Mason goes to a store an buys an item that costs xx dollars. He has a coupon for 30% off, and then a 7% tax is added to the discounted price. Write an expression in terms of x that represents the total amount that Mason paid at the register.

The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now  on sale.

Given that,

20% off a coat and a pair of boots are now  on sale. The coat normally sells for $225. The boots cost $130 on the open market.

We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,

The formula for the sales price is S = P - PD

Where, S is sales price, P is the original price and D is the discount percent.

P = 225 and D = 20%

S = 225 - 225 × 20%

S = 225 - 45

S = $180 is the sale price of coat.

Now,

Total regular price = 225 + 130 = 355

S = 355 - 355 × 20%

S = $284 is the sale price of boots.

Therefore, The sale price of coat is $180 and the sale price of boot is $284.

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Answer:

the paracium never dies because it keeps on reproducing

Step-by-step explanation:

the paracium lets say it starts as 1

and then taht 1 divides inti

1/2 and 1/2 and that 1/2 turns into 1

and it keeps on dividing and multiplying

Answer:

34

Step-by-step explanation:

The bottom line is at 180

The top line is at 146

180-146 =34

Answer:

Step-by-step explanation:

2.4 hours, aint no way this is college math

Answer:2.4 hours

Step-by-step explanation:

The zeros which are the roots of the polynomial expressions are:

x = -4; x = - 2;  x = 4 - 2√5;  x = 2(2 + √5)

The zeros of a polynomial f(x) are really the values of x that answer the equation f(x) = 0. Thus, f(x) is a function of x, and the polynomial zeros refer to the values of x, which makes the f(x) value equal to zero. The digit of zeros in a polynomial is decided by the degree of equation f(x) = 0.

For a polynomial, there may be specific values of the variable for which the polynomial is zero. These are known as polynomial zeros. They are also known as polynomial roots. In essence, we look for the zeros of quadratic equations to discover the solutions to the given equation.

From the given equation, the zeros of x^4-2x^3-44x^2-88x-32 can be computed as follows:

Using the rational root theorem:

\(\mathbf{= (x+2)\dfrac{x^4-2x^3-44x^2-88x-32}{x+2} }\)

\(\mathbf{=(x+2) (x^3-4x^2-36x-32) }\)

By factorization, we have:

= (x + 2) (x + 4) (x² - 8x - 4)

The zeros which are the roots of the polynomial expressions are:

x = -4; x = - 2;  x = 4 - 2√5;  x = 2(2 + √5)

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Answer:

AB = 10.5

Step-by-step explanation:

If 3 or more parallel lines are intersected by two or more transversals , the parallel lines divide the transversals proportionally , that is

\(\frac{AB}{7}\) = \(\frac{6}{4}\) = 1.5 ( multiply both sides by 7 )

AB = 7 × 1.5 = 10.5

Answer:

The answer is 6!!

Step-by-step explanation: Factors of 18: 1, 2, 3, 6, 9, 18

Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66

After listing all of the factors, simply find the number that is shown in both of their factors but find the greatest number.

For example 3 is a factor that is the same but isn't the highest factor that is shown in both, it is 6! Hope this helps and Happy Halloween!!! :D

Answer:

B. 3.114 > 3.112

D. 0.541 > 0.145

E. 0.141 < 0.19

Step-by-step explanation:

In order to determine which decimal is greater or less than another, compare the place values from left to right. First, compare the whole numbers to the left of the decimal point. If they are not the same, the smaller decimal number is the one with the smaller whole number. This applies to the rest of the places.

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

32.3 has a greater tenths value than 32.03, so 32.03 < 32.3. Option A is false.

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

3.114 has a greater thousandths value than 3.112, so 3.114 > 3.112. Option B is true.

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

4.003 has a greater whole number than 3.996, so 4.003 > 3.996. Option C is false.

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

0.541 has a greater tenths value than 0.145, so 0.541 > 0.145. Option D is true.

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

0.19 has a greater hundredths value than 0.141, so 0.141 < 0.19. Option E is true.

hope this helps!

The inequalities which are truly compared are B, D and E.

Given certain inequalities.

We have to find the true comparisons.

We have to look at the corresponding digits of numbers which are compared from left to right. Greater numbers on the left will be the greater number.

