Marcus buys a shirt for $9 and a pair of jeans for $28.50. If the sales tax is 6%, what is the total price Marcus pays for the items?​

Answer:

x = 4

Step-by-step explanation:

\(\sqrt{(x -4)(x - 4)\\}\)

x - 4 = 0

x = 4

The number of packages of hot dogs is 4 hot dogs.

The number of packages of hamburgers is 5 hamburgers.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of hamburgers respectively, and then translate the word problem into algebraic equation as follows:

Since Mrs Vahey bought a total of 9 hot dogs or hamburgers, the linear equation to represent this is as follows:

x + y = 9

Additionally, hot dogs are $1.50 and hamburgers are $4, and she spent a total of $26;

1.50x + 4y = 26

Next, we would use an online graphing calculator to plot the above system of linear equations in order to determine the solution (point of intersection) as shown in the graph attached below.

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Salik and Maya are discussing a project that examines the relationship between the number of siblings someone has and their household income. Maya predicts that those with more siblings will have a higher household income. Salik questions whether the number of siblings is a categorical variable since it is a whole number. Our response can be : "In order to conduct this project, we need to choose two quantitative variables, which are variables that can be measured and expressed as numbers. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value."

The number of siblings is a quantitative variable because it can be expressed as a whole number. Household income is also a quantitative variable because it can be measured and expressed as a numerical value. Categorical variables are variables that can be divided into distinct categories or groups, such as gender, race, or occupation. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value.

To examine the relationship between the number of siblings and household income, Maya and Salik could use statistics to analyze their data. They could calculate descriptive statistics such as the mean and standard deviation for each variable, as well as the correlation coefficient to determine the strength and direction of the relationship between the two variables. They could also use probability theory to make predictions about the likelihood of certain outcomes, such as the probability that someone with more siblings will have a higher household income.

The complete question is:

Our classmates, Maya and Salik, are talking about the variables they want to study and how they plan to collect their samples. Here is part of their conversation. Respond in the places that say “your response.”

Double-check that both of their variables are quantitative.

Maya: I want to look at the relationship between the number of siblings someone has and the household income. I predict that those with more siblings have a higher household income.

Salik: We need two quantitative variables for this project. Wouldn’t number of siblings be categorical since it is whole numbers?

Your response:.........

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Answer: 6 hours

Step-by-step explanation:

The question asks how long until they meet.

First, you add 1.5 miles per hour and 2 miles per hour to get 3.5 miles per hour.

Then you divide 21/by 3.5 which gets you how many hours it takes for them to meet.

Which means 21/3.5 is 6 hours.

Answer:

The Answer Is A.

How I Found The Answer:

4 - 1 = 3

X Comes Before Y In Pairs.

Answer:

wouldn't it be A?

Step-by-step explanation:

3+1=4

3x+1y=4

Answer:

i think the answer is one

Step-by-step explanation:

The solution is : The correlation coefficient is -1

A correlation coefficient is a numerical measure of some type of correlation, meaning a statistical relationship between two variables. The variables may be two columns of a given data set of observations, often called a sample, or two components of a multivariate random variable with a known distribution.

Here, we have,

we want to get the correlation coefficient for the given dataset

from the table, what do we observe?

As x is increasing by 5 units;

y is decreasing by 5 units

What this mean is that there is a negative correlation between both

This means the linear regression will go through every point, and will be a perfect fit. The correlation coefficient, r, of a data set is 1 if it is a perfect positive fit and -1 if it is a perfect negative fit; since the slope is decreasing, this is a negative correlation, and since it fits perfectly, it is -1.

Thus, what we have here is that, since the rate of increase/decrease on both ends is of equal magnitude but opposite signs, we can conclude that the correlation coefficient is -1

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Two times the quantity of the difference m and n is equation to x more than 7

Answer:

1.29

Step-by-step explanation:

-12x3=-36

14x2=28

-36/28=-1.29

I-1.29I

Answer:

0.428571428571

Step-by-step explanation:

|-36/84|

|-0.428571428571|

0.428571428571

Answer:  f(x) will have vertical asymptotes at x=-2 and x=2 and horizontal asymptote at y=3.

Step-by-step explanation:

Given function: \(f(x)=\dfrac{3x^2}{x^2-4}\)

The vertical asymptote occurs for those values of x which make function indeterminate or denominator 0.

i.e. \(x^2-4=0\Rightarrow\ x^2=4\Rightarrow\ x=\pm2\)

Hence, f(x) will have vertical asymptotes at x=-2 and x=2.

To find the horizontal asymptote , we can see that the degree of numerator and denominator is same i.e. 2.

So, the graph will horizontal asymptote at \(y=\dfrac{\text{Coefficient of }x^2\text{ in numerator}}{\text{Coefficient of }x^2\text{ in denominator}}\)

i.e. \(y=\dfrac{3}{1}=3\)

Hence, f(x) will have horizontal asymptote at y=3.

The data values that are outliers are 4 and 56.

An outlier is a number that is way smaller or way larger than that of other numbers in a data set. An outlier distorts the mean and median of the dataset.

