A convenience store sell pre-paid mobile phones. It purchases them for $12 each and uses a mark up rate of 250%.


a. The markup rate is the constant of proportionality in the equation y= kx. Write an equation that can be used to find the amount of markup on the cost x of a phone


b. Use the equation to calculate the markup amount. What is the retail price of a phone?


c. Next week the store is going to reduce the price to $31. 50. Calculate what percent the sale price is of the retail price.


d. Based on your answer to part C, what is an equation in the form y = kx that relates the sale price to the retail price x?

Answers

Answer 1

Answer:

  a.  y = 2.5x

  b.  markup: $30; retail price: $42

  c.  75%

  d.  y = 0.75x

Step-by-step explanation:

You want equations relating markup, retail price, and sale price on a phone that costs $12, is marked up 250%, then put on sale for $31.50.

a. Markup equation

The problem statement tells you the markup is 250% of the cost. You could write the equation as ...

  y = (250%)x

Or you can simplify it to a decimal number:

  y = 2.5x

b. Markup amount

The markup amount is ...

  y = 2.5(12) = 30

The markup amount is $30.

That is added to the cost to get the retail price:

  retail = $12 +30 = $42

The retail price of the phone is $42.

c. Sale price

The sale price as a percent of the retail price is ...

  percent = (sale price)/(retail price) × 100%

  percent = 31.50/42 × 100% = 75%

The sale price is 75% of the retail price.

d. Sale price equation

As in part (a), we could write this as ...

  y = (75%)x

or, in decimal, as ...

  y = 0.75x

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Related Questions

HELP ILL GIVE BRAINLIEST!!!

dividing mixed numbers^^

Answers

Answer:

1) 1[tex]\frac{59}{70}[/tex]

2)[tex]1\frac{7}{44}[/tex]

3)[tex]\frac{22}{25}[/tex]

4)[tex]2\frac{4}{33}[/tex]

5)[tex]\frac{38}{45}[/tex]

6) [tex]\frac{80}{141}[/tex]

I want to know how to get the GCF and LCM of 8,24,48

Answers

Answer:

GCF = 8

LCM = 48

Step-by-step explanation:

18+x=27
please answer soon:)

Answers

Answer:

x = 9

Step-by-step explanation:

18 + x = 27

x = 27 - 18

x = 9

Justin invested $7,300 in an account paying an interest rate of 1.5% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest tenth of a year, for the value of the account to reach $8,560?

Answers

Answer: 10.7 years.

Step-by-step explanation:

7,300 * (1 + 0.015)^x = 8,560 <=>

7,300 * 1.015^x = 8,560 <=>

1.015^x = 8,560 / 7,300 <=>

1.015^x = 1.1726 <=>

x = 10.694

To the nearest tenth:

x = 10.7 years

what is 0.133 with a bar over 33

Answers

Answer:

2/15

Step-by-step explanation:

make x= 0.13

multiply it by  10^1 .  

10x = − 1.33

subtract x from 10x

10x−x =

1.33 - 0.13

9x =  1.2  

divide both sides by 9 to get x as a fraction

x =  1.2/9  =  

12/90  =  

2/15

httpssocraticorgquestionshowdoyouconvert0133beingrepeatedtoafraction#242780

A bar over a digit in a decimal number, such as 0.133 with a bar over the 3, indicates that the number is a repeating decimal. In this case, 0.133 is a repeating decimal and the digit 3 is repeating infinitely.

What is repeating decimal?A repeating decimal is a decimal number whose digits are periodic and repeat infinitely. They are also called recurring decimals. For example, 0.333... is a repeating decimal, with the digit 3 repeating indefinitely. The same goes for 0.666... and so on. They can also be represented in the form of a fraction, where the numerator is the repeating decimal and the denominator is a power of 10 with a 1 followed by as many zeroes as the number of digits in the repeating block. Repeating decimals can also be represented with a bar over the repeating block of digits, for example 0.133 with a bar over the 3, indicating that the digit 3 is repeating infinitely. It's also written as 0.133(3) where (3) means the repeating decimal. Another way is to use a dot above the repeating digit.

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Marcelle and Megan realized that they could express their ages more specifically if they used fractions. Doing this will allow them to calculate their difference in their ages. Marcelle is $15\frac{1}{2}$ years old, and Megan is $7\frac{7}{12}$. What is the difference in their ages? Express your answer as a simplified mixed number.

Answers

The difference between their ages is obtained as 35/12.

What is the difference?

Let us recall that the term fraction has to do with a part of a whole. In this case, we have been told that Marcelle and Megan realized that they could express their ages more specifically if they used fractions.