A. 32. 03 > 32. 3

This is false since 32.3 is greater. In 32.03, 0 is in the tenth place, while 3 is in the tenth place for 32.3.

B. 3. 114 > 3. 112

This is true since in the thousandths place, 4 is greater than 2.

C. 4. 003 < 3. 996

This is clearly false, since in the whole part, 4 is greater than 3.

D. 0. 541 > 0. 145

This is true, since in the tenths place, 5 is greater than 1.

E. 0. 141 < 0. 19

This is also true, since in the hundredths place, 9 is greater than 4.

Hence the true comparisons are B, D and E.

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Answer:

x = 47

Step-by-step explanation:

x + 121 = 4x - 20

-3x + 121 = - 20

-3x = -141

x = 47

So, the answer is x = 47

Answer:

The mid point of XY should be -0.5

Step-by-step explanation:

I don't know if that's what you want

I hope I helped ¯\_(ツ)_/¯

All thre functions share the same y intercept

We can analyze the characteristics of the given functions based on the information provided in the table.

We cannot determine which function has the greatest maximum based on the table alone, as we do not have the complete graph of any of the functions.

We can see from the table that h(x) has an x-intercept of 0, which is the smallest among the three functions. Therefore, we can say that h(x) has the smallest x-intercept.

We can see from the table that g(x) has a minimum value of -204, which is the smallest among the three functions. Therefore, we can say that g(x) has the smallest minimum value.

We cannot determine if all three functions share the same domain based on the table alone. We can only see that all three functions have been evaluated at the same set of input values.

We can see from the table that the y-intercept of f(x) is 2, the y-intercept of g(x) is 3, and the y-intercept of h(x) is 4. Therefore, we can say that all three functions have different y-intercepts.

Therefore, the statements that can be used to compare the characteristics of the functions are:

h(x) has the smallest x-intercept.

g(x) has the smallest minimum value.

All three functions have different y-intercepts.

Answer:

They are the same number, so there is a 0% increase.

After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.

To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.

Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.

Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.

Experimental probability of heads: 160/300 = 0.5333

Experimental probability of tails: 140/300 = 0.4667

Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.

In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.

To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.

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The question probable may be:

Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.

The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry, Xmin = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

By substituting the parameters, we have the following:

Axis of symmetry, Xmin = -b/2a

Axis of symmetry, Xmin = -(-6)/2(1)

Axis of symmetry, Xmin = 6/2

Axis of symmetry, Xmin = 3.

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Answer:

B. $8,631.96

Step-by-step explanation:

Create an equation where x is the number of years and y is the car's value

y = 48500(0.75)^x

Plug in 6 as x, since the question asks for the value in 6 years, and simplify:

y = 48500(0.75)^6

y = 8631.96

So, in 6 years, the car will be worth $8,631.96

The correct answer is B. $8,631.96

Answer:

B. $8,631.96

Step-by-step explanation:

Because it is the "Correct Answer"

Answer:

4

Step-by-step explanation:

How many 2/5s are in 1 1/2? To make it easier and simpler , I would change these fractions into decimals . Our answer is there are ALMOST 4 of 2/5ths in 1 and a half .

Answer: When a polynomial is divided by x-1, the quotient is of the form of ax^2 + bx + c and the remainder is of the form of r. The quotient and the remainder are related by the formula:

f(x) = (x-1)(ax^2 + bx + c) + r

Given that the quotient is 1x^2+x-8 and the remainder is -2, we can substitute these into the above equation:

f(x) = (x-1)(1x^2+x-8) + (-2)

f(x) = x^3 - 9x^2 + (1-8)x +(-2)

f(x) = x^3 - 9x^2 - 7x - 2

Therefore the function f(x) is x^3 - 9x^2 - 7x - 2 in standard form.

Step-by-step explanation:

Answer:

$91

Step-by-step explanation:

bill = $76

tip = 20%

20% of bill = (20/100) * 76

                 = $15.2

total bill = $76 + $15.2

             = $91.2

             = $91

Step-by-step explanation:

Let the two numbers be x and y

x+y =5 ---1

x-y =-3 ---2

Rearrange equation 1

x =5-y

Substitute x in the second equation

(5-y)-y =-3

5-y-y =-3

5-2y =-3

Collect like terms

5+3 = 2y

8 = 2y

Divide both sides by the coefficient of y (2)

8/2 = 2y/2

4 = y

y= 4

Substitute y in equation 1

x+4 =5

Subtract 4 from both sides

x+4-4 = 5-4

x+0 = 1

x= 1

The two numbers are 1 and 4

The minimum amount of wrapping paper that is needed to cover the package is 576 square inches.