In this data, 4 is smaller than the average of the data set and 56 is larger than the average numbers. They are the outliers.

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Answer:

No, a Celsius temperature is not proportional to its equivalent Fahrenheit temperature.

Step-by-step explanation:

The formula is

F=(9/5) C+ 32

F increases as C increases and F decreases as C decreases, but the relation is not a direct proportionality.

In mathematics, a direct proportion has the form

y=mx

where m is a constant.

If the formula had been F=(9/5) C, it would have been a direct proportion.

However, the addition of the + 32 term makes the formula no longer a direct proportion

Answer:

12.06

Step-by-step explanation:

Answer:

The price of 2lb's of steak is 15.86

Step-by-step explanation:

Multiply

The modal class of time spent exercising from the table that shows the time spent exercising, is 40 < x ≤ 50.

The class that the median lies is 30 < x ≤ 40.

The modal class would be the one that has the highest frequency which is the class that has the most time spent exercising. That class is the 40 < x ≤ 50 class with 21 people.

The class in which the median lies is the middle class and we need to find the total first:

= 18 + 14 + 3 + 16 + 21 + 7

= 79 people

The median frequency is therefore:

= ( 79 + 1 ) / 2

= 40 th position

This is located in the 30 < x ≤ 40 class.

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Answer:

C

Step-by-step explanation:

Answer:

third answer is correct

Step-by-step explanation:

The steps for subtracting mixed numbers are the transformation of improper fractions, subtraction of denominator, then subtracting numerator, making it the smallest term, and reverse.

Finding the difference between two mixed numbers is required when subtracting mixed numbers. The steps for subtracting mixed numbers are as follows:

Step 1: Transform the mixed values into improper fractions in step 1. To achieve this, divide the total by the denominator, then add the numerator. The new numerator is the outcome, and it is positioned above the denominator.

Step 2: Identify a common denominator in step two. You must identify a common denominator to subtract fractions with various numerators.

Step 3: Subtract the fractions in step three. Subtract the numerators from the fractions while maintaining the same denominator.

Step 4: Make the outcome simpler. Simplify the outcome if you can by breaking the fraction down into its smallest terms. 13/4 in this instance may be expressed as 3 1/4.

Step 5: Reverse the incorrect fraction to a mixed number in step 5. Divide the numerator by the denominator to return the improper fraction to a mixed number. The full number serves as the numerator, and the remainder serves as the quotient.

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The question is -

How to Subtract mixed numbers?

Answer:

Step-by-step explanation:

3x + 4x + x = 16

7x + x = 16

8x = 16

x = 16 : 8

x = 2

----------------------

3 × 2 + 4 × 2 + 2 = 16  (remember PEMDAS)

6 + 8 + 2 = 16

16 = 16

same value the answer is good

Answer:

The difference in temperature is 16 degrees. To find the difference, you subtract the initial temperature from the final temperature: 5 - (-11) = 16.

Step-by-step explanation:

Answer:

The difference in temperature is 16 degrees. You can find the difference by subtracting the initial temperature from the final temperature: 5 degrees - (-11 degrees) = 5 + 11 = 16 degrees

The probability of winning the game where a fair coin is tossed until either the sequence HHH occurs (in which case you win) or the sequence THH occurs (in which case you win) is 7/8 or approximately 0.875.

Let's consider the two possible outcomes where you win the game. First, if the sequence HHH occurs, you win immediately. The probability of this happening is 1/8, as there are 8 possible outcomes for three consecutive coin flips (HHH, THH, HTH, HHT, TTH, HTT, THT, TTT) and only one of them satisfies the condition (HHH).

Secondly, if the sequence THH occurs, you win after four coin flips. To calculate the probability of this, we consider the first three flips as THH, and the fourth flip can be either T or H. The probability of getting T as the fourth flip is 1/2, and the probability of getting H is also 1/2. Therefore, the probability of winning with the sequence THH is (1/8) * (1/2) + (1/8) * (1/2) = 1/8.

Adding up the probabilities of winning with HHH (1/8) and THH (1/8), the total probability of winning the game is 1/8 + 1/8 = 2/8 = 1/4.

However, there is also the possibility of the game continuing indefinitely without either winning sequence occurring. In this case, the game is a tie. The probability of a tie is 1 - 1/4 = 3/4.

Since the question asks for the probability of winning, we exclude the probability of a tie. Therefore, the final probability of winning the game is 1/4 divided by 1/4 + 3/4, which equals 1/4 divided by 1, or simply 1/4. Simplifying further, we get 1/4 = 2/8 = 4/16 = 7/16. Therefore, the probability of winning the game is 7/16 or approximately 0.875.

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Answer:

No solution

Step-by-step explanation:

-2(x-3)+5= -6(x+1)+4x

First Distribute:

-2x+6+5= -6x-6+4x

Then transfer all variables to one side and the rest to other side:*when transfer u turn to opposite number for example: -6x will transfer to 6x

6+5+6= -6x+4x+2x

Last solve

17=0

no solution

The annual scholarship payment for a perpetual scholarship with a $100,000 endowment and a 7% discount rate would be $7,000.

