Rita bought 4 CDs that were each the same price. Including sales tax, she paid a total of $ 61.60. Of that total,$ 2.80 was tax. What was the price of each CD before tax

Answers

Answer 1

Answer:

The price of each CD is:

$14.70

Step-by-step explanation:

(61.6 - 2.8) /4

=  58.8/4

= $14.7

Answer 2

Answer:

$14.70

Step-by-step explanation:

We want to find the price of each CD before tax. Therefore, we must first subtract the tax from the total.

total -tax

The total cost was $61.60 and the tax was $2.80

$61.60 - $2.80

$58.80

The price for the 4 CDs (without tax) was $58.50.

We know that each CD costs the same price and Rita bought four CDs. Therefore, we can divide the cost without tax by 4.

cost without tax / 4

The cost without tax is $58.80

$58.80 /4

$14.70

Each CD before tax costs $14.70


Related Questions

What is 51⁄6 as an improper fraction? For Seneca Learning:

Answers

Answer:

Step-by-step explanation:

[tex]5\frac{1}{6}=\frac{(5*6)+1}{6}=\frac{31}{6}[/tex]

Answer:

31/6 (improper fraction).

Step-by-step explanation:

5 1/6 = (6 × 5) + 1/6 = 31/6

31/6 is the improper fraction.

-(-9d + 2.7f + 3.5)
Distributing the “-“ sign

Answers

Answer:

9d + -2.7f + -3.5

Step-by-step explanation:

The distributive property simply is a form of multiplication that allows the sum of two or more numbers with common multiples to be rewritten.

In the case of this expression, our common multiple is the negative sign which implies an understood -1.

So you can write the expression as such:

(-1) (-9d + 2.7f + 3.5)

So to distribute the -1 to each term, we will simply write the expression:

(-1)(-9d) + (-1)(2.7f) + (-1)(3.5)

Which will give us the distributed expression:

9d + -2.7f + -3.5

Cheers.

what is x? x=? y= -2 y+2=-3(x-4)

Answers

[tex]-2+2=-3(x-4)\\0=-3x+12\\3x=12\\x=4[/tex]

kinda confused buttttt anyone know this?

Answers

Answer:

Hey there!

The overlapping part is the product.

Thus, the product is 1/8.

Hope this helps :)

Determine if the triangles are congruent.

Answers

Answer:

Answer to number 3:

Yes, because these two are similar triangles for sure so all their respective angles are equal in measure, and two pairs of sides are congruent to each other, so the third one must be congruent too.

What number must be added to the expression for it to equal zero? (–6.89 + 14.52) + (–14.52)

Answers

Answer:

The number to be added is 6.89

Step-by-step explanation:

Here, we want to know what number must be added to the expression to make it equal to zero.

Let the number be x

Thus;

-6.89 + 14.52 -14.52 + x = 0

-6.89 + x = 0

x = 6.89

If the geometric mean of a and 15 is 9√15, find the value of a.

Answers

Answer: a = 81

Explanation:

Geometric mean: sqrt a • b

sqrt a • 15 = 9 sqrt 15
Sqrt 15a = 9 sqrt 15
(Sqrt 15a)^2 = (9 sqrt 15)^2
15a = 81 x 15
a = 81

pls solve this as soon as possible

Answers

Answer:

x³ - y³ = 0

Step-by-step explanation:

Given : [tex]\frac{x}{y}+\frac{y}{x}=-1[/tex]

To Find : value of (x³ - y³)

Since, [tex]\frac{x}{y}+\frac{y}{x}=-1[/tex]

[tex]\frac{x^2+y^2}{xy}=-1[/tex]

x² + y² = -xy

x² + y² + xy = 0 -----(1)

Since, x³ - y³ = (x - y)(x² + xy + y²) [From the formula, (a³ - b³) = (a -b)(a²+ b² + ab)

                     = (x - y)(0) {From equation (1)]

                     = 0

Therefore, value of x³ - y³ = 0 will be the answer.

Melissa put her $500 In a savings account that earns 4% interest compounded annually. How much will be in the account after 3 years? Round your answer to the nearest hundredth

Answers

Answer: $562.43

Work Shown:

A = P*(1+r/n)^(nt)

A = 500*(1+0.04/1)^(1*3)

A = 562.432

A = 562.43

Answer: $562.43

Step-by-step explanation:

The initial start up amount is 500  and we want to expressed this as an exponential function. So since we know the initial value we need to find the rate of change. So if you earn 4% interest you are earning 4% percent more on top the actual 100%.

So 100%  + 4 % = 104% = 1.04  

The common difference is 1.04.

so  500 * 1.04^n= A where n is the number of years and A is the total amount.