Age of Marcelle  = 15 1/2 or 31/2 years

Age of Megan  = 12 7/12 or 151/12 years

The difference between their ages is;

31/2 - 151/12

=186 - 151/12

=35/12

There ages would have a difference of 35/12.

In the computation that has gone on above, we can clearly see that the difference in the ages is 35/12.

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Missing parts;

Marcelle and Megan realized that they could express their ages more specifically if they used fractions. Doing this will allow them to calculate their difference in their ages. Marcelle is 15 1/2 years old, and Megan is 7 7/12. What is the difference in their ages? Express your answer as a simplified mixed number.

What is the common difference for this arithmetic sequence? 45, 40,35, 30.25,...​

Answers

Answer:

It decreases by 5 each time. -5 would be another way to state it

Step-by-step explanation:

Answer:

d = - 5

Step-by-step explanation:

The common difference d is the difference between consecutive terms, so

d = a₂ - a₁ = 40 - 45 = = 5

Good morning, is there any guinea pig expert or anybody with a small creature know what's going on cause inside my guinea pig eye (not outer) have this white spot in the pupil, it expands and shrinks.. please help

Answers

I would like to ask you to go to the vet, or attempt to, as this might be a worm in the eye. The same thing happened to my dog.

Can some help me with my delta math assignment I need help I’m failing this class bad and the school is almost over lol.

Answers

Answer:

SURFACE ARE: 1068.14

Lateral surface area: 439.82

Step-by-step explanation:

A=2πrh+2πd=2×π×10×7+2×π×1000=1068.14

Al= 2drh=2×π×10×7≈439.82

Solve the equation t − 3 = 17 for t.
−20
20
−14
14
I already searched the question and none of the answers I saw were an option.

Answers

The equation can be solved by adding 3 to both sides of the equation.

Solve the equation t − 3 = 17 for t?To solve the equation t − 3 = 17, we need to add 3 to both sides of the equation. Doing so, we get t = 17 + 3 = 20. Therefore, the value of t is 20.In this case, the variable is t. The equation t - 3 = 17 has 3 subtracted from t on the left side, so to isolate t, we must add 3 to both sides to make the equation equal. Once we do this, we are left with t = 20.The equation t − 3 = 17 is an equation with a single variable, t.The equation t - 3 = 17 is a simple algebraic equation that can be solved by performing the inverse operation of subtraction. To solve this equation, we must first add 3 to both sides of the equation.Therefore, the solution to the equation t - 3 = 17 is t = 20.The equation can be solved by adding 3 to both sides of the equation. When 3 is added to the left side of the equation, it cancels out the -3, leaving just t. When 3 is added to the right side of the equation, it increases the value of the right side from 17 to 20. Therefore, the equation t − 3 = 17 can be solved by adding 3 to both sides, which results in the equation t = 20.This means that the value of t is 20.

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A woman has 23 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 4.10, how many
dimes and how many quarters does she have?

Answers

Answer:

Step-by-step explanation:

there is 1 dime and 12 quarters

Ross had 85 papers to grade from his students. He has graded 60 of them. Approximately what percentage of papers does he have left to grade?

Answers

well, our origin amount will be 80, so 80 is the 100% or all papers, now, she has graded 60, so what's leftover is 20, what's 20 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 80 & 100\\ 20& x \end{array} \implies \cfrac{80}{20}~~=~~\cfrac{100}{x} \\\\\\ 4 ~~=~~ \cfrac{ 100 }{ x }\implies x=\cfrac{100}{4}\implies x=25[/tex]

PLEASE HELP Water flowed out of a tank at a steady rate. A total of 18 and one-half gallons flowed out of the tank in 4 and one-fourth hours. Which expression determines the quantity of water leaving the tank per hour?

Answers

The expression determines the quantity of water leaving the tank per hour is (18 1/2 gallons)/(4 1/4 hours)

How to find which expression determines the quantity of water leaving the tank per hour?

Rate is the ratio of a certain number of units of one quantity to units of another quantity. Mathematically, rate is one quantity divided by the other quantity.

If a total of 18 and one-half gallons flowed out of the tank in 4 and one-fourth hours. We can write that the rate as follows:

rate = (18 1/2 gallons)/(4 1/4 hours)

rate = 4 6/17 gallons per hour

Thus, the expression determines the quantity of water leaving the tank is (18 1/2 gallons)/(4 1/4 hours)

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The circumference of a circle is 125.6 millimeters. What is the circle's radius?

Answers

Answer:

20 millimeters.

Step-by-step explanation:

To find the radius of a circle with circumference, you must divide the circumference by pi (3.14).

After dividing the circumference by pi, you now have the diameter of the circle.

