Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression that can be used to determine the final cost of the DVD.

Answers

Answer 1

Answer:

is it y=12x+3

Step-by-step explanation:

x=DVD. DVD =12

Answer 2

The expression that represents the final price of the DVD is 0.9064y

How to determine the final cost?

The given parameters are:

Discount = 12%Sales tax = 3%Original price = y

The final cost is calculated using:

Final = Original price * (1 - discount) * (1 + sales tax)

So, we have:

Final = y * (1 - 12%) * (1 + 3%)

Evaluate the expression

Final = 0.9064y

Hence, the expression that represents the final price of the DVD is 0.9064y

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Related Questions

Select the correct answer. Which equation represents a line that is parallel to the x-axis, is perpendicular to the y-axis, and has a slope of 0? A. y=4/5x + 4/5 B. y=5/4x
C. y=4/5 D. x=5/4

Answers

Answer: D

Step-by-step explanation: i did this

Answer:

C. y = 4/5

Step-by-step explanation:

The line parallel to the x-axis has same coordinate for any value of x. The slope is zero.

This line has the form:

y = b, where b is the y-intercept.

The only option with similar form is C

What is an equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25x+5y=25?

Answers

Answer:

[tex]y = - \frac{1}{5} x - 7[/tex]

Step-by-step explanation:

let's rewrite the equation

[tex]x + 5y = 25 \\ 5y = - x + 25 \\ y = - \frac{1}{5} x + 5[/tex]

Now let's use the given point and substitute it to find the y-intercept

[tex] - 6 = - \frac{1}{5} ( - 5) + b \\ - 6 = 1 + b \\ b = - 7[/tex]

The required solution of the given equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25 is

[tex]y=\frac{-1x}{5} -7[/tex].

What is slope?

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given:

The point is  (-5,-6) and is parallel to the line x+5y=25.

According to given question we have

By use of slope we get

x+5y=25

5y=25-x

Divide both sides 5 we get,

y=-1/5x+5

Where m= -1/5

Now you can find the equation of the parallel line using

[tex](y-y_{0} )=m(x-x_{0})[/tex]

Put the given point as (-5,-6) we have,

[tex](y+6)=\frac{-1}{5} (x+5)\\\\y=\frac{-1x}{5} -1-6\\\\y=\frac{-1x}{5} -7[/tex]

Therefore, the required solution of the given equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25 is

[tex]y=\frac{-1x}{5} -7[/tex].

Learn more details about slope here:

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helppppppppp??? Pls !!!

Answers

Answer:

a. 19

Step-by-step explanation:

5/6x-1/5x=19

5/6(30)-1/5(30)=19

25-6=19

19=19

?/30(30)=19

19/30(30)=19

19=19

I'm not sure if this is exactly what you're looking for, but 19=19 if you plug in 19 for the box (and x=30 because of the first section, I'm guessing)

Help me with this math, please!! <3

Answers

Your equation = 25/2 or 12.5. I guess you can bring it to it’s simplest form on your own if the simplest isn’t 12.5

Cookie recipe 3 1/2 cups sugar for every 2 1/6 cups flour. What’s the unit rate of cups of sugar to cups of flour?

How many cups of sugar would you need if you used 6 cups of flour?

Answers

9 1/2 I think. If I’m correct lmk

please show work if needed if not then just answer:)

Answers

Answer:

Not here.

Step-by-step explanation:

F. The converse of the conditional.

The converse would state the following:

"If it is January, then it is winter in the United States" (Original).

"If it is winter in the United States, then it is January" (Converse).

It is not true, as it can be December, January, or February during the winter season.

G. The inverse of the conditional.

The inverse would state the following:

"If it is January, then it is winter in the United States" (Original).

"If it is not January, then it is not winter in the United States" (Inverse).

Again, as the above states, the winter season encompasses more than just the month of January.

H. The contrapositive of the conditional.

The contrapositive would state the following:

"If it is January, then it is winter in the United States" (Original).

"If it is not January, then it is not winter in the United States" (Contrapositive).

Again, there is more than just January in the winter season.

~

22k + 22k? Brainliest If Correct

Answers

44k is the correct answer

List all the positive even numbers less than 10:

Answers

Answer is

2, 4, 6, 8

Pleaaaaaaseeee
10 points
In the playing card deck below what is the chance of pulling 4 face cards without replacing the cards in between pulls? Answer in decimal form rounded to the 6th digit after the
decimal

Answers

Answer:

0.13000

there is 52 cards in a deck so you take 52 and divide it by 4 since there is only 4 face cards you then get 13 and turn it into 0.13 then round to the 6th digit or millionth after the decimal so you would get 0.130000

How can the vertex of a parabola be used in solving
real-world problems?