A = 500 * [tex]1.04^{3}[/tex]  

A= 562.43

Determine the quadrant(s) in which (x, y) could be located. (Select all that apply.) x > 0 and y < 0 Quadrant I Quadrant II Quadrant III Quadrant IV none of these

Answers

Answer:

Quadrant IV

Step-by-step explanation:

If x is greater than 0, then it will remain on the right side, on quadrants I and IV. If y is less than 0, then it will be on the bottom, so we are left with quadrant IV:

x is greater than 0, so all possible values are positive

y is less than 0, so all possible values are negative

(x,-y)

The quadrant is the region contained by the junction of the X-axis and the Y-axis. A cartesian surface contains four quadrants formed whenever the X-axis and Y-axis connect with one another.Numbers that have a positive or negative sign were referred to as the 'directed numbers' We could find those numbers mostly on the number line without any difficulty at all.In the question, it is given that x is greater than 0 which applies that x has a positive value, and y is less than 0 which applies that y has a negative value. Example: (x,-y)

Following are the description of the wrong choice:

In the first Quadrant, (x,y) both -axis values are positive that's why it is wrong.In the second Quadrant, the x-axis has a negative value and the y-axis has a positive value that's why it's wrong.In the third Quadrant, (x,y) both -axis has the negative value that's why it is wrong.

That's why the "Quadrant IV" is the correct answer.

Learn more:

quadrant: brainly.com/question/7196054

Which equation represents the line that passes through points (1, –5) and (3, –17)? y = negative 6 x + 1 y = 6 x + 1 y = negative 6 x minus 1 y = 6 x minus 1

Answers

Answer:

[see below]

Step-by-step explanation:

Finding the slope of the two points:

[tex]m=\frac{-17+5}{3-1}=\frac{-12}{2}=\boxed{-6}[/tex]

The slope is -6.

Using an incomplete slope-intercept form equation to find the y-intercept:

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

The equation for the line passing the points is [tex]y=-6x+1[/tex].

The equation in standard from would be [tex]6x+y=1[/tex].

Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be
written using function notation?
O FID = - Šv
O f(x) = - 3x + 4
Of(x) = -x +
O fly) = -34+4​

Answers

Answer:

f(x) = - 3x + 4

Step-by-step explanation:

Note that y = f(x)

Rearrange making y the subject

9x + 3y = 12 ( subtract 9x from both sides )

3y = - 9x + 12 ( divide all terms by 3 )

y = - 3x + 4 , that is

f(x) = - 3x + 4

how many quarts make 5 gallons

Answers

Answer:

4 quarts

Hope it helps!

Step-by-step explanation:

Answer: 5 gallons= 20 quarts

              1 gallon = 4 quarts

Use the diagram below to answer the questions. Line q contains points J, K, and M. Point P is above line q between points K and M. A line connects points M and P. Another line connects points P and K. Point L is above point J. A line starts at point K and extends through point L. Which are shown on the diagram? Check all that apply. Line segment J L Ray K M Line J K Ray P K AngleLJK Ray M J

Answers

Answer:

2nd 3rd last one

Step-by-step explanation:

Angles, lines, rays, and segments can be found in a plane. The terms shown on the diagram are: Ray KM, Line JK, and Ray MJ

What are lines, rays, and segments?

A line is an unending, straight path that has no endpoints and travels in both directions along a plane. A line segment is a finitely long portion of a line with two endpoints. A line segment that goes on forever in one direction is known as a ray.

To identify the terms shown on the diagram, we need to note the following: A ray has no endpoint; it is represented with an arrow on one side line segment has two endpoints.

It is represented with dots on both sides. An angle is a space between intersecting lines, line segments, or rays. There is no connection between J and L. So, JL is not a line segment

Ray KM

KM has a dot at point K and an arrow that points in the direction of M. So, KM is a ray.

Line JK

JK has dots on both ends (at J and K). So, JK is a line.

Ray PK

PK has dots on both sides (at P and K). So, PK is a line; not a ray.

Angle LJK

There is no connection between points L, J, and K. Hence, LJK is not an angle.

Ray MJ

MJ has a dot at point M and an arrow that points in the direction of J. So, MJ is a ray.

The diagram is attached with the answer below.

Read more about lines, points, and rays at:

brainly.com/question/13486760

#SPJ5

what are co prime numbers​

Answers

Answer:

A set of numbers or integers which have only 1 as their common factor are called co prime numbers.

Answer:  In number theory, two integers a and b are said to be relativley prime or co prime, if the only positive integer (factor) that divides both of them is 1.Consequently, any prime numbers that divides one does not divide the other.

