

Based on this analysis, Emily Janson should receive the scholarship offer because she has the higher batting average over the combined junior and senior years.

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The sale price of the shoe is given as follows:

P3,436.

The sale price of the shoe is obtained applying the proportions in the context of the problem.

The initial price is of:

P 4,295.

The shoe is sold at a discount of 20%, meaning that the sale price is 80% of the initial price, and the value is given as follows:

0.8 x 4295 = P3,436.

The problem asks for the selling price of the shoe.

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The frequency count that should be recorded for the soup category is 6.

Subtraction is the process of taking one number away from another number. The sign used to represent subtraction is -.

The frequency count on the table should be equal to the number of students. Thus, in order to determine the frequency count for the soup category, subtract 22 from the total frequency count.

The frequency count for the soup category = 22 - (5 + 8 + 2 + 1 ) = 6

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To calculate your bi-weekly paycheck, follow these steps:

Step 1: Calculate the gross earnings:

Multiply the number of hours worked per week by the hourly rate.

20 hours/week * $9.00/hour = $180.00/week

Step 2: Calculate the total earnings for two weeks:

Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.

$180.00/week * 2 weeks = $360.00

Step 3: Calculate the deductions:

Calculate each deduction separately and subtract them from the gross earnings.

Federal Income Tax: $360.00 * 11.9% = $42.84

State Income Tax: $360.00 * 3.6% = $12.96

F.I.C.A: $360.00 * 7.65% = $27.54

Professional Dues: Amount varies depending on the specific dues.

Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues

Step 4: Calculate the net earnings:

Subtract the total deductions from the gross earnings.

Net Earnings = Gross Earnings - Total Deductions

Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.

It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.

Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.

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Answer:

ya mom

Step-by-step explanation:

ya mom

Answer:

she had here eyes open for 12.4 more hours than she had them closed

Step-by-step explanation:

1/10 eyes closed = 9/10 eyes open

9/10 is 90% is 0.9

1/10 is 10% is 0.1

15 1/2 is 15.5

15.5 x 0.9 = 13.95

15.5 x 0.1 = 1.55

13.95-1.55 = 12.4

Answer:

(A) Mean

(B)  Mean

(C) Mode

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Answer:

7z + 17

Step-by-step explanation:

Like terms

All the numbers without letters are like terms

All the numbers with letters are like terms

Since we have 2 numbers without letters, we'll combine those.

15 + 2 = 17

Since there's only one number with letters, we can keep it the same since there's no others to combine it with

7z + 17

Answer:

26/100

Step-by-step explanation:

53/100-27/100 = ?

53-27 = 26

26/100

Hyp²=ADJ²+OPP²

28²=17²+X²

784=289+x²

x²=784-289

x²=495

x=22

here is your answer 22

Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

Answer:

A B D

Step-by-step explanation:

Answer:

a, c, d

Step-by-step explanation:

Part (a)

Why not? Because we can locate the tallest building without having to gather a sample and computing any statistical values based on the sample data. Note how we have one single building and we're focused on just that building only. We aren't asking anything about a population of buildings. Statistics is the science of trying to measure a population in some way, often through the use of a sample statistic. For example, if we asked "what is the average building height in Chicago, Illinois?", then we would be asking a statistical question. Ideally, we would measure every single building in the city. Of course, that's very time consuming and impractical. So the next best thing is to randomly select a sample of buildings and try to estimate the average height like that.

Once again, we're only focused on one single building and not several. So we don't do the operations of gathering a sample and we aren't doing any statistics here. We're simply measuring the building, or looking up the building height in some records database.

=============================================================

Part (b)

The population is the set of teenagers. This could be narrowed to just the teens in one specific town, county, or regional area. It doesn't make much sense to extend the population out too far because teens too far away would likely not visit this particular mall in question. Let's say the population is every teen in a certain county. We have a lot of people in this population, so we'll have to gather a sample. Doing a census is too time consuming and expensive. This process of gathering a sample points to this question being a statistical one. We don't know which store is the most popular, but we can get a fairly good idea through the sampling process. It won't be a 100% guarantee that we got the right one considering that again the sample isn't the exact population, but we should get close if we did the sampling right.

