Reuben bought 5CDS that were each the same priceIncluding sales tax, he paid a total of \$81.50. Each CD had a tax of $0.60. what was the price of each cs before tax ?

Answer:

[tex]Profit\% = 25\%[/tex]

Step-by-step explanation:

Given

Let the cost price be x

The profit be y

Required

Determine the profit percentage:

According to the question; profit =  1/4 of cost price.

So:

[tex]y =\frac{1}{4}x[/tex]

The percentage profit is then calculated as:

[tex]Profit\% = \frac{Profit}{Cost\ Price} * 100\%[/tex]

This gives:

[tex]Profit\% = \frac{Profit}{Cost\ Price} * 100\%[/tex]

Substitute values for profit and cost price

[tex]Profit\% = \frac{\frac{1}{4}x}{x} * 100\%[/tex]

[tex]Profit\% = \frac{1}{4} * 100\%[/tex]

[tex]Profit\% = \frac{1 * 100\%}{4}[/tex]

[tex]Profit\% = 25\%[/tex]

Answer:

[tex]\frac{24}{d}[/tex]

Step-by-step explanation:

the quotient is the result of dividing 24 by d , that is

quotient = [tex]\frac{24}{d}[/tex]

Answer:

N is 5 im pretty sure

Step-by-step explanation:

Circumference = Perimeter

Perimeter of Circle

= 550cm

Also,

Perimeter of Circle

= 2πr

Now,

2πr = 550

πr = 550/2

πr = 275

r = 275/π

r = 275/ 22/7

r = 275 × 7/22

r = 87.5cm

Answer:

I think it is c but I'm not sure

Answer:

[tex]5x+6y=22.50\\x+9y=24.75[/tex]

Step-by-step explanation:

Cost of 5 drinks and 6 snacks = $22.50

Cost of 1 drink and 9 snacks = $24.75

Each drink costs the same and each snack costs the same.

Let cost of each drink = $[tex]x[/tex]

Let cost of each snack = $[tex]y[/tex]

As per the question, writing the system of equations:

[tex]5x+6y=22.50 ...... (1)\\x+9y=24.75 ...... (2)[/tex]

Let us use elimination method, to find the cost of each drink and cost of each snack.

Multiplying equation (2) by 5 and then subtracting equation (1) from it:

[tex]45y - 6y = 123.75 - 22.5 \\\Rightarrow 39y = 101.25\\\Rightarrow y \approx \$2.60[/tex]

Using equation (1):

[tex]5x+2.6 \times 6 = 22.5\\\Rightarrow 5x = 22.5 - 15.6\\\Rightarrow 5x = 6.9\\\Rightarrow x = \$1.38[/tex]

Cost of each drink = $1.38

Cost of each snack = $2.60

Answer:

D

Step-by-step explanation: I just took the quiz.

The measurement which is closest to the  height of this cylinder is: C. 48 in.

Given the following data:

To determine the measurement which is closest to the  height of this cylinder in inches:

Mathematically, the volume of a cylinder is given by the formula:

[tex]Volume = \pi r^2h[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]8478 = 15^2h\\\\8478 = 225h\\\\h=\frac{8478}{225}[/tex]

Height, h = 37.38 inches.

Closest height = 48 inches.

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Answer:

The slope is 0

Step-by-step explanation:

If the line is horizontal then it's 0

The modelled John's height with an equation is x = 41 - 6 × 2.5.

Given that, the average growth for the height of a boy from age 6 to 12 is 2.5 inches per year. John is 6 years old and is 41 inches tall.

We need to model John's height with an equation.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let John's initial height be x.

Now, an equation = x = 41 - 6 × 2.5

Therefore, the modelled John's height with an equation is x = 41 - 6 × 2.5.

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Data defines a claim that has been verified, examined, and backed up by numerous pieces of evidence.

Data is information that has been transformed into a format that is useful for transfer or processing in computing. Information that has been converted into binary digital form for usage with contemporary computers and communication channels is referred to as data.

As the volume of data being collected and stored increases, so do the units used to measure it. For instance, the relatively new concept of a "brontobyte" refers to a unit of data storage that is 10 to the 27th power of bytes.

File formats can be used to store data, such as ISAM and VSAM in mainframe systems. Another file format for storing, converting, and processing data is comma-separated values.