Step-by-step explanation:

three people alice , ben , calvin, are conversing at a taxi stand since taxis are the only ride service in this town. although they havent met before ,they realize that all are going the same route to get desire destination. alice destination is 20 miles away , ben destination 30 miles away and calvins destination 40 miles away , the taxi costs 2 dollars per mile with tip included regardless of the number of passengers. how much should each person pay if the three share a cab to their respective destination

Answers

Answer:

Alice will have to pay $13.33

Ben will have to pay $23.33

Kelvin will have to pay $43.33

Step-by-step explanation:

Given that

Alice destination is 20 miles away

Ben destination is 30 miles away

Calvin destination is 40 miles away.

For a mile, taxi costs 2 dollars.

To find:

How much each person has to pay if they share the same taxi to their respective destinations?

Solution:

For the first 20 miles, the taxi will be shared by all 3 of them.

Charges for 20 miles = 20 [tex]\times[/tex] 2 = $40

This $40 will be shared among all 3.

Each will pay = [tex]\frac{40}{3} = \$13.33[/tex]

Charges for Alice = $13.33

Charges for Ben = $13.33

Charges for Calvin = $13.33

For the next 10 miles, the taxi will be shared by Ben and Calvin.

Charges for 10 miles = 10 [tex]\times[/tex] 2 = $20

This $20 will be shared between Ben and Calvin.

Each will pay = [tex]\frac{20}{2} = \$10[/tex]

Charges for Alice = $13.33

Charges for Ben = $13.33 + 10 = $23.33

Charges for Calvin = $13.33 + 10 = $23.33

For the next 10 miles, Calvin travels alone.

Charges for 10 miles = 10 [tex]\times[/tex] 2 = $20

This $20 will be paid by Calvin alone.

Charges for Alice = $13.33

Charges for Ben = $23.33

Charges for Calvin = $23.33 + 20 = $43.33

factorise 9a^2-b^2??

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

3² * a² - b²

▹ Step-by-Step Explanation

9a² - b²

Break down each coefficient and variable:

9 = 3²

a² = a²

b² = b²

Combine everything together:

3² * a² - b²

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

Since both terms are perfect squares, factor using the difference of squares formula,  a^2-b^2=[a+b][a-b] where a=3a and b=b

- 3 1/2 ( - 12 1/4 )

Answers

The answer is 343/8 or 42 7/8
343/8, or 42 and 7/8

Drag each label to the correct location on the figure. Not all labels will be used.
Find the missing angle measurements.
51°
54
47
75°
98°
82
?
105
28

Answers

When referring to angles, I will use top, middle and bottom.

The middle angle is 180 - 28 - 105 = 37°

The top angle is 180 - 37 - 82 = 61°

The bottom angle is 180 - 28 - (180 - 82) = 54°

Answer:

The measure of angle B is 54°. The measure of angle A is 51°. The measure of angle AFE is 47°.

the 8th term of an arithmetic progression is 5 times the 3rd term while the 7th is greater than the 4th term . write the first five term of the arithmetic progression​.

Answers

Answer:

the terms of any of the 2 terms should have been given

HELP PLEASE ASAP I REALLY DONT KNOW HOW TO DO THIS
What is the slope of a line perpendicular to the line containing the points $(-1,2)$ and $(1,-2)$? Express your answer as a common fraction. Enter your answer

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope of the line m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (1, - 2)

m = [tex]\frac{-2-2}{1+1}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

Solve for x. 5x-4 > 12 OR 12x+5 <-4

Answers

Answer:

x > 16/5 or x < -3/4

Step-by-step explanation:

Equation 1: 5x - 4 > 12

Equation 2: 12x + 5 < -4

Equation 1: 5x - 4 > 12

add 4 to both sides

5x > 16

divide by 5 on both sides

x > 16/5

Equation 2: 12x + 5 < -4

subtract 5 on both sides

12x < -9

divide by 12 on both sides

x < -9/12

simplify

x < -3/4

Solve using quadratic formula.

1.)5x^2+13x=6

2.)3x^2+1=-5x

PLEASE HELP!!! WILL MARK BRAINLIEST!!!

Answers

Answer:

1. 2/5,-3 2. [tex]x=\frac{-5+-\sqrt{13} }{6}[/tex]

Step-by-step explanation:

i used the quadratic formula to find x also please note that 2 has 2 answers bc of the +- beofre the sqrt of 13  

Step-by-step explanation:

1).