Note how the variable in question is a qualitative one. The store names are the categories or names that the teens select in the survey. This data type is nominal and not ordinal, since stores do not have an inherent rank (other than alphabetical but that's not of much importance). Also note that the responses for this random variable are, more or less, random in nature. We simply don't know how the teens will respond assuming we go into this completely blind. It's a good idea to do so to avoid bias. This random nature helps add evidence we have a statistical question here. The random variable value is not set in stone like the tallest building is. Keep in mind that the question for part (a) is asked to refer to a very specific narrow window of time. The same can be said for part (b) as well. Be sure to carefully set up the question and avoid any ambiguity.

To summarize, to answer such a question given to us we would need to gather a sample and compute sample statistics. This is why we have a statistical question here.

Answer:

x = 10.6

Step-by-step explanation:

5x - 11 = 42

first +11 so,

5x = 53

then ÷5

x = 10.6

Answer:

28800

Step-by-step explanation:

first find Gerard's salary and then divide it by 1.25

Answer:

28800

Step-by-step explanation:

Let M be Martin and G be Gerard

Let 12:7 be 12x:7x

21000 = 7x

x = 3000

12x = 3000*12 = G after pay rise

12x = 36000 = G after pay rise

36000 = 125% G before pay rise

1.25G = 36000

G = 28800

Hope this helps ;)

9514 1404 393

Answer:

Step-by-step explanation:

All of these exponential function problems use the same equation, but with different plug-in values. These can be easily accommodated by a spreadsheet or graphing calculator.

The general form of the value after t years is ...

  (initial value)×(1 +annual growth rate)^(years)

The growth rate is positive for an increase, negative for a decrease.

a) Initial value: 22385; growth rate: -0.14; years: 10

  value after 10 years: $22385×(1-0.14)^10 = $4953.84

__

b) initial value: 290; growth rate: 0.09; years: 5

  population after 5 years: 290(1+.09)^5 = 446

__

c) initial value: $4000; growth rate: -0.10; years: 8

  value after 8 years: $4000(1 -0.10)^8 = $1721.86

Selling the car for $1500 is selling it for less than its estimated value. That may not be a good decision.

_____

Additional comment

The property value of the car is not the only consideration when evaluating the sale. Other costs related to the car may come into play, and there may be tax implications.

The proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places.

To find the proportion of Arts majors who have not found a job, we first need to calculate the total number of students who have not found a job.

The total number of students who have not found a job would be 1500 - 1380 = 120.

To calculate the proportion of students who have not found a job, we can divide the number of students who have not found a job by the total sample size:

The proportion of students who have not found a job = 120 / 1500 = 0.08 or 8%.

Therefore, the proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places. This suggests that a majority of the graduating Arts majors from the University of Western Cape have found employment before their graduation.

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To calculate hydronium concentration from pH, type on you calculator

10 to the power of negative pH value

10^-5.5 = 3•10^6 mol/L

Since there are 3 hydrogens in every hydronium molecule,

There are 9 • 10^6 hydrogens in that liter of acid.

The domain of the exponential function is all real numbers.

The domain of a function refers to the set of all possible input values (also known as the independent variable) for which the function is defined.

For the exponential function y = 2ˣ + 6, the domain includes all real numbers.

This is because there are no restrictions on the input values that can be plugged into the function.

We can take any real number x, substitute it into the expression 2ˣ, and then add 6 to get a corresponding output value y.

Hence,  the domain of the exponential function is all real numbers.

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answer: 28561^2in the area involves multiplying by the 4 sides of the shaded square and the shaded is the colored square.

hope this helps :)

Answer: six-hundred and nineteen thousand four-hundred and ninety three

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Make 4 \(\frac{2}{5}\) an improper fraction. To do that multiply the denominator, 5 by 4, which gets you 20. Then add the numerator, 2, to get 22. put the original denominator back into the fraction, and you get \(\frac{22}{5}\) . If you divide that by \(\frac{2}{5}\) , you would get 11 because you divide the numerator and the denominators cancel each other out since they are both the same number, and 22 ÷ 2 = 11.