Secondly, to get the radius, divide the quotient (the diameter) by 2.

The quotient is the radius of the circle.

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

Now, I will repeat these steps using the circumference of 125.6 millimeters.

125.6 ÷ 3.14 = 40.

40 ÷ 2 = 20.

Therefore, 20 millimeters is the radius of this circle.

The circle's radius is mathematically given as

r=20

What is the circle's radius?

Question Parameter(s):

The circumference of a circle is 125.6 millimeters.

Generally, the equation for the circumference  is mathematically given as

C=2\pi r

Therefore

C=2 *3.14*r

125.6=2 *3.14*r

r=20

In conclusion, The raduis

r=20

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Find the surface area and show the work

Answers

Answer:

where is the qestion

Step-by-step explanation:

Answer:

surface area for what u didn't include any numbers

1/4(12x-20)+3(3x+5) I'm extremally confused I'm supposed to simplify

Answers

Answer:

12X+10

Step-by-step explanation:

THAT IS THE SIMPLFY 1-4 x (12x-20)+3(3x+5) Facout our 4 from the expression 1-4 x4 (3x-5)+3(3x+5) Simply the expression cancel out the greatest common factor 4 remove unncessary parntheses if so collect the terms 3x 9x 12x and the solutin is 12x+10

please help it's due today, And please if you don't know the answers don't put any links or apps. And if you do know the answer plz help me.I'll mark as brainliest

Answers

the first one is 3. and the second is 1.

Answer:

B (1): iii

B(2): ii

Step-by-step explanation:

B(1): answer choice 3 is the only answer increasing at a constant rate.

B(2): answer choice two is the only answer not increasing at a constant rate

Find the derivative.
y = x tanh^-1(x) + ln (√( 1 −x2))

Answers

The answer is:

- 1 < x < 1

I hope this is correct

Refer to the image attached.

What is the volume of a cylinder with a radius of 30 cm and a height of 15 cm PLEASE IM BEGGING PLEASE HELP

Answers

Answer:

We need to find the area of the base/circle then multiply it by the height so if you know the formula area of a circle your good to go.

30^2 = 900

900 x 3.14 =2,826

Now lets multiply the base's area/circle by the height!

2,826 x 15 = 42,390 cm^3(cm cubed) is your answer.

Benji's flight from Chicago to San Jose took 0.5 hour longer than his return flight from San Jose
to Chicago. If Benji's flight from Chicago to San Jose was 4.5 hours long, how long was his return
flight, in hours?
Choose 1 answer:
A
3.5
B 4
C 4.5
D
assroom
5

Answers

The time taken for his return flight, in hours could be  4 hours.

What is time ?

Time is defined as the sequence of events that occurs which can be from past through present or to future.

Given,

Benji's flight from Chicago to San Jose took 0.5 hour longer than his return flight from San Jose to Chicago.

If Benji's flight from Chicago to San Jose was 4.5 hours long

let,

chicago to san jose = san jose  to chicago+0.5

4.5 - 0.5  = san jose to chicago

san jose to chicago  = 4 hours

Hence,  How  long was his return flight, in hours is 4 hours.

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Directions: Find each value or measure. Assume that segments that appear to be tangent are tangent ​

Answers

Answer:

x = 7, x = 5

Step-by-step explanation:

Given 2 intersecting chords, then

The product of the parts of one chord is equal to the product of the parts of the other chord.

(1)

27x = 9 × 21 = 189 ( divide both sides by 27 )

x = 7

(2)

12(3x - 5) = 120 ( divide both sides by 12 )

3x - 5 = 10 ( add 5 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

9) Which point is a solution to the equation 3x + 2y = 9?
A. (0,4) B. (4,0) C. (1,3) D. (3, 1)

Answers

Answer:

c. (1, 3)

Step-by-step explanation:

The coordinates that best suite the equation, given it the answer.

Select the correct answer. How can you write the expression 7(b – 2) in words? A. Two subtracted from the quotient of seven divided by b B. Seven added to difference of b minus two C. The quotient of seven divided by b minus two D. Two subtracted from seven times b E. The product of seven and the difference of b minus two

Answers

I think the answer is E.