In Mathematics and Geometry, the total surface area of a trapezoidal prism can be calculated and determined by using this mathematical equation or formula:

Total surface area of a trapezoidal prism, TSA = (a + b)h + (a + b + c + d)l

Where:

By substituting the given parameters into the total surface area of a trapezoidal prism, we have:

TSA = [(12 + 4) × 6/2] × 2 + [(12 × 15) + (10 × 15) + (4 × 15) + (9 × 15)]

TSA = 96 + 180 + 150 + 60 + 90

TSA = 576 square inches.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

x= 45

Step-by-step explanation:

45 x 2 =45

The mean of the sample means would approach the following value:

C. 51.

The Central Limit Theorem defines the distribution of the sampling distribution of sample means with size n of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\).

For the sampling distribution, the mean and the standard deviation are given as follows:

The mean of the sample means should be approximated to the population mean, hence it is given by 51.

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Answer:

Day 5 ................

Answer:

Step-by-step explanation:

The formula for Sn of a geometric series with first term a and common ratio r is:

Sn = a((1-r^n)/(1-r))

In this case, the first term a is $1,000, the common ratio r is 1.02 (since she's depositing 2% more each year), and n is 30 (since we're looking for the amount deposited after 30 years).

Plugging in these values, we get:

Sn = 1000((1-1.02^30)/(1-1.02))

Sn ≈ $87,453

Therefore, the answer is D. $87,453.

The solution set of the inequalities y ≤ x² – 3 and y > –x² + 2 is the darker region shown in the graph.

An equation is an expression that shows the relationship between two or more variables and numbers.

Inequality is an expression that shows the non equal comparison of two or more numbers and variables

The solution set of the inequalities y ≤ x² – 3 and y > –x² + 2 is the darker region shown in the graph.

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The graphs of f(x) and g(x) are transformed function from the function y = x^2 and the solution of the set of inequalities is (±1.581, -0.5)

The complete question is in the attached image (the first graph)

From the graph, we have:

f(x) = x^2 - 3 and g(x) = -x^2 + 2

To derive y ≤  x^2 - 3, we simply change the equality sign in the function f(x) to less than or equal to.

To derive y > -x^2 + 2, we simply change the equality sign in the function g(x) to greater than

The inequalities of the graphs become

y ≤ x^2 - 3 and y > -x^2 + 2

From the graph of the above inequalities (see attachment 2), we can see that the curves of the inequalities intersect at (±1.581, -0.5)

Hence, the solution of the set of inequalities is (±1.581, -0.5)

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The Number of Soccer Balls is 16 and the Number of T-Shirts is 68

What is Linear Equation in Two Variables?

A linear equation in two variables is one that is stated in the form         ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let,

Number of Soccer Balls = x

Number of T-Shirts = y

Equation 1:

x + y = 84 -----------(i)

Equation 2:

25x + 9.5y = 1046 ----------(ii)

Multiplying Equation 1 by 25

25x + 25y = 2100 ---------(iii)

Substracting Equation2 from Equation 1

15.5y = 1054

y = 68

So, x = 16

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FIFO - March cost of goods sold = $13,050. March 31 inventory = $7,350. LIFO - March cost of goods sold = $14,600. March 31 inventory = $5,800.

To calculate March cost of goods sold we need to add the given data for FIFO =

March cost of goods sold

= (2,800 + 3,700 + 6,550)

= 13,050

To calculate March cost of goods sold we need to add the given data for LIFO =

March cost of goods sold

= (3,400 + 4,400 + 6,800)

= 5,800

Sales data refers to the information collected and recorded about the transactions that occur when a business sells products or services to customers. This data typically includes details such as the date and time of the sale, the products or services sold, the quantity sold, the price paid, and the customer's information. Sales data is crucial for businesses as it helps them understand their sales performance, identify trends and patterns and make informed decisions about their pricing, marketing and inventory management strategies.

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