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Answer:

Hi

Step-by-step explanation:

hi

hi

hi______________________

Answer:

2x -5(x-3) = -4 +5x -29

2x-5x+15 = -4 +5x -29

-3x +15 = 5x -33

-8x= -48

x=6

Answer:

n = 1/2

Step-by-step explanation:

4/5(1/2) - 1/5 = 2/5(1/2)

4/10 - 2/10 = 2/10

Answer:

-7

Step-by-step explanation:

5x-5-3x=-19

2x-5=-19

2x=-14

x=-7

Answer:

Yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

when you carry the 6 to y=6y then you divide the number by two

The dimensions of pool 25.5m width, 76.5m length.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure.

let x=  Width

formula of area of rectangle = Length x Width

Given;

[tex]\begin{aligned}&(3 x+2)(x+2)=3 x^{2} +208 \\&3x^{2} +8 x+4=3x^{2} +208\end{aligned}[/tex]

We can substrate [tex]3x^{2}[/tex] and 4 from both sides.

8x = 204

x = 25.5m width, 76.5m length.

(25.5)(76.5) = 1950.75 [tex]m^{2}[/tex]

(27.5)(78.5) = 2158.75 [tex]m^{2}[/tex]

The difference is 208[tex]m^{2}[/tex]

The dimensions of pool 25.5m width, 76.5m length .

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Answer: its c

Step-by-step explanation:

its c

Answer:

(-∞,+∞)

Step-by-step explanation:

The function is a continuous quadratic function

Answer:

C

Step-by-step explanation:

Answer:

C; Acres of land, Sale price

Step-by-step explanation: I think this because no other relationship would be accurate with numbers that specific.

Answer:

c

Step-by-step explanation:

Answer:

$8

Step-by-step explanation:

40 x .8 = 32

40 - 32 = 8

Answer: 11/12

Step-by-step explanation:

7/12 and 1/3 don’t have the same denominator, so you can’t just add them right away. You have to give them the same bottom number. 1/3 = 4/12, so you can do it like this:

7/12 + 4/12 = 11/12

11/12 is in simplest form, so that should be correct! Hope this helps! :)

Step-by-step explanation:

Hi so are we dating?????

Answer:

(h + g)(8) = 67

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

h(t) = t² + 2t

g(t) = -t - 5

Step 2: Find (h + g)(x)

Step 3: Find (h + g)(8)

Answer:x=9

Step-by-step explanation:

Answer: x = 9

Step-by-step explanation:

9x + 5 = 86

9x + 5 - 5 = 86 - 5 (you subtract 5 from both sides to isolate the 9x)

9x = 81

9x/9 = 81/9 (to get the value of x, you divide both sides by 9)

x = 9

Answer:

J

Step-by-step explanation:

Add 38+50 to find the answer. To check you can do 50+38=88

180-88=92

180-92=88

I hope this helps.

Answer:

1/2 * 5/4

Step-by-step explanation:

when dividing fractions, you change the symbol to a multiplication sign and use the reciprocal of the second fraction

Answer:

C. 1/2 * 5/4

Step-by-step explanation:

Reciprocals

If Ajay keeps up his plans for 14 weeks he would have run total of 391 miles.

The sum of n terms of a Geometric Progression ( a,ar,ar²,ar³,...,arⁿ⁻¹ ) is given by

Sₙ=a(rⁿ-1)/(r-1)

where, a=first term

and r = common ratio

In the given question ,

Ajay runs 20 miles in first week ,     ...(i)

In second week the distance is increased by 5% of the previous week .

So in second week he runs = 20+5% of 20

[tex]=20+\frac{5}{100} *20[/tex]

=20(1+5/100)

=20(105/100)

=[tex]20\times(\frac{21}{20})[/tex]          ...(ii)

In third week Ajay runs = 20(21/20) + 5% of  20(21/20)

=[tex]20(\frac{21}{20} )+\frac{5}{100} *20(\frac{21}{20} )[/tex]

=20(21/20)[1+5/100]                   ..taking 20(21/20) common

[tex]=20(\frac{21}{20} )[\frac{105}{100} ][/tex]

=20(21/20)(21/20)

=20(21/20)²              ...(iii)

Similarly in 14th week Ajay Runs = 20(21/20)¹³ .    ...(iv)

Total miles run by Ajay = miles run in first week + miles run in 2nd week +    ...+ miles run in 14th week.

Substituting the values of equation (i), (ii), (iii) and (iv) we get

Total miles run by Ajay = [tex]20+20(\frac{21}{20} )+20(\frac{21}{20} )^{2} +...+20(\frac{21}{20} )^{13}[/tex]

The above series represent a Geometric Progression with common ratio as (21/20) and first term as 20.

Substituting in the formula for Sum of Geometric Mean we get

[tex]S_{14} =20(\frac{(\frac{21}{20} )^{14} -1}{\frac{21}{20} -1} )[/tex]

S₁₄=20*((1.05)¹⁴-1)/(1.05-1)

=20*(1.9799-1)/0.05

=20*0.9799/0.05

=20*19.598

=391.96

≅391

Therefore , If Ajay keeps up his plans for 14 weeks he would have run total of 391 miles.

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Answer:

C 35

Step-by-step explanation:

Brainliest