Answers

Answer:

The vertex is the maximum or minimum point of the quadratic function. It can be used to solve real world problems optimization problems that can be modeled with quadratic functions

Step-by-step explanation:

hope this helps^^

brainliest maybe??<3

What single decimal multiplier would you use to decrease by 2% followed by a 7% decrease?

Answers

9514 1404 393

Answer:

  0.9114

Step-by-step explanation:

That multiplier would be ...

  (1 -2%)×(1 -7%)

  = (1 -0.02)(1 -0.07)

  = 0.98×0.93 = 0.9114

A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 5 milliliters of compound B. If a chemist wants to make 408 milliliters of the drug, how many milliliters of compound A are needed?

Answers

Answer:

153

Step-by-step explanation:

The formula is 3 mL of A to 5 mL of B.

Let's say the chemist uses just the numbers in the formula.

Add 3 mL of A to 5 mL of B.

3 mL + 5 mL = 8 mL

The chemist ends up with 8 mL of the drug.

He really want 408 mL.

408 mL is how many times greater than 8 mL?

408/8 = 51

He needs to use 51 times the numbers in the formula.

51 * 3 mL of A + 51 * 5 mL of B =

= 153 mL of A + 255 mL of B

= 408 mL of the drug

Answer: 153

Mae read a 403-page book in 13 hours. at this rate , how long will it take her to read a 248-page book?​

Answers

Answer:

8 hours

Step-by-step explanation:

Number of pages read in 1hour = 403 / 13 = 31 pages

Time taken to read 248 page book = 31 x 8 = 248

It takes 8 hours to read 248 pages book

If ABC is congruent to DEC…..what is x

Answers

Answer:

x = 32.5

Step-by-step explanation:

If ABC is congruent and equal to DEC then angle CDE = angle CBA since AB || DE

thus ABC = 2x = 65 where x = 65/2 = 32.5

Simplify the linear expression. ​

Answers

Answer:

5a/3+1/8-a/6-1/2

Step-by-step explanation:

Base BC of an equilateral triangle ABC is root2 x+y+2=0. If vertex A is the origin, then the area of triangle ABC is (in sq. units) A) 3 root3 B) 2/3 root3 C) 4/3 root3 D) 6 root3 ​

Answers

Answer: Choice C

4/(3*sqrt(3))

which is the same as writing [tex]\frac{4}{3\sqrt{3}}[/tex]

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

Explanation:

We have the line [tex]\left(\sqrt{2}\right)x+y +2 = 0[/tex] in which points B and C are on this line. In other words, all of segment BC is on that line.

Point A is somewhere off that line as the diagram below indicates. We need to find the line through A that is perpendicular to the given line.

Recall that for any line of the standard form [tex]Px+Qy+R = 0\\\\[/tex], any perpendicular line will look like this: [tex]Qx-Py+S = 0\\\\[/tex]. Note the swap and sign change for the P,Q coefficients.

So anything perpendicular to [tex]\left(\sqrt{2}\right)x+y +2 = 0[/tex] will be of the form [tex]x-\left(\sqrt{2}\right)y+S = 0[/tex]. The sub-goal here is to find what S is equal to.

If you plugged in the origin point (x,y) = (0,0), then you should find that S = 0.

Therefore, the equation [tex]x-\left(\sqrt{2}\right)y = 0[/tex] is perpendicular to the given line and it passes through point A(0,0).

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

The reason why we computed that perpendicular line is to help determine the point D as shown in the diagram below. This point is at the intersection of the green perpendicular lines. This is at the base of the triangle such that BC is the base.

To find the location of point D, you need to solve this system of equations

[tex]\begin{cases}\left(\sqrt{2}\right)x+y +2 = 0\\\\x-\left(\sqrt{2}\right)y = 0\end{cases}[/tex]

Let's isolate x in the second equation

[tex]x-\left(\sqrt{2}\right)y = 0\\\\x=\left(\sqrt{2}\right)y\\\\[/tex]

Then substitute that into the other equation. Solve for y.