Answer:

its e

Step-by-step explanation:

PLEASE HELP!! WILL GIVE BRAINLIEST IF RIGHT
what is the value of x + y for the system of equations?

y = 2/3x - 9
y= 8 - 2x

Answers

Answer:

I got decimals when I graphed but I got (6.25,-4.75)

Step-by-step explanation:

I made a graph and placed the 2 equations in and marked where they intercepted which is (6.25,-4.75)


Use algebra tiles to solve 2x + 1 = 9 on IXL

Answers

Answer: 4

Step-by-step explanation:

1. Question: 2x+1=9

2. Subtract 1 from the 9

Answer to step 2: 2x=8

3. Divide 8/2 (4x2)

4. Answer: x=4

Answer: X= 4; look below for the explanation of algebra tiles

Step-by-step explanation: First, we need to determine the value of x. We can use the rule of inverse operations. So, the opposite of addition is subtraction, and the opposite of multiplication is division. Now, using that, we start with the inverse operations of 1 + 9. That'd be 9 - 1. So, that's 8. Now, according to the order of inverse operations, we divide the 2 by 8. So, 8 divided by 2 is 4. Therefore x = 4.

Now, using the tiles, we need to get 8 tiles, + 1 tile, which should get you your answer. I hope this helped!

Jess and Brian are playing the following game: Jess thinks of a fraction, and Brian flips a coin. If the coin turns up heads, Jess multiplies the number she's thinking of by $\frac{5}{6}$. If the coin turns up tails, she multiplies the number she's thinking of by $\frac{6}{5}$. Brian flips the coin ten times, and after each flip Jess multiplies the number in her head by either $\frac{5}{6}$ or $\frac{6}{5}$, depending on the coin flip. The ten coin flips turn out to be:\[ \text{THTTHTHTTT}, \]where H means 'heads' and T means 'tails.' What number is Jess thinking of at the end of the game if she starts out with the fraction $\frac{5}{9}$

Answers

Starting out with the fraction of 5/9, Jess would be thinking of the fraction 144/125 at the end of the game if the ten coin flips turn out to be {THTTHTHTTT}.

What is the probability of getting H or T in a coin flip?

Since both outcomes are equally likely, the probability of getting heads is 0.5 and the probability of getting tails is also 0.5. Alternatively, the probability of getting H or T in a coin flip is 1.

What is the significance of probability?

Probability is an important method for comprehending and making judgments regarding uncertain occurrences in many disciplines, including statistics, finance, and science. It aids in quantifying and forecasting the probability of specific events, enabling us to make better educated choices and comprehend the degree of risk involved with various activities. In summary, probability is a key idea in decision-making and risk management because it is a potent instrument for comprehending and managing uncertainty.

Taking the sequence of coin flips in ten tires, i.e THTTHTHTTT , and starting from the fraction 5/9, the fraction that jess would be thinking at the end of the game can be calculated as,

5/9 * (6/5)^7 *(5/6)^3 , since there are 7 Tails and 3 Heads during the whole game. Which is equal to the fraction 144/125.

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why is the product of the circumradius and the area of the triangle equal to the product of the sides of the triangle

Answers

Answer:

  It isn't.

  The correct relation is 4r·Area = abc.

Step-by-step explanation:

You want to show the relation between the product of triangle side lengths and the product of the triangle area and the radius of the circumcircle.

Triangle area

The area of the triangle in the attached diagram can be found by ...

  Area = 1/2(bc)sin(α)

Side length

The inscribed angle theorem tells you the measure of the arc subtended by an inscribed angle is twice the measure of the inscribed angle. That means the opposite chord will be twice the length of the product of the radius and the inscribed angle value:

  a = 2r·sin(α)

Circumradius product

The product of the circumradius and the area of the triangle is ...

  r·Area = r·(1/2)(bc)sin(α) = 1/4(bc)(2r·sin(α)) = 1/4abc

Without the fractions, the relation is ...

  4r·Area = abc

__

Additional comment

As a simple example, consider a 3-4-5 right triangle. The area of the triangle is ...

  A = 1/2(3)(4) = 6

The circumradius is half the length of the hypotenuse, r = 5/2.

The relation of interest is ...

  4r·Area = abc

  4(5/2)(6) = 3·4·5

  60 = 60 . . . . . . . . . . as expected

This could be a very simple way to find the circumradius of a triangle.

Find the circumstances

Answers

Answer:

15π = 47.12

Step-by-step explanation:

C = pi(diameter)

C= 15π

Answer:

Solution given:

diameter [d]=15m

circumference =?

we have

circumference of circle =πd=π×15=15π or 47.12m

What is the first step to do in using substitution method?

Answers

Answer: Solve one equation for one of the variables.

Step-by-step explanation:

Given a system of equations where you are asked to solve the system using substitution the first step would be pick one of the equations and solve it for one of the varibles. If one is already solved for one variable plug it into the other equation.

PLEASE HELP ME I WILL GIVE BRAINIEST IM STUDYING HELP A PERSON OUT NO SCAMMSSS>S>>S

Answers

Answer:

White

Step-by-step explanation:

20 divided by 4 = 5

White was spun 5 times.

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