5x² + 13x - 6 = 0

Using the quadratic formula

[tex]x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

a = 5 , b = 13 c = - 6

We have

[tex]x = \frac{ - 13± \sqrt{ {13}^{2} - 4(5)( - 6) } }{2(5)} [/tex]

[tex]x = \frac{ - 13± \sqrt{169 + 120} }{10} [/tex]

[tex]x = \frac{ - 13± \sqrt{289} }{10} [/tex]

[tex]x = \frac{ - 13±17}{10} [/tex]

[tex]x = \frac{ - 13 + 17}{10} \: \: \: \: \: or \: \: \: \: x = \frac{ - 13 - 17}{10} [/tex]

x = 2/5 or x = - 3

2).

3x² + 5x + 1 = 0

a = 3 , b = 5 , c = 1

[tex]x = \frac{ -5 ± \sqrt{ {5}^{2} - 4(3)(1)} }{2(3)} [/tex]

[tex]x = \frac{ - 5± \sqrt{25 - 12} }{6} [/tex]

[tex]x = \frac{ - 5± \sqrt{13} }{6} [/tex]

[tex]x = \frac{ - 5 + \sqrt{13} }{6} \: \: \: \: or \: \: \: x = \frac{ - 5 - \sqrt{13} }{6} [/tex]

Hope this helps you

Please answer this question now

Answers

Answer:

54

Step-by-step explanation:

To solve problems like this, always recall the "Two-Tangent theorem", which states that two tangents of a circle are congruent if they meet at an external point outside the circle.

The perimeter of the given triangle = IK + KM + MI

IK = IJ + JK = 13

KM = KL + LM = ?

MI = MN + NI ?

Let's find the length of each tangents.

NI = IJ = 5 (tangents from external point I)

JK = IK - IJ = 13 - 5 = 8

JK = KL = 8 (Tangents from external point K)

LM = MN = 14 (Tangents from external point M)

Thus,

IK = IJ + JK = 5 + 8 = 13

KM = KL + LM = 8 + 14 = 22

MI = MN + NI = 14 + 5 = 19

Perimeter = IK + KM + MI = 13 + 22 + 19 = 54

which of the following are remote interior angles of <6? check all that apply

Answers

Answer:

C. <3, E. <1

Step-by-step explanation:

A triangle has 3 vertices, so it has exactly 3 interior angles, one at each vertex.

A triangle has 2 exterior angles at each vertex, so a triangle has 6 exterior angles. Each exterior angle is adjacent to an interior angle. The interior angles that are not adjacent to an exterior angle are that exterior angle's remote interior angles.

<6 is an exterior angle of the triangle. <5 is the other exterior angle at that vertex. <2 is an interior angle of the triangle and is adjacent to <6, so <2 is not a remote interior angle to <6.

The other two interior angles of the triangle are <1 and <3.

<1 and <3 are interior angles that are not adjacent to <6, so they are the remote interior angles to <6.

Answer: <1, <3

help8b2 • 2b3 a) 16b-2 ,b) 16b6 ,c) 16b-4 ,d) 16b5

Answers

Answer:

16b^5

Step-by-step explanation:

8b^2×2b^3

= 16b^2+3

= 16b^5

Answer:

D)16b5

Step-by-step explanation:

8b2×2b3

= 16b2+3

= 16b5

in the equation z=x^2-3y, find the value of z when x=-3 and y=4

Answers

Answer:

z=-3

Step-by-step explanation:

z=(-3)^2 - 3(4)

z=9 - 12

z=-3

If =x/y=5/8
then x/5=

Answers

[tex]\dfrac{x}{y}=\dfrac{5}{8}\Big|\cdot\dfrac{y}{5}\\\\\dfrac{x}{5}=\dfrac{y}{8}[/tex]

Answer:

x/5 = y/8

Step-by-step explanation:

x          5

----- = -------

y          8

Using cross products

8x = 5y

Divide each side by 8

x = 5/8 y

Divide each side by 5

x/5 = y/8

plz answer this asap

Answers

Answer:

50%

Step-by-step explanation:

Owen made 60% of the shots he attempted during his hockey practice. He made 18 shots. How many shots did Owen attempt during his hockey practice?

Answers

Answer:

11 shots

Step-by-step explanation:

60% of 18 = 10.810.8 rounded = 11

Why we did this:

Owen made 60% of the shots he made, and he made 18 shots in total. Therefore, we would take 60% of 18.The answer we get is 10.8, but we can't have a part of a shot. That wouldn't make sense. Therefore, we have to round up to 11 shots.

So therefore, Owen made 11 of 18 shots he attempted.

Owen attempted 11 shots during the hockey practice.

Number of shots attempted by Owen = 18

Percentage of shots made = 60%

Then, the number of shots made will be calculated as:

= Percentage of shots made × Number of shots attempted

= 60% × 18

= 60/100 × 18

= 0.6 × 18

= 10.8 shots

= 11 shots approximately

In conclusion, Owen made 11 shots

Read related link on:

https://brainly.com/question/18298965

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