[tex]\left(\sqrt{2}\right)x+y +2 = 0\\\\\left(\sqrt{2}\right)*\left(\sqrt{2}\right)y+y +2 = 0\\\\2y+y +2 = 0\\\\3y +2 = 0\\\\3y = -2\\\\y = -2/3\\\\[/tex]

Now we can find x like so

[tex]x=\left(\sqrt{2}\right)y\\\\x=\left(\sqrt{2}\right)*(-2/3)\\\\x=\frac{-2\sqrt{2}}{3}\\\\[/tex]

The point D is located at the exact coordinates of

[tex]D=(x,y) = \left(\frac{-2\sqrt{2}}{3},\frac{-2}{3}\right)\\\\[/tex]

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

Next, we use the distance formula to compute the distance between point A and point D.

I'll use lowercase d to represent distance.

[tex]A = (x_1,y_1) = (0,0)\\\\D = (x_2,y_2) = \left(\frac{-2\sqrt{2}}{3},\frac{-2}{3}\right)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{\left(0-\left(\frac{-2\sqrt{2}}{3}\right)\right)^2 + \left(0-\left(\frac{-2}{3}\right)\right)^2}\\\\d = \sqrt{\left(\frac{2\sqrt{2}}{3}\right)^2 + \left(\frac{2}{3}\right)^2}\\\\d = \sqrt{\frac{8}{9} + \frac{4}{9}}\\\\d = \sqrt{\frac{12}{9}}\\\\d = \sqrt{\frac{4}{3}}\\\\d = \frac{\sqrt{4}}{\sqrt{3}}\\\\d = \frac{2}{\sqrt{3}}\\\\[/tex]

This represents the exact length of segment AD.

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

Since triangle ABC is equilateral, this means triangles ADB and ADC are identical mirrored copies of each other. Those two smaller triangles are equal in area and combine to form triangle ABC back again. Furthermore, they are right triangles. This last fact mentioned will allow us to use the pythagorean theorem like so

[tex]a^2+b^2 = c^2\\\\\left(\text{AD}\right)^2+\left(\text{DC}\right)^2=\left(\text{AC}\right)^2\\\\\left(\frac{2}{\sqrt{3}}\right)^2+\left(\frac{x}{2}\right)^2=\left(x\right)^2\\\\[/tex]

where x represents the lengths of AB, BC and AC.

After skipping a bit of steps, solving that said equation should lead to these two solutions

[tex]x = -\frac{4}{3}, \ x = \frac{4}{3}[/tex]

Because x is a side length, we ignore the negative solution.

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

We can now compute the area of triangle ABC

[tex]\text{area of triangle} = \frac{1}{2}*\text{base}*\text{height}\\\\\text{area of triangle ABC} = \frac{1}{2}*\text{BC}*\text{AD}\\\\\text{area of triangle ABC} = \frac{1}{2}*\frac{4}{3}*\frac{2}{\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{1*4*2}{2*3*\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{8}{6\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{4}{3\sqrt{3}}\\\\[/tex]

which points us to choice C as the final answer.

When writing this on a keyboard, we would write "4/(3*sqrt(3))" without quotes. The use of parenthesis is needed to ensure we divide by all of 3*sqrt(3). Otherwise, the computer might mistake it for [tex]\frac{4}{3}\sqrt{3}[/tex] which is entirely different.


The ratio of the number of students at a spring concert to the number of adults is 7:3. There are a total of 450 people at the concert. many students are at the concert? How many adults are at the concert?

Answers

Answer:

students=315 adults=135

Step-by-step explanation:

3s=7a

s+a=450

s=450-a

3(450-a)=7a

1350-3a=7a

1350=7a+3a

1350=10a

a is 135

a is adult

s=450-a

s=450-135

s=315

branlist please

PLS STOP DELITING FOR NO REASON I NEED HELP.

Answers

Answer:

They both go to equivalent

Step-by-step explanation:

I need help on this I've been struggling to solve

Answers

Answer:

ok

Step-by-step explanation:

Find the missing factor A that makes the equality true
8x 3 =(−2x)(A)

Answers

refer to the attachment!!

Joshua delivered 30 hives to the local fruit farm. If the farmer has paid to use 5% of the total number of Joshua’s hives, how many hives does Joshua have in all?

Answers

Answer:

600 hives

Step-by-step explanation:

If 30 is 5% of the total number of hives Joshua has, then 5%x20=100%

So, 30x20=100%

      30x20=600

hope it helped :)

If y = 14 when x=8, determine the value
of y when x = 12.

Answers

Answer:

y = 18

Step-by-step explanation:

Without a picture or more information, this question is actually unsolveable. The answer could be multiple things, because there are multiple way to get from 8 to 14. But I will just assume that the equation for solving is:

x + 6 = y

So plug in 12 for x and you get y = 18.

x2−5x+8 if x=3 help me

Answers

Answer: -1


Step-By-Step:

If x=3 your equation would be;

3•2-5•3+8 mind you, • is a multiplication sign. Any time you have an X, Y, any variable really you multiply.