To calculate the annual scholarship payment, we need to determine the amount that can be withdrawn from the endowment each year while still preserving its value over time. The discount rate of 7% represents the college's desired rate of return on investments.

Using the concept of present value, we can calculate the annual payment as a percentage of the initial endowment. The formula for present value is:

Present Value = Annual Payment / Discount Rate

In this case, we want to find the annual payment, so we rearrange the formula:

Annual Payment = Present Value * Discount Rate

Since the present value is the initial endowment of $100,000, and the discount rate is 7%, the calculation is as follows:

Annual Payment = $100,000 * 0.07 = $7,000

Therefore, to maintain the perpetual scholarship, the college would need to make an annual payment of $7,000. This amount is determined by the combination of the initial endowment and the discount rate, ensuring that the scholarship remains sustainable over time.

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Answer:

1. is 130 times taller

2. is 0.756 kilograms

Step-by-step explanation:

for 1, you divide 65 by 0.5 or multiply it by 1/2

for 2, you divide 756 by 1000

You did not make enough money to buy the television with a total earnings of $458

To write an expression for total earnings, we can use the given rates of pay and multiply them by the unit rates of the activites and then add them together.

So the expression for total earnings (E) is:

E = 10x + 8y + 20z

Where

Using the given parameters in the question, the total earnings (E) in the last 4 weeks is

E = ($10 x 9) + ($8 x 26) + ($20 x 8)

Evaluate

E = $90 + $208 + $160

E = $458

$458 is less than the cost of television ($540)

This means that you did not make enough money

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Complete Question

You earn $10 for each lawn you mow. You earn $8 per hour working part time at an ice cream shop. You earn $20 cach day you deliver newspapers.

In the last four weeks, you mowed 9 lawns, worked 26 hours at the ice cream shop, and delivered newspapers 8 days.

Did you make enough to buy the television? Explain...

The television price is $540

Therefore, the magician can now hold his breath for 63 seconds using the new technique.

If the magician can now hold his breath for 40% longer than his initial time of 45 seconds, we can calculate the increased duration as follows:

Increased duration = 45 seconds * 0.40

= 18 seconds

To find out how long the magician can now hold his breath, we add the increased duration to the initial time:

New duration = 45 seconds + 18 seconds

= 63 seconds

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Answer:

110

Step-by-step explanation:

The number of driving lessons you need to take with a professional instructor before your parents can teach you varies depending on the regulations in your area. In some regions, a specific number of driving lessons is required by law before you can apply for your driver's license. As a result, you should check with your local Department of Motor Vehicles (DMV) or other regulatory agency to learn more about the specific requirements in your area.

In general, however, it is usually beneficial to take as many driving lessons as possible with a professional instructor. Professional driving instructors have been educated in how to teach driving skills safely and effectively. They have also assisted many other people in learning how to drive, and as a result, they have a wealth of knowledge and expertise to draw on.

The more driving lessons you take with a professional instructor, the more chances you'll have to learn and improve your driving abilities. You may be able to practice with your parents after only a few lessons, but it's generally a good idea to take as many as possible with an instructor before doing so. This will give you the best chance of success while you learn to drive safely and confidently.

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a. The breakeven income level occurs when consumption (C) equals income (Y). So, we can set C equal to Y and solve for Y:

C = Y

20 + (2/3)Y = Y

To isolate Y, we can subtract (2/3)Y from both sides:

20 = (1/3)Y

Next, multiply both sides by 3 to solve for Y:

60 = Y

Therefore, the breakeven income level is $60,000.

b. To find the consumption expenditure at income levels of $40,000 and $80,000, we can substitute these values into the consumption function:

For Y = 40:

C = 20 + (2/3)(40)

C = 20 + 80/3

C = 20 + 26.67

C = 46.67

So, the consumption expenditure at an income level of $40,000 is approximately $46,670.

For Y = 80:

C = 20 + (2/3)(80)

C = 20 + 160/3

C = 20 + 53.33

C = 73.33

Therefore, the consumption expenditure at an income level of $80,000 is approximately $73,330.

c. Graphically, we can plot the consumption function C = 20 + (2/3)Y, where C is on the vertical axis and Y is on the horizontal axis. We can mark the breakeven income level of $60,000, as well as the consumption expenditures at $40,000 and $80,000.

The graph will show a linear relationship between C and Y, with a positive slope of 2/3. The consumption function intersects the 45-degree line (where C = Y) at the breakeven income level. For income levels below $60,000, consumption will be less than income, indicating saving (dissaving) depending on the value of C. For income levels above $60,000, consumption will exceed income, indicating saving.

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Answer:

See explanation

Step-by-step explanation:

The given options are not properly formatted; so, I will give a general explanation instead

An equation is said to be radical if its variable is in a radicand sign.

For instance, the following equation is a radical;

\(\sqrt x + 2 = 4\)

In the above equation, x is the variable, and it is in \(\sqrt\) sign

However, the following equation is not a radical equation

\(x + \sqrt 4 = 2\)

Because the variable is not in a radicand