So, 3•2 is 6, 5•3 is 15,

6-15+8=-1

Examine the Federal Tax Table for married couples filing joint returns.

Married Couples Filing Jointly
If Taxable Income Is between: Then the Tax Due Is:
$0 – $19,400 10% of taxable income
$19,401 – $78,950 $1940+12% of the amount over $19,400
$78,951 – $168,400 $9086+22% of the amount over $78,950
$168,401 – $321,450 $28,765+24% of the amount over $168,400
$321,451 – $408,200 $65,497+32% of the amount over $321,450
$408,201 – $612,350 $93,257+35% of the amount over $408,200
$612,351+ $164,709.50+37% of the amount over $612,350



Sally and her husband, Ahmed, together earned a total of $203,300 in taxable income last year. Using the tax table, what do they owe in federal income taxes? Enter your answer rounded to the nearest dollar, such as: $42,536

Answers

Answer:

  $37,141

Step-by-step explanation:

The applicable line of the tax table is ...

  $28,765+24% of the amount over $168,400

If A represents the amount of taxable income, this simplifies to ...

  $28,765 +0.24(A - 168,400) = $28,765 +0.24A -40416 = 0.24A -$11,651

For their income of 203,300, Sally and Ahmed owe ...

  0.24×203300 -11651 = 48792 -11651 = 37141

They owe $37,141.

tonight's attendance was 100 more than double the attendance last night. If 500 attended tonight, how many attended last night?

Answers

Answer: 200

Step-by-step explanation: 200 doubled would be 400 and it says that tonights attendence was 100 more than the doubled which would add up and equal 500 (400+100=500) so 200 is your answer.

3 boys share £99. John gets twice as much as Robert and three times as much as Edward. How much does Edward get?

Answers

Answer:

£18

Step-by-step explanation:

Ratio is 6:3:2

(john:robert:edward)

added together is 11, divide 99 by 11 to get 9, multiply the ratio numbers by 9

54:27:18

Check answers:

27 times 2 = 54     yes

18 times 3 = 54      yes

54 + 27 + 18 = 99   yes

Since it goes John : Robert : Edward (edward is last) and 54:27:18 (18 is last)

Edward got £18

The three paths intersect in pairs at the points A, B, and C.

Answers

Answer:

Not a complete question... Sorry

Which of the following represents, "The difference between a number and elght Is twenty-two"?
A. N-8=22
B. 8 - N= 22
C. 8 - 22 N

Answers

Answer:

A.

Step-by-step explanation:

The difference means subtraction. The number mean a variable which is N. Then it is 8 (is means equal sign). Then 22 is the answer. The answer is         N-8=22.

Have a great day!

Paris Saint-Germain, a French professional soccer team, led the 2015 ESPN/Sporting Intelligence Global Salary Survey with the largest payroll for all professional sports teams. A soccer fan looks up the salaries for all of the players on the 2015 Paris Saint- Germain team. Because the fan took a statistics course, the fan uses all of these salaries to get a 95% confidence interval for the mean salary for all 2015 Paris Saint-Germain players. This makes no sense. Why not

Answers

The confidence interval for the mean gives an estimated range in which the true population mean of the data resides. Since, the fan uses all the population data, then he could find the population mean directly.

The population mean gives the value of the mean using all the data in the population, it is often referred to as the true mean.

In cases where the entire population data is not available or incomplete, the true mean can be estimated using the sample mean within a given range called the confidence interval of the mean.

Therefore, since the fan is already using all the population data, then he could just calculate the population mean directly.

Learn more :https://brainly.com/question/2396419

After training for and running a marathon, an athlete wants to reduce her daily run
by half each day. The marathon is about 26 mi. How many days will it take after the
marathon before she runs less than a mile a day? Show your work.

Answers

Answer:

6 days

Step-by-step explanation:

This question becomes much easier when written out per day (shown below). The question tells us that she is reducing her run by half every day, so all we need to is divide the previous day by 2 to get the current day. She starts out with 26 miles so this is our day 1 value.

Day 1 = 26 miles

Day 2 = 13 miles (26÷2=13)

Day 3 = 6.5 miles (13÷2=6.5)

Day 4 = 3.25 miles (6.5÷2=3.25)

Day 5 = 1.625 miles (3.25÷2=1.625)

Day 6 = 0.8125 miles (1.625÷2=0.8125)

We can see that by day 6, her total running amount is less that 1 mile, so the final answer is 6 days.

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